Scala analysis: xen02-wilson-indic

Indic system of 22 s'ruti (for you, Lou)

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

SHOW
  0:          1/1               0.000000 unison, perfect prime
  1:        256/243            90.224996 limma, Pythagorean minor second
  2:         16/15            111.731285 minor diatonic semitone
  3:         10/9             182.403712 minor whole tone
  4:          9/8             203.910002 major whole tone
  5:         32/27            294.134997 Pythagorean minor third
  6:          6/5             315.641287 minor third
  7:          5/4             386.313714 major third
  8:         81/64            407.820003 Pythagorean major third
  9:          4/3             498.044999 perfect fourth
 10:         27/20            519.551289 acute fourth
 11:         45/32            590.223716 diatonic tritone
 12:        729/512           611.730005 Pythagorean tritone
 13:          3/2             701.955001 perfect fifth
 14:        128/81            792.179997 Pythagorean minor sixth
 15:          8/5             813.686286 minor sixth
 16:          5/3             884.358713 major sixth, BP sixth
 17:         27/16            905.865003 Pythagorean major sixth
 18:         16/9             996.089998 Pythagorean minor seventh
 19:          9/5            1017.596288 just minor seventh, BP seventh
 20:         15/8            1088.268715 classic major seventh
 21:        243/128          1109.775004 Pythagorean major seventh
 22:          2/1            1200.000000 octave
SHOW/INTERVAL
  0:        256/243            90.2250 limma, Pythagorean minor second
  1:        256/243            90.2250 limma, Pythagorean minor second
  2:         81/80             21.5063 syntonic comma, Didymus comma
  3:         25/24             70.6724 classic chromatic semitone, minor chroma
  4:         81/80             21.5063 syntonic comma, Didymus comma
  5:        256/243            90.2250 limma, Pythagorean minor second
  6:         81/80             21.5063 syntonic comma, Didymus comma
  7:         25/24             70.6724 classic chromatic semitone, minor chroma
  8:         81/80             21.5063 syntonic comma, Didymus comma
  9:        256/243            90.2250 limma, Pythagorean minor second
 10:         81/80             21.5063 syntonic comma, Didymus comma
 11:         25/24             70.6724 classic chromatic semitone, minor chroma
 12:         81/80             21.5063 syntonic comma, Didymus comma
 13:        256/243            90.2250 limma, Pythagorean minor second
 14:        256/243            90.2250 limma, Pythagorean minor second
 15:         81/80             21.5063 syntonic comma, Didymus comma
 16:         25/24             70.6724 classic chromatic semitone, minor chroma
 17:         81/80             21.5063 syntonic comma, Didymus comma
 18:        256/243            90.2250 limma, Pythagorean minor second
 19:         81/80             21.5063 syntonic comma, Didymus comma
 20:         25/24             70.6724 classic chromatic semitone, minor chroma
 21:         81/80             21.5063 syntonic comma, Didymus comma
 22:        256/243            90.2250 limma, Pythagorean minor second
SHOW INTERVALS
Interval class, Number of incidences, Size:
  1:  10 81/80               21.506 cents   syntonic comma, Didymus comma
  1:   5 25/24               70.672 cents   classic chromatic semitone, minor chroma
  1:   7 256/243             90.225 cents   limma, Pythagorean minor second
  2:  10 135/128             92.179 cents   major chroma, major limma
  2:  10 16/15               111.731 cents  minor diatonic semitone
  2:   2 65536/59049         180.450 cents  Pythagorean diminished third
  3:   5 2187/2048           113.685 cents  apotome
  3:   3 27/25               133.238 cents  large limma, BP small semitone, Zarlino semitone
  3:  10 10/9                182.404 cents  minor whole tone
  3:   4 4096/3645           201.956 cents  narrow diminished third
  4:  16 9/8                 203.910 cents  major whole tone
  4:   2 256/225             223.463 cents  Neapolitan diminished third
  4:   4 2560/2187           272.629 cents  grave minor third
  5:   6 729/640             225.416 cents  acute major second
  5:   3 75/64               274.582 cents  classic augmented second
  5:  13 32/27               294.135 cents  Pythagorean minor third
  6:   6 1215/1024           296.089 cents  wide augmented second
  6:  10 6/5                 315.641 cents  minor third
  6:   2 100/81              364.807 cents  grave major third
  6:   4 8192/6561           384.360 cents  Pythagorean diminished fourth
  7:   3 19683/16384         317.595 cents  Pythagorean augmented second
  7:   1 243/200             337.148 cents  acute minor third
  7:  10 5/4                 386.314 cents  major third
  7:   8 512/405             405.866 cents  narrow diminished fourth
  8:  10 81/64               407.820 cents  Pythagorean major third
  8:   4 32/25               427.373 cents  classic diminished fourth
  8:   8 320/243             476.539 cents  grave fourth
  9:   2 6561/5120           429.326 cents  acute major third
  9:   1 675/512             478.492 cents  wide augmented third
  9:  19 4/3                 498.045 cents  perfect fourth
 10:   2 10935/8192          499.999 cents  fourth + schisma, 5-limit approximation to ET fourth
 10:  10 27/20               519.551 cents  acute fourth
 10:   4 25/18               568.717 cents  classic augmented fourth
 10:   6 1024/729            588.270 cents  Pythagorean diminished fifth
 11:   1 177147/131072       521.505 cents  Pythagorean augmented third
 11:  10 45/32               590.224 cents  diatonic tritone
 11:  10 64/45               609.776 cents  2nd tritone
 11:   1 262144/177147       678.495 cents  Pythagorean diminished sixth
 12:   6 729/512             611.730 cents  Pythagorean tritone
 12:   4 36/25               631.283 cents  classic diminished fifth
 12:  10 40/27               680.449 cents  grave fifth
 12:   2 16384/10935         700.001 cents  fifth - schisma, 5-limit approximation to ET fifth
 13:  19 3/2                 701.955 cents  perfect fifth
 13:   1 1024/675            721.508 cents  narrow diminished sixth
 13:   2 10240/6561          770.674 cents  grave minor sixth
 14:   8 243/160             723.461 cents  acute fifth
 14:   4 25/16               772.627 cents  classic augmented fifth
 14:  10 128/81              792.180 cents  Pythagorean minor sixth
 15:   8 405/256             794.134 cents  wide augmented fifth
 15:  10 8/5                 813.686 cents  minor sixth
 15:   1 400/243             862.852 cents  grave major sixth
 15:   3 32768/19683         882.405 cents  Pythagorean diminished seventh
 16:   4 6561/4096           815.640 cents  Pythagorean augmented fifth
 16:   2 81/50               835.193 cents  acute minor sixth
 16:  10 5/3                 884.359 cents  major sixth, BP sixth
 16:   6 2048/1215           903.911 cents  narrow diminished seventh
 17:  13 27/16               905.865 cents  Pythagorean major sixth
 17:   3 128/75              925.418 cents  diminished seventh
 17:   6 1280/729            974.584 cents  grave minor seventh
 18:   4 2187/1280           927.371 cents  acute major sixth
 18:   2 225/128             976.537 cents  augmented sixth
 18:  16 16/9                996.090 cents  Pythagorean minor seventh
 19:   4 3645/2048           998.044 cents  wide augmented sixth
 19:  10 9/5                 1017.596 cents just minor seventh, BP seventh
 19:   3 50/27               1066.762 cents grave major seventh
 19:   5 4096/2187           1086.315 cents Pythagorean diminished octave
 20:   2 59049/32768         1019.550 cents Pythagorean augmented sixth
 20:  10 15/8                1088.269 cents classic major seventh
 20:  10 256/135             1107.821 cents octave - major chroma
 21:   7 243/128             1109.775 cents Pythagorean major seventh
 21:   5 48/25               1129.328 cents classic diminished octave
 21:  10 160/81              1178.494 cents octave - syntonic comma
Highest number of different intervals for one interval class: 4
Average number of different intervals per interval class: 3.42857 = 24/7
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    
 0.0   : 90.2 111.7 182.4 203.9 294.1 315.6 386.3 407.8 498.0 519.6 590.2 611.7 702.0 792.2 813.7 884.4 905.9 996.1 1017.6 1088.3
 1109.8 1200.0
 90.2  : 21.5 92.2  113.7 203.9 225.4 296.1 317.6 407.8 429.3 500.0 521.5 611.7 702.0 723.5 794.1 815.6 905.9 927.4 998.0  1019.6
 1109.8 1200.0
 111.7 : 70.7 92.2  182.4 203.9 274.6 296.1 386.3 407.8 478.5 500.0 590.2 680.4 702.0 772.6 794.1 884.4 905.9 976.5 998.0  1088.3
 1178.5 1200.0
 182.4 : 21.5 111.7 133.2 203.9 225.4 315.6 337.1 407.8 429.3 519.6 609.8 631.3 702.0 723.5 813.7 835.2 905.9 927.4 1017.6 1107.8
 1129.3 1200.0
 203.9 : 90.2 111.7 182.4 203.9 294.1 315.6 386.3 407.8 498.0 588.3 609.8 680.4 702.0 792.2 813.7 884.4 905.9 996.1 1086.3 1107.8
 1178.5 1200.0
 294.1 : 21.5 92.2  113.7 203.9 225.4 296.1 317.6 407.8 498.0 519.6 590.2 611.7 702.0 723.5 794.1 815.6 905.9 996.1 1017.6 1088.3
 1109.8 1200.0
 315.6 : 70.7 92.2  182.4 203.9 274.6 296.1 386.3 476.5 498.0 568.7 590.2 680.4 702.0 772.6 794.1 884.4 974.6 996.1 1066.8 1088.3
 1178.5 1200.0
 386.3 : 21.5 111.7 133.2 203.9 225.4 315.6 405.9 427.4 498.0 519.6 609.8 631.3 702.0 723.5 813.7 903.9 925.4 996.1 1017.6 1107.8
 1129.3 1200.0
 407.8 : 90.2 111.7 182.4 203.9 294.1 384.4 405.9 476.5 498.0 588.3 609.8 680.4 702.0 792.2 882.4 903.9 974.6 996.1 1086.3 1107.8
 1178.5 1200.0
 498.0 : 21.5 92.2  113.7 203.9 294.1 315.6 386.3 407.8 498.0 519.6 590.2 611.7 702.0 792.2 813.7 884.4 905.9 996.1 1017.6 1088.3
 1109.8 1200.0
 519.6 : 70.7 92.2  182.4 272.6 294.1 364.8 386.3 476.5 498.0 568.7 590.2 680.4 770.7 792.2 862.9 884.4 974.6 996.1 1066.8 1088.3
 1178.5 1200.0
 590.2 : 21.5 111.7 202.0 223.5 294.1 315.6 405.9 427.4 498.0 519.6 609.8 700.0 721.5 792.2 813.7 903.9 925.4 996.1 1017.6 1107.8
 1129.3 1200.0
 611.7 : 90.2 180.4 202.0 272.6 294.1 384.4 405.9 476.5 498.0 588.3 678.5 700.0 770.7 792.2 882.4 903.9 974.6 996.1 1086.3 1107.8
 1178.5 1200.0
 702.0 : 90.2 111.7 182.4 203.9 294.1 315.6 386.3 407.8 498.0 588.3 609.8 680.4 702.0 792.2 813.7 884.4 905.9 996.1 1017.6 1088.3
 1109.8 1200.0
 792.2 : 21.5 92.2  113.7 203.9 225.4 296.1 317.6 407.8 498.0 519.6 590.2 611.7 702.0 723.5 794.1 815.6 905.9 927.4 998.0  1019.6
 1109.8 1200.0
 813.7 : 70.7 92.2  182.4 203.9 274.6 296.1 386.3 476.5 498.0 568.7 590.2 680.4 702.0 772.6 794.1 884.4 905.9 976.5 998.0  1088.3
 1178.5 1200.0
 884.4 : 21.5 111.7 133.2 203.9 225.4 315.6 405.9 427.4 498.0 519.6 609.8 631.3 702.0 723.5 813.7 835.2 905.9 927.4 1017.6 1107.8
 1129.3 1200.0
 905.9 : 90.2 111.7 182.4 203.9 294.1 384.4 405.9 476.5 498.0 588.3 609.8 680.4 702.0 792.2 813.7 884.4 905.9 996.1 1086.3 1107.8
 1178.5 1200.0
 996.1 : 21.5 92.2  113.7 203.9 294.1 315.6 386.3 407.8 498.0 519.6 590.2 611.7 702.0 723.5 794.1 815.6 905.9 996.1 1017.6 1088.3
 1109.8 1200.0
 1017.6: 70.7 92.2  182.4 272.6 294.1 364.8 386.3 476.5 498.0 568.7 590.2 680.4 702.0 772.6 794.1 884.4 974.6 996.1 1066.8 1088.3
 1178.5 1200.0
 1088.3: 21.5 111.7 202.0 223.5 294.1 315.6 405.9 427.4 498.0 519.6 609.8 631.3 702.0 723.5 813.7 903.9 925.4 996.1 1017.6 1107.8
 1129.3 1200.0
 1109.8: 90.2 180.4 202.0 272.6 294.1 384.4 405.9 476.5 498.0 588.3 609.8 680.4 702.0 792.2 882.4 903.9 974.6 996.1 1086.3 1107.8
 1178.5 1200.0
 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class:
  1:  21.5063   .. 90.2250 cents       20480/19683, 68.7187 cents         81/80, 21.5063 cents
  2:  92.1787   .. 180.4500 cents      8388608/7971615, 88.2713 cents     32805/32768, 1.9537 cents
  3:  113.6850  .. 201.9563 cents      8388608/7971615, 88.2713 cents     129140163/134217728,-66.7650 cents
  4:  203.9100  .. 272.6287 cents      20480/19683, 68.7187 cents         32805/32768, 1.9537 cents
  5:  225.4163  .. 294.1350 cents      20480/19683, 68.7187 cents         1594323/1638400,-47.2124 cents
  6:  296.0887  .. 384.3600 cents      8388608/7971615, 88.2713 cents     32805/32768, 1.9537 cents
  7:  317.5950  .. 405.8663 cents      8388608/7971615, 88.2713 cents     129140163/134217728,-66.7650 cents
  8:  407.8200  .. 476.5387 cents      20480/19683, 68.7187 cents         32805/32768, 1.9537 cents
  9:  429.3263  .. 498.0450 cents      20480/19683, 68.7187 cents         1594323/1638400,-47.2124 cents
 10:  499.9987  .. 588.2700 cents      8388608/7971615, 88.2713 cents     32805/32768, 1.9537 cents
 11:  521.5050  .. 678.4950 cents      156.98998 cents                    129140163/134217728,-66.7650 cents
 12:  611.7300  .. 700.0013 cents      8388608/7971615, 88.2713 cents     129140163/134217728,-66.7650 cents
 13:  701.9550  .. 770.6737 cents      20480/19683, 68.7187 cents         32805/32768, 1.9537 cents
 14:  723.4613  .. 792.1800 cents      20480/19683, 68.7187 cents         1594323/1638400,-47.2124 cents
 15:  794.1337  .. 882.4050 cents      8388608/7971615, 88.2713 cents     32805/32768, 1.9537 cents
 16:  815.6400  .. 903.9113 cents      8388608/7971615, 88.2713 cents     129140163/134217728,-66.7650 cents
 17:  905.8650  .. 974.5837 cents      20480/19683, 68.7187 cents         32805/32768, 1.9537 cents
 18:  927.3713  .. 996.0900 cents      20480/19683, 68.7187 cents         1594323/1638400,-47.2124 cents
 19:  998.0437  .. 1086.3150 cents     8388608/7971615, 88.2713 cents     32805/32768, 1.9537 cents
 20:  1019.5500 .. 1107.8213 cents     8388608/7971615, 88.2713 cents     129140163/134217728,-66.7650 cents
 21:  1109.7750 .. 1178.4937 cents     20480/19683, 68.7187 cents         32805/32768, 1.9537 cents
SHOW DATA
Number of notes                     : 22
-- Interval properties --
Smallest interval                   : 81/80, 21.5063 cents, class 1
Average step (divided formal octave): 54.5455 cents
Largest one step interval           : 256/243, 90.2250 cents
Average / Smallest step             : 2.536256
Largest / Average step              : 1.654125
Largest / Smallest step             : 4.195284
Median interval of one step         : 25/24, 70.6724 cents, amount: 5
Most common interval of one step    : 81/80, 21.5063 cents, amount: 10
Least squares average step          : 54.07753 cents, oct.:  1189.70567 cents
Scale is not proper
Step pattern alph. order: ABCBABCBABCBAABCBABCBA
Step pattern size order : LSMSLSMSLSMSLLSMSLSMSL
Scale is a Constant Structure, by a margin of 1.95372 cents
Scale diversity                     : 1.190518
Lumma stability                     : 0.052125
Lumma impropriety factor            : 0.491200
Number of different interval sizes  : 72 = 3.42857 / class
Number of one step interval sizes   : 3
Highest interval variety            : 4
Mean interval variety               : 3.42857 = 24/7
Median interval variety             : 3
Lowest interval variety             : 3
Smallest interval difference        : 32805/32768, 1.9537 cents
Most common intervals               : 4/3, 498.0450 cents & inv., amount: 19
Most common triad is 0.0 498.045 701.955 cents, amount: 16
Number of recognisable fifths       : 21, average 701.7689 cents
Scale contains two identical disjunct "tetrachords" of 10 notes
Scale contains a complete diamond   : 1 3 5 9 15
Formal octave complements present   : 19 = 86.3636%
Limited inverse transpositions      :
 13
Inversional symmetry on intervals   :
 6-7 17-18
-- Rational properties --
Prime limit                         : 5
Odd number limit                    : 177147 (O: 177147 U: 177147)
Highest odd numerator or denominator: 729
Scale harmonicity                   : 0.016911
Average absolute harmonicity        : 0.136638
Specific harmonicity                : 0.115873
Fundamental                         : 1/622080, -19.2467 octaves, 0.0004 Hz.
Guide tone                          : 933120,  19.8317 octaves, 244128047.494 Hz.
Exponens Consonantiae               : 5.804753E+11, 39.07844 octaves
Euler's gradus suavitatis           : 48
Sum of Mann's harmonic distance     : 1438.0, average 65.36364
Mersenne's string divisions         : too high to compute
Sum of van Prooijen's expressibility: 27.31749, average 1.24170
Sum of Tenney's harmonic distance   : 53.84898, average 2.44768
Vogel's harmonic complexity         : 30.22727
Wille's k value                     : 442867
Wilson's harmonic complexity        : 43
Rectangular lattice diameter        : 13
Triangular lattice diameter         : 11
Lattice compactness                 : 1575.51408, average 6.22733
Lattice compactness (without 2's)   : 862.36999, average 3.40858
Number of different primes          : 3
Prime exponents' range, average, count, tones@limit:
  2:  -9 .. 8        -0.27273   78    1
  3:  -5 .. 6         0.50000   49    11
  5:  -1 .. 1         0.00000   10    10
Average exponent except 2's         : 11 / 22 = 0.50000
Average absolute exponent except 2's: 59 / 22 = 2.68182
Scale is weakly epimorphic with val: <22 35 50|
Scale is JI-epimorphic with val: <22 35 51| = patent
FIT/MODE
 22:  2 0 1 1 1 1 1 0 2 1 1 0 2 2 0 1 1 1 1 1 0 2   N        SD: 15.7008 c. M:-26.0018 c. 
 24:  2 0 2 0 2 0 2 0 2 0 2 0 2 2 0 2 0 2 0 2 0 2   N   D3   SD: 11.2700 c. M: 19.5513 c. 
 29:  2 1 1 1 2 1 1 1 2 1 1 1 2 2 1 1 1 2 1 1 1 2   N        SD: 10.7046 c. M:-18.3797 c. 
 30:  2 1 2 0 2 1 2 0 2 1 2 0 3 2 0 2 1 2 0 2 1 2   N        SD: 11.3113 c. M:-18.0450 c. 
 31:  2 1 2 0 3 0 2 1 2 0 2 1 2 2 1 2 0 3 0 2 1 2   N        SD: 10.6651 c. M:-17.9864 c. 
 32:  2 1 2 0 3 0 2 1 2 1 2 0 3 2 1 2 0 3 0 2 1 2   N        SD: 10.4413 c. M:-16.4100 c. 
 34:  3 0 2 1 2 1 2 1 2 1 2 0 3 2 1 2 1 2 1 2 0 3   N        SD: 9.2942 c. M:-15.7094 c. 
 37:  3 0 3 0 3 1 2 1 2 1 2 1 3 2 1 2 1 3 0 3 0 3   N        SD: 9.2320 c. M:-14.4340 c. 
 39:  3 1 2 1 3 0 3 0 3 1 2 1 3 3 0 3 0 3 1 2 1 3   N        SD: 8.6687 c. M: 13.6863 c. 
 41:  3 1 2 1 3 1 2 1 3 1 2 1 3 3 1 2 1 3 1 2 1 3   N        SD: 4.3047 c. M:-7.2780 c. 
 53:  4 1 3 1 4 1 3 1 4 1 3 1 4 4 1 3 1 4 1 3 1 4   N G      SD: 0.9454 c. M: 1.5445 c. 
 118: 9 2 7 2 9 2 7 2 9 2 7 2 9 9 2 7 2 9 2 7 2 9   N G      SD: 0.7404 c. M: 1.5605 c. 
 171: 13 3 10 3 13 3 10 3 13 3 10 3 13 13 3 10 3 13 3 10 3 13   N G      SD: 0.5799 c. M: 1.2037 c. 
 224: 17 4 13 4 17 4 13 4 17 4 13 4 17 17 4 13 4 17 4 13 4 17   N G      SD: 0.5831 c. M: 1.0157 c. 
 335: 25 6 20 6 25 6 20 6 25 6 20 6 25 25 6 20 6 25 6 20 6 25   N        SD: 0.4954 c. M:-0.8211 c. 
 388: 29 7 23 7 29 7 23 7 29 7 23 7 29 29 7 23 7 29 7 23 7 29   N        SD: 0.3342 c. M:-0.6411 c. 
 441: 33 8 26 8 33 8 26 8 33 8 26 8 33 33 8 26 8 33 8 26 8 33   N        SD: 0.2389 c. M:-0.5149 c. 
 453: 34 8 27 8 34 8 27 8 34 8 27 8 34 34 8 27 8 34 8 27 8 34   N        SD: 0.3000 c. M:-0.5048 c. 
 494: 37 9 29 9 37 9 29 9 37 9 29 9 37 37 9 29 9 37 9 29 9 37   N        SD: 0.2065 c. M:-0.4157 c. 
 506: 38 9 30 9 38 9 30 9 38 9 30 9 38 38 9 30 9 38 9 30 9 38   N        SD: 0.1702 c. M:-0.2901 c. 
 559: 42 10 33 10 42 10 33 10 42 10 33 10 42 42 10 33 10 42 10 33 10 42   N        SD: 0.0669 c. M:-0.1162 c. 
 612: 46 11 36 11 46 11 36 11 46 11 36 11 46 46 11 36 11 46 11 36 11 46   N        SD: 0.0326 c. M:-0.0566 c. 
 1171: 88 21 69 21 88 21 69 21 88 21 69 21 88 88 21 69 21 88 21 69 21 88   N        SD: 0.0281 c. M:-0.0548 c. 
 1783: 134 32 105 32 134 32 105 32 134 32 105 32 134 134 32 105 32 134 32 105 32 134   N        SD: 0.0222 c. M:-0.0479 c. 
 2395: 180 43 141 43 180 43 141 43 180 43 141 43 180 180 43 141 43 180 43 141 43 180   N        SD: 0.0222 c. M:-0.0445 c. 
FIT/HARMONIC
 1 .. 2  match: 1  H SD: 0.0000 cents
 2 .. 4  match: 2  H SD: 0.0000 cents
 3 .. 6  match: 3  H SD: 0.0000 cents
 4 .. 8  match: 4  H SD: 6.8160 cents
 5 .. 10  match: 5  H SD: 1.5423 cents
 6 .. 12  match: 6  H SD: 6.9770 cents
 7 .. 14  match: 7  H SD: 7.3283 cents
 8 .. 16  match: 8  H SD: 6.2160 cents
 9 .. 18  match: 9  H SD: 5.4975 cents
 10 .. 20  match: 10  H SD: 4.9484 cents
 11 .. 22  match: 11  H SD: 7.7743 cents
 12 .. 24  match: 12  H SD: 4.9844 cents
 13 .. 26  match: 12  S SD: 7.5806 cents
 14 .. 28  match: 14  H SD: 4.8537 cents
 15 .. 30  match: 12    SD: 3.4682 cents
 16 .. 32  match: 15  S SD: 4.2547 cents
 17 .. 34  match: 15  S SD: 4.7143 cents
 18 .. 36  match: 15  S SD: 4.2597 cents
 19 .. 38  match: 13    SD: 3.8058 cents
 20 .. 40  match: 14    SD: 3.4339 cents
 21 .. 42  match: 17    SD: 3.9272 cents
 22 .. 44  match: 16    SD: 3.4092 cents
 23 .. 46  match: 18    SD: 3.6743 cents
 24 .. 48  match: 16    SD: 3.3464 cents
 25 .. 50  match: 17    SD: 3.4366 cents
 26 .. 52  match: 16    SD: 2.6431 cents
 27 .. 54  match: 15    SD: 3.0053 cents
 28 .. 56  match: 17    SD: 2.8272 cents
 29 .. 58  match: 17    SD: 2.7842 cents
 30 .. 60  match: 19    SD: 2.1555 cents
 31 .. 62  match: 17    SD: 2.4557 cents
 32 .. 64  match: 17    SD: 2.0513 cents
 33 .. 66  match: 19    SD: 2.2721 cents
 34 .. 68  match: 16    SD: 2.1708 cents
 35 .. 70  match: 17    SD: 2.1562 cents
 36 .. 72  match: 18    SD: 2.0703 cents
 37 .. 74  match: 19    SD: 2.0379 cents
 38 .. 76  match: 19    SD: 1.9833 cents
 39 .. 78  match: 20    SD: 1.9463 cents
 40 .. 80  match: 22    SD: 1.6785 cents
 41 .. 82  match: 18    SD: 1.7804 cents
 42 .. 84  match: 19    SD: 1.4690 cents
 43 .. 86  match: 20    SD: 1.9230 cents
 44 .. 88  match: 20    SD: 1.8054 cents
 45 .. 90  match: 22    SD: 1.4287 cents
 46 .. 92  match: 19    SD: 1.6531 cents
 47 .. 94  match: 18    SD: 1.5854 cents
 48 .. 96  match: 20    SD: 1.2467 cents
 49 .. 98  match: 21    SD: 1.4647 cents
 50 .. 100  match: 19    SD: 1.4362 cents
 51 .. 102  match: 20    SD: 1.6572 cents
 52 .. 104  match: 20    SD: 1.4747 cents
 53 .. 106  match: 21    SD: 1.7012 cents
 54 .. 108  match: 21    SD: 1.1046 cents
 57 .. 114  match: 21    SD: 1.0943 cents
 58 .. 116  match: 21    SD: 1.4036 cents
 59 .. 118  match: 21    SD: 1.2216 cents
 60 .. 120  match: 22    SD: 1.0522 cents
 62 .. 124  match: 21    SD: 1.3036 cents
 63 .. 126  match: 22    SD: 1.1918 cents
 64 .. 128  match: 22    SD: 0.9873 cents
 66 .. 132  match: 21    SD: 1.1853 cents
 67 .. 134  match: 21    SD: 1.3905 cents
 68 .. 136  match: 22    SD: 1.3460 cents
 69 .. 138  match: 22    SD: 1.1215 cents
 71 .. 142  match: 22    SD: 0.8540 cents
 80 .. 160  match: 22    SD: 0.7398 cents
 90 .. 180  match: 22    SD: 0.6862 cents
 105 .. 210  match: 22    SD: 0.6845 cents
 108 .. 216  match: 22    SD: 0.6121 cents
 120 .. 240  match: 22    SD: 0.4743 cents
 135 .. 270  match: 22    SD: 0.3567 cents
 180 .. 360  match: 22    SD: 0.3565 cents
 189 .. 378  match: 22    SD: 0.3434 cents
 200 .. 400  match: 22    SD: 0.2968 cents
 224 .. 448  match: 22    SD: 0.2862 cents
 225 .. 450  match: 22    SD: 0.2673 cents
 226 .. 452  match: 22    SD: 0.2671 cents
 240 .. 480  match: 22    SD: 0.2452 cents
 264 .. 528  match: 22    SD: 0.2380 cents
 279 .. 558  match: 22    SD: 0.2374 cents
 280 .. 560  match: 22    SD: 0.2254 cents
 288 .. 576  match: 22    SD: 0.2190 cents
 297 .. 594  match: 22    SD: 0.1930 cents
 320 .. 640  match: 22    SD: 0.1912 cents
 335 .. 670  match: 22    SD: 0.1833 cents
 360 .. 720  match: 22    SD: 0.1534 cents
 432 .. 864  match: 22    SD: 0.1239 cents
 512 .. 1024  match: 22    SD: 0.1094 cents
 540 .. 1080  match: 22    SD: 0.1083 cents
 576 .. 1152  match: 22    SD: 0.1002 cents
 600 .. 1200  match: 22    SD: 0.0833 cents