Scala analysis: xen15-gilson-generalized-pythagorean-15-8-32

Generalized Pythagorean Scale, 15/8 stacked 32=29+3 times

Generated by Scala: https://www.huygens-fokker.org/scala/

SHOW
  0:          1/1               0.000000 unison, perfect prime
  1:         53.643 cents      53.643009
  2:         82.687 cents      82.687147
  3:        136.330 cents     136.330157
  4:        165.374 cents     165.374295
  5:        194.418 cents     194.418433
  6:        248.061 cents     248.061442
  7:        277.106 cents     277.105580
  8:        306.150 cents     306.149718
  9:        359.793 cents     359.792727
 10:        388.837 cents     388.836865
 11:  170859375/134217728     417.881003
 12:        471.524 cents     471.524012
 13:        500.568 cents     500.568150
 14:   11390625/8388608       529.612288
 15:        583.255 cents     583.255298
 16:        612.299 cents     612.299436
 17:     759375/524288        641.343574
 18:        694.987 cents     694.986583
 19:        724.031 cents     724.030721
 20:      50625/32768         753.074859
 21:        806.718 cents     806.717868
 22:        835.762 cents     835.762006
 23:       3375/2048          864.806144 double augmented fifth
 24:        918.449 cents     918.449154
 25:        947.493 cents     947.493291
 26:        225/128           976.537429 augmented sixth
 27:       1030.180 cents    1030.180439
 28:       1059.225 cents    1059.224577
 29:         15/8            1088.268715 classic major seventh
 30:       1141.912 cents    1141.911724
 31:       1170.956 cents    1170.955862
 32:          2/1            1200.000000 octave
SHOW/INTERVAL
  0:         29.0441 cents     29.0441
  1:         53.6430 cents     53.6430
  2:         29.0441 cents     29.0441
  3:         53.6430 cents     53.6430
  4:         29.0441 cents     29.0441
  5:         29.0441 cents     29.0441
  6:         53.6430 cents     53.6430
  7:         29.0441 cents     29.0441
  8:         29.0441 cents     29.0441
  9:         53.6430 cents     53.6430
 10:         29.0441 cents     29.0441
 11:         29.0441 cents     29.0441
 12:         53.6430 cents     53.6430
 13:         29.0441 cents     29.0441
 14:         29.0441 cents     29.0441
 15:         53.6430 cents     53.6430
 16:         29.0441 cents     29.0441
 17:         29.0441 cents     29.0441
 18:         53.6430 cents     53.6430
 19:         29.0441 cents     29.0441
 20:         29.0441 cents     29.0441
 21:         53.6430 cents     53.6430
 22:         29.0441 cents     29.0441
 23:         29.0441 cents     29.0441
 24:         53.6430 cents     53.6430
 25:         29.0441 cents     29.0441
 26:         29.0441 cents     29.0441
 27:         53.6430 cents     53.6430
 28:         29.0441 cents     29.0441
 29:         29.0441 cents     29.0441
 30:         53.6430 cents     53.6430
 31:         29.0441 cents     29.0441
 32:         29.0441 cents     29.0441
SHOW INTERVALS
Interval class, Number of incidences, Size:
  1:  21 29.04414 cents
  1:  11 53.64301 cents
  2:  10 58.08828 cents
  2:  22 82.68715 cents
  3:  31 111.73129 cents
  3:   1 136.33016 cents
  4:  20 140.77542 cents
  4:  12 165.37429 cents
  5:   9 169.81956 cents
  5:  23 194.41843 cents
  6:  30 223.46257 cents
  6:   2 248.06144 cents
  7:  19 252.50671 cents
  7:  13 277.10558 cents
  8:   8 281.55085 cents
  8:  24 306.14972 cents
  9:  29 335.19386 cents
  9:   3 359.79273 cents
 10:  18 364.23799 cents
 10:  14 388.83686 cents
 11:   7 393.28213 cents
 11:  25 170859375/134217728 417.881 cents  
 12:  28 446.92514 cents
 12:   4 471.52401 cents
 13:  17 475.96928 cents
 13:  15 500.56815 cents
 14:   6 505.01342 cents
 14:  26 11390625/8388608    529.612 cents  
 15:  27 558.65643 cents
 15:   5 583.25530 cents
 16:  16 587.70056 cents
 16:  16 612.29944 cents
 17:   5 616.74470 cents
 17:  27 759375/524288       641.344 cents  
 18:  26 670.38771 cents
 18:   6 694.98658 cents
 19:  15 699.43185 cents
 19:  17 724.03072 cents
 20:   4 728.47599 cents
 20:  28 50625/32768         753.075 cents  
 21:  25 782.11900 cents
 21:   7 806.71787 cents
 22:  14 811.16314 cents
 22:  18 835.76201 cents
 23:   3 840.20727 cents
 23:  29 3375/2048           864.806 cents  double augmented fifth
 24:  24 893.85028 cents
 24:   8 918.44915 cents
 25:  13 922.89442 cents
 25:  19 947.49329 cents
 26:   2 951.93856 cents
 26:  30 225/128             976.537 cents  augmented sixth
 27:  23 1005.58157 cents
 27:   9 1030.18044 cents
 28:  12 1034.62571 cents
 28:  20 1059.22458 cents
 29:   1 1063.66984 cents
 29:  31 15/8                1088.269 cents classic major seventh
 30:  22 1117.31285 cents
 30:  10 1141.91172 cents
 31:  11 1146.35699 cents
 31:  21 1170.95586 cents
Highest number of different intervals for one interval class: 2
Average number of different intervals per interval class: 2.00000 = 2
SHOW/LINE/CENTS INTERVALS
         1    2    3     4     5     6     7     8     9     10    11    12    13    14    15    16    17    18    19    20   
 21    22    23    24    25    26    27     28     29     30     31     32    
 0.0   : 53.6 82.7 136.3 165.4 194.4 248.1 277.1 306.1 359.8 388.8 417.9 471.5 500.6 529.6 583.3 612.3 641.3 695.0 724.0 753.1
 806.7 835.8 864.8 918.4 947.5 976.5 1030.2 1059.2 1088.3 1141.9 1171.0 1200.0
 53.6  : 29.0 82.7 111.7 140.8 194.4 223.5 252.5 306.1 335.2 364.2 417.9 446.9 476.0 529.6 558.7 587.7 641.3 670.4 699.4 753.1
 782.1 811.2 864.8 893.9 922.9 976.5 1005.6 1034.6 1088.3 1117.3 1146.4 1200.0
 82.7  : 53.6 82.7 111.7 165.4 194.4 223.5 277.1 306.1 335.2 388.8 417.9 446.9 500.6 529.6 558.7 612.3 641.3 670.4 724.0 753.1
 782.1 835.8 864.8 893.9 947.5 976.5 1005.6 1059.2 1088.3 1117.3 1171.0 1200.0
 136.3 : 29.0 58.1 111.7 140.8 169.8 223.5 252.5 281.6 335.2 364.2 393.3 446.9 476.0 505.0 558.7 587.7 616.7 670.4 699.4 728.5
 782.1 811.2 840.2 893.9 922.9 951.9 1005.6 1034.6 1063.7 1117.3 1146.4 1200.0
 165.4 : 29.0 82.7 111.7 140.8 194.4 223.5 252.5 306.1 335.2 364.2 417.9 446.9 476.0 529.6 558.7 587.7 641.3 670.4 699.4 753.1
 782.1 811.2 864.8 893.9 922.9 976.5 1005.6 1034.6 1088.3 1117.3 1171.0 1200.0
 194.4 : 53.6 82.7 111.7 165.4 194.4 223.5 277.1 306.1 335.2 388.8 417.9 446.9 500.6 529.6 558.7 612.3 641.3 670.4 724.0 753.1
 782.1 835.8 864.8 893.9 947.5 976.5 1005.6 1059.2 1088.3 1141.9 1171.0 1200.0
 248.1 : 29.0 58.1 111.7 140.8 169.8 223.5 252.5 281.6 335.2 364.2 393.3 446.9 476.0 505.0 558.7 587.7 616.7 670.4 699.4 728.5
 782.1 811.2 840.2 893.9 922.9 951.9 1005.6 1034.6 1088.3 1117.3 1146.4 1200.0
 277.1 : 29.0 82.7 111.7 140.8 194.4 223.5 252.5 306.1 335.2 364.2 417.9 446.9 476.0 529.6 558.7 587.7 641.3 670.4 699.4 753.1
 782.1 811.2 864.8 893.9 922.9 976.5 1005.6 1059.2 1088.3 1117.3 1171.0 1200.0
 306.1 : 53.6 82.7 111.7 165.4 194.4 223.5 277.1 306.1 335.2 388.8 417.9 446.9 500.6 529.6 558.7 612.3 641.3 670.4 724.0 753.1
 782.1 835.8 864.8 893.9 947.5 976.5 1030.2 1059.2 1088.3 1141.9 1171.0 1200.0
 359.8 : 29.0 58.1 111.7 140.8 169.8 223.5 252.5 281.6 335.2 364.2 393.3 446.9 476.0 505.0 558.7 587.7 616.7 670.4 699.4 728.5
 782.1 811.2 840.2 893.9 922.9 976.5 1005.6 1034.6 1088.3 1117.3 1146.4 1200.0
 388.8 : 29.0 82.7 111.7 140.8 194.4 223.5 252.5 306.1 335.2 364.2 417.9 446.9 476.0 529.6 558.7 587.7 641.3 670.4 699.4 753.1
 782.1 811.2 864.8 893.9 947.5 976.5 1005.6 1059.2 1088.3 1117.3 1171.0 1200.0
 417.9 : 53.6 82.7 111.7 165.4 194.4 223.5 277.1 306.1 335.2 388.8 417.9 446.9 500.6 529.6 558.7 612.3 641.3 670.4 724.0 753.1
 782.1 835.8 864.8 918.4 947.5 976.5 1030.2 1059.2 1088.3 1141.9 1171.0 1200.0
 471.5 : 29.0 58.1 111.7 140.8 169.8 223.5 252.5 281.6 335.2 364.2 393.3 446.9 476.0 505.0 558.7 587.7 616.7 670.4 699.4 728.5
 782.1 811.2 864.8 893.9 922.9 976.5 1005.6 1034.6 1088.3 1117.3 1146.4 1200.0
 500.6 : 29.0 82.7 111.7 140.8 194.4 223.5 252.5 306.1 335.2 364.2 417.9 446.9 476.0 529.6 558.7 587.7 641.3 670.4 699.4 753.1
 782.1 835.8 864.8 893.9 947.5 976.5 1005.6 1059.2 1088.3 1117.3 1171.0 1200.0
 529.6 : 53.6 82.7 111.7 165.4 194.4 223.5 277.1 306.1 335.2 388.8 417.9 446.9 500.6 529.6 558.7 612.3 641.3 670.4 724.0 753.1
 806.7 835.8 864.8 918.4 947.5 976.5 1030.2 1059.2 1088.3 1141.9 1171.0 1200.0
 583.3 : 29.0 58.1 111.7 140.8 169.8 223.5 252.5 281.6 335.2 364.2 393.3 446.9 476.0 505.0 558.7 587.7 616.7 670.4 699.4 753.1
 782.1 811.2 864.8 893.9 922.9 976.5 1005.6 1034.6 1088.3 1117.3 1146.4 1200.0
 612.3 : 29.0 82.7 111.7 140.8 194.4 223.5 252.5 306.1 335.2 364.2 417.9 446.9 476.0 529.6 558.7 587.7 641.3 670.4 724.0 753.1
 782.1 835.8 864.8 893.9 947.5 976.5 1005.6 1059.2 1088.3 1117.3 1171.0 1200.0
 641.3 : 53.6 82.7 111.7 165.4 194.4 223.5 277.1 306.1 335.2 388.8 417.9 446.9 500.6 529.6 558.7 612.3 641.3 695.0 724.0 753.1
 806.7 835.8 864.8 918.4 947.5 976.5 1030.2 1059.2 1088.3 1141.9 1171.0 1200.0
 695.0 : 29.0 58.1 111.7 140.8 169.8 223.5 252.5 281.6 335.2 364.2 393.3 446.9 476.0 505.0 558.7 587.7 641.3 670.4 699.4 753.1
 782.1 811.2 864.8 893.9 922.9 976.5 1005.6 1034.6 1088.3 1117.3 1146.4 1200.0
 724.0 : 29.0 82.7 111.7 140.8 194.4 223.5 252.5 306.1 335.2 364.2 417.9 446.9 476.0 529.6 558.7 612.3 641.3 670.4 724.0 753.1
 782.1 835.8 864.8 893.9 947.5 976.5 1005.6 1059.2 1088.3 1117.3 1171.0 1200.0
 753.1 : 53.6 82.7 111.7 165.4 194.4 223.5 277.1 306.1 335.2 388.8 417.9 446.9 500.6 529.6 583.3 612.3 641.3 695.0 724.0 753.1
 806.7 835.8 864.8 918.4 947.5 976.5 1030.2 1059.2 1088.3 1141.9 1171.0 1200.0
 806.7 : 29.0 58.1 111.7 140.8 169.8 223.5 252.5 281.6 335.2 364.2 393.3 446.9 476.0 529.6 558.7 587.7 641.3 670.4 699.4 753.1
 782.1 811.2 864.8 893.9 922.9 976.5 1005.6 1034.6 1088.3 1117.3 1146.4 1200.0
 835.8 : 29.0 82.7 111.7 140.8 194.4 223.5 252.5 306.1 335.2 364.2 417.9 446.9 500.6 529.6 558.7 612.3 641.3 670.4 724.0 753.1
 782.1 835.8 864.8 893.9 947.5 976.5 1005.6 1059.2 1088.3 1117.3 1171.0 1200.0
 864.8 : 53.6 82.7 111.7 165.4 194.4 223.5 277.1 306.1 335.2 388.8 417.9 471.5 500.6 529.6 583.3 612.3 641.3 695.0 724.0 753.1
 806.7 835.8 864.8 918.4 947.5 976.5 1030.2 1059.2 1088.3 1141.9 1171.0 1200.0
 918.4 : 29.0 58.1 111.7 140.8 169.8 223.5 252.5 281.6 335.2 364.2 417.9 446.9 476.0 529.6 558.7 587.7 641.3 670.4 699.4 753.1
 782.1 811.2 864.8 893.9 922.9 976.5 1005.6 1034.6 1088.3 1117.3 1146.4 1200.0
 947.5 : 29.0 82.7 111.7 140.8 194.4 223.5 252.5 306.1 335.2 388.8 417.9 446.9 500.6 529.6 558.7 612.3 641.3 670.4 724.0 753.1
 782.1 835.8 864.8 893.9 947.5 976.5 1005.6 1059.2 1088.3 1117.3 1171.0 1200.0
 976.5 : 53.6 82.7 111.7 165.4 194.4 223.5 277.1 306.1 359.8 388.8 417.9 471.5 500.6 529.6 583.3 612.3 641.3 695.0 724.0 753.1
 806.7 835.8 864.8 918.4 947.5 976.5 1030.2 1059.2 1088.3 1141.9 1171.0 1200.0
 1030.2: 29.0 58.1 111.7 140.8 169.8 223.5 252.5 306.1 335.2 364.2 417.9 446.9 476.0 529.6 558.7 587.7 641.3 670.4 699.4 753.1
 782.1 811.2 864.8 893.9 922.9 976.5 1005.6 1034.6 1088.3 1117.3 1146.4 1200.0
 1059.2: 29.0 82.7 111.7 140.8 194.4 223.5 277.1 306.1 335.2 388.8 417.9 446.9 500.6 529.6 558.7 612.3 641.3 670.4 724.0 753.1
 782.1 835.8 864.8 893.9 947.5 976.5 1005.6 1059.2 1088.3 1117.3 1171.0 1200.0
 1088.3: 53.6 82.7 111.7 165.4 194.4 248.1 277.1 306.1 359.8 388.8 417.9 471.5 500.6 529.6 583.3 612.3 641.3 695.0 724.0 753.1
 806.7 835.8 864.8 918.4 947.5 976.5 1030.2 1059.2 1088.3 1141.9 1171.0 1200.0
 1141.9: 29.0 58.1 111.7 140.8 194.4 223.5 252.5 306.1 335.2 364.2 417.9 446.9 476.0 529.6 558.7 587.7 641.3 670.4 699.4 753.1
 782.1 811.2 864.8 893.9 922.9 976.5 1005.6 1034.6 1088.3 1117.3 1146.4 1200.0
 1171.0: 29.0 82.7 111.7 165.4 194.4 223.5 277.1 306.1 335.2 388.8 417.9 446.9 500.6 529.6 558.7 612.3 641.3 670.4 724.0 753.1
 782.1 835.8 864.8 893.9 947.5 976.5 1005.6 1059.2 1088.3 1117.3 1171.0 1200.0
 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class:
  1:  29.0441   .. 53.6430 cents       24.59887 cents                     29.04414 cents
  2:  58.0883   .. 82.6871 cents       24.59887 cents                     4.44527 cents
  3:  111.7313  .. 136.3302 cents      24.59887 cents                     29.04414 cents
  4:  140.7754  .. 165.3743 cents      24.59887 cents                     4.44527 cents
  5:  169.8196  .. 194.4184 cents      24.59887 cents                     4.44527 cents
  6:  223.4626  .. 248.0614 cents      24.59887 cents                     29.04414 cents
  7:  252.5067  .. 277.1056 cents      24.59887 cents                     4.44527 cents
  8:  281.5508  .. 306.1497 cents      24.59887 cents                     4.44527 cents
  9:  335.1939  .. 359.7927 cents      24.59887 cents                     29.04414 cents
 10:  364.2380  .. 388.8369 cents      24.59887 cents                     4.44527 cents
 11:  393.2821  .. 417.8810 cents      24.59887 cents                     4.44527 cents
 12:  446.9251  .. 471.5240 cents      24.59887 cents                     29.04414 cents
 13:  475.9693  .. 500.5681 cents      24.59887 cents                     4.44527 cents
 14:  505.0134  .. 529.6123 cents      24.59887 cents                     4.44527 cents
 15:  558.6564  .. 583.2553 cents      24.59887 cents                     29.04414 cents
 16:  587.7006  .. 612.2994 cents      24.59887 cents                     4.44527 cents
 17:  616.7447  .. 641.3436 cents      24.59887 cents                     4.44527 cents
 18:  670.3877  .. 694.9866 cents      24.59887 cents                     29.04414 cents
 19:  699.4318  .. 724.0307 cents      24.59887 cents                     4.44527 cents
 20:  728.4760  .. 753.0749 cents      24.59887 cents                     4.44527 cents
 21:  782.1190  .. 806.7179 cents      24.59887 cents                     29.04414 cents
 22:  811.1631  .. 835.7620 cents      24.59887 cents                     4.44527 cents
 23:  840.2073  .. 864.8061 cents      24.59887 cents                     4.44527 cents
 24:  893.8503  .. 918.4492 cents      24.59887 cents                     29.04414 cents
 25:  922.8944  .. 947.4933 cents      24.59887 cents                     4.44527 cents
 26:  951.9386  .. 976.5374 cents      24.59887 cents                     4.44527 cents
 27:  1005.5816 .. 1030.1804 cents     24.59887 cents                     29.04414 cents
 28:  1034.6257 .. 1059.2246 cents     24.59887 cents                     4.44527 cents
 29:  1063.6698 .. 1088.2687 cents     24.59887 cents                     4.44527 cents
 30:  1117.3129 .. 1141.9117 cents     24.59887 cents                     29.04414 cents
 31:  1146.3570 .. 1170.9559 cents     24.59887 cents                     4.44527 cents
SHOW DATA
Number of notes                     : 32
-- Interval properties --
Smallest interval                   : 29.04414 cents, class 1
Average step (divided formal octave): 37.5000 cents
Largest one step interval           : 53.64301 cents
Average / Smallest step             : 1.291138
Largest / Average step              : 1.430480
Largest / Smallest step             : 1.846948
Median interval of one step         : 29.04414 cents, amount: 21
Most common interval of one step    : 29.04414 cents, amount: 21
Least squares average step          : 37.98488 cents, oct.:  1215.51621 cents
Scale is strictly proper
Scale has Myhill's property
  chromas: 24.59887 cents and 4.44527 cents, ratio: 5.533722
  generators: 111.73129 cents and 29 of 1088.26871 cents
ET pair of linear temperament       : 10&11
Scale is maximally even for L / S <= 2
Scale is distributional even
Step pattern alph. order: ABABBABBABBABBABBABBABBABBABBABB
Step pattern size order : LSLSSLSSLSSLSSLSSLSSLSSLSSLSSLSS
Scale is a Constant Structure, by a margin of 4.44527 cents
Scale diversity                     : 1.124039
Rothenberg stability                : 1.000000 = 1
Lumma stability                     : 0.364529
Rothenberg efficiency               : 0.687500   redundancy: 0.312500
Efficiency x scale size             : 22.000000
Number of different interval sizes  : 62 = 2.00000 / class
Number of one step interval sizes   : 2
Highest interval variety            : 2
Mean interval variety               : 2.00000 = 2
Median interval variety             : 2
Lowest interval variety             : 2
Smallest interval difference        : 4.44527 cents
Most common intervals               : 111.73129 cents & inv., amount: 31
Scale is a chain of 16 triads 0.0 612.299 1088.269 cents
Most common triad is 0.0 111.731 1088.269 cents, amount: 30
Number of recognisable fifths       : 21, average 698.1618 cents
Formal octave complements present   : 1 = 3.1250%
Scale is n-1 differentially coherent in interval classes 2 and 3 combined
Scale is n-1 differentially coherent in interval class 3
Limited inverse transpositions      :
 3
Inversional symmetry on intervals   :
 1-2 17-18
-- Rational properties --
Prime limit                         : 5 (not all pitches rational)
FIT/MODE
 32:  1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1  SP B ME I SD: 13.8689 c. M: 23.8302 c. 
 33:  1 1 2 1 0 2 1 0 2 1 0 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1   N   D3   SD: 9.9647 c. M: 17.8810 c. 
 34:  2 0 2 1 1 1 1 1 1 1 1 1 1 1 2 0 1 2 1 0 2 1 1 1 1 1 1 1 1 1 1 1   N   D3   SD: 10.0755 c. M:-17.5468 c. 
 35:  2 0 2 1 1 1 1 1 1 1 1 2 1 0 2 1 1 1 1 1 2 0 1 2 1 0 2 1 1 1 1 1   N   D3   SD: 9.7713 c. M: 16.9356 c. 
 37:  2 1 1 1 1 2 1 0 2 1 1 2 0 1 2 1 1 1 1 1 2 1 1 1 1 1 2 1 1 1 1 1   N   D3   SD: 9.2432 c. M:-14.9625 c. 
 43:  2 1 2 1 1 2 1 1 2 1 1 2 1 1 2 1 1 2 1 1 2 1 1 2 1 1 2 1 1 2 1 1   P M ME   SD: 1.8651 c. M:-3.2047 c. 
 161: 7 4 7 4 4 7 4 4 7 4 4 7 4 4 7 4 4 7 4 4 7 4 4 7 4 4 7 4 4 7 4 4  SP M DE   SD: 1.2621 c. M: 2.1687 c. 
 204: 9 5 9 5 5 9 5 5 9 5 5 9 5 5 9 5 5 9 5 5 9 5 5 9 5 5 9 5 5 9 5 5  SP M DE   SD: 0.6030 c. M: 1.0360 c. 
 247: 11 6 11 6 6 11 6 6 11 6 6 11 6 6 11 6 6 11 6 6 11 6 6 11 6 6 11 6 6 11 6 6  SP M DE   SD: 0.1733 c. M: 0.2978 c. 
 290: 13 7 13 7 7 13 7 7 13 7 7 13 7 7 13 7 7 13 7 7 13 7 7 13 7 7 13 7 7 13 7 7  SP M DE   SD: 0.1289 c. M:-0.2216 c. 
 537: 24 13 24 13 13 24 13 13 24 13 13 24 13 13 24 13 13 24 13 13 24 13 13 24 13 13 24 13 13 24 13 13  SP M DE   SD: 0.0101 c. M: 0.0173 c. 
 2438: 109 59 109 59 59 109 59 59 109 59 59 109 59 59 109 59 59 109 59 59 109 59 59 109 59 59 109 59 59 109 59 59  SP M DE   SD: 0.0065 c. M:-0.0111 c. 
FIT/HARMONIC
 1 .. 2  match: 1  H SD: 0.0000 cents
 2 .. 4  match: 2  H SD: 3.4842 cents
 3 .. 6  match: 3  H SD: 6.5716 cents
 4 .. 8  match: 4  H SD: 2.6739 cents
 5 .. 10  match: 5  H SD: 3.4500 cents
 6 .. 12  match: 6  H SD: 4.2138 cents
 7 .. 14  match: 7  H SD: 5.6369 cents
 8 .. 16  match: 8  H SD: 3.3032 cents
 9 .. 18  match: 9  H SD: 4.1492 cents
 10 .. 20  match: 10  H SD: 3.4231 cents
 11 .. 22  match: 11  H SD: 3.0659 cents
 12 .. 24  match: 12  H SD: 2.8434 cents
 13 .. 26  match: 13  H SD: 2.5784 cents
 14 .. 28  match: 14  H SD: 4.0405 cents
 15 .. 30  match: 15  H SD: 3.3904 cents
 16 .. 32  match: 16  H SD: 2.7887 cents
 17 .. 34  match: 17  H SD: 2.8297 cents
 18 .. 36  match: 18  H SD: 2.6334 cents
 19 .. 38  match: 19  H SD: 3.0953 cents
 20 .. 40  match: 20  H SD: 2.0349 cents
 21 .. 42  match: 20    SD: 2.9052 cents
 22 .. 44  match: 21    SD: 2.3333 cents
 23 .. 46  match: 22  S SD: 2.6340 cents
 24 .. 48  match: 23  S SD: 2.4871 cents
 25 .. 50  match: 25  H SD: 1.9468 cents
 26 .. 52  match: 26  H SD: 1.7483 cents
 27 .. 54  match: 25    SD: 2.0455 cents
 28 .. 56  match: 25    SD: 2.3410 cents
 29 .. 58  match: 26    SD: 2.0490 cents
 30 .. 60  match: 26    SD: 2.0388 cents
 31 .. 62  match: 27    SD: 1.8432 cents
 32 .. 64  match: 27    SD: 1.7403 cents
 33 .. 66  match: 28    SD: 1.5324 cents
 34 .. 68  match: 28    SD: 1.7327 cents
 35 .. 70  match: 31    SD: 1.7655 cents
 36 .. 72  match: 30    SD: 1.5675 cents
 37 .. 74  match: 28    SD: 1.4402 cents
 38 .. 76  match: 30    SD: 1.6364 cents
 39 .. 78  match: 31    SD: 1.4846 cents
 40 .. 80  match: 31    SD: 1.2021 cents
 42 .. 84  match: 31    SD: 1.3959 cents
 43 .. 86  match: 30    SD: 1.5624 cents
 44 .. 88  match: 31    SD: 1.4393 cents
 45 .. 90  match: 31    SD: 1.3651 cents
 46 .. 92  match: 31    SD: 1.6017 cents
 47 .. 94  match: 32    SD: 1.2494 cents
 48 .. 96  match: 31    SD: 1.2217 cents
 49 .. 98  match: 30    SD: 1.4380 cents
 50 .. 100  match: 31    SD: 1.2602 cents
 51 .. 102  match: 31    SD: 1.0673 cents
 57 .. 114  match: 32    SD: 0.9834 cents
 58 .. 116  match: 32    SD: 0.9531 cents
 59 .. 118  match: 32    SD: 0.8875 cents
 63 .. 126  match: 32    SD: 0.8798 cents
 69 .. 138  match: 32    SD: 0.8564 cents
 73 .. 146  match: 32    SD: 0.8133 cents
 77 .. 154  match: 32    SD: 0.7628 cents
 83 .. 166  match: 32    SD: 0.6864 cents
 87 .. 174  match: 32    SD: 0.5919 cents
 98 .. 196  match: 32    SD: 0.5839 cents
 99 .. 198  match: 32    SD: 0.5244 cents
 103 .. 206  match: 32    SD: 0.5043 cents
 118 .. 236  match: 32    SD: 0.4968 cents
 120 .. 240  match: 32    SD: 0.4643 cents
 123 .. 246  match: 32    SD: 0.4493 cents
 125 .. 250  match: 32    SD: 0.4385 cents
 134 .. 268  match: 32    SD: 0.4349 cents
 140 .. 280  match: 32    SD: 0.4270 cents
 143 .. 286  match: 32    SD: 0.3780 cents
 150 .. 300  match: 32    SD: 0.3211 cents
 160 .. 320  match: 32    SD: 0.2824 cents
 182 .. 364  match: 32    SD: 0.2801 cents
 187 .. 374  match: 32    SD: 0.2791 cents
 202 .. 404  match: 32    SD: 0.2694 cents
 219 .. 438  match: 32    SD: 0.2547 cents
 221 .. 442  match: 32    SD: 0.2519 cents
 227 .. 454  match: 32    SD: 0.2322 cents
 242 .. 484  match: 32    SD: 0.2318 cents
 243 .. 486  match: 32    SD: 0.2258 cents
 247 .. 494  match: 32    SD: 0.2144 cents
 259 .. 518  match: 32    SD: 0.1964 cents
 290 .. 580  match: 32    SD: 0.1682 cents
 310 .. 620  match: 32    SD: 0.1619 cents
 330 .. 660  match: 32    SD: 0.1459 cents
 352 .. 704  match: 32    SD: 0.1336 cents
 389 .. 778  match: 32    SD: 0.1316 cents
 429 .. 858  match: 32    SD: 0.1256 cents
 450 .. 900  match: 32    SD: 0.1053 cents
 472 .. 944  match: 32    SD: 0.0976 cents
 512 .. 1024  match: 32    SD: 0.0839 cents