This is a library of 149 basic microtuning table files for developers, musicians, composers, researchers and intonation enthusiasts alike, in the popular Scala SCL format.

Originally compiled as a learning device for newcomers to microtuning, it provides a useful overview of many basic musical instrument intonation types, such as equal-temperaments (included are equal divisions of harmonics 2, 3 and 4), just-intonation (harmonic and subharmonic series sections), as well as nonoctave systems by Wendy Carlos.

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12 Tone Equal Temperament | ED2-12 - Equal division of harmonic 2 into 12 parts
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  0:          1/1               0.000000 unison, perfect prime
  1:        100.000 cents     100.000000
  2:        200.000 cents     200.000000
  3:        300.000 cents     300.000000
  4:        400.000 cents     400.000000
  5:        500.000 cents     500.000000
  6:        600.000 cents     600.000000
  7:        700.000 cents     700.000000
  8:        800.000 cents     800.000000
  9:        900.000 cents     900.000000
 10:       1000.000 cents    1000.000000
 11:       1100.000 cents    1100.000000
 12:          2/1            1200.000000 octave
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35.1 CET - Wendy Carlos - Gamma
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  0:          1/1               0.000000 unison, perfect prime
  1:         35.100 cents      35.100000
|
63.8 CET - Wendy Carlos - Beta
|
  0:          1/1               0.000000 unison, perfect prime
  1:         35.100 cents      35.100000
|
78.0 CET - Wendy Carlos - Alpha
|
  0:          1/1               0.000000 unison, perfect prime
  1:         35.100 cents      35.100000
|
88.0 CET - Gary Morrison
|
  0:          1/1               0.000000 unison, perfect prime
  1:         35.100 cents      35.100000
|
Bohlen-Pierce: ED3-13 - Equal division of harmonic 3 into 13 parts
|
  0:          1/1               0.000000 unison, perfect prime
  1:        146.304 cents     146.304230
  2:        292.608 cents     292.608460
  3:        438.913 cents     438.912690
  4:        585.217 cents     585.216920
  5:        731.521 cents     731.521150
  6:        877.825 cents     877.825390
  7:       1024.130 cents    1024.129620
  8:       1170.434 cents    1170.433850
  9:       1316.738 cents    1316.738080
 10:       1463.042 cents    1463.042310
 11:       1609.347 cents    1609.346540
 12:       1755.651 cents    1755.650770
 13:          3/1            1901.955001 perfect 12th
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ED2-05 - Equal division of harmonic 2 into 5 parts
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  0:          1/1               0.000000 unison, perfect prime
  1:        240.000 cents     240.000000
  2:        480.000 cents     480.000000
  3:        720.000 cents     720.000000
  4:        960.000 cents     960.000000
  5:          2/1            1200.000000 octave
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ED2-06 - Equal division of harmonic 2 into 6 parts
|
  0:          1/1               0.000000 unison, perfect prime
  1:        200.000 cents     200.000000
  2:        400.000 cents     400.000000
  3:        600.000 cents     600.000000
  4:        800.000 cents     800.000000
  5:       1000.000 cents    1000.000000
  6:          2/1            1200.000000 octave
|
ED2-07 - Equal division of harmonic 2 into 7 parts
|
  0:          1/1               0.000000 unison, perfect prime
  1:        171.429 cents     171.428570
  2:        342.857 cents     342.857140
  3:        514.286 cents     514.285710
  4:        685.714 cents     685.714290
  5:        857.143 cents     857.142860
  6:       1028.571 cents    1028.571430
  7:          2/1            1200.000000 octave
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ED2-08 - Equal division of harmonic 2 into 8 parts
|
  0:          1/1               0.000000 unison, perfect prime
  1:        150.000 cents     150.000000
  2:        300.000 cents     300.000000
  3:        450.000 cents     450.000000
  4:        600.000 cents     600.000000
  5:        750.000 cents     750.000000
  6:        900.000 cents     900.000000
  7:       1050.000 cents    1050.000000
  8:          2/1            1200.000000 octave
|
ED2-09 - Equal division of harmonic 2 into 9 parts
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  0:          1/1               0.000000 unison, perfect prime
  1:        133.333 cents     133.333330
  2:        266.667 cents     266.666670
  3:        400.000 cents     400.000000
  4:        533.333 cents     533.333330
  5:        666.667 cents     666.666670
  6:        800.000 cents     800.000000
  7:        933.333 cents     933.333330
  8:       1066.667 cents    1066.666670
  9:          2/1            1200.000000 octave
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ED2-10 - Equal division of harmonic 2 into 10 parts
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  0:          1/1               0.000000 unison, perfect prime
  1:        120.000 cents     120.000000
  2:        240.000 cents     240.000000
  3:        360.000 cents     360.000000
  4:        480.000 cents     480.000000
  5:        600.000 cents     600.000000
  6:        720.000 cents     720.000000
  7:        840.000 cents     840.000000
  8:        960.000 cents     960.000000
  9:       1080.000 cents    1080.000000
 10:          2/1            1200.000000 octave
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ED2-11 - Equal division of harmonic 2 into 11 parts
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  0:          1/1               0.000000 unison, perfect prime
  1:        109.091 cents     109.090910
  2:        218.182 cents     218.181820
  3:        327.273 cents     327.272730
  4:        436.364 cents     436.363640
  5:        545.455 cents     545.454550
  6:        654.545 cents     654.545450
  7:        763.636 cents     763.636360
  8:        872.727 cents     872.727270
  9:        981.818 cents     981.818180
 10:       1090.909 cents    1090.909090
 11:          2/1            1200.000000 octave
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ED2-12 - Equal division of harmonic 2 into 12 parts
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  0:          1/1               0.000000 unison, perfect prime
  1:        100.000 cents     100.000000
  2:        200.000 cents     200.000000
  3:        300.000 cents     300.000000
  4:        400.000 cents     400.000000
  5:        500.000 cents     500.000000
  6:        600.000 cents     600.000000
  7:        700.000 cents     700.000000
  8:        800.000 cents     800.000000
  9:        900.000 cents     900.000000
 10:       1000.000 cents    1000.000000
 11:       1100.000 cents    1100.000000
 12:          2/1            1200.000000 octave
|
ED2-13 - Equal division of harmonic 2 into 13 parts
|
  0:          1/1               0.000000 unison, perfect prime
  1:         92.308 cents      92.307690
  2:        184.615 cents     184.615380
  3:        276.923 cents     276.923080
  4:        369.231 cents     369.230770
  5:        461.538 cents     461.538460
  6:        553.846 cents     553.846150
  7:        646.154 cents     646.153850
  8:        738.462 cents     738.461540
  9:        830.769 cents     830.769230
 10:        923.077 cents     923.076920
 11:       1015.385 cents    1015.384620
 12:       1107.692 cents    1107.692310
 13:          2/1            1200.000000 octave
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ED2-14 - Equal division of harmonic 2 into 14 parts
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  0:          1/1               0.000000 unison, perfect prime
  1:         85.714 cents      85.714290
  2:        171.429 cents     171.428570
  3:        257.143 cents     257.142860
  4:        342.857 cents     342.857140
  5:        428.571 cents     428.571430
  6:        514.286 cents     514.285710
  7:        600.000 cents     600.000000
  8:        685.714 cents     685.714290
  9:        771.429 cents     771.428570
 10:        857.143 cents     857.142860
 11:        942.857 cents     942.857140
 12:       1028.571 cents    1028.571430
 13:       1114.286 cents    1114.285710
 14:          2/1            1200.000000 octave
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ED2-15 - Equal division of harmonic 2 into 15 parts
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  0:          1/1               0.000000 unison, perfect prime
  1:         80.000 cents      80.000000
  2:        160.000 cents     160.000000
  3:        240.000 cents     240.000000
  4:        320.000 cents     320.000000
  5:        400.000 cents     400.000000
  6:        480.000 cents     480.000000
  7:        560.000 cents     560.000000
  8:        640.000 cents     640.000000
  9:        720.000 cents     720.000000
 10:        800.000 cents     800.000000
 11:        880.000 cents     880.000000
 12:        960.000 cents     960.000000
 13:       1040.000 cents    1040.000000
 14:       1120.000 cents    1120.000000
 15:          2/1            1200.000000 octave
|
ED2-16 - Equal division of harmonic 2 into 16 parts
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  0:          1/1               0.000000 unison, perfect prime
  1:         75.000 cents      75.000000
  2:        150.000 cents     150.000000
  3:        225.000 cents     225.000000
  4:        300.000 cents     300.000000
  5:        375.000 cents     375.000000
  6:        450.000 cents     450.000000
  7:        525.000 cents     525.000000
  8:        600.000 cents     600.000000
  9:        675.000 cents     675.000000
 10:        750.000 cents     750.000000
 11:        825.000 cents     825.000000
 12:        900.000 cents     900.000000
 13:        975.000 cents     975.000000
 14:       1050.000 cents    1050.000000
 15:       1125.000 cents    1125.000000
 16:          2/1            1200.000000 octave
|
ED2-17 - Equal division of harmonic 2 into 17 parts
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  0:          1/1               0.000000 unison, perfect prime
  1:         70.588 cents      70.588240
  2:        141.176 cents     141.176470
  3:        211.765 cents     211.764710
  4:        282.353 cents     282.352940
  5:        352.941 cents     352.941180
  6:        423.529 cents     423.529410
  7:        494.118 cents     494.117650
  8:        564.706 cents     564.705880
  9:        635.294 cents     635.294120
 10:        705.882 cents     705.882350
 11:        776.471 cents     776.470590
 12:        847.059 cents     847.058820
 13:        917.647 cents     917.647060
 14:        988.235 cents     988.235290
 15:       1058.824 cents    1058.823530
 16:       1129.412 cents    1129.411760
 17:          2/1            1200.000000 octave
|
ED2-18 - Equal division of harmonic 2 into 18 parts
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  0:          1/1               0.000000 unison, perfect prime
  1:         66.667 cents      66.666670
  2:        133.333 cents     133.333330
  3:        200.000 cents     200.000000
  4:        266.667 cents     266.666670
  5:        333.333 cents     333.333330
  6:        400.000 cents     400.000000
  7:        466.667 cents     466.666670
  8:        533.333 cents     533.333330
  9:        600.000 cents     600.000000
 10:        666.667 cents     666.666670
 11:        733.333 cents     733.333330
 12:        800.000 cents     800.000000
 13:        866.667 cents     866.666670
 14:        933.333 cents     933.333330
 15:       1000.000 cents    1000.000000
 16:       1066.667 cents    1066.666670
 17:       1133.333 cents    1133.333330
 18:          2/1            1200.000000 octave
|
ED2-19 - Equal division of harmonic 2 into 19 parts
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  0:          1/1               0.000000 unison, perfect prime
  1:         63.158 cents      63.157890
  2:        126.316 cents     126.315790
  3:        189.474 cents     189.473680
  4:        252.632 cents     252.631580
  5:        315.789 cents     315.789470
  6:        378.947 cents     378.947370
  7:        442.105 cents     442.105260
  8:        505.263 cents     505.263160
  9:        568.421 cents     568.421050
 10:        631.579 cents     631.578950
 11:        694.737 cents     694.736840
 12:        757.895 cents     757.894740
 13:        821.053 cents     821.052630
 14:        884.211 cents     884.210530
 15:        947.368 cents     947.368420
 16:       1010.526 cents    1010.526320
 17:       1073.684 cents    1073.684210
 18:       1136.842 cents    1136.842110
 19:          2/1            1200.000000 octave
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ED2-20 - Equal division of harmonic 2 into 20 parts
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  0:          1/1               0.000000 unison, perfect prime
  1:         60.000 cents      60.000000
  2:        120.000 cents     120.000000
  3:        180.000 cents     180.000000
  4:        240.000 cents     240.000000
  5:        300.000 cents     300.000000
  6:        360.000 cents     360.000000
  7:        420.000 cents     420.000000
  8:        480.000 cents     480.000000
  9:        540.000 cents     540.000000
 10:        600.000 cents     600.000000
 11:        660.000 cents     660.000000
 12:        720.000 cents     720.000000
 13:        780.000 cents     780.000000
 14:        840.000 cents     840.000000
 15:        900.000 cents     900.000000
 16:        960.000 cents     960.000000
 17:       1020.000 cents    1020.000000
 18:       1080.000 cents    1080.000000
 19:       1140.000 cents    1140.000000
 20:          2/1            1200.000000 octave
|
ED2-21 - Equal division of harmonic 2 into 21 parts
|
  0:          1/1               0.000000 unison, perfect prime
  1:         57.143 cents      57.142860
  2:        114.286 cents     114.285710
  3:        171.429 cents     171.428570
  4:        228.571 cents     228.571430
  5:        285.714 cents     285.714290
  6:        342.857 cents     342.857140
  7:        400.000 cents     400.000000
  8:        457.143 cents     457.142860
  9:        514.286 cents     514.285710
 10:        571.429 cents     571.428570
 11:        628.571 cents     628.571430
 12:        685.714 cents     685.714290
 13:        742.857 cents     742.857140
 14:        800.000 cents     800.000000
 15:        857.143 cents     857.142860
 16:        914.286 cents     914.285710
 17:        971.429 cents     971.428570
 18:       1028.571 cents    1028.571430
 19:       1085.714 cents    1085.714290
 20:       1142.857 cents    1142.857140
 21:          2/1            1200.000000 octave
|
ED2-22 - Equal division of harmonic 2 into 22 parts
|
  0:          1/1               0.000000 unison, perfect prime
  1:         54.545 cents      54.545450
  2:        109.091 cents     109.090910
  3:        163.636 cents     163.636360
  4:        218.182 cents     218.181820
  5:        272.727 cents     272.727270
  6:        327.273 cents     327.272730
  7:        381.818 cents     381.818180
  8:        436.364 cents     436.363640
  9:        490.909 cents     490.909090
 10:        545.455 cents     545.454550
 11:        600.000 cents     600.000000
 12:        654.545 cents     654.545450
 13:        709.091 cents     709.090910
 14:        763.636 cents     763.636360
 15:        818.182 cents     818.181820
 16:        872.727 cents     872.727270
 17:        927.273 cents     927.272730
 18:        981.818 cents     981.818180
 19:       1036.364 cents    1036.363640
 20:       1090.909 cents    1090.909090
 21:       1145.455 cents    1145.454550
 22:          2/1            1200.000000 octave
|
ED2-23 - Equal division of harmonic 2 into 23 parts
|
  0:          1/1               0.000000 unison, perfect prime
  1:         52.174 cents      52.173910
  2:        104.348 cents     104.347830
  3:        156.522 cents     156.521740
  4:        208.696 cents     208.695650
  5:        260.870 cents     260.869570
  6:        313.043 cents     313.043480
  7:        365.217 cents     365.217390
  8:        417.391 cents     417.391300
  9:        469.565 cents     469.565220
 10:        521.739 cents     521.739130
 11:        573.913 cents     573.913040
 12:        626.087 cents     626.086960
 13:        678.261 cents     678.260870
 14:        730.435 cents     730.434780
 15:        782.609 cents     782.608700
 16:        834.783 cents     834.782610
 17:        886.957 cents     886.956520
 18:        939.130 cents     939.130430
 19:        991.304 cents     991.304350
 20:       1043.478 cents    1043.478260
 21:       1095.652 cents    1095.652170
 22:       1147.826 cents    1147.826090
 23:          2/1            1200.000000 octave
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ED2-24 - Equal division of harmonic 2 into 24 parts
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  0:          1/1               0.000000 unison, perfect prime
  1:         50.000 cents      50.000000
  2:        100.000 cents     100.000000
  3:        150.000 cents     150.000000
  4:        200.000 cents     200.000000
  5:        250.000 cents     250.000000
  6:        300.000 cents     300.000000
  7:        350.000 cents     350.000000
  8:        400.000 cents     400.000000
  9:        450.000 cents     450.000000
 10:        500.000 cents     500.000000
 11:        550.000 cents     550.000000
 12:        600.000 cents     600.000000
 13:        650.000 cents     650.000000
 14:        700.000 cents     700.000000
 15:        750.000 cents     750.000000
 16:        800.000 cents     800.000000
 17:        850.000 cents     850.000000
 18:        900.000 cents     900.000000
 19:        950.000 cents     950.000000
 20:       1000.000 cents    1000.000000
 21:       1050.000 cents    1050.000000
 22:       1100.000 cents    1100.000000
 23:       1150.000 cents    1150.000000
 24:          2/1            1200.000000 octave
|
ED2-25 - Equal division of harmonic 2 into 25 parts
|
  0:          1/1               0.000000 unison, perfect prime
  1:         48.000 cents      48.000000
  2:         96.000 cents      96.000000
  3:        144.000 cents     144.000000
  4:        192.000 cents     192.000000
  5:        240.000 cents     240.000000
  6:        288.000 cents     288.000000
  7:        336.000 cents     336.000000
  8:        384.000 cents     384.000000
  9:        432.000 cents     432.000000
 10:        480.000 cents     480.000000
 11:        528.000 cents     528.000000
 12:        576.000 cents     576.000000
 13:        624.000 cents     624.000000
 14:        672.000 cents     672.000000
 15:        720.000 cents     720.000000
 16:        768.000 cents     768.000000
 17:        816.000 cents     816.000000
 18:        864.000 cents     864.000000
 19:        912.000 cents     912.000000
 20:        960.000 cents     960.000000
 21:       1008.000 cents    1008.000000
 22:       1056.000 cents    1056.000000
 23:       1104.000 cents    1104.000000
 24:       1152.000 cents    1152.000000
 25:          2/1            1200.000000 octave
|
ED2-26 - Equal division of harmonic 2 into 26 parts
|
  0:          1/1               0.000000 unison, perfect prime
  1:         46.154 cents      46.153850
  2:         92.308 cents      92.307690
  3:        138.462 cents     138.461540
  4:        184.615 cents     184.615380
  5:        230.769 cents     230.769230
  6:        276.923 cents     276.923080
  7:        323.077 cents     323.076920
  8:        369.231 cents     369.230770
  9:        415.385 cents     415.384620
 10:        461.538 cents     461.538460
 11:        507.692 cents     507.692310
 12:        553.846 cents     553.846150
 13:        600.000 cents     600.000000
 14:        646.154 cents     646.153850
 15:        692.308 cents     692.307690
 16:        738.462 cents     738.461540
 17:        784.615 cents     784.615380
 18:        830.769 cents     830.769230
 19:        876.923 cents     876.923080
 20:        923.077 cents     923.076920
 21:        969.231 cents     969.230770
 22:       1015.385 cents    1015.384620
 23:       1061.538 cents    1061.538460
 24:       1107.692 cents    1107.692310
 25:       1153.846 cents    1153.846150
 26:          2/1            1200.000000 octave
|
ED2-27 - Equal division of harmonic 2 into 27 parts
|
  0:          1/1               0.000000 unison, perfect prime
  1:         44.444 cents      44.444440
  2:         88.889 cents      88.888890
  3:        133.333 cents     133.333330
  4:        177.778 cents     177.777780
  5:        222.222 cents     222.222220
  6:        266.667 cents     266.666670
  7:        311.111 cents     311.111110
  8:        355.556 cents     355.555560
  9:        400.000 cents     400.000000
 10:        444.444 cents     444.444440
 11:        488.889 cents     488.888890
 12:        533.333 cents     533.333330
 13:        577.778 cents     577.777780
 14:        622.222 cents     622.222220
 15:        666.667 cents     666.666670
 16:        711.111 cents     711.111110
 17:        755.556 cents     755.555560
 18:        800.000 cents     800.000000
 19:        844.444 cents     844.444440
 20:        888.889 cents     888.888890
 21:        933.333 cents     933.333330
 22:        977.778 cents     977.777780
 23:       1022.222 cents    1022.222220
 24:       1066.667 cents    1066.666670
 25:       1111.111 cents    1111.111110
 26:       1155.556 cents    1155.555560
 27:          2/1            1200.000000 octave
|
ED2-28 - Equal division of harmonic 2 into 28 parts
|
  0:          1/1               0.000000 unison, perfect prime
  1:         42.857 cents      42.857140
  2:         85.714 cents      85.714290
  3:        128.571 cents     128.571430
  4:        171.429 cents     171.428570
  5:        214.286 cents     214.285710
  6:        257.143 cents     257.142860
  7:        300.000 cents     300.000000
  8:        342.857 cents     342.857140
  9:        385.714 cents     385.714290
 10:        428.571 cents     428.571430
 11:        471.429 cents     471.428570
 12:        514.286 cents     514.285710
 13:        557.143 cents     557.142860
 14:        600.000 cents     600.000000
 15:        642.857 cents     642.857140
 16:        685.714 cents     685.714290
 17:        728.571 cents     728.571430
 18:        771.429 cents     771.428570
 19:        814.286 cents     814.285710
 20:        857.143 cents     857.142860
 21:        900.000 cents     900.000000
 22:        942.857 cents     942.857140
 23:        985.714 cents     985.714290
 24:       1028.571 cents    1028.571430
 25:       1071.429 cents    1071.428570
 26:       1114.286 cents    1114.285710
 27:       1157.143 cents    1157.142860
 28:          2/1            1200.000000 octave
|
ED2-29 - Equal division of harmonic 2 into 29 parts
|
  0:          1/1               0.000000 unison, perfect prime
  1:         41.379 cents      41.379310
  2:         82.759 cents      82.758620
  3:        124.138 cents     124.137930
  4:        165.517 cents     165.517240
  5:        206.897 cents     206.896550
  6:        248.276 cents     248.275860
  7:        289.655 cents     289.655170
  8:        331.034 cents     331.034480
  9:        372.414 cents     372.413790
 10:        413.793 cents     413.793100
 11:        455.172 cents     455.172410
 12:        496.552 cents     496.551720
 13:        537.931 cents     537.931030
 14:        579.310 cents     579.310340
 15:        620.690 cents     620.689660
 16:        662.069 cents     662.068970
 17:        703.448 cents     703.448280
 18:        744.828 cents     744.827590
 19:        786.207 cents     786.206900
 20:        827.586 cents     827.586210
 21:        868.966 cents     868.965520
 22:        910.345 cents     910.344830
 23:        951.724 cents     951.724140
 24:        993.103 cents     993.103450
 25:       1034.483 cents    1034.482760
 26:       1075.862 cents    1075.862070
 27:       1117.241 cents    1117.241380
 28:       1158.621 cents    1158.620690
 29:          2/1            1200.000000 octave
|
ED2-30 - Equal division of harmonic 2 into 30 parts
|
  0:          1/1               0.000000 unison, perfect prime
  1:         40.000 cents      40.000000
  2:         80.000 cents      80.000000
  3:        120.000 cents     120.000000
  4:        160.000 cents     160.000000
  5:        200.000 cents     200.000000
  6:        240.000 cents     240.000000
  7:        280.000 cents     280.000000
  8:        320.000 cents     320.000000
  9:        360.000 cents     360.000000
 10:        400.000 cents     400.000000
 11:        440.000 cents     440.000000
 12:        480.000 cents     480.000000
 13:        520.000 cents     520.000000
 14:        560.000 cents     560.000000
 15:        600.000 cents     600.000000
 16:        640.000 cents     640.000000
 17:        680.000 cents     680.000000
 18:        720.000 cents     720.000000
 19:        760.000 cents     760.000000
 20:        800.000 cents     800.000000
 21:        840.000 cents     840.000000
 22:        880.000 cents     880.000000
 23:        920.000 cents     920.000000
 24:        960.000 cents     960.000000
 25:       1000.000 cents    1000.000000
 26:       1040.000 cents    1040.000000
 27:       1080.000 cents    1080.000000
 28:       1120.000 cents    1120.000000
 29:       1160.000 cents    1160.000000
 30:          2/1            1200.000000 octave
|
ED2-31 - Equal division of harmonic 2 into 31 parts
|
  0:          1/1               0.000000 unison, perfect prime
  1:         38.710 cents      38.709680
  2:         77.419 cents      77.419350
  3:        116.129 cents     116.129030
  4:        154.839 cents     154.838710
  5:        193.548 cents     193.548390
  6:        232.258 cents     232.258060
  7:        270.968 cents     270.967740
  8:        309.677 cents     309.677420
  9:        348.387 cents     348.387100
 10:        387.097 cents     387.096770
 11:        425.806 cents     425.806450
 12:        464.516 cents     464.516130
 13:        503.226 cents     503.225810
 14:        541.935 cents     541.935480
 15:        580.645 cents     580.645160
 16:        619.355 cents     619.354840
 17:        658.065 cents     658.064520
 18:        696.774 cents     696.774190
 19:        735.484 cents     735.483870
 20:        774.194 cents     774.193550
 21:        812.903 cents     812.903230
 22:        851.613 cents     851.612900
 23:        890.323 cents     890.322580
 24:        929.032 cents     929.032260
 25:        967.742 cents     967.741940
 26:       1006.452 cents    1006.451610
 27:       1045.161 cents    1045.161290
 28:       1083.871 cents    1083.870970
 29:       1122.581 cents    1122.580650
 30:       1161.290 cents    1161.290320
 31:          2/1            1200.000000 octave
|
ED3-07 - Equal division of harmonic 3 into 7 parts
|
  0:          1/1               0.000000 unison, perfect prime
  1:        271.708 cents     271.707860
  2:        543.416 cents     543.415710
  3:        815.124 cents     815.123570
  4:       1086.831 cents    1086.831430
  5:       1358.539 cents    1358.539290
  6:       1630.247 cents    1630.247140
  7:          3/1            1901.955001 perfect 12th
|
ED3-08 - Equal division of harmonic 3 into 8 parts
|
  0:          1/1               0.000000 unison, perfect prime
  1:        237.744 cents     237.744380
  2:        475.489 cents     475.488750
  3:        713.233 cents     713.233130
  4:        950.977 cents     950.977500
  5:       1188.722 cents    1188.721880
  6:       1426.466 cents    1426.466250
  7:       1664.211 cents    1664.210630
  8:          3/1            1901.955001 perfect 12th
|
ED3-09 - Equal division of harmonic 3 into 9 parts
|
  0:          1/1               0.000000 unison, perfect prime
  1:        211.328 cents     211.328330
  2:        422.657 cents     422.656670
  3:        633.985 cents     633.985000
  4:        845.313 cents     845.313330
  5:       1056.642 cents    1056.641670
  6:       1267.970 cents    1267.970000
  7:       1479.298 cents    1479.298330
  8:       1690.627 cents    1690.626670
  9:          3/1            1901.955001 perfect 12th
|
ED3-10 - Equal division of harmonic 3 into 10 parts
|
  0:          1/1               0.000000 unison, perfect prime
  1:        190.195 cents     190.195500
  2:        380.391 cents     380.391000
  3:        570.587 cents     570.586500
  4:        760.782 cents     760.782000
  5:        950.977 cents     950.977500
  6:       1141.173 cents    1141.173000
  7:       1331.368 cents    1331.368500
  8:       1521.564 cents    1521.564000
  9:       1711.759 cents    1711.759500
 10:          3/1            1901.955001 perfect 12th
|
ED3-11 - Equal division of harmonic 3 into 11 parts
|
  0:          1/1               0.000000 unison, perfect prime
  1:        172.905 cents     172.905000
  2:        345.810 cents     345.810000
  3:        518.715 cents     518.715000
  4:        691.620 cents     691.620000
  5:        864.525 cents     864.525000
  6:       1037.430 cents    1037.430000
  7:       1210.335 cents    1210.335000
  8:       1383.240 cents    1383.240000
  9:       1556.145 cents    1556.145000
 10:       1729.050 cents    1729.050000
 11:          3/1            1901.955001 perfect 12th
|
ED3-12 - Equal division of harmonic 3 into 12 parts
|
  0:          1/1               0.000000 unison, perfect prime
  1:        158.496 cents     158.496250
  2:        316.993 cents     316.992500
  3:        475.489 cents     475.488750
  4:        633.985 cents     633.985000
  5:        792.481 cents     792.481250
  6:        950.977 cents     950.977500
  7:       1109.474 cents    1109.473750
  8:       1267.970 cents    1267.970000
  9:       1426.466 cents    1426.466250
 10:       1584.963 cents    1584.962500
 11:       1743.459 cents    1743.458750
 12:          3/1            1901.955001 perfect 12th
|
ED3-13 - Equal division of harmonic 3 into 13 parts
|
  0:          1/1               0.000000 unison, perfect prime
  1:        146.304 cents     146.304230
  2:        292.608 cents     292.608460
  3:        438.913 cents     438.912690
  4:        585.217 cents     585.216920
  5:        731.521 cents     731.521150
  6:        877.825 cents     877.825390
  7:       1024.130 cents    1024.129620
  8:       1170.434 cents    1170.433850
  9:       1316.738 cents    1316.738080
 10:       1463.042 cents    1463.042310
 11:       1609.347 cents    1609.346540
 12:       1755.651 cents    1755.650770
 13:          3/1            1901.955001 perfect 12th
|
ED3-14 - Equal division of harmonic 3 into 14 parts
|
  0:          1/1               0.000000 unison, perfect prime
  1:        135.854 cents     135.853930
  2:        271.708 cents     271.707860
  3:        407.562 cents     407.561790
  4:        543.416 cents     543.415710
  5:        679.270 cents     679.269640
  6:        815.124 cents     815.123570
  7:        950.977 cents     950.977500
  8:       1086.831 cents    1086.831430
  9:       1222.685 cents    1222.685360
 10:       1358.539 cents    1358.539290
 11:       1494.393 cents    1494.393210
 12:       1630.247 cents    1630.247140
 13:       1766.101 cents    1766.101070
 14:          3/1            1901.955001 perfect 12th
|
ED3-15 - Equal division of harmonic 3 into 15 parts
|
  0:          1/1               0.000000 unison, perfect prime
  1:        126.797 cents     126.797000
  2:        253.594 cents     253.594000
  3:        380.391 cents     380.391000
  4:        507.188 cents     507.188000
  5:        633.985 cents     633.985000
  6:        760.782 cents     760.782000
  7:        887.579 cents     887.579000
  8:       1014.376 cents    1014.376000
  9:       1141.173 cents    1141.173000
 10:       1267.970 cents    1267.970000
 11:       1394.767 cents    1394.767000
 12:       1521.564 cents    1521.564000
 13:       1648.361 cents    1648.361000
 14:       1775.158 cents    1775.158000
 15:          3/1            1901.955001 perfect 12th
|
ED3-16 - Equal division of harmonic 3 into 16 parts
|
  0:          1/1               0.000000 unison, perfect prime
  1:        118.872 cents     118.872190
  2:        237.744 cents     237.744380
  3:        356.617 cents     356.616560
  4:        475.489 cents     475.488750
  5:        594.361 cents     594.360940
  6:        713.233 cents     713.233130
  7:        832.105 cents     832.105310
  8:        950.977 cents     950.977500
  9:       1069.850 cents    1069.849690
 10:       1188.722 cents    1188.721880
 11:       1307.594 cents    1307.594060
 12:       1426.466 cents    1426.466250
 13:       1545.338 cents    1545.338440
 14:       1664.211 cents    1664.210630
 15:       1783.083 cents    1783.082810
 16:          3/1            1901.955001 perfect 12th
|
ED3-17 - Equal division of harmonic 3 into 17 parts
|
  0:          1/1               0.000000 unison, perfect prime
  1:        111.880 cents     111.879710
  2:        223.759 cents     223.759410
  3:        335.639 cents     335.639120
  4:        447.519 cents     447.518820
  5:        559.399 cents     559.398530
  6:        671.278 cents     671.278240
  7:        783.158 cents     783.157940
  8:        895.038 cents     895.037650
  9:       1006.917 cents    1006.917350
 10:       1118.797 cents    1118.797060
 11:       1230.677 cents    1230.676770
 12:       1342.556 cents    1342.556470
 13:       1454.436 cents    1454.436180
 14:       1566.316 cents    1566.315880
 15:       1678.196 cents    1678.195590
 16:       1790.075 cents    1790.075290
 17:          3/1            1901.955001 perfect 12th
|
ED3-18 - Equal division of harmonic 3 into 18 parts
|
  0:          1/1               0.000000 unison, perfect prime
  1:        105.664 cents     105.664170
  2:        211.328 cents     211.328330
  3:        316.993 cents     316.992500
  4:        422.657 cents     422.656670
  5:        528.321 cents     528.320830
  6:        633.985 cents     633.985000
  7:        739.649 cents     739.649170
  8:        845.313 cents     845.313330
  9:        950.977 cents     950.977500
 10:       1056.642 cents    1056.641670
 11:       1162.306 cents    1162.305830
 12:       1267.970 cents    1267.970000
 13:       1373.634 cents    1373.634170
 14:       1479.298 cents    1479.298330
 15:       1584.963 cents    1584.962500
 16:       1690.627 cents    1690.626670
 17:       1796.291 cents    1796.290830
 18:          3/1            1901.955001 perfect 12th
|
ED3-19 - Equal division of harmonic 3 into 19 parts
|
  0:          1/1               0.000000 unison, perfect prime
  1:        100.103 cents     100.102890
  2:        200.206 cents     200.205790
  3:        300.309 cents     300.308680
  4:        400.412 cents     400.411580
  5:        500.514 cents     500.514470
  6:        600.617 cents     600.617370
  7:        700.720 cents     700.720260
  8:        800.823 cents     800.823160
  9:        900.926 cents     900.926050
 10:       1001.029 cents    1001.028950
 11:       1101.132 cents    1101.131840
 12:       1201.235 cents    1201.234740
 13:       1301.338 cents    1301.337630
 14:       1401.441 cents    1401.440530
 15:       1501.543 cents    1501.543420
 16:       1601.646 cents    1601.646320
 17:       1701.749 cents    1701.749210
 18:       1801.852 cents    1801.852110
 19:          3/1            1901.955001 perfect 12th
|
ED3-20 - Equal division of harmonic 3 into 20 parts
|
  0:          1/1               0.000000 unison, perfect prime
  1:         95.098 cents      95.097750
  2:        190.195 cents     190.195500
  3:        285.293 cents     285.293250
  4:        380.391 cents     380.391000
  5:        475.489 cents     475.488750
  6:        570.587 cents     570.586500
  7:        665.684 cents     665.684250
  8:        760.782 cents     760.782000
  9:        855.880 cents     855.879750
 10:        950.977 cents     950.977500
 11:       1046.075 cents    1046.075250
 12:       1141.173 cents    1141.173000
 13:       1236.271 cents    1236.270750
 14:       1331.368 cents    1331.368500
 15:       1426.466 cents    1426.466250
 16:       1521.564 cents    1521.564000
 17:       1616.662 cents    1616.661750
 18:       1711.759 cents    1711.759500
 19:       1806.857 cents    1806.857250
 20:          3/1            1901.955001 perfect 12th
|
ED3-21 - Equal division of harmonic 3 into 21 parts
|
  0:          1/1               0.000000 unison, perfect prime
  1:         90.569 cents      90.569290
  2:        181.139 cents     181.138570
  3:        271.708 cents     271.707860
  4:        362.277 cents     362.277140
  5:        452.846 cents     452.846430
  6:        543.416 cents     543.415710
  7:        633.985 cents     633.985000
  8:        724.554 cents     724.554290
  9:        815.124 cents     815.123570
 10:        905.693 cents     905.692860
 11:        996.262 cents     996.262140
 12:       1086.831 cents    1086.831430
 13:       1177.401 cents    1177.400710
 14:       1267.970 cents    1267.970000
 15:       1358.539 cents    1358.539290
 16:       1449.109 cents    1449.108570
 17:       1539.678 cents    1539.677860
 18:       1630.247 cents    1630.247140
 19:       1720.816 cents    1720.816430
 20:       1811.386 cents    1811.385720
 21:          3/1            1901.955001 perfect 12th
|
ED3-22 - Equal division of harmonic 3 into 22 parts
|
  0:          1/1               0.000000 unison, perfect prime
  1:         86.453 cents      86.452500
  2:        172.905 cents     172.905000
  3:        259.358 cents     259.357500
  4:        345.810 cents     345.810000
  5:        432.262 cents     432.262500
  6:        518.715 cents     518.715000
  7:        605.168 cents     605.167500
  8:        691.620 cents     691.620000
  9:        778.072 cents     778.072500
 10:        864.525 cents     864.525000
 11:        950.977 cents     950.977500
 12:       1037.430 cents    1037.430000
 13:       1123.882 cents    1123.882500
 14:       1210.335 cents    1210.335000
 15:       1296.787 cents    1296.787500
 16:       1383.240 cents    1383.240000
 17:       1469.693 cents    1469.692500
 18:       1556.145 cents    1556.145000
 19:       1642.598 cents    1642.597500
 20:       1729.050 cents    1729.050000
 21:       1815.503 cents    1815.502500
 22:          3/1            1901.955001 perfect 12th
|
ED3-23 - Equal division of harmonic 3 into 23 parts
|
  0:          1/1               0.000000 unison, perfect prime
  1:         82.694 cents      82.693700
  2:        165.387 cents     165.387390
  3:        248.081 cents     248.081090
  4:        330.775 cents     330.774780
  5:        413.468 cents     413.468480
  6:        496.162 cents     496.162170
  7:        578.856 cents     578.855870
  8:        661.550 cents     661.549570
  9:        744.243 cents     744.243260
 10:        826.937 cents     826.936960
 11:        909.631 cents     909.630650
 12:        992.324 cents     992.324350
 13:       1075.018 cents    1075.018040
 14:       1157.712 cents    1157.711740
 15:       1240.405 cents    1240.405440
 16:       1323.099 cents    1323.099130
 17:       1405.793 cents    1405.792830
 18:       1488.487 cents    1488.486520
 19:       1571.180 cents    1571.180220
 20:       1653.874 cents    1653.873910
 21:       1736.568 cents    1736.567610
 22:       1819.261 cents    1819.261310
 23:          3/1            1901.955001 perfect 12th
|
ED3-24 - Equal division of harmonic 3 into 24 parts
|
  0:          1/1               0.000000 unison, perfect prime
  1:         79.248 cents      79.248130
  2:        158.496 cents     158.496250
  3:        237.744 cents     237.744380
  4:        316.993 cents     316.992500
  5:        396.241 cents     396.240630
  6:        475.489 cents     475.488750
  7:        554.737 cents     554.736880
  8:        633.985 cents     633.985000
  9:        713.233 cents     713.233130
 10:        792.481 cents     792.481250
 11:        871.729 cents     871.729380
 12:        950.977 cents     950.977500
 13:       1030.226 cents    1030.225630
 14:       1109.474 cents    1109.473750
 15:       1188.722 cents    1188.721880
 16:       1267.970 cents    1267.970000
 17:       1347.218 cents    1347.218130
 18:       1426.466 cents    1426.466250
 19:       1505.714 cents    1505.714380
 20:       1584.963 cents    1584.962500
 21:       1664.211 cents    1664.210630
 22:       1743.459 cents    1743.458750
 23:       1822.707 cents    1822.706880
 24:          3/1            1901.955001 perfect 12th
|
ED3-25 - Equal division of harmonic 3 into 25 parts
|
  0:          1/1               0.000000 unison, perfect prime
  1:         76.078 cents      76.078200
  2:        152.156 cents     152.156400
  3:        228.235 cents     228.234600
  4:        304.313 cents     304.312800
  5:        380.391 cents     380.391000
  6:        456.469 cents     456.469200
  7:        532.547 cents     532.547400
  8:        608.626 cents     608.625600
  9:        684.704 cents     684.703800
 10:        760.782 cents     760.782000
 11:        836.860 cents     836.860200
 12:        912.938 cents     912.938400
 13:        989.017 cents     989.016600
 14:       1065.095 cents    1065.094800
 15:       1141.173 cents    1141.173000
 16:       1217.251 cents    1217.251200
 17:       1293.329 cents    1293.329400
 18:       1369.408 cents    1369.407600
 19:       1445.486 cents    1445.485800
 20:       1521.564 cents    1521.564000
 21:       1597.642 cents    1597.642200
 22:       1673.720 cents    1673.720400
 23:       1749.799 cents    1749.798600
 24:       1825.877 cents    1825.876800
 25:          3/1            1901.955001 perfect 12th
|
ED3-26 - Equal division of harmonic 3 into 26 parts
|
  0:          1/1               0.000000 unison, perfect prime
  1:         73.152 cents      73.152120
  2:        146.304 cents     146.304230
  3:        219.456 cents     219.456350
  4:        292.608 cents     292.608460
  5:        365.761 cents     365.760580
  6:        438.913 cents     438.912690
  7:        512.065 cents     512.064810
  8:        585.217 cents     585.216920
  9:        658.369 cents     658.369040
 10:        731.521 cents     731.521150
 11:        804.673 cents     804.673270
 12:        877.825 cents     877.825390
 13:        950.977 cents     950.977500
 14:       1024.130 cents    1024.129620
 15:       1097.282 cents    1097.281730
 16:       1170.434 cents    1170.433850
 17:       1243.586 cents    1243.585960
 18:       1316.738 cents    1316.738080
 19:       1389.890 cents    1389.890190
 20:       1463.042 cents    1463.042310
 21:       1536.194 cents    1536.194420
 22:       1609.347 cents    1609.346540
 23:       1682.499 cents    1682.498650
 24:       1755.651 cents    1755.650770
 25:       1828.803 cents    1828.802890
 26:          3/1            1901.955001 perfect 12th
|
ED3-27 - Equal division of harmonic 3 into 27 parts
|
  0:          1/1               0.000000 unison, perfect prime
  1:         70.443 cents      70.442780
  2:        140.886 cents     140.885560
  3:        211.328 cents     211.328330
  4:        281.771 cents     281.771110
  5:        352.214 cents     352.213890
  6:        422.657 cents     422.656670
  7:        493.099 cents     493.099440
  8:        563.542 cents     563.542220
  9:        633.985 cents     633.985000
 10:        704.428 cents     704.427780
 11:        774.871 cents     774.870560
 12:        845.313 cents     845.313330
 13:        915.756 cents     915.756110
 14:        986.199 cents     986.198890
 15:       1056.642 cents    1056.641670
 16:       1127.084 cents    1127.084440
 17:       1197.527 cents    1197.527220
 18:       1267.970 cents    1267.970000
 19:       1338.413 cents    1338.412780
 20:       1408.856 cents    1408.855560
 21:       1479.298 cents    1479.298330
 22:       1549.741 cents    1549.741110
 23:       1620.184 cents    1620.183890
 24:       1690.627 cents    1690.626670
 25:       1761.069 cents    1761.069450
 26:       1831.512 cents    1831.512220
 27:          3/1            1901.955001 perfect 12th
|
ED4-09 - Equal division of harmonic 4 into 9 parts
|
  0:          1/1               0.000000 unison, perfect prime
  1:        266.667 cents     266.666670
  2:        533.333 cents     533.333330
  3:        800.000 cents     800.000000
  4:       1066.667 cents    1066.666670
  5:       1333.333 cents    1333.333330
  6:       1600.000 cents    1600.000000
  7:       1866.667 cents    1866.666670
  8:       2133.333 cents    2133.333330
  9:          4/1            2400.000000 2 octaves
|
ED4-11 - Equal division of harmonic 4 into 11 parts
|
  0:          1/1               0.000000 unison, perfect prime
  1:        218.182 cents     218.181820
  2:        436.364 cents     436.363640
  3:        654.545 cents     654.545450
  4:        872.727 cents     872.727270
  5:       1090.909 cents    1090.909090
  6:       1309.091 cents    1309.090910
  7:       1527.273 cents    1527.272730
  8:       1745.455 cents    1745.454550
  9:       1963.636 cents    1963.636360
 10:       2181.818 cents    2181.818180
 11:          4/1            2400.000000 2 octaves
|
ED4-13 - Equal division of harmonic 4 into 13 parts
|
  0:          1/1               0.000000 unison, perfect prime
  1:        184.615 cents     184.615380
  2:        369.231 cents     369.230770
  3:        553.846 cents     553.846150
  4:        738.462 cents     738.461540
  5:        923.077 cents     923.076920
  6:       1107.692 cents    1107.692310
  7:       1292.308 cents    1292.307690
  8:       1476.923 cents    1476.923080
  9:       1661.538 cents    1661.538460
 10:       1846.154 cents    1846.153850
 11:       2030.769 cents    2030.769230
 12:       2215.385 cents    2215.384620
 13:          4/1            2400.000000 2 octaves
|
ED4-15 - Equal division of harmonic 4 into 15 parts
|
  0:          1/1               0.000000 unison, perfect prime
  1:        160.000 cents     160.000000
  2:        320.000 cents     320.000000
  3:        480.000 cents     480.000000
  4:        640.000 cents     640.000000
  5:        800.000 cents     800.000000
  6:        960.000 cents     960.000000
  7:       1120.000 cents    1120.000000
  8:       1280.000 cents    1280.000000
  9:       1440.000 cents    1440.000000
 10:       1600.000 cents    1600.000000
 11:       1760.000 cents    1760.000000
 12:       1920.000 cents    1920.000000
 13:       2080.000 cents    2080.000000
 14:       2240.000 cents    2240.000000
 15:          4/1            2400.000000 2 octaves
|
ED4-17 - Equal division of harmonic 4 into 17 parts
|
  0:          1/1               0.000000 unison, perfect prime
  1:        141.176 cents     141.176470
  2:        282.353 cents     282.352940
  3:        423.529 cents     423.529410
  4:        564.706 cents     564.705880
  5:        705.882 cents     705.882350
  6:        847.059 cents     847.058820
  7:        988.235 cents     988.235290
  8:       1129.412 cents    1129.411760
  9:       1270.588 cents    1270.588240
 10:       1411.765 cents    1411.764710
 11:       1552.941 cents    1552.941180
 12:       1694.118 cents    1694.117650
 13:       1835.294 cents    1835.294120
 14:       1976.471 cents    1976.470590
 15:       2117.647 cents    2117.647060
 16:       2258.824 cents    2258.823530
 17:          4/1            2400.000000 2 octaves
|
ED4-19 - Equal division of harmonic 4 into 19 parts
|
  0:          1/1               0.000000 unison, perfect prime
  1:        126.316 cents     126.315790
  2:        252.632 cents     252.631580
  3:        378.947 cents     378.947370
  4:        505.263 cents     505.263160
  5:        631.579 cents     631.578950
  6:        757.895 cents     757.894740
  7:        884.211 cents     884.210530
  8:       1010.526 cents    1010.526320
  9:       1136.842 cents    1136.842110
 10:       1263.158 cents    1263.157890
 11:       1389.474 cents    1389.473680
 12:       1515.789 cents    1515.789470
 13:       1642.105 cents    1642.105260
 14:       1768.421 cents    1768.421050
 15:       1894.737 cents    1894.736840
 16:       2021.053 cents    2021.052630
 17:       2147.368 cents    2147.368420
 18:       2273.684 cents    2273.684210
 19:          4/1            2400.000000 2 octaves
|
ED4-21 - Equal division of harmonic 4 into 21 parts
|
  0:          1/1               0.000000 unison, perfect prime
  1:        114.286 cents     114.285710
  2:        228.571 cents     228.571430
  3:        342.857 cents     342.857140
  4:        457.143 cents     457.142860
  5:        571.429 cents     571.428570
  6:        685.714 cents     685.714290
  7:        800.000 cents     800.000000
  8:        914.286 cents     914.285710
  9:       1028.571 cents    1028.571430
 10:       1142.857 cents    1142.857140
 11:       1257.143 cents    1257.142860
 12:       1371.429 cents    1371.428570
 13:       1485.714 cents    1485.714290
 14:       1600.000 cents    1600.000000
 15:       1714.286 cents    1714.285710
 16:       1828.571 cents    1828.571430
 17:       1942.857 cents    1942.857140
 18:       2057.143 cents    2057.142860
 19:       2171.429 cents    2171.428570
 20:       2285.714 cents    2285.714290
 21:          4/1            2400.000000 2 octaves
|
ED4-23 - Equal division of harmonic 4 into 23 parts
|
  0:          1/1               0.000000 unison, perfect prime
  1:        104.348 cents     104.347830
  2:        208.696 cents     208.695650
  3:        313.043 cents     313.043480
  4:        417.391 cents     417.391300
  5:        521.739 cents     521.739130
  6:        626.087 cents     626.086960
  7:        730.435 cents     730.434780
  8:        834.783 cents     834.782610
  9:        939.130 cents     939.130430
 10:       1043.478 cents    1043.478260
 11:       1147.826 cents    1147.826090
 12:       1252.174 cents    1252.173910
 13:       1356.522 cents    1356.521740
 14:       1460.870 cents    1460.869570
 15:       1565.217 cents    1565.217390
 16:       1669.565 cents    1669.565220
 17:       1773.913 cents    1773.913040
 18:       1878.261 cents    1878.260870
 19:       1982.609 cents    1982.608700
 20:       2086.957 cents    2086.956520
 21:       2191.304 cents    2191.304350
 22:       2295.652 cents    2295.652170
 23:          4/1            2400.000000 2 octaves
|
ED4-25 - Equal division of harmonic 4 into 25 parts
|
  0:          1/1               0.000000 unison, perfect prime
  1:         96.000 cents      96.000000
  2:        192.000 cents     192.000000
  3:        288.000 cents     288.000000
  4:        384.000 cents     384.000000
  5:        480.000 cents     480.000000
  6:        576.000 cents     576.000000
  7:        672.000 cents     672.000000
  8:        768.000 cents     768.000000
  9:        864.000 cents     864.000000
 10:        960.000 cents     960.000000
 11:       1056.000 cents    1056.000000
 12:       1152.000 cents    1152.000000
 13:       1248.000 cents    1248.000000
 14:       1344.000 cents    1344.000000
 15:       1440.000 cents    1440.000000
 16:       1536.000 cents    1536.000000
 17:       1632.000 cents    1632.000000
 18:       1728.000 cents    1728.000000
 19:       1824.000 cents    1824.000000
 20:       1920.000 cents    1920.000000
 21:       2016.000 cents    2016.000000
 22:       2112.000 cents    2112.000000
 23:       2208.000 cents    2208.000000
 24:       2304.000 cents    2304.000000
 25:          4/1            2400.000000 2 octaves
|
ED4-27 - Equal division of harmonic 4 into 27 parts
|
  0:          1/1               0.000000 unison, perfect prime
  1:         88.889 cents      88.888890
  2:        177.778 cents     177.777780
  3:        266.667 cents     266.666670
  4:        355.556 cents     355.555560
  5:        444.444 cents     444.444440
  6:        533.333 cents     533.333330
  7:        622.222 cents     622.222220
  8:        711.111 cents     711.111110
  9:        800.000 cents     800.000000
 10:        888.889 cents     888.888890
 11:        977.778 cents     977.777780
 12:       1066.667 cents    1066.666670
 13:       1155.556 cents    1155.555560
 14:       1244.444 cents    1244.444440
 15:       1333.333 cents    1333.333330
 16:       1422.222 cents    1422.222220
 17:       1511.111 cents    1511.111110
 18:       1600.000 cents    1600.000000
 19:       1688.889 cents    1688.888890
 20:       1777.778 cents    1777.777780
 21:       1866.667 cents    1866.666670
 22:       1955.556 cents    1955.555560
 23:       2044.444 cents    2044.444440
 24:       2133.333 cents    2133.333330
 25:       2222.222 cents    2222.222220
 26:       2311.111 cents    2311.111110
 27:          4/1            2400.000000 2 octaves
|
ED4-29 - Equal division of harmonic 4 into 29 parts
|
  0:          1/1               0.000000 unison, perfect prime
  1:         82.759 cents      82.758620
  2:        165.517 cents     165.517240
  3:        248.276 cents     248.275860
  4:        331.034 cents     331.034480
  5:        413.793 cents     413.793100
  6:        496.552 cents     496.551720
  7:        579.310 cents     579.310340
  8:        662.069 cents     662.068970
  9:        744.828 cents     744.827590
 10:        827.586 cents     827.586210
 11:        910.345 cents     910.344830
 12:        993.103 cents     993.103450
 13:       1075.862 cents    1075.862070
 14:       1158.621 cents    1158.620690
 15:       1241.379 cents    1241.379310
 16:       1324.138 cents    1324.137930
 17:       1406.897 cents    1406.896550
 18:       1489.655 cents    1489.655170
 19:       1572.414 cents    1572.413790
 20:       1655.172 cents    1655.172410
 21:       1737.931 cents    1737.931030
 22:       1820.690 cents    1820.689660
 23:       1903.448 cents    1903.448280
 24:       1986.207 cents    1986.206900
 25:       2068.966 cents    2068.965520
 26:       2151.724 cents    2151.724140
 27:       2234.483 cents    2234.482760
 28:       2317.241 cents    2317.241380
 29:          4/1            2400.000000 2 octaves
|
ED4-31 - Equal division of harmonic 4 into 31 parts
|
  0:          1/1               0.000000 unison, perfect prime
  1:         77.419 cents      77.419350
  2:        154.839 cents     154.838710
  3:        232.258 cents     232.258060
  4:        309.677 cents     309.677420
  5:        387.097 cents     387.096770
  6:        464.516 cents     464.516130
  7:        541.935 cents     541.935480
  8:        619.355 cents     619.354840
  9:        696.774 cents     696.774190
 10:        774.194 cents     774.193550
 11:        851.613 cents     851.612900
 12:        929.032 cents     929.032260
 13:       1006.452 cents    1006.451610
 14:       1083.871 cents    1083.870970
 15:       1161.290 cents    1161.290320
 16:       1238.710 cents    1238.709680
 17:       1316.129 cents    1316.129030
 18:       1393.548 cents    1393.548390
 19:       1470.968 cents    1470.967740
 20:       1548.387 cents    1548.387100
 21:       1625.806 cents    1625.806450
 22:       1703.226 cents    1703.225810
 23:       1780.645 cents    1780.645160
 24:       1858.065 cents    1858.064520
 25:       1935.484 cents    1935.483870
 26:       2012.903 cents    2012.903230
 27:       2090.323 cents    2090.322580
 28:       2167.742 cents    2167.741940
 29:       2245.161 cents    2245.161290
 30:       2322.581 cents    2322.580650
 31:          4/1            2400.000000 2 octaves
|
ED4-33 - Equal division of harmonic 4 into 33 parts
|
  0:          1/1               0.000000 unison, perfect prime
  1:         72.727 cents      72.727270
  2:        145.455 cents     145.454550
  3:        218.182 cents     218.181820
  4:        290.909 cents     290.909090
  5:        363.636 cents     363.636360
  6:        436.364 cents     436.363640
  7:        509.091 cents     509.090910
  8:        581.818 cents     581.818180
  9:        654.545 cents     654.545450
 10:        727.273 cents     727.272730
 11:        800.000 cents     800.000000
 12:        872.727 cents     872.727270
 13:        945.455 cents     945.454550
 14:       1018.182 cents    1018.181820
 15:       1090.909 cents    1090.909090
 16:       1163.636 cents    1163.636360
 17:       1236.364 cents    1236.363640
 18:       1309.091 cents    1309.090910
 19:       1381.818 cents    1381.818180
 20:       1454.545 cents    1454.545450
 21:       1527.273 cents    1527.272730
 22:       1600.000 cents    1600.000000
 23:       1672.727 cents    1672.727270
 24:       1745.455 cents    1745.454550
 25:       1818.182 cents    1818.181820
 26:       1890.909 cents    1890.909090
 27:       1963.636 cents    1963.636360
 28:       2036.364 cents    2036.363640
 29:       2109.091 cents    2109.090910
 30:       2181.818 cents    2181.818180
 31:       2254.545 cents    2254.545450
 32:       2327.273 cents    2327.272730
 33:          4/1            2400.000000 2 octaves
|
ED4-35 - Equal division of harmonic 4 into 35 parts
|
  0:          1/1               0.000000 unison, perfect prime
  1:         68.571 cents      68.571430
  2:        137.143 cents     137.142860
  3:        205.714 cents     205.714290
  4:        274.286 cents     274.285710
  5:        342.857 cents     342.857140
  6:        411.429 cents     411.428570
  7:        480.000 cents     480.000000
  8:        548.571 cents     548.571430
  9:        617.143 cents     617.142860
 10:        685.714 cents     685.714290
 11:        754.286 cents     754.285710
 12:        822.857 cents     822.857140
 13:        891.429 cents     891.428570
 14:        960.000 cents     960.000000
 15:       1028.571 cents    1028.571430
 16:       1097.143 cents    1097.142860
 17:       1165.714 cents    1165.714290
 18:       1234.286 cents    1234.285710
 19:       1302.857 cents    1302.857140
 20:       1371.429 cents    1371.428570
 21:       1440.000 cents    1440.000000
 22:       1508.571 cents    1508.571430
 23:       1577.143 cents    1577.142860
 24:       1645.714 cents    1645.714290
 25:       1714.286 cents    1714.285710
 26:       1782.857 cents    1782.857140
 27:       1851.429 cents    1851.428570
 28:       1920.000 cents    1920.000000
 29:       1988.571 cents    1988.571430
 30:       2057.143 cents    2057.142860
 31:       2125.714 cents    2125.714290
 32:       2194.286 cents    2194.285710
 33:       2262.857 cents    2262.857140
 34:       2331.429 cents    2331.428570
 35:          4/1            2400.000000 2 octaves
|
ED4-37 - Equal division of harmonic 4 into 37 parts
|
  0:          1/1               0.000000 unison, perfect prime
  1:         64.865 cents      64.864860
  2:        129.730 cents     129.729730
  3:        194.595 cents     194.594590
  4:        259.459 cents     259.459460
  5:        324.324 cents     324.324320
  6:        389.189 cents     389.189190
  7:        454.054 cents     454.054050
  8:        518.919 cents     518.918920
  9:        583.784 cents     583.783780
 10:        648.649 cents     648.648650
 11:        713.514 cents     713.513510
 12:        778.378 cents     778.378380
 13:        843.243 cents     843.243240
 14:        908.108 cents     908.108110
 15:        972.973 cents     972.972970
 16:       1037.838 cents    1037.837840
 17:       1102.703 cents    1102.702700
 18:       1167.568 cents    1167.567570
 19:       1232.432 cents    1232.432430
 20:       1297.297 cents    1297.297300
 21:       1362.162 cents    1362.162160
 22:       1427.027 cents    1427.027030
 23:       1491.892 cents    1491.891890
 24:       1556.757 cents    1556.756760
 25:       1621.622 cents    1621.621620
 26:       1686.486 cents    1686.486490
 27:       1751.351 cents    1751.351350
 28:       1816.216 cents    1816.216220
 29:       1881.081 cents    1881.081080
 30:       1945.946 cents    1945.945950
 31:       2010.811 cents    2010.810810
 32:       2075.676 cents    2075.675680
 33:       2140.541 cents    2140.540540
 34:       2205.405 cents    2205.405410
 35:       2270.270 cents    2270.270270
 36:       2335.135 cents    2335.135140
 37:          4/1            2400.000000 2 octaves
|
ED4-39 - Equal division of harmonic 4 into 39 parts
|
  0:          1/1               0.000000 unison, perfect prime
  1:         61.538 cents      61.538460
  2:        123.077 cents     123.076920
  3:        184.615 cents     184.615380
  4:        246.154 cents     246.153850
  5:        307.692 cents     307.692310
  6:        369.231 cents     369.230770
  7:        430.769 cents     430.769230
  8:        492.308 cents     492.307690
  9:        553.846 cents     553.846150
 10:        615.385 cents     615.384620
 11:        676.923 cents     676.923080
 12:        738.462 cents     738.461540
 13:        800.000 cents     800.000000
 14:        861.538 cents     861.538460
 15:        923.077 cents     923.076920
 16:        984.615 cents     984.615380
 17:       1046.154 cents    1046.153850
 18:       1107.692 cents    1107.692310
 19:       1169.231 cents    1169.230770
 20:       1230.769 cents    1230.769230
 21:       1292.308 cents    1292.307690
 22:       1353.846 cents    1353.846150
 23:       1415.385 cents    1415.384620
 24:       1476.923 cents    1476.923080
 25:       1538.462 cents    1538.461540
 26:       1600.000 cents    1600.000000
 27:       1661.538 cents    1661.538460
 28:       1723.077 cents    1723.076920
 29:       1784.615 cents    1784.615380
 30:       1846.154 cents    1846.153850
 31:       1907.692 cents    1907.692310
 32:       1969.231 cents    1969.230770
 33:       2030.769 cents    2030.769230
 34:       2092.308 cents    2092.307690
 35:       2153.846 cents    2153.846150
 36:       2215.385 cents    2215.384620
 37:       2276.923 cents    2276.923080
 38:       2338.462 cents    2338.461540
 39:          4/1            2400.000000 2 octaves
|
ED4-41 - Equal division of harmonic 4 into 41 parts
|
  0:          1/1               0.000000 unison, perfect prime
  1:         58.537 cents      58.536590
  2:        117.073 cents     117.073170
  3:        175.610 cents     175.609760
  4:        234.146 cents     234.146340
  5:        292.683 cents     292.682930
  6:        351.220 cents     351.219510
  7:        409.756 cents     409.756100
  8:        468.293 cents     468.292680
  9:        526.829 cents     526.829270
 10:        585.366 cents     585.365850
 11:        643.902 cents     643.902440
 12:        702.439 cents     702.439020
 13:        760.976 cents     760.975610
 14:        819.512 cents     819.512200
 15:        878.049 cents     878.048780
 16:        936.585 cents     936.585370
 17:        995.122 cents     995.121950
 18:       1053.659 cents    1053.658540
 19:       1112.195 cents    1112.195120
 20:       1170.732 cents    1170.731710
 21:       1229.268 cents    1229.268290
 22:       1287.805 cents    1287.804880
 23:       1346.341 cents    1346.341460
 24:       1404.878 cents    1404.878050
 25:       1463.415 cents    1463.414630
 26:       1521.951 cents    1521.951220
 27:       1580.488 cents    1580.487800
 28:       1639.024 cents    1639.024390
 29:       1697.561 cents    1697.560980
 30:       1756.098 cents    1756.097560
 31:       1814.634 cents    1814.634150
 32:       1873.171 cents    1873.170730
 33:       1931.707 cents    1931.707320
 34:       1990.244 cents    1990.243900
 35:       2048.780 cents    2048.780490
 36:       2107.317 cents    2107.317070
 37:       2165.854 cents    2165.853660
 38:       2224.390 cents    2224.390240
 39:       2282.927 cents    2282.926830
 40:       2341.463 cents    2341.463410
 41:          4/1            2400.000000 2 octaves
|
HD2 04-08 - Harmonic division of 2: Harmonics 04-08
|
  0:          1/1               0.000000 unison, perfect prime
  1:          5/4             386.313714 major third
  2:          3/2             701.955001 perfect fifth
  3:          7/4             968.825906 harmonic seventh
  4:          2/1            1200.000000 octave
|
HD2 05-10 - Harmonic division of 2: Harmonics 05-10
|
  0:          1/1               0.000000 unison, perfect prime
  1:          6/5             315.641287 minor third
  2:          7/5             582.512193 septimal or Huygens' tritone, BP fourth
  3:          8/5             813.686286 minor sixth
  4:          9/5            1017.596288 just minor seventh, BP seventh
  5:          2/1            1200.000000 octave
|
HD2 06-12 - Harmonic division of 2: Harmonics 06-12
|
  0:          1/1               0.000000 unison, perfect prime
  1:          7/6             266.870906 septimal minor third
  2:          4/3             498.044999 perfect fourth
  3:          3/2             701.955001 perfect fifth
  4:          5/3             884.358713 major sixth, BP sixth
  5:         11/6            1049.362941 21/4-tone, undecimal neutral seventh
  6:          2/1            1200.000000 octave
|
HD2 07-14 - Harmonic division of 2: Harmonics 07-14
|
  0:          1/1               0.000000 unison, perfect prime
  1:          8/7             231.174094 septimal whole tone
  2:          9/7             435.084095 septimal major third, BP third
  3:         10/7             617.487807 Euler's tritone
  4:         11/7             782.492036 undecimal augmented fifth
  5:         12/7             933.129094 septimal major sixth
  6:         13/7            1071.701755 16/3-tone
  7:          2/1            1200.000000 octave
|
HD2 08-16 - Harmonic division of 2: Harmonics 08-16
|
  0:          1/1               0.000000 unison, perfect prime
  1:          9/8             203.910002 major whole tone
  2:          5/4             386.313714 major third
  3:         11/8             551.317942 undecimal semi-augmented fourth
  4:          3/2             701.955001 perfect fifth
  5:         13/8             840.527662 tridecimal neutral sixth
  6:          7/4             968.825906 harmonic seventh
  7:         15/8            1088.268715 classic major seventh
  8:          2/1            1200.000000 octave
|
HD2 09-18 - Harmonic division of 2: Harmonics 09-18
|
  0:          1/1               0.000000 unison, perfect prime
  1:         10/9             182.403712 minor whole tone
  2:         11/9             347.407941 undecimal neutral third
  3:          4/3             498.044999 perfect fourth
  4:         13/9             636.617660 tridecimal diminished fifth
  5:         14/9             764.915905 septimal minor sixth
  6:          5/3             884.358713 major sixth, BP sixth
  7:         16/9             996.089998 Pythagorean minor seventh
  8:         17/9            1101.045408 septendecimal major seventh
  9:          2/1            1200.000000 octave
|
HD2 10-20 - Harmonic division of 2: Harmonics 10-20
|
  0:          1/1               0.000000 unison, perfect prime
  1:         11/10            165.004228 4/5-tone, Ptolemy's second
  2:          6/5             315.641287 minor third
  3:         13/10            454.213948 tridecimal semi-diminished fourth
  4:          7/5             582.512193 septimal or Huygens' tritone, BP fourth
  5:          3/2             701.955001 perfect fifth
  6:          8/5             813.686286 minor sixth
  7:         17/10            918.641696 septendecimal diminished seventh
  8:          9/5            1017.596288 just minor seventh, BP seventh
  9:         19/10           1111.199302 undevicesimal major seventh
 10:          2/1            1200.000000 octave
|
HD2 11-22 - Harmonic division of 2: Harmonics 11-22
|
  0:          1/1               0.000000 unison, perfect prime
  1:         12/11            150.637059 3/4-tone, undecimal neutral second
  2:         13/11            289.209719 tridecimal minor third
  3:         14/11            417.507964 undecimal diminished fourth or major third
  4:         15/11            536.950772 undecimal augmented fourth
  5:         16/11            648.682058 undecimal semi-diminished fifth
  6:         17/11            753.637467
  7:         18/11            852.592059 undecimal neutral sixth
  8:         19/11            946.195074
  9:         20/11           1034.995772 large minor seventh
 10:         21/11           1119.462965 undecimal major seventh
 11:          2/1            1200.000000 octave
|
HD2 12-24 - Harmonic division of 2: Harmonics 12-24
|
  0:          1/1               0.000000 unison, perfect prime
  1:         13/12            138.572661 tridecimal 2/3-tone
  2:          7/6             266.870906 septimal minor third
  3:          5/4             386.313714 major third
  4:          4/3             498.044999 perfect fourth
  5:         17/12            603.000409 2nd septendecimal tritone
  6:          3/2             701.955001 perfect fifth
  7:         19/12            795.558015 undevicesimal minor sixth
  8:          5/3             884.358713 major sixth, BP sixth
  9:          7/4             968.825906 harmonic seventh
 10:         11/6            1049.362941 21/4-tone, undecimal neutral seventh
 11:         23/12           1126.319346 vicesimotertial major seventh
 12:          2/1            1200.000000 octave
|
HD2 13-26 - Harmonic division of 2: Harmonics 13-26
|
  0:          1/1               0.000000 unison, perfect prime
  1:         14/13            128.298245 2/3-tone
  2:         15/13            247.741053 tridecimal 5/4-tone
  3:         16/13            359.472338 tridecimal neutral third
  4:         17/13            464.427748
  5:         18/13            563.382340 tridecimal augmented fourth
  6:         19/13            656.985354
  7:         20/13            745.786052 tridecimal semi-augmented fifth
  8:         21/13            830.253246
  9:         22/13            910.790281 tridecimal major sixth
 10:         23/13            987.746685
 11:         24/13           1061.427339 tridecimal neutral seventh
 12:         25/13           1132.099766
 13:          2/1            1200.000000 octave
|
HD2 14-28 - Harmonic division of 2: Harmonics 14-28
|
  0:          1/1               0.000000 unison, perfect prime
  1:         15/14            119.442808 major diatonic semitone
  2:          8/7             231.174094 septimal whole tone
  3:         17/14            336.129503 supraminor third
  4:          9/7             435.084095 septimal major third, BP third
  5:         19/14            528.687110
  6:         10/7             617.487807 Euler's tritone
  7:          3/2             701.955001 perfect fifth
  8:         11/7             782.492036 undecimal augmented fifth
  9:         23/14            859.448441
 10:         12/7             933.129094 septimal major sixth
 11:         25/14           1003.801521 middle minor seventh
 12:         13/7            1071.701755 16/3-tone
 13:         27/14           1137.039096 septimal major seventh
 14:          2/1            1200.000000 octave
|
HD2 15-30 - Harmonic division of 2: Harmonics 15-30
|
  0:          1/1               0.000000 unison, perfect prime
  1:         16/15            111.731285 minor diatonic semitone
  2:         17/15            216.686695 septendecimal whole tone
  3:          6/5             315.641287 minor third
  4:         19/15            409.244301 undevicesimal ditone
  5:          4/3             498.044999 perfect fourth
  6:          7/5             582.512193 septimal or Huygens' tritone, BP fourth
  7:         22/15            663.049228 undecimal diminished fifth
  8:         23/15            740.005633
  9:          8/5             813.686286 minor sixth
 10:          5/3             884.358713 major sixth, BP sixth
 11:         26/15            952.258947 tridecimal semi-augmented sixth
 12:          9/5            1017.596288 just minor seventh, BP seventh
 13:         28/15           1080.557192 grave major seventh
 14:         29/15           1141.308479
 15:          2/1            1200.000000 octave
|
HD2 16-32 - Harmonic division of 2: Harmonics 16-32
|
  0:          1/1               0.000000 unison, perfect prime
  1:         17/16            104.955410 17th harmonic
  2:          9/8             203.910002 major whole tone
  3:         19/16            297.513016 19th harmonic
  4:          5/4             386.313714 major third
  5:         21/16            470.780907 narrow fourth
  6:         11/8             551.317942 undecimal semi-augmented fourth
  7:         23/16            628.274347 23rd harmonic
  8:          3/2             701.955001 perfect fifth
  9:         25/16            772.627428 classic augmented fifth
 10:         13/8             840.527662 tridecimal neutral sixth
 11:         27/16            905.865003 Pythagorean major sixth
 12:          7/4             968.825906 harmonic seventh
 13:         29/16           1029.577194 29th harmonic
 14:         15/8            1088.268715 classic major seventh
 15:         31/16           1145.035572 31st harmonic
 16:          2/1            1200.000000 octave
|
HD3 04-12 - Harmonic division of 3: Harmonics 04-12
|
  0:          1/1               0.000000 unison, perfect prime
  1:          5/4             386.313714 major third
  2:          3/2             701.955001 perfect fifth
  3:          7/4             968.825906 harmonic seventh
  4:          2/1            1200.000000 octave
  5:          9/4            1403.910002 major ninth
  6:          5/2            1586.313714 major 10th
  7:         11/4            1751.317942 undecimal semi-augmented fourth +1 octave
  8:          3/1            1901.955001 perfect 12th
|
HD3 05-15 - Harmonic division of 3: Harmonics 05-15
|
  0:          1/1               0.000000 unison, perfect prime
  1:          6/5             315.641287 minor third
  2:          7/5             582.512193 septimal or Huygens' tritone, BP fourth
  3:          8/5             813.686286 minor sixth
  4:          9/5            1017.596288 just minor seventh, BP seventh
  5:          2/1            1200.000000 octave
  6:         11/5            1365.004228 neutral ninth
  7:         12/5            1515.641287 minor 10th
  8:         13/5            1654.213948 tridecimal semi-diminished fourth +1 octave
  9:         14/5            1782.512193 septimal or Huygens' tritone, BP fourth +1 octave
 10:          3/1            1901.955001 perfect 12th
|
HD3 06-18 - Harmonic division of 3: Harmonics 06-18
|
  0:          1/1               0.000000 unison, perfect prime
  1:          7/6             266.870906 septimal minor third
  2:          4/3             498.044999 perfect fourth
  3:          3/2             701.955001 perfect fifth
  4:          5/3             884.358713 major sixth, BP sixth
  5:         11/6            1049.362941 21/4-tone, undecimal neutral seventh
  6:          2/1            1200.000000 octave
  7:         13/6            1338.572661 tridecimal 2/3-tone +1 octave
  8:          7/3            1466.870906 minimal tenth, BP tenth
  9:          5/2            1586.313714 major 10th
 10:          8/3            1698.044999 perfect 11th
 11:         17/6            1803.000409 2nd septendecimal tritone +1 octave
 12:          3/1            1901.955001 perfect 12th
|
HD3 07-21 - Harmonic division of 3: Harmonics 07-21
|
  0:          1/1               0.000000 unison, perfect prime
  1:          8/7             231.174094 septimal whole tone
  2:          9/7             435.084095 septimal major third, BP third
  3:         10/7             617.487807 Euler's tritone
  4:         11/7             782.492036 undecimal augmented fifth
  5:         12/7             933.129094 septimal major sixth
  6:         13/7            1071.701755 16/3-tone
  7:          2/1            1200.000000 octave
  8:         15/7            1319.442808 septimal minor ninth, BP ninth
  9:         16/7            1431.174094 septimal major ninth
 10:         17/7            1536.129503 supraminor third +1 octave
 11:         18/7            1635.084095 septimal major 10th
 12:         19/7            1728.687110
 13:         20/7            1817.487807 Euler's tritone +1 octave
 14:          3/1            1901.955001 perfect 12th
|
 HD3 08-24 - Harmonic division of 3: Harmonics 08-24
|
  0:          1/1               0.000000 unison, perfect prime
  1:          9/8             203.910002 major whole tone
  2:          5/4             386.313714 major third
  3:         11/8             551.317942 undecimal semi-augmented fourth
  4:          3/2             701.955001 perfect fifth
  5:         13/8             840.527662 tridecimal neutral sixth
  6:          7/4             968.825906 harmonic seventh
  7:         15/8            1088.268715 classic major seventh
  8:          2/1            1200.000000 octave
  9:         17/8            1304.955410 septendecimal minor ninth
 10:          9/4            1403.910002 major ninth
 11:         19/8            1497.513016 19th harmonic +1 octave
 12:          5/2            1586.313714 major 10th
 13:         21/8            1670.780907 narrow fourth +1 octave
 14:         11/4            1751.317942 undecimal semi-augmented fourth +1 octave
 15:         23/8            1828.274347 23rd harmonic +1 octave
 16:          3/1            1901.955001 perfect 12th
|
HD3 09-27 - Harmonic division of 3: Harmonics 09-27
|
  0:          1/1               0.000000 unison, perfect prime
  1:         10/9             182.403712 minor whole tone
  2:         11/9             347.407941 undecimal neutral third
  3:          4/3             498.044999 perfect fourth
  4:         13/9             636.617660 tridecimal diminished fifth
  5:         14/9             764.915905 septimal minor sixth
  6:          5/3             884.358713 major sixth, BP sixth
  7:         16/9             996.089998 Pythagorean minor seventh
  8:         17/9            1101.045408 septendecimal major seventh
  9:          2/1            1200.000000 octave
 10:         19/9            1293.603014 undevicesimal semitone +1 octave
 11:         20/9            1382.403712 small ninth
 12:          7/3            1466.870906 minimal tenth, BP tenth
 13:         22/9            1547.407941 undecimal neutral third +1 octave
 14:         23/9            1624.364346 vicesimotertial major third +1 octave
 15:          8/3            1698.044999 perfect 11th
 16:         25/9            1768.717426 classic augmented eleventh, BP twelfth
 17:         26/9            1836.617660 tridecimal diminished fifth +1 octave
 18:          3/1            1901.955001 perfect 12th
|
HD3 10-30 - Harmonic division of 3: Harmonics 10-30
|
  0:          1/1               0.000000 unison, perfect prime
  1:         11/10            165.004228 4/5-tone, Ptolemy's second
  2:          6/5             315.641287 minor third
  3:         13/10            454.213948 tridecimal semi-diminished fourth
  4:          7/5             582.512193 septimal or Huygens' tritone, BP fourth
  5:          3/2             701.955001 perfect fifth
  6:          8/5             813.686286 minor sixth
  7:         17/10            918.641696 septendecimal diminished seventh
  8:          9/5            1017.596288 just minor seventh, BP seventh
  9:         19/10           1111.199302 undevicesimal major seventh
 10:          2/1            1200.000000 octave
 11:         21/10           1284.467193 minor semitone +1 octave
 12:         11/5            1365.004228 neutral ninth
 13:         23/10           1441.960633
 14:         12/5            1515.641287 minor 10th
 15:          5/2            1586.313714 major 10th
 16:         13/5            1654.213948 tridecimal semi-diminished fourth +1 octave
 17:         27/10           1719.551289 acute fourth +1 octave
 18:         14/5            1782.512193 septimal or Huygens' tritone, BP fourth +1 octave
 19:         29/10           1843.263480
 20:          3/1            1901.955001 perfect 12th
|
HD3 11-33 - Harmonic division of 3: Harmonics 11-33
|
  0:          1/1               0.000000 unison, perfect prime
  1:         12/11            150.637059 3/4-tone, undecimal neutral second
  2:         13/11            289.209719 tridecimal minor third
  3:         14/11            417.507964 undecimal diminished fourth or major third
  4:         15/11            536.950772 undecimal augmented fourth
  5:         16/11            648.682058 undecimal semi-diminished fifth
  6:         17/11            753.637467
  7:         18/11            852.592059 undecimal neutral sixth
  8:         19/11            946.195074
  9:         20/11           1034.995772 large minor seventh
 10:         21/11           1119.462965 undecimal major seventh
 11:          2/1            1200.000000 octave
 12:         23/11           1276.956405
 13:         24/11           1350.637059 3/4-tone, undecimal neutral second +1 octave
 14:         25/11           1421.309485 undecimal acute whole tone +1 octave
 15:         26/11           1489.209719 tridecimal minor third +1 octave
 16:         27/11           1554.547060 neutral third, Zalzal wosta of al-Farabi +1 octave
 17:         28/11           1617.507964 undecimal diminished fourth or major third +1 octave
 18:         29/11           1678.259252
 19:         30/11           1736.950772 undecimal augmented fourth +1 octave
 20:         31/11           1793.717630
 21:         32/11           1848.682058 undecimal semi-diminished fifth +1 octave
 22:          3/1            1901.955001 perfect 12th
|
HD3 12-36 - Harmonic division of 3: Harmonics 12-36
|
  0:          1/1               0.000000 unison, perfect prime
  1:         13/12            138.572661 tridecimal 2/3-tone
  2:          7/6             266.870906 septimal minor third
  3:          5/4             386.313714 major third
  4:          4/3             498.044999 perfect fourth
  5:         17/12            603.000409 2nd septendecimal tritone
  6:          3/2             701.955001 perfect fifth
  7:         19/12            795.558015 undevicesimal minor sixth
  8:          5/3             884.358713 major sixth, BP sixth
  9:          7/4             968.825906 harmonic seventh
 10:         11/6            1049.362941 21/4-tone, undecimal neutral seventh
 11:         23/12           1126.319346 vicesimotertial major seventh
 12:          2/1            1200.000000 octave
 13:         25/12           1270.672427 classic augmented octave
 14:         13/6            1338.572661 tridecimal 2/3-tone +1 octave
 15:          9/4            1403.910002 major ninth
 16:          7/3            1466.870906 minimal tenth, BP tenth
 17:         29/12           1527.622193
 18:          5/2            1586.313714 major 10th
 19:         31/12           1643.080572
 20:          8/3            1698.044999 perfect 11th
 21:         11/4            1751.317942 undecimal semi-augmented fourth +1 octave
 22:         17/6            1803.000409 2nd septendecimal tritone +1 octave
 23:         35/12           1853.184619 septimal semi-diminished fifth +1 octave
 24:          3/1            1901.955001 perfect 12th
|
HD3 13-39 - Harmonic division of 3: Harmonics 13-39
|
  0:          1/1               0.000000 unison, perfect prime
  1:         14/13            128.298245 2/3-tone
  2:         15/13            247.741053 tridecimal 5/4-tone
  3:         16/13            359.472338 tridecimal neutral third
  4:         17/13            464.427748
  5:         18/13            563.382340 tridecimal augmented fourth
  6:         19/13            656.985354
  7:         20/13            745.786052 tridecimal semi-augmented fifth
  8:         21/13            830.253246
  9:         22/13            910.790281 tridecimal major sixth
 10:         23/13            987.746685
 11:         24/13           1061.427339 tridecimal neutral seventh
 12:         25/13           1132.099766
 13:          2/1            1200.000000 octave
 14:         27/13           1265.337341 tridecimal comma +1 octave
 15:         28/13           1328.298245 2/3-tone +1 octave
 16:         29/13           1389.049532
 17:         30/13           1447.741053 tridecimal 5/4-tone +1 octave
 18:         31/13           1504.507911
 19:         32/13           1559.472338 tridecimal neutral third +1 octave
 20:         33/13           1612.745281 tridecimal major third +1 octave
 21:         34/13           1664.427748
 22:         35/13           1714.611959
 23:         36/13           1763.382340 tridecimal augmented fourth +1 octave
 24:         37/13           1810.816377
 25:         38/13           1856.985354
 26:          3/1            1901.955001 perfect 12th
|
HD3 14-42 - Harmonic division of 3: Harmonics 14-42
|
  0:          1/1               0.000000 unison, perfect prime
  1:         15/14            119.442808 major diatonic semitone
  2:          8/7             231.174094 septimal whole tone
  3:         17/14            336.129503 supraminor third
  4:          9/7             435.084095 septimal major third, BP third
  5:         19/14            528.687110
  6:         10/7             617.487807 Euler's tritone
  7:          3/2             701.955001 perfect fifth
  8:         11/7             782.492036 undecimal augmented fifth
  9:         23/14            859.448441
 10:         12/7             933.129094 septimal major sixth
 11:         25/14           1003.801521 middle minor seventh
 12:         13/7            1071.701755 16/3-tone
 13:         27/14           1137.039096 septimal major seventh
 14:          2/1            1200.000000 octave
 15:         29/14           1260.751288
 16:         15/7            1319.442808 septimal minor ninth, BP ninth
 17:         31/14           1376.209666
 18:         16/7            1431.174094 septimal major ninth
 19:         33/14           1484.447037 undecimal minor third +1 octave
 20:         17/7            1536.129503 supraminor third +1 octave
 21:          5/2            1586.313714 major 10th
 22:         18/7            1635.084095 septimal major 10th
 23:         37/14           1682.518132
 24:         19/7            1728.687110
 25:         39/14           1773.656756
 26:         20/7            1817.487807 Euler's tritone +1 octave
 27:         41/14           1860.236499
 28:          3/1            1901.955001 perfect 12th
|
HD3 15-45 - Harmonic division of 3: Harmonics 15-45
|
  0:          1/1               0.000000 unison, perfect prime
  1:         16/15            111.731285 minor diatonic semitone
  2:         17/15            216.686695 septendecimal whole tone
  3:          6/5             315.641287 minor third
  4:         19/15            409.244301 undevicesimal ditone
  5:          4/3             498.044999 perfect fourth
  6:          7/5             582.512193 septimal or Huygens' tritone, BP fourth
  7:         22/15            663.049228 undecimal diminished fifth
  8:         23/15            740.005633
  9:          8/5             813.686286 minor sixth
 10:          5/3             884.358713 major sixth, BP sixth
 11:         26/15            952.258947 tridecimal semi-augmented sixth
 12:          9/5            1017.596288 just minor seventh, BP seventh
 13:         28/15           1080.557192 grave major seventh
 14:         29/15           1141.308479
 15:          2/1            1200.000000 octave
 16:         31/15           1256.766858 31st-partial chroma +1 octave
 17:         32/15           1311.731285 minor ninth
 18:         11/5            1365.004228 neutral ninth
 19:         34/15           1416.686695 septendecimal whole tone +1 octave
 20:          7/3            1466.870906 minimal tenth, BP tenth
 21:         12/5            1515.641287 minor 10th
 22:         37/15           1563.075324
 23:         38/15           1609.244301 undevicesimal ditone +1 octave
 24:         13/5            1654.213948 tridecimal semi-diminished fourth +1 octave
 25:          8/3            1698.044999 perfect 11th
 26:         41/15           1740.793691
 27:         14/5            1782.512193 septimal or Huygens' tritone, BP fourth +1 octave
 28:         43/15           1823.248991
 29:         44/15           1863.049228 undecimal diminished fifth +1 octave
 30:          3/1            1901.955001 perfect 12th
|
HD3 16-48 - Harmonic division of 3: Harmonics 16-48
|
  0:          1/1               0.000000 unison, perfect prime
  1:         17/16            104.955410 17th harmonic
  2:          9/8             203.910002 major whole tone
  3:         19/16            297.513016 19th harmonic
  4:          5/4             386.313714 major third
  5:         21/16            470.780907 narrow fourth
  6:         11/8             551.317942 undecimal semi-augmented fourth
  7:         23/16            628.274347 23rd harmonic
  8:          3/2             701.955001 perfect fifth
  9:         25/16            772.627428 classic augmented fifth
 10:         13/8             840.527662 tridecimal neutral sixth
 11:         27/16            905.865003 Pythagorean major sixth
 12:          7/4             968.825906 harmonic seventh
 13:         29/16           1029.577194 29th harmonic
 14:         15/8            1088.268715 classic major seventh
 15:         31/16           1145.035572 31st harmonic
 16:          2/1            1200.000000 octave
 17:         33/16           1253.272943 undecimal comma, al-Farabi's 1/4-tone +1 octave
 18:         17/8            1304.955410 septendecimal minor ninth
 19:         35/16           1355.139620 septimal neutral second +1 octave
 20:          9/4            1403.910002 major ninth
 21:         37/16           1451.344039 37th harmonic +1 octave
 22:         19/8            1497.513016 19th harmonic +1 octave
 23:         39/16           1542.482663 39th harmonic, Zalzal wosta of Ibn Sina +1 octave
 24:          5/2            1586.313714 major 10th
 25:         41/16           1629.062406
 26:         21/8            1670.780907 narrow fourth +1 octave
 27:         43/16           1711.517706
 28:         11/4            1751.317942 undecimal semi-augmented fourth +1 octave
 29:         45/16           1790.223716 diatonic tritone +1 octave
 30:         23/8            1828.274347 23rd harmonic +1 octave
 31:         47/16           1865.506622
 32:          3/1            1901.955001 perfect 12th
|
HD4 04-16 - Harmonic division of 4: Harmonics 04-16
|
  0:          1/1               0.000000 unison, perfect prime
  1:          5/4             386.313714 major third
  2:          3/2             701.955001 perfect fifth
  3:          7/4             968.825906 harmonic seventh
  4:          2/1            1200.000000 octave
  5:          9/4            1403.910002 major ninth
  6:          5/2            1586.313714 major 10th
  7:         11/4            1751.317942 undecimal semi-augmented fourth +1 octave
  8:          3/1            1901.955001 perfect 12th
  9:         13/4            2040.527662 tridecimal neutral sixth +1 octave
 10:          7/2            2168.825906 harmonic 14th
 11:         15/4            2288.268715 classic major 14th
 12:          4/1            2400.000000 2 octaves
|
HD4 05-20 - Harmonic division of 4: Harmonics 05-20
|
  0:          1/1               0.000000 unison, perfect prime
  1:          6/5             315.641287 minor third
  2:          7/5             582.512193 septimal or Huygens' tritone, BP fourth
  3:          8/5             813.686286 minor sixth
  4:          9/5            1017.596288 just minor seventh, BP seventh
  5:          2/1            1200.000000 octave
  6:         11/5            1365.004228 neutral ninth
  7:         12/5            1515.641287 minor 10th
  8:         13/5            1654.213948 tridecimal semi-diminished fourth +1 octave
  9:         14/5            1782.512193 septimal or Huygens' tritone, BP fourth +1 octave
 10:          3/1            1901.955001 perfect 12th
 11:         16/5            2013.686286 minor 13th
 12:         17/5            2118.641696 septendecimal diminished seventh +1 octave
 13:         18/5            2217.596288 minor 14th
 14:         19/5            2311.199302 undevicesimal major seventh +1 octave
 15:          4/1            2400.000000 2 octaves
|
HD4 06-24 - Harmonic division of 4: Harmonics 06-24
|
  0:          1/1               0.000000 unison, perfect prime
  1:          7/6             266.870906 septimal minor third
  2:          4/3             498.044999 perfect fourth
  3:          3/2             701.955001 perfect fifth
  4:          5/3             884.358713 major sixth, BP sixth
  5:         11/6            1049.362941 21/4-tone, undecimal neutral seventh
  6:          2/1            1200.000000 octave
  7:         13/6            1338.572661 tridecimal 2/3-tone +1 octave
  8:          7/3            1466.870906 minimal tenth, BP tenth
  9:          5/2            1586.313714 major 10th
 10:          8/3            1698.044999 perfect 11th
 11:         17/6            1803.000409 2nd septendecimal tritone +1 octave
 12:          3/1            1901.955001 perfect 12th
 13:         19/6            1995.558015 undevicesimal minor sixth +1 octave
 14:         10/3            2084.358713 major 13th
 15:          7/2            2168.825906 harmonic 14th
 16:         11/3            2249.362941 21/4-tone, undecimal neutral seventh +1 octave
 17:         23/6            2326.319346 vicesimotertial major seventh +1 octave
 18:          4/1            2400.000000 2 octaves
|
HD4 07-28 - Harmonic division of 4: Harmonics 07-28
|
  0:          1/1               0.000000 unison, perfect prime
  1:          8/7             231.174094 septimal whole tone
  2:          9/7             435.084095 septimal major third, BP third
  3:         10/7             617.487807 Euler's tritone
  4:         11/7             782.492036 undecimal augmented fifth
  5:         12/7             933.129094 septimal major sixth
  6:         13/7            1071.701755 16/3-tone
  7:          2/1            1200.000000 octave
  8:         15/7            1319.442808 septimal minor ninth, BP ninth
  9:         16/7            1431.174094 septimal major ninth
 10:         17/7            1536.129503 supraminor third +1 octave
 11:         18/7            1635.084095 septimal major 10th
 12:         19/7            1728.687110
 13:         20/7            1817.487807 Euler's tritone +1 octave
 14:          3/1            1901.955001 perfect 12th
 15:         22/7            1982.492036 undecimal augmented fifth +1 octave
 16:         23/7            2059.448441
 17:         24/7            2133.129094 septimal major 13th
 18:         25/7            2203.801521 middle minor seventh +1 octave
 19:         26/7            2271.701755 16/3-tone +1 octave
 20:         27/7            2337.039096 septimal major seventh +1 octave
 21:          4/1            2400.000000 2 octaves
|
HD4 08-32 - Harmonic division of 4: Harmonics 08-32
|
  0:          1/1               0.000000 unison, perfect prime
  1:          9/8             203.910002 major whole tone
  2:          5/4             386.313714 major third
  3:         11/8             551.317942 undecimal semi-augmented fourth
  4:          3/2             701.955001 perfect fifth
  5:         13/8             840.527662 tridecimal neutral sixth
  6:          7/4             968.825906 harmonic seventh
  7:         15/8            1088.268715 classic major seventh
  8:          2/1            1200.000000 octave
  9:         17/8            1304.955410 septendecimal minor ninth
 10:          9/4            1403.910002 major ninth
 11:         19/8            1497.513016 19th harmonic +1 octave
 12:          5/2            1586.313714 major 10th
 13:         21/8            1670.780907 narrow fourth +1 octave
 14:         11/4            1751.317942 undecimal semi-augmented fourth +1 octave
 15:         23/8            1828.274347 23rd harmonic +1 octave
 16:          3/1            1901.955001 perfect 12th
 17:         25/8            1972.627428 classic augmented 12th
 18:         13/4            2040.527662 tridecimal neutral sixth +1 octave
 19:         27/8            2105.865003 Pythagorean major sixth +1 octave
 20:          7/2            2168.825906 harmonic 14th
 21:         29/8            2229.577194 29th harmonic +1 octave
 22:         15/4            2288.268715 classic major 14th
 23:         31/8            2345.035572 31st harmonic +1 octave
 24:          4/1            2400.000000 2 octaves
|
HD4 09-36 - Harmonic division of 4: Harmonics 09-36v
|
  0:          1/1               0.000000 unison, perfect prime
  1:         10/9             182.403712 minor whole tone
  2:         11/9             347.407941 undecimal neutral third
  3:          4/3             498.044999 perfect fourth
  4:         13/9             636.617660 tridecimal diminished fifth
  5:         14/9             764.915905 septimal minor sixth
  6:          5/3             884.358713 major sixth, BP sixth
  7:         16/9             996.089998 Pythagorean minor seventh
  8:         17/9            1101.045408 septendecimal major seventh
  9:          2/1            1200.000000 octave
 10:         19/9            1293.603014 undevicesimal semitone +1 octave
 11:         20/9            1382.403712 small ninth
 12:          7/3            1466.870906 minimal tenth, BP tenth
 13:         22/9            1547.407941 undecimal neutral third +1 octave
 14:         23/9            1624.364346 vicesimotertial major third +1 octave
 15:          8/3            1698.044999 perfect 11th
 16:         25/9            1768.717426 classic augmented eleventh, BP twelfth
 17:         26/9            1836.617660 tridecimal diminished fifth +1 octave
 18:          3/1            1901.955001 perfect 12th
 19:         28/9            1964.915905 septimal minor 13th
 20:         29/9            2025.667192
 21:         10/3            2084.358713 major 13th
 22:         31/9            2141.125571
 23:         32/9            2196.089998 Pythagorean minor 14th
 24:         11/3            2249.362941 21/4-tone, undecimal neutral seventh +1 octave
 25:         34/9            2301.045408 septendecimal major seventh +1 octave
 26:         35/9            2351.229619 septimal semi-diminished octave +1 octave
 27:          4/1            2400.000000 2 octaves
|
HD4 10-40 - Harmonic division of 4: Harmonics 10-40
|
  0:          1/1               0.000000 unison, perfect prime
  1:         11/10            165.004228 4/5-tone, Ptolemy's second
  2:          6/5             315.641287 minor third
  3:         13/10            454.213948 tridecimal semi-diminished fourth
  4:          7/5             582.512193 septimal or Huygens' tritone, BP fourth
  5:          3/2             701.955001 perfect fifth
  6:          8/5             813.686286 minor sixth
  7:         17/10            918.641696 septendecimal diminished seventh
  8:          9/5            1017.596288 just minor seventh, BP seventh
  9:         19/10           1111.199302 undevicesimal major seventh
 10:          2/1            1200.000000 octave
 11:         21/10           1284.467193 minor semitone +1 octave
 12:         11/5            1365.004228 neutral ninth
 13:         23/10           1441.960633
 14:         12/5            1515.641287 minor 10th
 15:          5/2            1586.313714 major 10th
 16:         13/5            1654.213948 tridecimal semi-diminished fourth +1 octave
 17:         27/10           1719.551289 acute fourth +1 octave
 18:         14/5            1782.512193 septimal or Huygens' tritone, BP fourth +1 octave
 19:         29/10           1843.263480
 20:          3/1            1901.955001 perfect 12th
 21:         31/10           1958.721859
 22:         16/5            2013.686286 minor 13th
 23:         33/10           2066.959229
 24:         17/5            2118.641696 septendecimal diminished seventh +1 octave
 25:          7/2            2168.825906 harmonic 14th
 26:         18/5            2217.596288 minor 14th
 27:         37/10           2265.030325
 28:         19/5            2311.199302 undevicesimal major seventh +1 octave
 29:         39/10           2356.168949
 30:          4/1            2400.000000 2 octaves
|
HD4 11-44 - Harmonic division of 4: Harmonics 11-44
|
  0:          1/1               0.000000 unison, perfect prime
  1:         12/11            150.637059 3/4-tone, undecimal neutral second
  2:         13/11            289.209719 tridecimal minor third
  3:         14/11            417.507964 undecimal diminished fourth or major third
  4:         15/11            536.950772 undecimal augmented fourth
  5:         16/11            648.682058 undecimal semi-diminished fifth
  6:         17/11            753.637467
  7:         18/11            852.592059 undecimal neutral sixth
  8:         19/11            946.195074
  9:         20/11           1034.995772 large minor seventh
 10:         21/11           1119.462965 undecimal major seventh
 11:          2/1            1200.000000 octave
 12:         23/11           1276.956405
 13:         24/11           1350.637059 3/4-tone, undecimal neutral second +1 octave
 14:         25/11           1421.309485 undecimal acute whole tone +1 octave
 15:         26/11           1489.209719 tridecimal minor third +1 octave
 16:         27/11           1554.547060 neutral third, Zalzal wosta of al-Farabi +1 octave
 17:         28/11           1617.507964 undecimal diminished fourth or major third +1 octave
 18:         29/11           1678.259252
 19:         30/11           1736.950772 undecimal augmented fourth +1 octave
 20:         31/11           1793.717630
 21:         32/11           1848.682058 undecimal semi-diminished fifth +1 octave
 22:          3/1            1901.955001 perfect 12th
 23:         34/11           1953.637467
 24:         35/11           2003.821678
 25:         36/11           2052.592059 undecimal neutral sixth +1 octave
 26:         37/11           2100.026096
 27:         38/11           2146.195074
 28:         39/11           2191.164720
 29:         40/11           2234.995772 large minor seventh +1 octave
 30:         41/11           2277.744463
 31:         42/11           2319.462965 undecimal major seventh +1 octave
 32:         43/11           2360.199763
 33:          4/1            2400.000000 2 octaves
|
HD4 12-48 - Harmonic division of 4: Harmonics 12-48
|
  0:          1/1               0.000000 unison, perfect prime
  1:         13/12            138.572661 tridecimal 2/3-tone
  2:          7/6             266.870906 septimal minor third
  3:          5/4             386.313714 major third
  4:          4/3             498.044999 perfect fourth
  5:         17/12            603.000409 2nd septendecimal tritone
  6:          3/2             701.955001 perfect fifth
  7:         19/12            795.558015 undevicesimal minor sixth
  8:          5/3             884.358713 major sixth, BP sixth
  9:          7/4             968.825906 harmonic seventh
 10:         11/6            1049.362941 21/4-tone, undecimal neutral seventh
 11:         23/12           1126.319346 vicesimotertial major seventh
 12:          2/1            1200.000000 octave
 13:         25/12           1270.672427 classic augmented octave
 14:         13/6            1338.572661 tridecimal 2/3-tone +1 octave
 15:          9/4            1403.910002 major ninth
 16:          7/3            1466.870906 minimal tenth, BP tenth
 17:         29/12           1527.622193
 18:          5/2            1586.313714 major 10th
 19:         31/12           1643.080572
 20:          8/3            1698.044999 perfect 11th
 21:         11/4            1751.317942 undecimal semi-augmented fourth +1 octave
 22:         17/6            1803.000409 2nd septendecimal tritone +1 octave
 23:         35/12           1853.184619 septimal semi-diminished fifth +1 octave
 24:          3/1            1901.955001 perfect 12th
 25:         37/12           1949.389038
 26:         19/6            1995.558015 undevicesimal minor sixth +1 octave
 27:         13/4            2040.527662 tridecimal neutral sixth +1 octave
 28:         10/3            2084.358713 major 13th
 29:         41/12           2127.107405
 30:          7/2            2168.825906 harmonic 14th
 31:         43/12           2209.562705
 32:         11/3            2249.362941 21/4-tone, undecimal neutral seventh +1 octave
 33:         15/4            2288.268715 classic major 14th
 34:         23/6            2326.319346 vicesimotertial major seventh +1 octave
 35:         47/12           2363.551621
 36:          4/1            2400.000000 2 octaves
|
HD4 13-52 - Harmonic division of 4: Harmonics 13-52
|
  0:          1/1               0.000000 unison, perfect prime
  1:         14/13            128.298245 2/3-tone
  2:         15/13            247.741053 tridecimal 5/4-tone
  3:         16/13            359.472338 tridecimal neutral third
  4:         17/13            464.427748
  5:         18/13            563.382340 tridecimal augmented fourth
  6:         19/13            656.985354
  7:         20/13            745.786052 tridecimal semi-augmented fifth
  8:         21/13            830.253246
  9:         22/13            910.790281 tridecimal major sixth
 10:         23/13            987.746685
 11:         24/13           1061.427339 tridecimal neutral seventh
 12:         25/13           1132.099766
 13:          2/1            1200.000000 octave
 14:         27/13           1265.337341 tridecimal comma +1 octave
 15:         28/13           1328.298245 2/3-tone +1 octave
 16:         29/13           1389.049532
 17:         30/13           1447.741053 tridecimal 5/4-tone +1 octave
 18:         31/13           1504.507911
 19:         32/13           1559.472338 tridecimal neutral third +1 octave
 20:         33/13           1612.745281 tridecimal major third +1 octave
 21:         34/13           1664.427748
 22:         35/13           1714.611959
 23:         36/13           1763.382340 tridecimal augmented fourth +1 octave
 24:         37/13           1810.816377
 25:         38/13           1856.985354
 26:          3/1            1901.955001 perfect 12th
 27:         40/13           1945.786052 tridecimal semi-augmented fifth +1 octave
 28:         41/13           1988.534744
 29:         42/13           2030.253246
 30:         43/13           2070.990044
 31:         44/13           2110.790281 tridecimal major sixth +1 octave
 32:         45/13           2149.696054
 33:         46/13           2187.746685
 34:         47/13           2224.978960
 35:         48/13           2261.427339 tridecimal neutral seventh +1 octave
 36:         49/13           2297.124151
 37:         50/13           2332.099766
 38:         51/13           2366.382749
 39:          4/1            2400.000000 2 octaves
|
HD4 14-56 - Harmonic division of 4: Harmonics 14-56
|
  0:          1/1               0.000000 unison, perfect prime
  1:         15/14            119.442808 major diatonic semitone
  2:          8/7             231.174094 septimal whole tone
  3:         17/14            336.129503 supraminor third
  4:          9/7             435.084095 septimal major third, BP third
  5:         19/14            528.687110
  6:         10/7             617.487807 Euler's tritone
  7:          3/2             701.955001 perfect fifth
  8:         11/7             782.492036 undecimal augmented fifth
  9:         23/14            859.448441
 10:         12/7             933.129094 septimal major sixth
 11:         25/14           1003.801521 middle minor seventh
 12:         13/7            1071.701755 16/3-tone
 13:         27/14           1137.039096 septimal major seventh
 14:          2/1            1200.000000 octave
 15:         29/14           1260.751288
 16:         15/7            1319.442808 septimal minor ninth, BP ninth
 17:         31/14           1376.209666
 18:         16/7            1431.174094 septimal major ninth
 19:         33/14           1484.447037 undecimal minor third +1 octave
 20:         17/7            1536.129503 supraminor third +1 octave
 21:          5/2            1586.313714 major 10th
 22:         18/7            1635.084095 septimal major 10th
 23:         37/14           1682.518132
 24:         19/7            1728.687110
 25:         39/14           1773.656756
 26:         20/7            1817.487807 Euler's tritone +1 octave
 27:         41/14           1860.236499
 28:          3/1            1901.955001 perfect 12th
 29:         43/14           1942.691799
 30:         22/7            1982.492036 undecimal augmented fifth +1 octave
 31:         45/14           2021.397809
 32:         23/7            2059.448441
 33:         47/14           2096.680716
 34:         24/7            2133.129094 septimal major 13th
 35:          7/2            2168.825906 harmonic 14th
 36:         25/7            2203.801521 middle minor seventh +1 octave
 37:         51/14           2238.084504
 38:         26/7            2271.701755 16/3-tone +1 octave
 39:         53/14           2304.678639
 40:         27/7            2337.039096 septimal major seventh +1 octave
 41:         55/14           2368.805750
 42:          4/1            2400.000000 2 octaves
|
HD4 15-60 - Harmonic division of 4: Harmonics 15-60
|
  0:          1/1               0.000000 unison, perfect prime
  1:         16/15            111.731285 minor diatonic semitone
  2:         17/15            216.686695 septendecimal whole tone
  3:          6/5             315.641287 minor third
  4:         19/15            409.244301 undevicesimal ditone
  5:          4/3             498.044999 perfect fourth
  6:          7/5             582.512193 septimal or Huygens' tritone, BP fourth
  7:         22/15            663.049228 undecimal diminished fifth
  8:         23/15            740.005633
  9:          8/5             813.686286 minor sixth
 10:          5/3             884.358713 major sixth, BP sixth
 11:         26/15            952.258947 tridecimal semi-augmented sixth
 12:          9/5            1017.596288 just minor seventh, BP seventh
 13:         28/15           1080.557192 grave major seventh
 14:         29/15           1141.308479
 15:          2/1            1200.000000 octave
 16:         31/15           1256.766858 31st-partial chroma +1 octave
 17:         32/15           1311.731285 minor ninth
 18:         11/5            1365.004228 neutral ninth
 19:         34/15           1416.686695 septendecimal whole tone +1 octave
 20:          7/3            1466.870906 minimal tenth, BP tenth
 21:         12/5            1515.641287 minor 10th
 22:         37/15           1563.075324
 23:         38/15           1609.244301 undevicesimal ditone +1 octave
 24:         13/5            1654.213948 tridecimal semi-diminished fourth +1 octave
 25:          8/3            1698.044999 perfect 11th
 26:         41/15           1740.793691
 27:         14/5            1782.512193 septimal or Huygens' tritone, BP fourth +1 octave
 28:         43/15           1823.248991
 29:         44/15           1863.049228 undecimal diminished fifth +1 octave
 30:          3/1            1901.955001 perfect 12th
 31:         46/15           1940.005633
 32:         47/15           1977.237907
 33:         16/5            2013.686286 minor 13th
 34:         49/15           2049.383098 larger approximation to neutral sixth +1 octave
 35:         10/3            2084.358713 major 13th
 36:         17/5            2118.641696 septendecimal diminished seventh +1 octave
 37:         52/15           2152.258947 tridecimal semi-augmented sixth +1 octave
 38:         53/15           2185.235831
 39:         18/5            2217.596288 minor 14th
 40:         11/3            2249.362941 21/4-tone, undecimal neutral seventh +1 octave
 41:         56/15           2280.557192 grave major seventh +1 octave
 42:         19/5            2311.199302 undevicesimal major seventh +1 octave
 43:         58/15           2341.308479
 44:         59/15           2370.902945
 45:          4/1            2400.000000 2 octaves
|
HD4 16-64 - Harmonic division of 4: Harmonics 16-64
|
  0:          1/1               0.000000 unison, perfect prime
  1:         17/16            104.955410 17th harmonic
  2:          9/8             203.910002 major whole tone
  3:         19/16            297.513016 19th harmonic
  4:          5/4             386.313714 major third
  5:         21/16            470.780907 narrow fourth
  6:         11/8             551.317942 undecimal semi-augmented fourth
  7:         23/16            628.274347 23rd harmonic
  8:          3/2             701.955001 perfect fifth
  9:         25/16            772.627428 classic augmented fifth
 10:         13/8             840.527662 tridecimal neutral sixth
 11:         27/16            905.865003 Pythagorean major sixth
 12:          7/4             968.825906 harmonic seventh
 13:         29/16           1029.577194 29th harmonic
 14:         15/8            1088.268715 classic major seventh
 15:         31/16           1145.035572 31st harmonic
 16:          2/1            1200.000000 octave
 17:         33/16           1253.272943 undecimal comma, al-Farabi's 1/4-tone +1 octave
 18:         17/8            1304.955410 septendecimal minor ninth
 19:         35/16           1355.139620 septimal neutral second +1 octave
 20:          9/4            1403.910002 major ninth
 21:         37/16           1451.344039 37th harmonic +1 octave
 22:         19/8            1497.513016 19th harmonic +1 octave
 23:         39/16           1542.482663 39th harmonic, Zalzal wosta of Ibn Sina +1 octave
 24:          5/2            1586.313714 major 10th
 25:         41/16           1629.062406
 26:         21/8            1670.780907 narrow fourth +1 octave
 27:         43/16           1711.517706
 28:         11/4            1751.317942 undecimal semi-augmented fourth +1 octave
 29:         45/16           1790.223716 diatonic tritone +1 octave
 30:         23/8            1828.274347 23rd harmonic +1 octave
 31:         47/16           1865.506622
 32:          3/1            1901.955001 perfect 12th
 33:         49/16           1937.651813
 34:         25/8            1972.627428 classic augmented 12th
 35:         51/16           2006.910410
 36:         13/4            2040.527662 tridecimal neutral sixth +1 octave
 37:         53/16           2073.504545
 38:         27/8            2105.865003 Pythagorean major sixth +1 octave
 39:         55/16           2137.631656
 40:          7/2            2168.825906 harmonic 14th
 41:         57/16           2199.468017
 42:         29/8            2229.577194 29th harmonic +1 octave
 43:         59/16           2259.171659
 44:         15/4            2288.268715 classic major 14th
 45:         61/16           2316.884805
 46:         31/8            2345.035572 31st harmonic +1 octave
 47:         63/16           2372.735908 octave - septimal comma +1 octave
 48:          4/1            2400.000000 2 octaves
|
SD2 08-04 - Subharmonic division of 2: Subharmonics 08-04
|
  0:          1/1               0.000000 unison, perfect prime
  1:          8/7             231.174094 septimal whole tone
  2:          4/3             498.044999 perfect fourth
  3:          8/5             813.686286 minor sixth
  4:          2/1            1200.000000 octave
|
SD2 10-05 - Subharmonic division of 2: Subharmonics 10-05
|
  0:          1/1               0.000000 unison, perfect prime
  1:         10/9             182.403712 minor whole tone
  2:          5/4             386.313714 major third
  3:         10/7             617.487807 Euler's tritone
  4:          5/3             884.358713 major sixth, BP sixth
  5:          2/1            1200.000000 octave
|
SD2 12-06 - Subharmonic division of 2: Subharmonics 12-06
|
  0:          1/1               0.000000 unison, perfect prime
  1:         12/11            150.637059 3/4-tone, undecimal neutral second
  2:          6/5             315.641287 minor third
  3:          4/3             498.044999 perfect fourth
  4:          3/2             701.955001 perfect fifth
  5:         12/7             933.129094 septimal major sixth
  6:          2/1            1200.000000 octave
|
SD2 14-07 - Subharmonic division of 2: Subharmonics 14-07
|
  0:          1/1               0.000000 unison, perfect prime
  1:         14/13            128.298245 2/3-tone
  2:          7/6             266.870906 septimal minor third
  3:         14/11            417.507964 undecimal diminished fourth or major third
  4:          7/5             582.512193 septimal or Huygens' tritone, BP fourth
  5:         14/9             764.915905 septimal minor sixth
  6:          7/4             968.825906 harmonic seventh
  7:          2/1            1200.000000 octave
|
SD2 16-08 - Subharmonic division of 2: Subharmonics 16-08
|
  0:          1/1               0.000000 unison, perfect prime
  1:         16/15            111.731285 minor diatonic semitone
  2:          8/7             231.174094 septimal whole tone
  3:         16/13            359.472338 tridecimal neutral third
  4:          4/3             498.044999 perfect fourth
  5:         16/11            648.682058 undecimal semi-diminished fifth
  6:          8/5             813.686286 minor sixth
  7:         16/9             996.089998 Pythagorean minor seventh
  8:          2/1            1200.000000 octave
|
SD2 18-09 - Subharmonic division of 2: Subharmonics 18-09
|
  0:          1/1               0.000000 unison, perfect prime
  1:         18/17             98.954592 Arabic lute index finger
  2:          9/8             203.910002 major whole tone
  3:          6/5             315.641287 minor third
  4:          9/7             435.084095 septimal major third, BP third
  5:         18/13            563.382340 tridecimal augmented fourth
  6:          3/2             701.955001 perfect fifth
  7:         18/11            852.592059 undecimal neutral sixth
  8:          9/5            1017.596288 just minor seventh, BP seventh
  9:          2/1            1200.000000 octave
|
SD2 20-10 - Subharmonic division of 2: Subharmonics 20-10
|
  0:          1/1               0.000000 unison, perfect prime
  1:         20/19             88.800698 small undevicesimal semitone
  2:         10/9             182.403712 minor whole tone
  3:         20/17            281.358304 septendecimal augmented second
  4:          5/4             386.313714 major third
  5:          4/3             498.044999 perfect fourth
  6:         10/7             617.487807 Euler's tritone
  7:         20/13            745.786052 tridecimal semi-augmented fifth
  8:          5/3             884.358713 major sixth, BP sixth
  9:         20/11           1034.995772 large minor seventh
 10:          2/1            1200.000000 octave
|
SD2 22-11 - Subharmonic division of 2: Subharmonics 22-11
|
  0:          1/1               0.000000 unison, perfect prime
  1:         22/21             80.537035 undecimal minor semitone
  2:         11/10            165.004228 4/5-tone, Ptolemy's second
  3:         22/19            253.804926
  4:         11/9             347.407941 undecimal neutral third
  5:         22/17            446.362533
  6:         11/8             551.317942 undecimal semi-augmented fourth
  7:         22/15            663.049228 undecimal diminished fifth
  8:         11/7             782.492036 undecimal augmented fifth
  9:         22/13            910.790281 tridecimal major sixth
 10:         11/6            1049.362941 21/4-tone, undecimal neutral seventh
 11:          2/1            1200.000000 octave
|
SD2 24-12 - Subharmonic division of 2: Subharmonics 24-12
|
  0:          1/1               0.000000 unison, perfect prime
  1:         24/23             73.680654 vicesimotertial minor semitone
  2:         12/11            150.637059 3/4-tone, undecimal neutral second
  3:          8/7             231.174094 septimal whole tone
  4:          6/5             315.641287 minor third
  5:         24/19            404.441985 smaller undevicesimal major third
  6:          4/3             498.044999 perfect fourth
  7:         24/17            596.999591 1st septendecimal tritone
  8:          3/2             701.955001 perfect fifth
  9:          8/5             813.686286 minor sixth
 10:         12/7             933.129094 septimal major sixth
 11:         24/13           1061.427339 tridecimal neutral seventh
 12:          2/1            1200.000000 octave
|
SD2 26-13 - Subharmonic division of 2: Subharmonics 26-13
|
  0:          1/1               0.000000 unison, perfect prime
  1:         26/25             67.900234 tridecimal 1/3-tone
  2:         13/12            138.572661 tridecimal 2/3-tone
  3:         26/23            212.253315
  4:         13/11            289.209719 tridecimal minor third
  5:         26/21            369.746754
  6:         13/10            454.213948 tridecimal semi-diminished fourth
  7:         26/19            543.014646
  8:         13/9             636.617660 tridecimal diminished fifth
  9:         26/17            735.572252
 10:         13/8             840.527662 tridecimal neutral sixth
 11:         26/15            952.258947 tridecimal semi-augmented sixth
 12:         13/7            1071.701755 16/3-tone
 13:          2/1            1200.000000 octave
|
SD2 28-14 - Subharmonic division of 2: Subharmonics 28-14
|
  0:          1/1               0.000000 unison, perfect prime
  1:         28/27             62.960904 Archytas' 1/3-tone
  2:         14/13            128.298245 2/3-tone
  3:         28/25            196.198479 middle second
  4:          7/6             266.870906 septimal minor third
  5:         28/23            340.551559
  6:         14/11            417.507964 undecimal diminished fourth or major third
  7:          4/3             498.044999 perfect fourth
  8:          7/5             582.512193 septimal or Huygens' tritone, BP fourth
  9:         28/19            671.312890
 10:         14/9             764.915905 septimal minor sixth
 11:         28/17            863.870497 submajor sixth
 12:          7/4             968.825906 harmonic seventh
 13:         28/15           1080.557192 grave major seventh
 14:          2/1            1200.000000 octave
|
SD2 30-15 - Subharmonic division of 2: Subharmonics 30-15
|
  0:          1/1               0.000000 unison, perfect prime
  1:         30/29             58.691521
  2:         15/14            119.442808 major diatonic semitone
  3:         10/9             182.403712 minor whole tone
  4:         15/13            247.741053 tridecimal 5/4-tone
  5:          6/5             315.641287 minor third
  6:          5/4             386.313714 major third
  7:         30/23            459.994367
  8:         15/11            536.950772 undecimal augmented fourth
  9:         10/7             617.487807 Euler's tritone
 10:          3/2             701.955001 perfect fifth
 11:         30/19            790.755699 smaller undevicesimal minor sixth
 12:          5/3             884.358713 major sixth, BP sixth
 13:         30/17            983.313305 septendecimal minor seventh
 14:         15/8            1088.268715 classic major seventh
 15:          2/1            1200.000000 octave
|
SD2 32-16 - Subharmonic division of 2: Subharmonics 32-16
|
  0:          1/1               0.000000 unison, perfect prime
  1:         32/31             54.964428 Greek enharmonic 1/4-tone
  2:         16/15            111.731285 minor diatonic semitone
  3:         32/29            170.422806 29th subharmonic
  4:          8/7             231.174094 septimal whole tone
  5:         32/27            294.134997 Pythagorean minor third
  6:         16/13            359.472338 tridecimal neutral third
  7:         32/25            427.372572 classic diminished fourth
  8:          4/3             498.044999 perfect fourth
  9:         32/23            571.725653 23rd subharmonic
 10:         16/11            648.682058 undecimal semi-diminished fifth
 11:         32/21            729.219093 wide fifth
 12:          8/5             813.686286 minor sixth
 13:         32/19            902.486984 19th subharmonic
 14:         16/9             996.089998 Pythagorean minor seventh
 15:         32/17           1095.044590 17th subharmonic
 16:          2/1            1200.000000 octave
|
SD3 12-04 - Subharmonic division of 3: Subharmonics 12-04
|
  0:          1/1               0.000000 unison, perfect prime
  1:         12/11            150.637059 3/4-tone, undecimal neutral second
  2:          6/5             315.641287 minor third
  3:          4/3             498.044999 perfect fourth
  4:          3/2             701.955001 perfect fifth
  5:         12/7             933.129094 septimal major sixth
  6:          2/1            1200.000000 octave
  7:         12/5            1515.641287 minor 10th
  8:          3/1            1901.955001 perfect 12th
|
SD3 15-05 - Subharmonic division of 3: Subharmonics 15-05
|
  0:          1/1               0.000000 unison, perfect prime
  1:         15/14            119.442808 major diatonic semitone
  2:         15/13            247.741053 tridecimal 5/4-tone
  3:          5/4             386.313714 major third
  4:         15/11            536.950772 undecimal augmented fourth
  5:          3/2             701.955001 perfect fifth
  6:          5/3             884.358713 major sixth, BP sixth
  7:         15/8            1088.268715 classic major seventh
  8:         15/7            1319.442808 septimal minor ninth, BP ninth
  9:          5/2            1586.313714 major 10th
 10:          3/1            1901.955001 perfect 12th
|
SD3 18-06 - Subharmonic division of 3: Subharmonics 18-06
|
  0:          1/1               0.000000 unison, perfect prime
  1:         18/17             98.954592 Arabic lute index finger
  2:          9/8             203.910002 major whole tone
  3:          6/5             315.641287 minor third
  4:          9/7             435.084095 septimal major third, BP third
  5:         18/13            563.382340 tridecimal augmented fourth
  6:          3/2             701.955001 perfect fifth
  7:         18/11            852.592059 undecimal neutral sixth
  8:          9/5            1017.596288 just minor seventh, BP seventh
  9:          2/1            1200.000000 octave
 10:          9/4            1403.910002 major ninth
 11:         18/7            1635.084095 septimal major 10th
 12:          3/1            1901.955001 perfect 12th
|
SD3 21-07 - Subharmonic division of 3: Subharmonics 21-07
|
  0:          1/1               0.000000 unison, perfect prime
  1:         21/20             84.467193 minor semitone
  2:         21/19            173.267891
  3:          7/6             266.870906 septimal minor third
  4:         21/17            365.825498 submajor third
  5:         21/16            470.780907 narrow fourth
  6:          7/5             582.512193 septimal or Huygens' tritone, BP fourth
  7:          3/2             701.955001 perfect fifth
  8:         21/13            830.253246
  9:          7/4             968.825906 harmonic seventh
 10:         21/11           1119.462965 undecimal major seventh
 11:         21/10           1284.467193 minor semitone +1 octave
 12:          7/3            1466.870906 minimal tenth, BP tenth
 13:         21/8            1670.780907 narrow fourth +1 octave
 14:          3/1            1901.955001 perfect 12th
|
SD3 24-08 - Subharmonic division of 3: Subharmonics 24-08
|
  0:          1/1               0.000000 unison, perfect prime
  1:         24/23             73.680654 vicesimotertial minor semitone
  2:         12/11            150.637059 3/4-tone, undecimal neutral second
  3:          8/7             231.174094 septimal whole tone
  4:          6/5             315.641287 minor third
  5:         24/19            404.441985 smaller undevicesimal major third
  6:          4/3             498.044999 perfect fourth
  7:         24/17            596.999591 1st septendecimal tritone
  8:          3/2             701.955001 perfect fifth
  9:          8/5             813.686286 minor sixth
 10:         12/7             933.129094 septimal major sixth
 11:         24/13           1061.427339 tridecimal neutral seventh
 12:          2/1            1200.000000 octave
 13:         24/11           1350.637059 3/4-tone, undecimal neutral second +1 octave
 14:         12/5            1515.641287 minor 10th
 15:          8/3            1698.044999 perfect 11th
 16:          3/1            1901.955001 perfect 12th
|
SD3 27-09 - Subharmonic division of 3: Subharmonics 27-09
|
  0:          1/1               0.000000 unison, perfect prime
  1:         27/26             65.337341 tridecimal comma
  2:         27/25            133.237575 large limma, BP small semitone
  3:          9/8             203.910002 major whole tone
  4:         27/23            277.590655 vicesimotertial minor third
  5:         27/22            354.547060 neutral third, Zalzal wosta of al-Farabi
  6:          9/7             435.084095 septimal major third, BP third
  7:         27/20            519.551289 acute fourth
  8:         27/19            608.351986
  9:          3/2             701.955001 perfect fifth
 10:         27/17            800.909593 septendecimal minor sixth
 11:         27/16            905.865003 Pythagorean major sixth
 12:          9/5            1017.596288 just minor seventh, BP seventh
 13:         27/14           1137.039096 septimal major seventh
 14:         27/13           1265.337341 tridecimal comma +1 octave
 15:          9/4            1403.910002 major ninth
 16:         27/11           1554.547060 neutral third, Zalzal wosta of al-Farabi +1 octave
 17:         27/10           1719.551289 acute fourth +1 octave
 18:          3/1            1901.955001 perfect 12th
|
SD3 30-10 - Subharmonic division of 3: Subharmonics 30-10
|
  0:          1/1               0.000000 unison, perfect prime
  1:         30/29             58.691521
  2:         15/14            119.442808 major diatonic semitone
  3:         10/9             182.403712 minor whole tone
  4:         15/13            247.741053 tridecimal 5/4-tone
  5:          6/5             315.641287 minor third
  6:          5/4             386.313714 major third
  7:         30/23            459.994367
  8:         15/11            536.950772 undecimal augmented fourth
  9:         10/7             617.487807 Euler's tritone
 10:          3/2             701.955001 perfect fifth
 11:         30/19            790.755699 smaller undevicesimal minor sixth
 12:          5/3             884.358713 major sixth, BP sixth
 13:         30/17            983.313305 septendecimal minor seventh
 14:         15/8            1088.268715 classic major seventh
 15:          2/1            1200.000000 octave
 16:         15/7            1319.442808 septimal minor ninth, BP ninth
 17:         30/13           1447.741053 tridecimal 5/4-tone +1 octave
 18:          5/2            1586.313714 major 10th
 19:         30/11           1736.950772 undecimal augmented fourth +1 octave
 20:          3/1            1901.955001 perfect 12th
|
SD3 33-11 - Subharmonic division of 3: Subharmonics 33-11
|
  0:          1/1               0.000000 unison, perfect prime
  1:         33/32             53.272943 undecimal comma, al-Farabi's 1/4-tone
  2:         33/31            108.237371
  3:         11/10            165.004228 4/5-tone, Ptolemy's second
  4:         33/29            223.695749
  5:         33/28            284.447037 undecimal minor third
  6:         11/9             347.407941 undecimal neutral third
  7:         33/26            412.745281 tridecimal major third
  8:         33/25            480.645516 2 pentatones
  9:         11/8             551.317942 undecimal semi-augmented fourth
 10:         33/23            624.998596
 11:          3/2             701.955001 perfect fifth
 12:         11/7             782.492036 undecimal augmented fifth
 13:         33/20            866.959229
 14:         33/19            955.759927
 15:         11/6            1049.362941 21/4-tone, undecimal neutral seventh
 16:         33/17           1148.317534
 17:         33/16           1253.272943 undecimal comma, al-Farabi's 1/4-tone +1 octave
 18:         11/5            1365.004228 neutral ninth
 19:         33/14           1484.447037 undecimal minor third +1 octave
 20:         33/13           1612.745281 tridecimal major third +1 octave
 21:         11/4            1751.317942 undecimal semi-augmented fourth +1 octave
 22:          3/1            1901.955001 perfect 12th
|
SD3 36-12 - Subharmonic division of 3: Subharmonics 36-12
|
  0:          1/1               0.000000 unison, perfect prime
  1:         36/35             48.770381 septimal diesis, 1/4-tone
  2:         18/17             98.954592 Arabic lute index finger
  3:         12/11            150.637059 3/4-tone, undecimal neutral second
  4:          9/8             203.910002 major whole tone
  5:         36/31            258.874429
  6:          6/5             315.641287 minor third
  7:         36/29            374.332808
  8:          9/7             435.084095 septimal major third, BP third
  9:          4/3             498.044999 perfect fourth
 10:         18/13            563.382340 tridecimal augmented fourth
 11:         36/25            631.282574 classic diminished fifth
 12:          3/2             701.955001 perfect fifth
 13:         36/23            775.635654
 14:         18/11            852.592059 undecimal neutral sixth
 15:         12/7             933.129094 septimal major sixth
 16:          9/5            1017.596288 just minor seventh, BP seventh
 17:         36/19           1106.396986 smaller undevicesimal major seventh
 18:          2/1            1200.000000 octave
 19:         36/17           1298.954592 Arabic lute index finger +1 octave
 20:          9/4            1403.910002 major ninth
 21:         12/5            1515.641287 minor 10th
 22:         18/7            1635.084095 septimal major 10th
 23:         36/13           1763.382340 tridecimal augmented fourth +1 octave
 24:          3/1            1901.955001 perfect 12th
|
SD3 39-13 - Subharmonic division of 3: Subharmonics 39-13
|
  0:          1/1               0.000000 unison, perfect prime
  1:         39/38             44.969647
  2:         39/37             91.138624
  3:         13/12            138.572661 tridecimal 2/3-tone
  4:         39/35            187.343042
  5:         39/34            237.527253
  6:         13/11            289.209719 tridecimal minor third
  7:         39/32            342.482663 39th harmonic, Zalzal wosta of Ibn Sina
  8:         39/31            397.447090
  9:         13/10            454.213948 tridecimal semi-diminished fourth
 10:         39/29            512.905468
 11:         39/28            573.656756
 12:         13/9             636.617660 tridecimal diminished fifth
 13:          3/2             701.955001 perfect fifth
 14:         39/25            769.855235
 15:         13/8             840.527662 tridecimal neutral sixth
 16:         39/23            914.208315
 17:         39/22            991.164720
 18:         13/7            1071.701755 16/3-tone
 19:         39/20           1156.168949
 20:         39/19           1244.969647
 21:         13/6            1338.572661 tridecimal 2/3-tone +1 octave
 22:         39/17           1437.527253
 23:         39/16           1542.482663 39th harmonic, Zalzal wosta of Ibn Sina +1 octave
 24:         13/5            1654.213948 tridecimal semi-diminished fourth +1 octave
 25:         39/14           1773.656756
 26:          3/1            1901.955001 perfect 12th
|
SD3 42-14 - Subharmonic division of 3: Subharmonics 42-14
|
  0:          1/1               0.000000 unison, perfect prime
  1:         42/41             41.718502
  2:         21/20             84.467193 minor semitone
  3:         14/13            128.298245 2/3-tone
  4:         21/19            173.267891
  5:         42/37            219.436869
  6:          7/6             266.870906 septimal minor third
  7:          6/5             315.641287 minor third
  8:         21/17            365.825498 submajor third
  9:         14/11            417.507964 undecimal diminished fourth or major third
 10:         21/16            470.780907 narrow fourth
 11:         42/31            525.745335
 12:          7/5             582.512193 septimal or Huygens' tritone, BP fourth
 13:         42/29            641.203713
 14:          3/2             701.955001 perfect fifth
 15:         14/9             764.915905 septimal minor sixth
 16:         21/13            830.253246
 17:         42/25            898.153480 quasi-tempered major sixth
 18:          7/4             968.825906 harmonic seventh
 19:         42/23           1042.506560
 20:         21/11           1119.462965 undecimal major seventh
 21:          2/1            1200.000000 octave
 22:         21/10           1284.467193 minor semitone +1 octave
 23:         42/19           1373.267891
 24:          7/3            1466.870906 minimal tenth, BP tenth
 25:         42/17           1565.825498 submajor third +1 octave
 26:         21/8            1670.780907 narrow fourth +1 octave
 27:         14/5            1782.512193 septimal or Huygens' tritone, BP fourth +1 octave
 28:          3/1            1901.955001 perfect 12th
|
SD3 45-15 - Subharmonic division of 3: Subharmonics 45-15
|
  0:          1/1               0.000000 unison, perfect prime
  1:         45/44             38.905773 1/5-tone
  2:         45/43             78.706010
  3:         15/14            119.442808 major diatonic semitone
  4:         45/41            161.161310
  5:          9/8             203.910002 major whole tone
  6:         15/13            247.741053 tridecimal 5/4-tone
  7:         45/38            292.710699
  8:         45/37            338.879677
  9:          5/4             386.313714 major third
 10:          9/7             435.084095 septimal major third, BP third
 11:         45/34            485.268306
 12:         15/11            536.950772 undecimal augmented fourth
 13:         45/32            590.223716 diatonic tritone
 14:         45/31            645.188143
 15:          3/2             701.955001 perfect fifth
 16:         45/29            760.646521
 17:         45/28            821.397809
 18:          5/3             884.358713 major sixth, BP sixth
 19:         45/26            949.696054
 20:          9/5            1017.596288 just minor seventh, BP seventh
 21:         15/8            1088.268715 classic major seventh
 22:         45/23           1161.949368
 23:         45/22           1238.905773 1/5-tone +1 octave
 24:         15/7            1319.442808 septimal minor ninth, BP ninth
 25:          9/4            1403.910002 major ninth
 26:         45/19           1492.710699
 27:          5/2            1586.313714 major 10th
 28:         45/17           1685.268306
 29:         45/16           1790.223716 diatonic tritone +1 octave
 30:          3/1            1901.955001 perfect 12th
|
SD3 48-16 - Subharmonic division of 3: Subharmonics 48-16
|
  0:          1/1               0.000000 unison, perfect prime
  1:         48/47             36.448379
  2:         24/23             73.680654 vicesimotertial minor semitone
  3:         16/15            111.731285 minor diatonic semitone
  4:         12/11            150.637059 3/4-tone, undecimal neutral second
  5:         48/43            190.437295
  6:          8/7             231.174094 septimal whole tone
  7:         48/41            272.892595
  8:          6/5             315.641287 minor third
  9:         16/13            359.472338 tridecimal neutral third
 10:         24/19            404.441985 smaller undevicesimal major third
 11:         48/37            450.610962
 12:          4/3             498.044999 perfect fourth
 13:         48/35            546.815381 septimal semi-augmented fourth
 14:         24/17            596.999591 1st septendecimal tritone
 15:         16/11            648.682058 undecimal semi-diminished fifth
 16:          3/2             701.955001 perfect fifth
 17:         48/31            756.919428
 18:          8/5             813.686286 minor sixth
 19:         48/29            872.377807
 20:         12/7             933.129094 septimal major sixth
 21:         16/9             996.089998 Pythagorean minor seventh
 22:         24/13           1061.427339 tridecimal neutral seventh
 23:         48/25           1129.327573 classic diminished octave
 24:          2/1            1200.000000 octave
 25:         48/23           1273.680654 vicesimotertial minor semitone +1 octave
 26:         24/11           1350.637059 3/4-tone, undecimal neutral second +1 octave
 27:         16/7            1431.174094 septimal major ninth
 28:         12/5            1515.641287 minor 10th
 29:         48/19           1604.441985 smaller undevicesimal major third +1 octave
 30:          8/3            1698.044999 perfect 11th
 31:         48/17           1796.999591 1st septendecimal tritone +1 octave
 32:          3/1            1901.955001 perfect 12th
|
SD4 16-04 - Subharmonic division of 4: Subharmonics 16-04
|
  0:          1/1               0.000000 unison, perfect prime
  1:         16/15            111.731285 minor diatonic semitone
  2:          8/7             231.174094 septimal whole tone
  3:         16/13            359.472338 tridecimal neutral third
  4:          4/3             498.044999 perfect fourth
  5:         16/11            648.682058 undecimal semi-diminished fifth
  6:          8/5             813.686286 minor sixth
  7:         16/9             996.089998 Pythagorean minor seventh
  8:          2/1            1200.000000 octave
  9:         16/7            1431.174094 septimal major ninth
 10:          8/3            1698.044999 perfect 11th
 11:         16/5            2013.686286 minor 13th
 12:          4/1            2400.000000 2 octaves
|
SD4 20-05 - Subharmonic division of 4: Subharmonics 20-05
|
  0:          1/1               0.000000 unison, perfect prime
  1:         20/19             88.800698 small undevicesimal semitone
  2:         10/9             182.403712 minor whole tone
  3:         20/17            281.358304 septendecimal augmented second
  4:          5/4             386.313714 major third
  5:          4/3             498.044999 perfect fourth
  6:         10/7             617.487807 Euler's tritone
  7:         20/13            745.786052 tridecimal semi-augmented fifth
  8:          5/3             884.358713 major sixth, BP sixth
  9:         20/11           1034.995772 large minor seventh
 10:          2/1            1200.000000 octave
 11:         20/9            1382.403712 small ninth
 12:          5/2            1586.313714 major 10th
 13:         20/7            1817.487807 Euler's tritone +1 octave
 14:         10/3            2084.358713 major 13th
 15:          4/1            2400.000000 2 octaves
|
SD4 24-06 - Subharmonic division of 4: Subharmonics 24-06
|
  0:          1/1               0.000000 unison, perfect prime
  1:         24/23             73.680654 vicesimotertial minor semitone
  2:         12/11            150.637059 3/4-tone, undecimal neutral second
  3:          8/7             231.174094 septimal whole tone
  4:          6/5             315.641287 minor third
  5:         24/19            404.441985 smaller undevicesimal major third
  6:          4/3             498.044999 perfect fourth
  7:         24/17            596.999591 1st septendecimal tritone
  8:          3/2             701.955001 perfect fifth
  9:          8/5             813.686286 minor sixth
 10:         12/7             933.129094 septimal major sixth
 11:         24/13           1061.427339 tridecimal neutral seventh
 12:          2/1            1200.000000 octave
 13:         24/11           1350.637059 3/4-tone, undecimal neutral second +1 octave
 14:         12/5            1515.641287 minor 10th
 15:          8/3            1698.044999 perfect 11th
 16:          3/1            1901.955001 perfect 12th
 17:         24/7            2133.129094 septimal major 13th
 18:          4/1            2400.000000 2 octaves
|
SD4 28-07 - Subharmonic division of 4: Subharmonics 28-07
|
  0:          1/1               0.000000 unison, perfect prime
  1:         28/27             62.960904 Archytas' 1/3-tone
  2:         14/13            128.298245 2/3-tone
  3:         28/25            196.198479 middle second
  4:          7/6             266.870906 septimal minor third
  5:         28/23            340.551559
  6:         14/11            417.507964 undecimal diminished fourth or major third
  7:          4/3             498.044999 perfect fourth
  8:          7/5             582.512193 septimal or Huygens' tritone, BP fourth
  9:         28/19            671.312890
 10:         14/9             764.915905 septimal minor sixth
 11:         28/17            863.870497 submajor sixth
 12:          7/4             968.825906 harmonic seventh
 13:         28/15           1080.557192 grave major seventh
 14:          2/1            1200.000000 octave
 15:         28/13           1328.298245 2/3-tone +1 octave
 16:          7/3            1466.870906 minimal tenth, BP tenth
 17:         28/11           1617.507964 undecimal diminished fourth or major third +1 octave
 18:         14/5            1782.512193 septimal or Huygens' tritone, BP fourth +1 octave
 19:         28/9            1964.915905 septimal minor 13th
 20:          7/2            2168.825906 harmonic 14th
 21:          4/1            2400.000000 2 octaves
|
SD4 32-08 - Subharmonic division of 4: Subharmonics 32-08
|
  0:          1/1               0.000000 unison, perfect prime
  1:         32/31             54.964428 Greek enharmonic 1/4-tone
  2:         16/15            111.731285 minor diatonic semitone
  3:         32/29            170.422806 29th subharmonic
  4:          8/7             231.174094 septimal whole tone
  5:         32/27            294.134997 Pythagorean minor third
  6:         16/13            359.472338 tridecimal neutral third
  7:         32/25            427.372572 classic diminished fourth
  8:          4/3             498.044999 perfect fourth
  9:         32/23            571.725653 23rd subharmonic
 10:         16/11            648.682058 undecimal semi-diminished fifth
 11:         32/21            729.219093 wide fifth
 12:          8/5             813.686286 minor sixth
 13:         32/19            902.486984 19th subharmonic
 14:         16/9             996.089998 Pythagorean minor seventh
 15:         32/17           1095.044590 17th subharmonic
 16:          2/1            1200.000000 octave
 17:         32/15           1311.731285 minor ninth
 18:         16/7            1431.174094 septimal major ninth
 19:         32/13           1559.472338 tridecimal neutral third +1 octave
 20:          8/3            1698.044999 perfect 11th
 21:         32/11           1848.682058 undecimal semi-diminished fifth +1 octave
 22:         16/5            2013.686286 minor 13th
 23:         32/9            2196.089998 Pythagorean minor 14th
 24:          4/1            2400.000000 2 octaves
|
SD4 36-09 - Subharmonic division of 4: Subharmonics 36-09
|
  0:          1/1               0.000000 unison, perfect prime
  1:         36/35             48.770381 septimal diesis, 1/4-tone
  2:         18/17             98.954592 Arabic lute index finger
  3:         12/11            150.637059 3/4-tone, undecimal neutral second
  4:          9/8             203.910002 major whole tone
  5:         36/31            258.874429
  6:          6/5             315.641287 minor third
  7:         36/29            374.332808
  8:          9/7             435.084095 septimal major third, BP third
  9:          4/3             498.044999 perfect fourth
 10:         18/13            563.382340 tridecimal augmented fourth
 11:         36/25            631.282574 classic diminished fifth
 12:          3/2             701.955001 perfect fifth
 13:         36/23            775.635654
 14:         18/11            852.592059 undecimal neutral sixth
 15:         12/7             933.129094 septimal major sixth
 16:          9/5            1017.596288 just minor seventh, BP seventh
 17:         36/19           1106.396986 smaller undevicesimal major seventh
 18:          2/1            1200.000000 octave
 19:         36/17           1298.954592 Arabic lute index finger +1 octave
 20:          9/4            1403.910002 major ninth
 21:         12/5            1515.641287 minor 10th
 22:         18/7            1635.084095 septimal major 10th
 23:         36/13           1763.382340 tridecimal augmented fourth +1 octave
 24:          3/1            1901.955001 perfect 12th
 25:         36/11           2052.592059 undecimal neutral sixth +1 octave
 26:         18/5            2217.596288 minor 14th
 27:          4/1            2400.000000 2 octaves
|
SD4 40-10 - Subharmonic division of 4: Subharmonics 40-10
|
  0:          1/1               0.000000 unison, perfect prime
  1:         40/39             43.831051 tridecimal minor diesis
  2:         20/19             88.800698 small undevicesimal semitone
  3:         40/37            134.969675
  4:         10/9             182.403712 minor whole tone
  5:          8/7             231.174094 septimal whole tone
  6:         20/17            281.358304 septendecimal augmented second
  7:         40/33            333.040771
  8:          5/4             386.313714 major third
  9:         40/31            441.278141
 10:          4/3             498.044999 perfect fourth
 11:         40/29            556.736520
 12:         10/7             617.487807 Euler's tritone
 13:         40/27            680.448711 grave fifth
 14:         20/13            745.786052 tridecimal semi-augmented fifth
 15:          8/5             813.686286 minor sixth
 16:          5/3             884.358713 major sixth, BP sixth
 17:         40/23            958.039367
 18:         20/11           1034.995772 large minor seventh
 19:         40/21           1115.532807 acute major seventh
 20:          2/1            1200.000000 octave
 21:         40/19           1288.800698 small undevicesimal semitone +1 octave
 22:         20/9            1382.403712 small ninth
 23:         40/17           1481.358304 septendecimal augmented second +1 octave
 24:          5/2            1586.313714 major 10th
 25:          8/3            1698.044999 perfect 11th
 26:         20/7            1817.487807 Euler's tritone +1 octave
 27:         40/13           1945.786052 tridecimal semi-augmented fifth +1 octave
 28:         10/3            2084.358713 major 13th
 29:         40/11           2234.995772 large minor seventh +1 octave
 30:          4/1            2400.000000 2 octaves
|
SD4 44-11 - Subharmonic division of 4: Subharmonics 44-11
|
  0:          1/1               0.000000 unison, perfect prime
  1:         44/43             39.800237
  2:         22/21             80.537035 undecimal minor semitone
  3:         44/41            122.255537
  4:         11/10            165.004228 4/5-tone, Ptolemy's second
  5:         44/39            208.835280
  6:         22/19            253.804926
  7:         44/37            299.973904
  8:         11/9             347.407941 undecimal neutral third
  9:         44/35            396.178322
 10:         22/17            446.362533
 11:          4/3             498.044999 perfect fourth
 12:         11/8             551.317942 undecimal semi-augmented fourth
 13:         44/31            606.282370
 14:         22/15            663.049228 undecimal diminished fifth
 15:         44/29            721.740748
 16:         11/7             782.492036 undecimal augmented fifth
 17:         44/27            845.452940 neutral sixth
 18:         22/13            910.790281 tridecimal major sixth
 19:         44/25            978.690515 undecimal grave minor seventh
 20:         11/6            1049.362941 21/4-tone, undecimal neutral seventh
 21:         44/23           1123.043595
 22:          2/1            1200.000000 octave
 23:         44/21           1280.537035 undecimal minor semitone +1 octave
 24:         11/5            1365.004228 neutral ninth
 25:         44/19           1453.804926
 26:         22/9            1547.407941 undecimal neutral third +1 octave
 27:         44/17           1646.362533
 28:         11/4            1751.317942 undecimal semi-augmented fourth +1 octave
 29:         44/15           1863.049228 undecimal diminished fifth +1 octave
 30:         22/7            1982.492036 undecimal augmented fifth +1 octave
 31:         44/13           2110.790281 tridecimal major sixth +1 octave
 32:         11/3            2249.362941 21/4-tone, undecimal neutral seventh +1 octave
 33:          4/1            2400.000000 2 octaves
|
|
  0:          1/1               0.000000 unison, perfect prime
  1:         48/47             36.448379
  2:         24/23             73.680654 vicesimotertial minor semitone
  3:         16/15            111.731285 minor diatonic semitone
  4:         12/11            150.637059 3/4-tone, undecimal neutral second
  5:         48/43            190.437295
  6:          8/7             231.174094 septimal whole tone
  7:         48/41            272.892595
  8:          6/5             315.641287 minor third
  9:         16/13            359.472338 tridecimal neutral third
 10:         24/19            404.441985 smaller undevicesimal major third
 11:         48/37            450.610962
 12:          4/3             498.044999 perfect fourth
 13:         48/35            546.815381 septimal semi-augmented fourth
 14:         24/17            596.999591 1st septendecimal tritone
 15:         16/11            648.682058 undecimal semi-diminished fifth
 16:          3/2             701.955001 perfect fifth
 17:         48/31            756.919428
 18:          8/5             813.686286 minor sixth
 19:         48/29            872.377807
 20:         12/7             933.129094 septimal major sixth
 21:         16/9             996.089998 Pythagorean minor seventh
 22:         24/13           1061.427339 tridecimal neutral seventh
 23:         48/25           1129.327573 classic diminished octave
 24:          2/1            1200.000000 octave
 25:         48/23           1273.680654 vicesimotertial minor semitone +1 octave
 26:         24/11           1350.637059 3/4-tone, undecimal neutral second +1 octave
 27:         16/7            1431.174094 septimal major ninth
 28:         12/5            1515.641287 minor 10th
 29:         48/19           1604.441985 smaller undevicesimal major third +1 octave
 30:          8/3            1698.044999 perfect 11th
 31:         48/17           1796.999591 1st septendecimal tritone +1 octave
 32:          3/1            1901.955001 perfect 12th
 33:         16/5            2013.686286 minor 13th
 34:         24/7            2133.129094 septimal major 13th
 35:         48/13           2261.427339 tridecimal neutral seventh +1 octave
 36:          4/1            2400.000000 2 octaves
|
SD4 52-13 - Subharmonic division of 4: Subharmonics 52-13
|
  0:          1/1               0.000000 unison, perfect prime
  1:         52/51             33.617251
  2:         26/25             67.900234 tridecimal 1/3-tone
  3:         52/49            102.875849
  4:         13/12            138.572661 tridecimal 2/3-tone
  5:         52/47            175.021040
  6:         26/23            212.253315
  7:         52/45            250.303946
  8:         13/11            289.209719 tridecimal minor third
  9:         52/43            329.009956
 10:         26/21            369.746754
 11:         52/41            411.465256
 12:         13/10            454.213948 tridecimal semi-diminished fourth
 13:          4/3             498.044999 perfect fourth
 14:         26/19            543.014646
 15:         52/37            589.183623
 16:         13/9             636.617660 tridecimal diminished fifth
 17:         52/35            685.388041
 18:         26/17            735.572252
 19:         52/33            787.254719 tridecimal minor sixth
 20:         13/8             840.527662 tridecimal neutral sixth
 21:         52/31            895.492089
 22:         26/15            952.258947 tridecimal semi-augmented sixth
 23:         52/29           1010.950468
 24:         13/7            1071.701755 16/3-tone
 25:         52/27           1134.662659
 26:          2/1            1200.000000 octave
 27:         52/25           1267.900234 tridecimal 1/3-tone +1 octave
 28:         13/6            1338.572661 tridecimal 2/3-tone +1 octave
 29:         52/23           1412.253315
 30:         26/11           1489.209719 tridecimal minor third +1 octave
 31:         52/21           1569.746754
 32:         13/5            1654.213948 tridecimal semi-diminished fourth +1 octave
 33:         52/19           1743.014646
 34:         26/9            1836.617660 tridecimal diminished fifth +1 octave
 35:         52/17           1935.572252
 36:         13/4            2040.527662 tridecimal neutral sixth +1 octave
 37:         52/15           2152.258947 tridecimal semi-augmented sixth +1 octave
 38:         26/7            2271.701755 16/3-tone +1 octave
 39:          4/1            2400.000000 2 octaves
|
SD4 56-14 - Subharmonic division of 4: Subharmonics 56-14
|
  0:          1/1               0.000000 unison, perfect prime
  1:         56/55             31.194250 undecimal diesis
  2:         28/27             62.960904 Archytas' 1/3-tone
  3:         56/53             95.321361
  4:         14/13            128.298245 2/3-tone
  5:         56/51            161.915496
  6:         28/25            196.198479 middle second
  7:          8/7             231.174094 septimal whole tone
  8:          7/6             266.870906 septimal minor third
  9:         56/47            303.319284
 10:         28/23            340.551559
 11:         56/45            378.602191
 12:         14/11            417.507964 undecimal diminished fourth or major third
 13:         56/43            457.308201
 14:          4/3             498.044999 perfect fourth
 15:         56/41            539.763501
 16:          7/5             582.512193 septimal or Huygens' tritone, BP fourth
 17:         56/39            626.343244
 18:         28/19            671.312890
 19:         56/37            717.481868
 20:         14/9             764.915905 septimal minor sixth
 21:          8/5             813.686286 minor sixth
 22:         28/17            863.870497 submajor sixth
 23:         56/33            915.552963
 24:          7/4             968.825906 harmonic seventh
 25:         56/31           1023.790334
 26:         28/15           1080.557192 grave major seventh
 27:         56/29           1139.248712
 28:          2/1            1200.000000 octave
 29:         56/27           1262.960904 Archytas' 1/3-tone +1 octave
 30:         28/13           1328.298245 2/3-tone +1 octave
 31:         56/25           1396.198479 middle second +1 octave
 32:          7/3            1466.870906 minimal tenth, BP tenth
 33:         56/23           1540.551559
 34:         28/11           1617.507964 undecimal diminished fourth or major third +1 octave
 35:          8/3            1698.044999 perfect 11th
 36:         14/5            1782.512193 septimal or Huygens' tritone, BP fourth +1 octave
 37:         56/19           1871.312890
 38:         28/9            1964.915905 septimal minor 13th
 39:         56/17           2063.870497 submajor sixth +1 octave
 40:          7/2            2168.825906 harmonic 14th
 41:         56/15           2280.557192 grave major seventh +1 octave
 42:          4/1            2400.000000 2 octaves
|
SD4 60-15 - Subharmonic division of 4: Subharmonics 60-15
|
  0:          1/1               0.000000 unison, perfect prime
  1:         60/59             29.097055
  2:         30/29             58.691521
  3:         20/19             88.800698 small undevicesimal semitone
  4:         15/14            119.442808 major diatonic semitone
  5:         12/11            150.637059 3/4-tone, undecimal neutral second
  6:         10/9             182.403712 minor whole tone
  7:         60/53            214.764169
  8:         15/13            247.741053 tridecimal 5/4-tone
  9:         20/17            281.358304 septendecimal augmented second
 10:          6/5             315.641287 minor third
 11:         60/49            350.616902 smaller approximation to neutral third
 12:          5/4             386.313714 major third
 13:         60/47            422.762093
 14:         30/23            459.994367
 15:          4/3             498.044999 perfect fourth
 16:         15/11            536.950772 undecimal augmented fourth
 17:         60/43            576.751009
 18:         10/7             617.487807 Euler's tritone
 19:         60/41            659.206309
 20:          3/2             701.955001 perfect fifth
 21:         20/13            745.786052 tridecimal semi-augmented fifth
 22:         30/19            790.755699 smaller undevicesimal minor sixth
 23:         60/37            836.924676
 24:          5/3             884.358713 major sixth, BP sixth
 25:         12/7             933.129094 septimal major sixth
 26:         30/17            983.313305 septendecimal minor seventh
 27:         20/11           1034.995772 large minor seventh
 28:         15/8            1088.268715 classic major seventh
 29:         60/31           1143.233142
 30:          2/1            1200.000000 octave
 31:         60/29           1258.691521
 32:         15/7            1319.442808 septimal minor ninth, BP ninth
 33:         20/9            1382.403712 small ninth
 34:         30/13           1447.741053 tridecimal 5/4-tone +1 octave
 35:         12/5            1515.641287 minor 10th
 36:          5/2            1586.313714 major 10th
 37:         60/23           1659.994367
 38:         30/11           1736.950772 undecimal augmented fourth +1 octave
 39:         20/7            1817.487807 Euler's tritone +1 octave
 40:          3/1            1901.955001 perfect 12th
 41:         60/19           1990.755699 smaller undevicesimal minor sixth +1 octave
 42:         10/3            2084.358713 major 13th
 43:         60/17           2183.313305 septendecimal minor seventh +1 octave
 44:         15/4            2288.268715 classic major 14th
 45:          4/1            2400.000000 2 octaves
|
SD4 64-16 - Subharmonic division of 4: Subharmonics 64-16
|
  0:          1/1               0.000000 unison, perfect prime
  1:         64/63             27.264092 septimal comma, Archytas' comma
  2:         32/31             54.964428 Greek enharmonic 1/4-tone
  3:         64/61             83.115195
  4:         16/15            111.731285 minor diatonic semitone
  5:         64/59            140.828341
  6:         32/29            170.422806 29th subharmonic
  7:         64/57            200.531983
  8:          8/7             231.174094 septimal whole tone
  9:         64/55            262.368344
 10:         32/27            294.134997 Pythagorean minor third
 11:         64/53            326.495455
 12:         16/13            359.472338 tridecimal neutral third
 13:         64/51            393.089590
 14:         32/25            427.372572 classic diminished fourth
 15:         64/49            462.348187 2 septatones or septatonic major third
 16:          4/3             498.044999 perfect fourth
 17:         64/47            534.493378
 18:         32/23            571.725653 23rd subharmonic
 19:         64/45            609.776284 2nd tritone
 20:         16/11            648.682058 undecimal semi-diminished fifth
 21:         64/43            688.482294
 22:         32/21            729.219093 wide fifth
 23:         64/41            770.937594
 24:          8/5             813.686286 minor sixth
 25:         64/39            857.517337 39th subharmonic
 26:         32/19            902.486984 19th subharmonic
 27:         64/37            948.655961 37th subharmonic
 28:         16/9             996.089998 Pythagorean minor seventh
 29:         64/35           1044.860380 septimal neutral seventh
 30:         32/17           1095.044590 17th subharmonic
 31:         64/33           1146.727057 33rd subharmonic
 32:          2/1            1200.000000 octave
 33:         64/31           1254.964428 Greek enharmonic 1/4-tone +1 octave
 34:         32/15           1311.731285 minor ninth
 35:         64/29           1370.422806 29th subharmonic +1 octave
 36:         16/7            1431.174094 septimal major ninth
 37:         64/27           1494.134997 Pythagorean minor third +1 octave
 38:         32/13           1559.472338 tridecimal neutral third +1 octave
 39:         64/25           1627.372572 classic diminished 11th
 40:          8/3            1698.044999 perfect 11th
 41:         64/23           1771.725653 23rd subharmonic +1 octave
 42:         32/11           1848.682058 undecimal semi-diminished fifth +1 octave
 43:         64/21           1929.219093 wide fifth +1 octave
 44:         16/5            2013.686286 minor 13th
 45:         64/19           2102.486984 19th subharmonic +1 octave
 46:         32/9            2196.089998 Pythagorean minor 14th
 47:         64/17           2295.044590 17th subharmonic +1 octave
 48:          4/1            2400.000000 2 octaves

