Scala analysis: xen03-wilson-negative-31

Negative, linear-mapped intonational system, 31 notes

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

SHOW
  0:          1/1               0.000000 unison, perfect prime
  1:         64/63             27.264092 septimal comma, Archytas' comma
  2:         28/27             62.960904 Archytas' 1/3-tone
  3:         16/15            111.731285 minor diatonic semitone
  4:         12/11            150.637059 undecimal neutral second, 3/4-tone
  5:          9/8             203.910002 major whole tone
  6:          8/7             231.174094 septimal whole tone
  7:          7/6             266.870906 septimal minor third
  8:          6/5             315.641287 minor third
  9:         27/22            354.547060 neutral third, Zalzal wosta of al-Farabi
 10:          5/4             386.313714 major third
 11:         80/63            413.577806 wide major third
 12:         35/27            449.274618 septimal semi-diminished fourth, 9/4-tone
 13:          4/3             498.044999 perfect fourth
 14:        256/189           525.309091
 15:        112/81            561.005903
 16:         64/45            609.776284 2nd tritone
 17:         16/11            648.682058 undecimal semi-diminished fifth
 18:          3/2             701.955001 perfect fifth
 19:         32/21            729.219093 wide fifth
 20:         14/9             764.915905 septimal minor sixth
 21:          8/5             813.686286 minor sixth
 22:         18/11            852.592059 undecimal neutral sixth
 23:         27/16            905.865003 Pythagorean major sixth
 24:         12/7             933.129094 septimal major sixth
 25:          7/4             968.825906 harmonic seventh
 26:          9/5            1017.596288 just minor seventh, BP seventh
 27:         81/44           1056.502061 2nd undecimal neutral seventh
 28:         15/8            1088.268715 classic major seventh
 29:         40/21           1115.532807 acute major seventh
 30:         35/18           1151.229619 septimal semi-diminished octave
 31:          2/1            1200.000000 octave
SHOW/INTERVAL
  0:         36/35             48.7704 septimal diesis, 1/4-tone
  1:         64/63             27.2641 septimal comma, Archytas' comma
  2:         49/48             35.6968 slendro diesis, septimal 1/6-tone
  3:         36/35             48.7704 septimal diesis, 1/4-tone
  4:         45/44             38.9058 1/5-tone
  5:         33/32             53.2729 undecimal comma, al-Farabi's 1/4-tone
  6:         64/63             27.2641 septimal comma, Archytas' comma
  7:         49/48             35.6968 slendro diesis, septimal 1/6-tone
  8:         36/35             48.7704 septimal diesis, 1/4-tone
  9:         45/44             38.9058 1/5-tone
 10:         55/54             31.7667 telepathma
 11:         64/63             27.2641 septimal comma, Archytas' comma
 12:         49/48             35.6968 slendro diesis, septimal 1/6-tone
 13:         36/35             48.7704 septimal diesis, 1/4-tone
 14:         64/63             27.2641 septimal comma, Archytas' comma
 15:         49/48             35.6968 slendro diesis, septimal 1/6-tone
 16:         36/35             48.7704 septimal diesis, 1/4-tone
 17:         45/44             38.9058 1/5-tone
 18:         33/32             53.2729 undecimal comma, al-Farabi's 1/4-tone
 19:         64/63             27.2641 septimal comma, Archytas' comma
 20:         49/48             35.6968 slendro diesis, septimal 1/6-tone
 21:         36/35             48.7704 septimal diesis, 1/4-tone
 22:         45/44             38.9058 1/5-tone
 23:         33/32             53.2729 undecimal comma, al-Farabi's 1/4-tone
 24:         64/63             27.2641 septimal comma, Archytas' comma
 25:         49/48             35.6968 slendro diesis, septimal 1/6-tone
 26:         36/35             48.7704 septimal diesis, 1/4-tone
 27:         45/44             38.9058 1/5-tone
 28:         55/54             31.7667 telepathma
 29:         64/63             27.2641 septimal comma, Archytas' comma
 30:         49/48             35.6968 slendro diesis, septimal 1/6-tone
 31:         36/35             48.7704 septimal diesis, 1/4-tone
SHOW INTERVALS
Interval class, Number of incidences, Size:
  1:   7 64/63               27.264 cents   septimal comma, Archytas' comma
  1:   2 55/54               31.767 cents   telepathma
  1:   7 49/48               35.697 cents   slendro diesis, septimal 1/6-tone
  1:   5 45/44               38.906 cents   1/5-tone
  1:   7 36/35               48.770 cents   septimal diesis, 1/4-tone
  1:   3 33/32               53.273 cents   undecimal comma, al-Farabi's 1/4-tone
  2:   2 1760/1701           59.031 cents   
  2:   7 28/27               62.961 cents   Archytas' 1/3-tone
  2:   2 25/24               70.672 cents   classic chromatic semitone, minor chroma
  2:   2 256/245             76.034 cents   septimal minor semitone
  2:   3 22/21               80.537 cents   undecimal minor semitone
  2:   7 21/20               84.467 cents   minor semitone
  2:   5 81/77               87.676 cents   
  2:   3 135/128             92.179 cents   major chroma, major limma
  3:   2 770/729             94.728 cents   
  3:   2 200/189             97.937 cents   
  3:  11 16/15               111.731 cents  minor diatonic semitone
  3:   3 77/72               116.234 cents  undecimal secor
  3:   5 15/14               119.443 cents  major diatonic semitone
  3:   5 189/176             123.373 cents  
  3:   3 243/224             140.949 cents  Archytas' 2/3-tone
  4:   2 175/162             133.633 cents  
  4:   2 1024/945            138.995 cents  
  4:   2 88/81               143.498 cents  2nd undecimal neutral second
  4:   2 160/147             146.707 cents  
  4:   2 49/45               147.428 cents  BP minor semitone
  4:   5 12/11               150.637 cents  undecimal neutral second, 3/4-tone
  4:   5 35/32               155.140 cents  septimal neutral second
  4:   2 192/175             160.502 cents  septimal 4/5-tone
  4:   3 11/10               165.004 cents  Ptolemy's second, 4/5-tone
  4:   3 54/49               168.213 cents  Zalzal's mujannab
  4:   3 567/512             176.646 cents  
  5:   2 5632/5103           170.762 cents  
  5:   2 448/405             174.692 cents  
  5:   8 10/9                182.404 cents  minor whole tone
  5:   2 28/25               196.198 cents  middle second
  5:   2 432/385             199.407 cents  
  5:  15 9/8                 203.910 cents  major whole tone
  6:   2 2464/2187           206.459 cents  
  6:   4 640/567             209.668 cents  
  6:   2 245/216             218.101 cents  
  6:   2 256/225             223.463 cents  Neapolitan diminished third
  6:   5 8/7                 231.174 cents  septimal whole tone
  6:   2 63/55               235.104 cents  
  6:   2 55/48               235.677 cents  undecimal semi-augmented whole tone
  6:   3 147/128             239.607 cents  
  6:   3 405/352             242.816 cents  
  6:   5 81/70               252.680 cents  Al-Hwarizmi's lute middle finger
  6:   1 297/256             257.183 cents  
  7:   4 280/243             245.365 cents  
  7:   2 1408/1215           255.229 cents  
  7:   2 512/441             258.438 cents  
  7:   2 64/55               262.368 cents  
  7:   2 220/189             262.941 cents  
  7:   5 7/6                 266.871 cents  septimal minor third
  7:   2 75/64               274.582 cents  classic augmented second
  7:   2 288/245             279.944 cents  
  7:   1 33/28               284.447 cents  undecimal minor third
  7:   5 189/160             288.377 cents  
  7:   3 729/616             291.586 cents  
  7:   1 1215/1024           296.089 cents  wide augmented second
  8:  10 32/27               294.135 cents  Pythagorean minor third
  8:   2 385/324             298.638 cents  
  8:   2 25/21               301.847 cents  BP second, quasi-equal minor third
  8:   9 6/5                 315.641 cents  minor third
  8:   1 77/64               320.144 cents  Keemun minor third
  8:   3 135/112             323.353 cents  septimal wide minor third
  8:   3 1701/1408           327.283 cents  
  8:   1 2187/1792           344.859 cents  
  9:   2 2048/1701           321.399 cents  
  9:   2 98/81               329.832 cents  
  9:   2 40/33               333.041 cents  
  9:   2 175/144             337.543 cents  
  9:   4 128/105             342.905 cents  septimal neutral third
  9:   4 11/9                347.408 cents  undecimal neutral third
  9:   2 60/49               350.617 cents  smaller approximation to neutral third
  9:   2 49/40               351.338 cents  larger approximation to neutral third
  9:   3 27/22               354.547 cents  neutral third, Zalzal wosta of al-Farabi
  9:   3 315/256             359.050 cents  
  9:   2 216/175             364.412 cents  
  9:   1 99/80               368.914 cents  
  9:   1 243/196             372.123 cents  
  9:   1 5103/4096           380.556 cents  
 10:   2 896/729             357.096 cents  
 10:   4 704/567             374.672 cents  
 10:   4 56/45               378.602 cents  septimal narrow major third
 10:   2 96/77               381.811 cents  
 10:  10 5/4                 386.314 cents  major third
 10:   2 63/50               400.108 cents  quasi-equal major third
 10:   2 486/385             403.317 cents  
 10:   5 81/64               407.820 cents  Pythagorean major third
 11:   2 512/405             405.866 cents  narrow diminished fourth
 11:   4 308/243             410.369 cents  
 11:   6 80/63               413.578 cents  wide major third
 11:   2 14/11               417.508 cents  undecimal diminished fourth or major third
 11:   2 245/192             422.011 cents  
 11:   2 32/25               427.373 cents  classic diminished fourth
 11:   6 9/7                 435.084 cents  septimal major third, BP third
 11:   2 567/440             439.014 cents  
 11:   1 165/128             439.587 cents  
 11:   1 1323/1024           443.517 cents  
 11:   1 3645/2816           446.726 cents  
 11:   2 729/560             456.590 cents  
 12:   2 128/99              444.772 cents  
 12:   6 35/27               449.275 cents  septimal semi-diminished fourth, 9/4-tone
 12:   4 176/135             459.139 cents  
 12:   5 64/49               462.348 cents  2 septatones or septatonic major third
 12:   2 72/55               466.278 cents  undecimal semi-diminished fourth
 12:   1 55/42               466.851 cents  
 12:   6 21/16               470.781 cents  narrow fourth
 12:   1 675/512             478.492 cents  wide augmented third
 12:   1 324/245             483.854 cents  
 12:   2 1701/1280           492.287 cents  
 12:   1 6561/4928           495.496 cents  
 13:  23 4/3                 498.045 cents  perfect fourth
 13:   1 385/288             502.548 cents  
 13:   1 75/56               505.757 cents  marvelous fourth
 13:   4 27/20               519.551 cents  acute fourth
 13:   1 1215/896            527.263 cents  
 13:   1 15309/11264         531.193 cents  
 14:   5 256/189             525.309 cents  
 14:   1 110/81              529.812 cents  
 14:   5 49/36               533.742 cents  Arabic lute acute fourth
 14:   4 15/11               536.951 cents  undecimal augmented fourth
 14:   1 175/128             541.453 cents  
 14:   6 48/35               546.815 cents  septimal semi-augmented fourth
 14:   4 11/8                551.318 cents  undecimal semi-augmented fourth
 14:   1 135/98              554.527 cents  
 14:   1 441/320             555.248 cents  
 14:   1 243/176             558.457 cents  
 14:   1 2835/2048           562.960 cents  
 14:   1 243/175             568.322 cents  
 15:   1 7040/5103           557.076 cents  
 15:   5 112/81              561.006 cents  
 15:   1 25/18               568.717 cents  classic augmented fourth
 15:   1 1024/735            574.079 cents  
 15:   4 88/63               578.582 cents  
 15:   6 7/5                 582.512 cents  septimal or Huygens' tritone, BP fourth
 15:   4 108/77              585.721 cents  
 15:   7 45/32               590.224 cents  diatonic tritone
 15:   1 567/400             604.018 cents  
 15:   1 2187/1540           607.227 cents  
 16:   1 3080/2187           592.773 cents  
 16:   1 800/567             595.982 cents  
 16:   7 64/45               609.776 cents  2nd tritone
 16:   4 77/54               614.279 cents  
 16:   6 10/7                617.488 cents  Euler's tritone
 16:   4 63/44               621.418 cents  
 16:   1 735/512             625.921 cents  
 16:   1 36/25               631.283 cents  classic diminished fifth
 16:   5 81/56               638.994 cents  
 16:   1 5103/3520           642.924 cents  
 17:   1 350/243             631.678 cents  
 17:   1 4096/2835           637.040 cents  
 17:   1 352/243             641.543 cents  
 17:   1 640/441             644.752 cents  
 17:   1 196/135             645.473 cents  
 17:   4 16/11               648.682 cents  undecimal semi-diminished fifth
 17:   6 35/24               653.185 cents  septimal semi-diminished fifth
 17:   1 256/175             658.547 cents  
 17:   4 22/15               663.049 cents  undecimal diminished fifth
 17:   5 72/49               666.258 cents  Arabic lute grave fifth
 17:   1 81/55               670.188 cents  
 17:   5 189/128             674.691 cents  
 18:   1 22528/15309         668.807 cents  
 18:   1 1792/1215           672.737 cents  
 18:   4 40/27               680.449 cents  grave fifth
 18:   1 112/75              694.243 cents  marvelous fifth
 18:   1 576/385             697.452 cents  
 18:  23 3/2                 701.955 cents  perfect fifth
 19:   1 9856/6561           704.504 cents  
 19:   2 2560/1701           707.713 cents  
 19:   1 245/162             716.146 cents  
 19:   1 1024/675            721.508 cents  narrow diminished sixth
 19:   6 32/21               729.219 cents  wide fifth
 19:   1 84/55               733.149 cents  
 19:   2 55/36               733.722 cents  undecimal semi-augmented fifth
 19:   5 49/32               737.652 cents  
 19:   4 135/88              740.861 cents  
 19:   6 54/35               750.725 cents  septimal semi-augmented fifth
 19:   2 99/64               755.228 cents  
 20:   2 1120/729            743.410 cents  
 20:   1 5632/3645           753.274 cents  
 20:   1 2048/1323           756.483 cents  
 20:   1 256/165             760.413 cents  
 20:   2 880/567             760.986 cents  
 20:   6 14/9                764.916 cents  septimal minor sixth
 20:   2 25/16               772.627 cents  classic augmented fifth
 20:   2 384/245             777.989 cents  
 20:   2 11/7                782.492 cents  undecimal augmented fifth
 20:   6 63/40               786.422 cents  narrow minor sixth
 20:   4 243/154             789.631 cents  
 20:   2 405/256             794.134 cents  wide augmented fifth
 21:   5 128/81              792.180 cents  Pythagorean minor sixth
 21:   2 385/243             796.683 cents  
 21:   2 100/63              799.892 cents  quasi-equal minor sixth
 21:  10 8/5                 813.686 cents  minor sixth
 21:   2 77/48               818.189 cents  
 21:   4 45/28               821.398 cents  septimale wide minor sixth
 21:   4 567/352             825.328 cents  
 21:   2 729/448             842.904 cents  
 22:   1 8192/5103           819.444 cents  
 22:   1 392/243             827.877 cents  
 22:   1 160/99              831.086 cents  
 22:   2 175/108             835.588 cents  
 22:   3 512/315             840.950 cents  
 22:   3 44/27               845.453 cents  neutral sixth
 22:   2 80/49               848.662 cents  smaller approximation to neutral sixth
 22:   2 49/30               849.383 cents  larger approximation to neutral sixth
 22:   4 18/11               852.592 cents  undecimal neutral sixth
 22:   4 105/64              857.095 cents  septimal neutral sixth
 22:   2 288/175             862.457 cents  
 22:   2 33/20               866.959 cents  
 22:   2 81/49               870.168 cents  two (septimal major third, BP third)
 22:   2 1701/1024           878.601 cents  
 23:   1 3584/2187           855.141 cents  
 23:   3 2816/1701           872.717 cents  
 23:   3 224/135             876.647 cents  narrow septimal major sixth
 23:   1 128/77              879.856 cents  
 23:   9 5/3                 884.359 cents  major sixth, BP sixth
 23:   2 42/25               898.153 cents  quasi-equal major sixth
 23:   2 648/385             901.362 cents  
 23:  10 27/16               905.865 cents  Pythagorean major sixth
 24:   1 2048/1215           903.911 cents  narrow diminished seventh
 24:   3 1232/729            908.414 cents  
 24:   5 320/189             911.623 cents  
 24:   1 56/33               915.553 cents  
 24:   2 245/144             920.056 cents  
 24:   2 128/75              925.418 cents  diminished seventh
 24:   5 12/7                933.129 cents  septimal major sixth
 24:   2 189/110             937.059 cents  
 24:   2 55/32               937.632 cents  
 24:   2 441/256             941.562 cents  two (narrow fourth)
 24:   2 1215/704            944.771 cents  
 24:   4 243/140             954.635 cents  
 25:   1 512/297             942.817 cents  
 25:   5 140/81              947.320 cents  
 25:   3 704/405             957.184 cents  
 25:   3 256/147             960.393 cents  
 25:   2 96/55               964.323 cents  
 25:   2 110/63              964.896 cents  
 25:   5 7/4                 968.826 cents  harmonic seventh
 25:   2 225/128             976.537 cents  augmented sixth
 25:   2 432/245             981.899 cents  
 25:   4 567/320             990.332 cents  
 25:   2 2187/1232           993.541 cents  
 26:  15 16/9                996.090 cents  Pythagorean minor seventh
 26:   2 385/216             1000.593 cents 
 26:   2 25/14               1003.802 cents middle minor seventh
 26:   8 9/5                 1017.596 cents just minor seventh, BP seventh
 26:   2 405/224             1025.308 cents 
 26:   2 5103/2816           1029.238 cents 
 27:   3 1024/567            1023.354 cents 
 27:   3 49/27               1031.787 cents 
 27:   3 20/11               1034.996 cents large minor seventh
 27:   2 175/96              1039.498 cents 
 27:   5 64/35               1044.860 cents septimal neutral seventh
 27:   5 11/6                1049.363 cents undecimal neutral seventh, 21/4-tone
 27:   2 90/49               1052.572 cents 
 27:   2 147/80              1053.293 cents 
 27:   2 81/44               1056.502 cents 2nd undecimal neutral seventh
 27:   2 945/512             1061.005 cents 
 27:   2 324/175             1066.367 cents 
 28:   3 448/243             1059.051 cents 
 28:   5 352/189             1076.627 cents 
 28:   5 28/15               1080.557 cents grave major seventh
 28:   3 144/77              1083.766 cents 
 28:  11 15/8                1088.269 cents classic major seventh
 28:   2 189/100             1102.063 cents 
 28:   2 729/385             1105.272 cents 
 29:   3 256/135             1107.821 cents octave - major chroma
 29:   5 154/81              1112.324 cents 
 29:   7 40/21               1115.533 cents acute major seventh
 29:   3 21/11               1119.463 cents undecimal major seventh
 29:   2 245/128             1123.966 cents 
 29:   2 48/25               1129.328 cents classic diminished octave
 29:   7 27/14               1137.039 cents septimal major seventh
 29:   2 1701/880            1140.969 cents 
 30:   3 64/33               1146.727 cents 33rd subharmonic
 30:   7 35/18               1151.230 cents septimal semi-diminished octave
 30:   5 88/45               1161.094 cents 
 30:   7 96/49               1164.303 cents 
 30:   2 108/55              1168.233 cents 
 30:   7 63/32               1172.736 cents octave - septimal comma
Highest number of different intervals for one interval class: 14
Average number of different intervals per interval class: 9.46667 = 142/15
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    
 0.0   : 27.3 63.0 111.7 150.6 203.9 231.2 266.9 315.6 354.5 386.3 413.6 449.3 498.0 525.3 561.0 609.8 648.7 702.0 729.2 764.9
 813.7 852.6 905.9 933.1 968.8 1017.6 1056.5 1088.3 1115.5 1151.2 1200.0
 27.3  : 35.7 84.5 123.4 176.6 203.9 239.6 288.4 327.3 359.0 386.3 422.0 470.8 498.0 533.7 582.5 621.4 674.7 702.0 737.7 786.4
 825.3 878.6 905.9 941.6 990.3 1029.2 1061.0 1088.3 1124.0 1172.7 1200.0
 63.0  : 48.8 87.7 140.9 168.2 203.9 252.7 291.6 323.4 350.6 386.3 435.1 462.3 498.0 546.8 585.7 639.0 666.3 702.0 750.7 789.6
 842.9 870.2 905.9 954.6 993.5 1025.3 1052.6 1088.3 1137.0 1164.3 1200.0
 111.7 : 38.9 92.2 119.4 155.1 203.9 242.8 274.6 301.8 337.5 386.3 413.6 449.3 498.0 537.0 590.2 617.5 653.2 702.0 740.9 794.1
 821.4 857.1 905.9 944.8 976.5 1003.8 1039.5 1088.3 1115.5 1151.2 1200.0
 150.6 : 53.3 80.5 116.2 165.0 203.9 235.7 262.9 298.6 347.4 374.7 410.4 459.1 498.0 551.3 578.6 614.3 663.0 702.0 755.2 782.5
 818.2 867.0 905.9 937.6 964.9 1000.6 1049.4 1076.6 1112.3 1161.1 1200.0
 203.9 : 27.3 63.0 111.7 150.6 182.4 209.7 245.4 294.1 321.4 357.1 405.9 444.8 498.0 525.3 561.0 609.8 648.7 702.0 729.2 764.9
 813.7 852.6 884.4 911.6 947.3 996.1  1023.4 1059.1 1107.8 1146.7 1200.0
 231.2 : 35.7 84.5 123.4 155.1 182.4 218.1 266.9 294.1 329.8 378.6 417.5 470.8 498.0 533.7 582.5 621.4 674.7 702.0 737.7 786.4
 825.3 857.1 884.4 920.1 968.8 996.1  1031.8 1080.6 1119.5 1172.7 1200.0
 266.9 : 48.8 87.7 119.4 146.7 182.4 231.2 258.4 294.1 342.9 381.8 435.1 462.3 498.0 546.8 585.7 639.0 666.3 702.0 750.7 789.6
 821.4 848.7 884.4 933.1 960.4 996.1  1044.9 1083.8 1137.0 1164.3 1200.0
 315.6 : 38.9 70.7 97.9  133.6 182.4 209.7 245.4 294.1 333.0 386.3 413.6 449.3 498.0 537.0 590.2 617.5 653.2 702.0 740.9 772.6
 799.9 835.6 884.4 911.6 947.3 996.1  1035.0 1088.3 1115.5 1151.2 1200.0
 354.5 : 31.8 59.0 94.7  143.5 170.8 206.5 255.2 294.1 347.4 374.7 410.4 459.1 498.0 551.3 578.6 614.3 663.0 702.0 733.7 761.0
 796.7 845.5 872.7 908.4 957.2 996.1  1049.4 1076.6 1112.3 1161.1 1200.0
 386.3 : 27.3 63.0 111.7 139.0 174.7 223.5 262.4 315.6 342.9 378.6 427.4 466.3 519.6 546.8 582.5 631.3 670.2 702.0 729.2 764.9
 813.7 841.0 876.6 925.4 964.3 1017.6 1044.9 1080.6 1129.3 1168.2 1200.0
 413.6 : 35.7 84.5 111.7 147.4 196.2 235.1 288.4 315.6 351.3 400.1 439.0 492.3 519.6 555.2 604.0 642.9 674.7 702.0 737.7 786.4
 813.7 849.4 898.2 937.1 990.3 1017.6 1053.3 1102.1 1141.0 1172.7 1200.0
 449.3 : 48.8 76.0 111.7 160.5 199.4 252.7 279.9 315.6 364.4 403.3 456.6 483.9 519.6 568.3 607.2 639.0 666.3 702.0 750.7 778.0
 813.7 862.5 901.4 954.6 981.9 1017.6 1066.4 1105.3 1137.0 1164.3 1200.0
 498.0 : 27.3 63.0 111.7 150.6 203.9 231.2 266.9 315.6 354.5 407.8 435.1 470.8 519.6 558.5 590.2 617.5 653.2 702.0 729.2 764.9
 813.7 852.6 905.9 933.1 968.8 1017.6 1056.5 1088.3 1115.5 1151.2 1200.0
 525.3 : 35.7 84.5 123.4 176.6 203.9 239.6 288.4 327.3 380.6 407.8 443.5 492.3 531.2 563.0 590.2 625.9 674.7 702.0 737.7 786.4
 825.3 878.6 905.9 941.6 990.3 1029.2 1061.0 1088.3 1124.0 1172.7 1200.0
 561.0 : 48.8 87.7 140.9 168.2 203.9 252.7 291.6 344.9 372.1 407.8 456.6 495.5 527.3 554.5 590.2 639.0 666.3 702.0 750.7 789.6
 842.9 870.2 905.9 954.6 993.5 1025.3 1052.6 1088.3 1137.0 1164.3 1200.0
 609.8 : 38.9 92.2 119.4 155.1 203.9 242.8 296.1 323.4 359.0 407.8 446.7 478.5 505.8 541.5 590.2 617.5 653.2 702.0 740.9 794.1
 821.4 857.1 905.9 944.8 976.5 1003.8 1039.5 1088.3 1115.5 1151.2 1200.0
 648.7 : 53.3 80.5 116.2 165.0 203.9 257.2 284.4 320.1 368.9 407.8 439.6 466.9 502.5 551.3 578.6 614.3 663.0 702.0 755.2 782.5
 818.2 867.0 905.9 937.6 964.9 1000.6 1049.4 1076.6 1112.3 1161.1 1200.0
 702.0 : 27.3 63.0 111.7 150.6 203.9 231.2 266.9 315.6 354.5 386.3 413.6 449.3 498.0 525.3 561.0 609.8 648.7 702.0 729.2 764.9
 813.7 852.6 884.4 911.6 947.3 996.1  1023.4 1059.1 1107.8 1146.7 1200.0
 729.2 : 35.7 84.5 123.4 176.6 203.9 239.6 288.4 327.3 359.0 386.3 422.0 470.8 498.0 533.7 582.5 621.4 674.7 702.0 737.7 786.4
 825.3 857.1 884.4 920.1 968.8 996.1  1031.8 1080.6 1119.5 1172.7 1200.0
 764.9 : 48.8 87.7 140.9 168.2 203.9 252.7 291.6 323.4 350.6 386.3 435.1 462.3 498.0 546.8 585.7 639.0 666.3 702.0 750.7 789.6
 821.4 848.7 884.4 933.1 960.4 996.1  1044.9 1083.8 1137.0 1164.3 1200.0
 813.7 : 38.9 92.2 119.4 155.1 203.9 242.8 274.6 301.8 337.5 386.3 413.6 449.3 498.0 537.0 590.2 617.5 653.2 702.0 740.9 772.6
 799.9 835.6 884.4 911.6 947.3 996.1  1035.0 1088.3 1115.5 1151.2 1200.0
 852.6 : 53.3 80.5 116.2 165.0 203.9 235.7 262.9 298.6 347.4 374.7 410.4 459.1 498.0 551.3 578.6 614.3 663.0 702.0 733.7 761.0
 796.7 845.5 872.7 908.4 957.2 996.1  1049.4 1076.6 1112.3 1161.1 1200.0
 905.9 : 27.3 63.0 111.7 150.6 182.4 209.7 245.4 294.1 321.4 357.1 405.9 444.8 498.0 525.3 561.0 609.8 648.7 680.4 707.7 743.4
 792.2 819.4 855.1 903.9 942.8 996.1  1023.4 1059.1 1107.8 1146.7 1200.0
 933.1 : 35.7 84.5 123.4 155.1 182.4 218.1 266.9 294.1 329.8 378.6 417.5 470.8 498.0 533.7 582.5 621.4 653.2 680.4 716.1 764.9
 792.2 827.9 876.6 915.6 968.8 996.1  1031.8 1080.6 1119.5 1172.7 1200.0
 968.8 : 48.8 87.7 119.4 146.7 182.4 231.2 258.4 294.1 342.9 381.8 435.1 462.3 498.0 546.8 585.7 617.5 644.8 680.4 729.2 756.5
 792.2 841.0 879.9 933.1 960.4 996.1  1044.9 1083.8 1137.0 1164.3 1200.0
 1017.6: 38.9 70.7 97.9  133.6 182.4 209.7 245.4 294.1 333.0 386.3 413.6 449.3 498.0 537.0 568.7 596.0 631.7 680.4 707.7 743.4
 792.2 831.1 884.4 911.6 947.3 996.1  1035.0 1088.3 1115.5 1151.2 1200.0
 1056.5: 31.8 59.0 94.7  143.5 170.8 206.5 255.2 294.1 347.4 374.7 410.4 459.1 498.0 529.8 557.1 592.8 641.5 668.8 704.5 753.3
 792.2 845.5 872.7 908.4 957.2 996.1  1049.4 1076.6 1112.3 1161.1 1200.0
 1088.3: 27.3 63.0 111.7 139.0 174.7 223.5 262.4 315.6 342.9 378.6 427.4 466.3 498.0 525.3 561.0 609.8 637.0 672.7 721.5 760.4
 813.7 841.0 876.6 925.4 964.3 1017.6 1044.9 1080.6 1129.3 1168.2 1200.0
 1115.5: 35.7 84.5 111.7 147.4 196.2 235.1 288.4 315.6 351.3 400.1 439.0 470.8 498.0 533.7 582.5 609.8 645.5 694.2 733.1 786.4
 813.7 849.4 898.2 937.1 990.3 1017.6 1053.3 1102.1 1141.0 1172.7 1200.0
 1151.2: 48.8 76.0 111.7 160.5 199.4 252.7 279.9 315.6 364.4 403.3 435.1 462.3 498.0 546.8 574.1 609.8 658.5 697.5 750.7 778.0
 813.7 862.5 901.4 954.6 981.9 1017.6 1066.4 1105.3 1137.0 1164.3 1200.0
 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class:
  1:  27.2641   .. 53.2729 cents       2079/2048, 26.0089 cents           64/63, 27.2641 cents
  2:  59.0307   .. 92.1787 cents       45927/45056, 33.1480 cents         5120/5103, 5.7578 cents
  3:  94.7276   .. 140.9491 cents      177147/172480, 46.2215 cents       19712/19683, 2.5488 cents
  4:  133.6333  .. 176.6459 cents      6561/6400, 43.0126 cents           19600/19683,-7.3158 cents
  5:  170.7620  .. 203.9100 cents      45927/45056, 33.1480 cents         2883584/2893401,-5.8839 cents
  6:  206.4588  .. 257.1829 cents      59049/57344, 50.7241 cents         19712/19683, 2.5488 cents
  7:  245.3646  .. 296.0887 cents      59049/57344, 50.7241 cents         71680/72171,-11.8183 cents
  8:  294.1350  .. 344.8591 cents      59049/57344, 50.7241 cents         32768/32805,-1.9537 cents
  9:  321.3991  .. 380.5559 cents      8680203/8388608, 59.1568 cents     524288/531441,-23.4600 cents
 10:  357.0959  .. 407.8200 cents      59049/57344, 50.7241 cents         524288/531441,-23.4600 cents
 11:  405.8663  .. 456.5904 cents      59049/57344, 50.7241 cents         32768/32805,-1.9537 cents
 12:  444.7721  .. 495.4962 cents      59049/57344, 50.7241 cents         71680/72171,-11.8183 cents
 13:  498.0450  .. 531.1930 cents      45927/45056, 33.1480 cents         19712/19683, 2.5488 cents
 14:  525.3091  .. 568.3217 cents      6561/6400, 43.0126 cents           2883584/2893401,-5.8839 cents
 15:  557.0757  .. 607.2274 cents      1594323/1548800, 50.1517 cents     176000/177147,-11.2459 cents
 16:  592.7726  .. 642.9243 cents      1594323/1548800, 50.1517 cents     4743200/4782969,-14.4549 cents
 17:  631.6783  .. 674.6909 cents      6561/6400, 43.0126 cents           176000/177147,-11.2459 cents
 18:  668.8070  .. 701.9550 cents      45927/45056, 33.1480 cents         2883584/2893401,-5.8839 cents
 19:  704.5038  .. 755.2279 cents      59049/57344, 50.7241 cents         19712/19683, 2.5488 cents
 20:  743.4096  .. 794.1337 cents      59049/57344, 50.7241 cents         71680/72171,-11.8183 cents
 21:  792.1800  .. 842.9041 cents      59049/57344, 50.7241 cents         32768/32805,-1.9537 cents
 22:  819.4441  .. 878.6009 cents      8680203/8388608, 59.1568 cents     524288/531441,-23.4600 cents
 23:  855.1409  .. 905.8650 cents      59049/57344, 50.7241 cents         524288/531441,-23.4600 cents
 24:  903.9113  .. 954.6354 cents      59049/57344, 50.7241 cents         32768/32805,-1.9537 cents
 25:  942.8171  .. 993.5412 cents      59049/57344, 50.7241 cents         71680/72171,-11.8183 cents
 26:  996.0900  .. 1029.2380 cents     45927/45056, 33.1480 cents         19712/19683, 2.5488 cents
 27:  1023.3541 .. 1066.3667 cents     6561/6400, 43.0126 cents           2883584/2893401,-5.8839 cents
 28:  1059.0509 .. 1105.2724 cents     177147/172480, 46.2215 cents       19600/19683,-7.3158 cents
 29:  1107.8213 .. 1140.9693 cents     45927/45056, 33.1480 cents         19712/19683, 2.5488 cents
 30:  1146.7271 .. 1172.7359 cents     2079/2048, 26.0089 cents           5120/5103, 5.7578 cents
SHOW DATA
Number of notes                     : 31
-- Interval properties --
Smallest interval                   : 64/63, 27.2641 cents, class 1
Average step (divided formal octave): 38.7097 cents
Largest one step interval           : 33/32, 53.2729 cents
Average / Smallest step             : 1.419804
Largest / Average step              : 1.376218
Largest / Smallest step             : 1.953960
Median interval of one step         : 49/48, 35.6968 cents, amount: 7
Least squares average step          : 38.64623 cents, oct.:  1198.03318 cents
Scale is not proper
Step pattern alph. order: ABCDEABCDFABCABCDEABCDEABCDFABC
Step pattern size order : ACEDFACEDBACEACEDFACEDFACEDBACE
Scale is a Constant Structure, by a margin of 0.39576 cents
Scale diversity                     : 1.509316
Lumma stability                     : 0.067781
Lumma impropriety factor            : 0.186702
Number of different interval sizes  : 284 = 9.46667 / class
Number of one step interval sizes   : 6
Highest interval variety            : 14
Mean interval variety               : 9.46667 = 142/15
Median interval variety             : 6
Lowest interval variety             : 6
Smallest interval difference        : 4375/4374, 0.3958 cents
Most common intervals               : 4/3, 498.0450 cents & inv., amount: 23
Most common triad is 0.0 498.045 701.955 cents, amount: 15
Number of recognisable fifths       : 29, average 702.5081 cents
Number of appreciable fifths        : 28, average 702.0211 cents
Scale contains two identical disjunct "tetrachords" of 14 notes
Scale contains a complete diamond   : 1 3 15
All steps are superparticular (epimoric)
Length of longest harmonic part     : 1 at degree 0
Length of longest subharmonic part  : 1 at degree 0
Formal octave complements present   : 11 = 35.4839%
Scale is differentially coherent in interval class 1
-- Rational properties --
Prime limit                         : 11
Odd number limit                    : 15309 (O: 15309 U: 15309)
Highest odd numerator or denominator: 189
Scale harmonicity                   : 0.011780
Average absolute harmonicity        : 0.105382
Specific harmonicity                : 0.081600
Fundamental                         : 1/498960, -18.9286 octaves, 0.0005 Hz.
Guide tone                          : 725760,  19.4691 octaves, 189877370.273 Hz.
Exponens Consonantiae               : 3.621252E+11, 38.39770 octaves
Euler's gradus suavitatis           : 59
Sum of Mann's harmonic distance     : 905.5, average 29.20968
Mersenne's string divisions         : too high to compute
Sum of van Prooijen's expressibility: 36.14262, average 1.16589
Sum of Tenney's harmonic distance   : 72.79041, average 2.34808
Vogel's harmonic complexity         : 38.06452
Wille's k value                     : 420997
Wilson's harmonic complexity        : 59
Rectangular lattice diameter        : 13
Triangular lattice diameter         : 8
Lattice compactness                 : 2296.13396, average 4.62930
Lattice compactness (without 2's)   : 1361.06812, average 2.74409
Number of different primes          : 5
Prime exponents' range, average, count, tones@limit:
  2:  -4 .. 8         1.35484   82    1
  3:  -4 .. 4        -0.22581   49    4
  5:  -1 .. 1         0.03226   11    7
  7:  -1 .. 1         0.00000   14    14
 11:  -1 .. 0        -0.16129   5     5
Average exponent except 2's         :-11 / 31 =-0.35484
Average absolute exponent except 2's: 79 / 31 = 2.54839
Scale is weakly epimorphic with val: <31 49 72 86 107|
Scale is JI-epimorphic with val: <31 49 72 87 107| = patent
FIT/MODE
 31:  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: 9.2691 c. M:-19.6393 c. 
 32:  1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 0 1 2 1 1 1 1 1 1 1 1 1 1   N   D3   SD: 9.4916 c. M: 17.0471 c. 
 34:  1 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1 2 1 1 1 1 1 2 1 1 1 1 1 1 1 1   N   D3   SD: 10.3258 c. M:-21.9062 c. 
 35:  1 1 1 1 2 1 1 1 1 1 1 1 2 0 1 2 1 1 1 1 2 1 1 1 1 2 1 1 1 1 1   N   D3   SD: 9.8003 c. M:-16.2407 c. 
 37:  1 1 1 2 1 1 1 2 1 1 1 1 1 1 1 2 1 2 0 2 1 1 2 1 1 1 2 1 0 2 1   N   T3   SD: 9.3809 c. M:-16.3379 c. 
 39:  1 1 2 1 2 1 1 1 2 1 0 2 1 1 1 2 1 2 1 1 1 2 1 1 1 2 1 1 1 1 2   N        SD: 9.7005 c. M:-14.9798 c. 
 40:  1 1 2 1 2 1 1 2 1 1 1 1 2 0 2 1 2 1 1 1 2 1 2 1 1 2 1 1 1 1 2   N        SD: 8.4256 c. M: 15.3091 c. 
 41:  1 1 2 1 2 1 1 2 1 1 1 1 2 1 1 2 1 2 1 1 2 1 2 1 1 2 1 1 1 1 2   N   D3 S SD: 4.5878 c. M: 10.2502 c. 
 53:  1 2 2 2 2 1 2 2 2 1 1 2 2 1 2 2 2 2 1 2 2 2 2 1 2 2 2 1 1 2 2   N        SD: 4.5635 c. M:-7.9217 c. 
 72:  2 2 3 2 3 2 2 3 2 2 2 2 3 2 2 3 2 3 2 2 3 2 3 2 2 3 2 2 2 2 3   P   D3 S SD: 3.7429 c. M:-8.0242 c. 
 76:  2 2 3 3 3 2 2 3 2 2 2 2 4 1 3 3 2 3 2 2 4 2 3 2 2 3 3 2 2 2 3   N        SD: 4.9435 c. M:-7.4151 c. 
 77:  2 2 3 3 3 2 2 3 3 2 2 2 3 2 2 3 3 3 2 2 3 3 3 2 2 3 3 2 2 2 3   N        SD: 3.4374 c. M:-7.2014 c. 
 82:  2 2 4 2 4 2 2 4 2 2 2 3 3 2 2 4 2 4 2 2 4 2 4 2 2 4 2 2 2 3 3   N        SD: 3.9958 c. M:-6.7940 c. 
 84:  2 2 4 3 3 2 3 3 3 2 2 2 4 2 2 4 2 4 2 3 3 3 3 2 3 3 3 2 2 3 3   N        SD: 3.7913 c. M:-6.5127 c. 
 85:  2 2 4 3 3 2 3 3 3 2 2 3 3 2 3 3 3 4 2 2 4 2 4 2 3 3 3 2 2 3 3   N        SD: 3.7965 c. M: 6.4903 c. 
 87:  2 3 3 3 4 2 2 4 3 2 2 3 3 2 3 3 3 4 2 3 3 3 4 2 2 4 3 2 2 3 3   N        SD: 3.5520 c. M:-7.4979 c. 
 89:  2 3 3 3 4 2 3 3 3 3 2 2 4 2 3 3 3 4 2 3 3 3 4 2 3 3 3 3 2 2 4   N        SD: 3.5223 c. M: 6.3603 c. 
 90:  2 3 3 3 4 2 3 4 3 2 2 3 3 2 3 4 3 4 2 2 4 3 4 2 3 3 3 3 2 2 4   N        SD: 3.6888 c. M:-5.4529 c. 
 94:  2 3 4 3 4 2 3 4 3 2 2 3 4 2 3 4 3 4 2 3 4 3 4 2 3 4 3 2 2 3 4   N        SD: 2.5024 c. M: 5.0672 c. 
 99:  2 3 4 3 5 2 3 4 3 3 2 3 4 2 3 4 3 5 2 3 4 3 5 2 3 4 3 3 2 3 4   N        SD: 2.5382 c. M: 6.2578 c. 
 114: 3 3 5 3 5 3 3 5 4 3 2 4 4 3 3 5 4 5 2 4 4 4 5 3 3 5 3 3 3 3 5   N        SD: 2.9456 c. M:-4.3149 c. 
 118: 3 3 5 4 5 3 3 5 4 3 3 3 5 3 3 5 4 5 3 3 5 4 5 3 3 5 4 3 3 3 5   N        SD: 1.9248 c. M:-3.5045 c. 
 130: 3 4 5 4 6 3 4 5 4 4 3 4 5 3 4 5 4 6 3 4 5 4 6 3 4 5 4 4 3 4 5   N        SD: 1.8602 c. M: 4.1944 c. 
 152: 3 5 6 5 7 3 5 6 5 4 3 5 6 4 4 6 5 7 3 5 6 5 7 3 5 6 5 4 3 5 6   N        SD: 1.6737 c. M:-3.6383 c. 
 165: 4 5 6 6 7 4 5 6 6 4 4 5 6 4 5 7 5 8 3 5 7 5 8 3 5 7 5 5 3 5 7   N        SD: 2.0189 c. M:-3.4995 c. 
 166: 4 5 6 6 7 4 5 7 5 4 4 5 7 4 5 6 6 7 4 5 7 5 7 4 5 7 5 5 3 5 7   N        SD: 1.8721 c. M:-3.2976 c. 
 169: 4 5 7 5 8 4 5 6 6 4 4 5 7 4 5 7 5 8 4 5 7 5 8 3 5 7 6 4 4 5 7   N        SD: 1.9855 c. M: 3.2153 c. 
 171: 4 5 7 5 8 4 5 7 6 4 4 5 7 4 5 7 5 8 4 5 7 5 8 4 5 7 6 4 4 5 7   N        SD: 1.3719 c. M: 3.4693 c. 
 176: 4 5 7 6 8 4 5 7 6 5 4 5 7 4 5 7 6 8 4 5 7 6 8 4 5 7 6 5 4 5 7   N        SD: 1.4831 c. M: 2.9581 c. 
 183: 4 6 7 6 8 4 6 7 6 5 4 6 7 4 6 7 6 8 4 6 7 6 8 4 6 7 6 5 4 6 7   N        SD: 1.4175 c. M:-3.1844 c. 
 193: 4 6 8 6 9 4 6 8 6 5 4 6 8 4 6 8 6 9 4 6 8 6 9 4 6 8 6 5 4 6 8   N        SD: 1.4526 c. M: 3.2151 c. 
 201: 5 6 8 6 9 5 6 8 6 6 4 6 8 5 6 8 7 9 4 6 8 7 9 4 6 8 7 5 5 6 8   N        SD: 1.6394 c. M:-2.7107 c. 
 203: 5 6 8 6 9 5 6 8 7 5 5 6 8 5 6 8 7 9 4 6 9 6 9 5 6 8 7 5 5 6 8   N        SD: 1.5500 c. M: 2.9248 c. 
 207: 5 6 8 7 9 5 6 8 7 6 4 6 9 5 6 8 7 9 5 6 8 7 9 5 6 9 6 6 4 7 8   N        SD: 1.5392 c. M: 2.8978 c. 
 208: 5 6 8 7 9 5 6 9 6 6 5 6 8 5 6 9 6 10 4 7 8 7 9 5 6 8 7 6 4 7 8   N        SD: 1.6282 c. M: 2.6240 c. 
 212: 5 6 9 7 9 5 6 9 7 5 5 6 9 5 6 9 7 9 5 6 9 7 9 5 6 9 7 5 5 6 9   N        SD: 1.3200 c. M:-2.2613 c. 
 217: 5 6 9 7 10 5 6 9 7 6 5 6 9 5 6 9 7 10 5 6 9 7 10 5 6 9 7 6 5 6 9   N        SD: 1.1574 c. M: 2.4806 c. 
 224: 5 7 9 7 10 5 7 9 7 6 5 7 9 5 7 9 7 10 5 7 9 7 10 5 7 9 7 6 5 7 9   N        SD: 0.8012 c. M:-1.4941 c. 
 270: 6 8 11 9 12 6 8 11 9 7 6 8 11 6 8 11 9 12 6 8 11 9 12 6 8 11 9 7 6 8 11   N        SD: 0.5590 c. M:-1.2757 c. 
 301: 7 9 12 10 13 7 9 12 10 8 7 9 12 7 9 12 10 13 7 9 12 10 13 7 9 12 10 8 7 9 12   N        SD: 0.6557 c. M:-1.2237 c. 
 342: 8 10 14 11 15 8 10 14 11 9 8 10 14 8 10 14 11 15 8 10 14 11 15 8 10 14 11 9 8 10 14   N        SD: 0.4215 c. M:-1.0067 c. 
 400: 9 12 16 13 18 9 12 16 13 11 9 12 16 9 12 16 13 18 9 12 16 13 18 9 12 16 13 11 9 12 16   N        SD: 0.4757 c. M: 0.7763 c. 
 441: 10 13 18 14 20 10 13 18 14 12 10 13 18 10 13 18 14 20 10 13 18 14 20 10 13 18 14 12 10 13 18   N        SD: 0.4022 c. M: 1.0630 c. 
 494: 11 15 20 16 22 11 15 20 16 13 11 15 20 11 15 20 16 22 11 15 20 16 22 11 15 20 16 13 11 15 20   N        SD: 0.2857 c. M: 0.6223 c. 
 612: 14 18 25 20 27 14 18 25 20 16 14 18 25 14 18 25 20 27 14 18 25 20 27 14 18 25 20 16 14 18 25   N        SD: 0.1968 c. M:-0.3607 c. 
 836: 19 25 34 27 37 19 25 34 27 22 19 25 34 19 25 34 27 37 19 25 34 27 37 19 25 34 27 22 19 25 34   N        SD: 0.1366 c. M:-0.2716 c. 
 1106: 25 33 45 36 49 25 33 45 36 29 25 33 45 25 33 45 36 49 25 33 45 36 49 25 33 45 36 29 25 33 45   N        SD: 0.1188 c. M:-0.2791 c. 
 1236: 28 37 50 40 55 28 37 50 40 33 28 37 50 28 37 50 40 55 28 37 50 40 55 28 37 50 40 33 28 37 50   N        SD: 0.1199 c. M:-0.2399 c. 
 1277: 29 38 52 41 57 29 38 52 41 34 29 38 52 29 38 52 41 57 29 38 52 41 57 29 38 52 41 34 29 38 52   N        SD: 0.1275 c. M: 0.2874 c. 
 1354: 31 40 55 44 60 31 40 55 44 36 31 40 55 31 40 55 44 60 31 40 55 44 60 31 40 55 44 36 31 40 55   N        SD: 0.1242 c. M:-0.3070 c. 
 1448: 33 43 59 47 64 33 43 59 47 38 33 43 59 33 43 59 47 64 33 43 59 47 64 33 43 59 47 38 33 43 59   N        SD: 0.1045 c. M:-0.2130 c. 
 1547: 35 46 63 50 69 35 46 63 50 41 35 46 63 35 46 63 50 69 35 46 63 50 69 35 46 63 50 41 35 46 63   N        SD: 0.0980 c. M: 0.2011 c. 
 1848: 42 55 75 60 82 42 55 75 60 49 42 55 75 42 55 75 60 82 42 55 75 60 82 42 55 75 60 49 42 55 75   N        SD: 0.0351 c. M:-0.0760 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: 7.1688 cents
 4 .. 8  match: 4  H SD: 0.0000 cents
 5 .. 10  match: 5  H SD: 4.3013 cents
 6 .. 12  match: 6  H SD: 3.7767 cents
 7 .. 14  match: 7  H SD: 4.0426 cents
 8 .. 16  match: 8  H SD: 1.9341 cents
 9 .. 18  match: 9  H SD: 4.6446 cents
 10 .. 20  match: 10  H SD: 2.9586 cents
 11 .. 22  match: 11  H SD: 3.2348 cents
 12 .. 24  match: 12  H SD: 2.8259 cents
 13 .. 26  match: 13  H SD: 3.5312 cents
 14 .. 28  match: 14  H SD: 2.9010 cents
 15 .. 30  match: 15  H SD: 2.8769 cents
 16 .. 32  match: 16  H SD: 2.5465 cents
 17 .. 34  match: 17  H SD: 2.6973 cents
 18 .. 36  match: 18  H SD: 2.7835 cents
 19 .. 38  match: 19  H SD: 3.2489 cents
 20 .. 40  match: 20  H SD: 2.1556 cents
 21 .. 42  match: 21  H SD: 2.7395 cents
 22 .. 44  match: 22  H SD: 2.5022 cents
 23 .. 46  match: 22    SD: 2.3028 cents
 24 .. 48  match: 23    SD: 1.7832 cents
 25 .. 50  match: 24  S SD: 2.1394 cents
 26 .. 52  match: 25  S SD: 2.3831 cents
 27 .. 54  match: 23    SD: 2.4411 cents
 28 .. 56  match: 26  S SD: 2.3061 cents
 29 .. 58  match: 26    SD: 2.0499 cents
 30 .. 60  match: 26    SD: 1.7584 cents
 31 .. 62  match: 27    SD: 1.4490 cents
 32 .. 64  match: 27    SD: 1.8699 cents
 33 .. 66  match: 28    SD: 1.8205 cents
 34 .. 68  match: 29    SD: 1.7500 cents
 35 .. 70  match: 27    SD: 1.7799 cents
 36 .. 72  match: 29    SD: 1.5808 cents
 37 .. 74  match: 28    SD: 2.0445 cents
 38 .. 76  match: 26    SD: 1.9069 cents
 39 .. 78  match: 29    SD: 1.9250 cents
 40 .. 80  match: 30    SD: 1.4324 cents
 41 .. 82  match: 30    SD: 1.6324 cents
 42 .. 84  match: 30    SD: 1.4972 cents
 44 .. 88  match: 30    SD: 1.3298 cents
 45 .. 90  match: 30    SD: 1.3825 cents
 46 .. 92  match: 30    SD: 1.5665 cents
 47 .. 94  match: 31    SD: 1.3636 cents
 48 .. 96  match: 31    SD: 1.0895 cents
 50 .. 100  match: 30    SD: 1.2362 cents
 52 .. 104  match: 30    SD: 1.2175 cents
 54 .. 108  match: 31    SD: 1.1304 cents
 55 .. 110  match: 31    SD: 0.9982 cents
 56 .. 112  match: 31    SD: 0.9895 cents
 57 .. 114  match: 31    SD: 0.9667 cents
 64 .. 128  match: 31    SD: 0.9349 cents
 70 .. 140  match: 31    SD: 0.8768 cents
 71 .. 142  match: 31    SD: 0.8082 cents
 74 .. 148  match: 31    SD: 0.7981 cents
 78 .. 156  match: 31    SD: 0.7691 cents
 80 .. 160  match: 31    SD: 0.7459 cents
 84 .. 168  match: 31    SD: 0.7275 cents
 88 .. 176  match: 31    SD: 0.6243 cents
 104 .. 208  match: 31    SD: 0.5583 cents
 105 .. 210  match: 31    SD: 0.5293 cents
 112 .. 224  match: 31    SD: 0.5108 cents
 119 .. 238  match: 31    SD: 0.4567 cents
 132 .. 264  match: 31    SD: 0.4180 cents
 144 .. 288  match: 31    SD: 0.3852 cents
 160 .. 320  match: 31    SD: 0.3809 cents
 167 .. 334  match: 31    SD: 0.3679 cents
 168 .. 336  match: 31    SD: 0.3246 cents
 175 .. 350  match: 31    SD: 0.3243 cents
 176 .. 352  match: 31    SD: 0.3229 cents
 180 .. 360  match: 31    SD: 0.3154 cents
 185 .. 370  match: 31    SD: 0.2863 cents
 209 .. 418  match: 31    SD: 0.2777 cents
 216 .. 432  match: 31    SD: 0.2698 cents
 220 .. 440  match: 31    SD: 0.2691 cents
 239 .. 478  match: 31    SD: 0.2468 cents
 240 .. 480  match: 31    SD: 0.1812 cents
 300 .. 600  match: 31    SD: 0.1721 cents
 330 .. 660  match: 31    SD: 0.1512 cents
 360 .. 720  match: 31    SD: 0.1451 cents
 378 .. 756  match: 31    SD: 0.1384 cents
 384 .. 768  match: 31    SD: 0.1317 cents
 431 .. 862  match: 31    SD: 0.1297 cents
 432 .. 864  match: 31    SD: 0.1179 cents
 496 .. 992  match: 31    SD: 0.1094 cents
 504 .. 1008  match: 31    SD: 0.0987 cents
 559 .. 1118  match: 31    SD: 0.0948 cents
 560 .. 1120  match: 31    SD: 0.0945 cents