Scala analysis: wilclav

Erv Wilson's clavochord scale from Xenharmonikon 4

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

SHOW
  0:          1/1               0.000000 unison, perfect prime
  1:         45/44             38.905773 1/5-tone
  2:         12/11            150.637059 undecimal neutral second, 3/4-tone
  3:          9/8             203.910002 major whole tone
  4:         40/33            333.040771
  5:          5/4             386.313714 major third
  6:         14/11            417.507964 undecimal diminished fourth or major third
  7:         21/16            470.780907 narrow fourth
  8:         15/11            536.950772 undecimal augmented fourth
  9:         11/8             551.317942 undecimal semi-augmented fourth
 10:         45/32            590.223716 diatonic tritone
 11:          3/2             701.955001 perfect fifth
 12:         18/11            852.592059 undecimal neutral sixth
 13:         27/16            905.865003 Pythagorean major sixth
 14:         12/7             933.129094 septimal major sixth
 15:          7/4             968.825906 harmonic seventh
 16:         20/11           1034.995772 large minor seventh
 17:         15/8            1088.268715 classic major seventh
 18:         21/11           1119.462965 undecimal major seventh
 19:          2/1            1200.000000 octave
SHOW/INTERVAL
  0:         22/21             80.5370 undecimal minor semitone
  1:         45/44             38.9058 1/5-tone
  2:         16/15            111.7313 minor diatonic semitone
  3:         33/32             53.2729 undecimal comma, al-Farabi's 1/4-tone
  4:        320/297           129.1308 
  5:         33/32             53.2729 undecimal comma, al-Farabi's 1/4-tone
  6:         56/55             31.1943 undecimal diesis, konbini comma
  7:         33/32             53.2729 undecimal comma, al-Farabi's 1/4-tone
  8:         80/77             66.1699 
  9:        121/120            14.3672 undecimal seconds comma, biyatisma
 10:         45/44             38.9058 1/5-tone
 11:         16/15            111.7313 minor diatonic semitone
 12:         12/11            150.6371 undecimal neutral second, 3/4-tone
 13:         33/32             53.2729 undecimal comma, al-Farabi's 1/4-tone
 14:         64/63             27.2641 septimal comma, Archytas' comma
 15:         49/48             35.6968 slendro diesis, septimal 1/6-tone
 16:         80/77             66.1699 
 17:         33/32             53.2729 undecimal comma, al-Farabi's 1/4-tone
 18:         56/55             31.1943 undecimal diesis, konbini comma
 19:         22/21             80.5370 undecimal minor semitone
SHOW INTERVALS
Interval class, Number of incidences, Size:
  1:   1 121/120             14.367 cents   undecimal seconds comma, biyatisma
  1:   1 64/63               27.264 cents   septimal comma, Archytas' comma
  1:   2 56/55               31.194 cents   undecimal diesis, konbini comma
  1:   1 49/48               35.697 cents   slendro diesis, septimal 1/6-tone
  1:   2 45/44               38.906 cents   1/5-tone
  1:   5 33/32               53.273 cents   undecimal comma, al-Farabi's 1/4-tone
  1:   2 80/77               66.170 cents   
  1:   1 22/21               80.537 cents   undecimal minor semitone
  1:   2 16/15               111.731 cents  minor diatonic semitone
  1:   1 320/297             129.131 cents  
  1:   1 12/11               150.637 cents  undecimal neutral second, 3/4-tone
  2:   1 33/32               53.273 cents   undecimal comma, al-Farabi's 1/4-tone
  2:   1 28/27               62.961 cents   Archytas' 1/3-tone
  2:   2 22/21               80.537 cents   undecimal minor semitone
  2:   3 21/20               84.467 cents   minor semitone
  2:   1 35/33               101.867 cents  
  2:   1 16/15               111.731 cents  minor diatonic semitone
  2:   3 15/14               119.443 cents  major diatonic semitone
  2:   2 12/11               150.637 cents  undecimal neutral second, 3/4-tone
  2:   1 11/10               165.004 cents  Ptolemy's second, 4/5-tone
  2:   2 10/9                182.404 cents  minor whole tone
  2:   1 9/8                 203.910 cents  major whole tone
  2:   1 64/55               262.368 cents  
  3:   1 77/72               116.234 cents  undecimal secor
  3:   1 15/14               119.443 cents  major diatonic semitone
  3:   1 320/297             129.131 cents  
  3:   1 121/112             133.810 cents  
  3:   1 693/640             137.740 cents  
  3:   3 12/11               150.637 cents  undecimal neutral second, 3/4-tone
  3:   1 35/32               155.140 cents  septimal neutral second
  3:   2 11/10               165.004 cents  Ptolemy's second, 4/5-tone
  3:   1 9/8                 203.910 cents  major whole tone
  3:   1 112/99              213.598 cents  
  3:   2 8/7                 231.174 cents  septimal whole tone
  3:   1 55/48               235.677 cents  undecimal semi-augmented whole tone
  3:   1 32/27               294.135 cents  Pythagorean minor third
  3:   1 144/121             301.274 cents  two (undecimal neutral second, 3/4-tone)
  3:   1 6/5                 315.641 cents  minor third
  4:   1 11/10               165.004 cents  Ptolemy's second, 4/5-tone
  4:   1 495/448             172.716 cents  
  4:   2 10/9                182.404 cents  minor whole tone
  4:   1 49/44               186.334 cents  undecimal minor whole tone
  4:   2 9/8                 203.910 cents  major whole tone
  4:   2 8/7                 231.174 cents  septimal whole tone
  4:   1 64/55               262.368 cents  
  4:   3 7/6                 266.871 cents  septimal minor third
  4:   1 33/28               284.447 cents  undecimal minor third
  4:   1 6/5                 315.641 cents  minor third
  4:   1 40/33               333.041 cents  
  4:   1 128/105             342.905 cents  septimal neutral third
  4:   1 11/9                347.408 cents  undecimal neutral third
  4:   1 27/22               354.547 cents  neutral third, Zalzal wosta of al-Farabi
  5:   1 9/8                 203.910 cents  major whole tone
  5:   1 112/99              213.598 cents  
  5:   1 363/320             218.277 cents  
  5:   1 55/48               235.677 cents  undecimal semi-augmented whole tone
  5:   1 7/6                 266.871 cents  septimal minor third
  5:   1 90/77               270.080 cents  
  5:   1 33/28               284.447 cents  undecimal minor third
  5:   2 6/5                 315.641 cents  minor third
  5:   1 77/64               320.144 cents  Keemun minor third
  5:   2 40/33               333.041 cents  
  5:   1 99/80               368.914 cents  
  5:   2 56/45               378.602 cents  septimal narrow major third
  5:   2 96/77               381.811 cents  
  5:   1 5/4                 386.314 cents  major third
  5:   1 80/63               413.578 cents  wide major third
  6:   1 297/256             257.183 cents  
  6:   1 7/6                 266.871 cents  septimal minor third
  6:   1 32/27               294.135 cents  Pythagorean minor third
  6:   1 105/88              305.777 cents  
  6:   1 6/5                 315.641 cents  minor third
  6:   1 11/9                347.408 cents  undecimal neutral third
  6:   1 99/80               368.914 cents  
  6:   1 96/77               381.811 cents  
  6:   2 5/4                 386.314 cents  major third
  6:   1 44/35               396.178 cents  
  6:   2 14/11               417.508 cents  undecimal diminished fourth or major third
  6:   1 77/60               431.875 cents  
  6:   2 9/7                 435.084 cents  septimal major third, BP third
  6:   2 128/99              444.772 cents  
  6:   1 55/42               466.851 cents  
  7:   1 40/33               333.041 cents  
  7:   1 11/9                347.408 cents  undecimal neutral third
  7:   1 99/80               368.914 cents  
  7:   1 5/4                 386.314 cents  major third
  7:   1 121/96              400.681 cents  
  7:   2 14/11               417.508 cents  undecimal diminished fourth or major third
  7:   1 77/60               431.875 cents  
  7:   1 9/7                 435.084 cents  septimal major third, BP third
  7:   1 64/49               462.348 cents  2 septatones or septatonic major third
  7:   1 72/55               466.278 cents  undecimal semi-diminished fourth
  7:   1 21/16               470.781 cents  narrow fourth
  7:   1 160/121             483.678 cents  
  7:   1 297/224             488.357 cents  
  7:   5 4/3                 498.045 cents  perfect fourth
  8:   1 5/4                 386.314 cents  major third
  8:   1 165/128             439.587 cents  
  8:   1 128/99              444.772 cents  
  8:   1 21/16               470.781 cents  narrow fourth
  8:   4 4/3                 498.045 cents  perfect fourth
  8:   1 121/90              512.412 cents  
  8:   1 66/49               515.621 cents  
  8:   2 27/20               519.551 cents  acute fourth
  8:   2 224/165             529.239 cents  
  8:   2 15/11               536.951 cents  undecimal augmented fourth
  8:   2 11/8                551.318 cents  undecimal semi-augmented fourth
  8:   1 320/231             564.215 cents  
  9:   2 4/3                 498.045 cents  perfect fourth
  9:   1 15/11               536.951 cents  undecimal augmented fourth
  9:   1 48/35               546.815 cents  septimal semi-augmented fourth
  9:   5 11/8                551.318 cents  undecimal semi-augmented fourth
  9:   1 320/231             564.215 cents  
  9:   1 168/121             568.145 cents  
  9:   1 891/640             572.824 cents  
  9:   2 7/5                 582.512 cents  septimal or Huygens' tritone, BP fourth
  9:   1 140/99              599.912 cents  quasi-equal tritone
  9:   1 64/45               609.776 cents  2nd tritone
  9:   2 10/7                617.488 cents  Euler's tritone
  9:   1 16/11               648.682 cents  undecimal semi-diminished fifth
 10:   1 11/8                551.318 cents  undecimal semi-augmented fourth
 10:   2 7/5                 582.512 cents  septimal or Huygens' tritone, BP fourth
 10:   1 45/32               590.224 cents  diatonic tritone
 10:   1 99/70               600.088 cents  2nd quasi-equal tritone
 10:   2 10/7                617.488 cents  Euler's tritone
 10:   1 1280/891            627.176 cents  
 10:   1 121/84              631.855 cents  
 10:   1 231/160             635.785 cents  
 10:   5 16/11               648.682 cents  undecimal semi-diminished fifth
 10:   1 35/24               653.185 cents  septimal semi-diminished fifth
 10:   1 22/15               663.049 cents  undecimal diminished fifth
 10:   2 3/2                 701.955 cents  perfect fifth
 11:   1 231/160             635.785 cents  
 11:   2 16/11               648.682 cents  undecimal semi-diminished fifth
 11:   2 22/15               663.049 cents  undecimal diminished fifth
 11:   2 165/112             670.761 cents  
 11:   2 40/27               680.449 cents  grave fifth
 11:   1 49/33               684.379 cents  
 11:   1 180/121             687.588 cents  
 11:   4 3/2                 701.955 cents  perfect fifth
 11:   1 32/21               729.219 cents  wide fifth
 11:   1 99/64               755.228 cents  
 11:   1 256/165             760.413 cents  
 11:   1 8/5                 813.686 cents  minor sixth
 12:   5 3/2                 701.955 cents  perfect fifth
 12:   1 448/297             711.643 cents  
 12:   1 121/80              716.322 cents  
 12:   1 32/21               729.219 cents  wide fifth
 12:   1 55/36               733.722 cents  undecimal semi-augmented fifth
 12:   1 49/32               737.652 cents  
 12:   1 14/9                764.916 cents  septimal minor sixth
 12:   1 120/77              768.125 cents  
 12:   2 11/7                782.492 cents  undecimal augmented fifth
 12:   1 192/121             799.319 cents  
 12:   1 8/5                 813.686 cents  minor sixth
 12:   1 160/99              831.086 cents  
 12:   1 18/11               852.592 cents  undecimal neutral sixth
 12:   1 33/20               866.959 cents  
 13:   1 84/55               733.149 cents  
 13:   2 99/64               755.228 cents  
 13:   2 14/9                764.916 cents  septimal minor sixth
 13:   1 120/77              768.125 cents  
 13:   2 11/7                782.492 cents  undecimal augmented fifth
 13:   1 35/22               803.822 cents  
 13:   2 8/5                 813.686 cents  minor sixth
 13:   1 77/48               818.189 cents  
 13:   1 160/99              831.086 cents  
 13:   1 18/11               852.592 cents  undecimal neutral sixth
 13:   1 5/3                 884.359 cents  major sixth, BP sixth
 13:   1 176/105             894.223 cents  
 13:   1 27/16               905.865 cents  Pythagorean major sixth
 13:   1 12/7                933.129 cents  septimal major sixth
 13:   1 512/297             942.817 cents  
 14:   1 63/40               786.422 cents  narrow minor sixth
 14:   1 8/5                 813.686 cents  minor sixth
 14:   2 77/48               818.189 cents  
 14:   2 45/28               821.398 cents  septimale wide minor sixth
 14:   1 160/99              831.086 cents  
 14:   2 33/20               866.959 cents  
 14:   1 128/77              879.856 cents  
 14:   2 5/3                 884.359 cents  major sixth, BP sixth
 14:   1 56/33               915.553 cents  
 14:   1 77/45               929.920 cents  
 14:   1 12/7                933.129 cents  septimal major sixth
 14:   1 96/55               964.323 cents  
 14:   1 640/363             981.723 cents  
 14:   1 99/56               986.402 cents  
 14:   1 16/9                996.090 cents  Pythagorean minor seventh
 15:   1 44/27               845.453 cents  neutral sixth
 15:   1 18/11               852.592 cents  undecimal neutral sixth
 15:   1 105/64              857.095 cents  septimal neutral sixth
 15:   1 33/20               866.959 cents  
 15:   1 5/3                 884.359 cents  major sixth, BP sixth
 15:   1 56/33               915.553 cents  
 15:   3 12/7                933.129 cents  septimal major sixth
 15:   1 55/32               937.632 cents  
 15:   2 7/4                 968.826 cents  harmonic seventh
 15:   2 16/9                996.090 cents  Pythagorean minor seventh
 15:   1 88/49               1013.666 cents undecimal minor seventh
 15:   2 9/5                 1017.596 cents just minor seventh, BP seventh
 15:   1 896/495             1027.284 cents 
 15:   1 20/11               1034.996 cents large minor seventh
 16:   1 5/3                 884.359 cents  major sixth, BP sixth
 16:   1 121/72              898.726 cents  
 16:   1 27/16               905.865 cents  Pythagorean major sixth
 16:   1 96/55               964.323 cents  
 16:   2 7/4                 968.826 cents  harmonic seventh
 16:   1 99/56               986.402 cents  
 16:   1 16/9                996.090 cents  Pythagorean minor seventh
 16:   2 20/11               1034.996 cents large minor seventh
 16:   1 64/35               1044.860 cents septimal neutral seventh
 16:   3 11/6                1049.363 cents undecimal neutral seventh, 21/4-tone
 16:   1 1280/693            1062.260 cents 
 16:   1 224/121             1066.190 cents 
 16:   1 297/160             1070.869 cents 
 16:   1 28/15               1080.557 cents grave major seventh
 16:   1 144/77              1083.766 cents 
 17:   1 55/32               937.632 cents  
 17:   1 16/9                996.090 cents  Pythagorean minor seventh
 17:   2 9/5                 1017.596 cents just minor seventh, BP seventh
 17:   1 20/11               1034.996 cents large minor seventh
 17:   2 11/6                1049.363 cents undecimal neutral seventh, 21/4-tone
 17:   3 28/15               1080.557 cents grave major seventh
 17:   1 15/8                1088.269 cents classic major seventh
 17:   1 66/35               1098.133 cents 
 17:   3 40/21               1115.533 cents acute major seventh
 17:   2 21/11               1119.463 cents undecimal major seventh
 17:   1 27/14               1137.039 cents septimal major seventh
 17:   1 64/33               1146.727 cents 33rd subharmonic
 18:   1 11/6                1049.363 cents undecimal neutral seventh, 21/4-tone
 18:   1 297/160             1070.869 cents 
 18:   2 15/8                1088.269 cents classic major seventh
 18:   1 21/11               1119.463 cents undecimal major seventh
 18:   2 77/40               1133.830 cents 
 18:   5 64/33               1146.727 cents 33rd subharmonic
 18:   2 88/45               1161.094 cents 
 18:   1 96/49               1164.303 cents 
 18:   2 55/28               1168.806 cents 
 18:   1 63/32               1172.736 cents octave - septimal comma
 18:   1 240/121             1185.633 cents 
Highest number of different intervals for one interval class: 15
Average number of different intervals per interval class: 13.33333 = 40/3
SHOW/LINE/CENTS INTERVALS
         1     2     3     4     5     6     7     8     9     10    11    12    13    14    15     16     17     18     19    
 0.0   : 38.9  150.6 203.9 333.0 386.3 417.5 470.8 537.0 551.3 590.2 702.0 852.6 905.9 933.1 968.8  1035.0 1088.3 1119.5 1200.0
 38.9  : 111.7 165.0 294.1 347.4 378.6 431.9 498.0 512.4 551.3 663.0 813.7 867.0 894.2 929.9 996.1  1049.4 1080.6 1161.1 1200.0
 150.6 : 53.3  182.4 235.7 266.9 320.1 386.3 400.7 439.6 551.3 702.0 755.2 782.5 818.2 884.4 937.6  968.8  1049.4 1088.3 1200.0
 203.9 : 129.1 182.4 213.6 266.9 333.0 347.4 386.3 498.0 648.7 702.0 729.2 764.9 831.1 884.4 915.6  996.1  1035.0 1146.7 1200.0
 333.0 : 53.3  84.5  137.7 203.9 218.3 257.2 368.9 519.6 572.8 600.1 635.8 702.0 755.2 786.4 867.0  905.9  1017.6 1070.9 1200.0
 386.3 : 31.2  84.5  150.6 165.0 203.9 315.6 466.3 519.6 546.8 582.5 648.7 702.0 733.1 813.7 852.6  964.3  1017.6 1146.7 1200.0
 417.5 : 53.3  119.4 133.8 172.7 284.4 435.1 488.4 515.6 551.3 617.5 670.8 702.0 782.5 821.4 933.1  986.4  1115.5 1168.8 1200.0
 470.8 : 66.2  80.5  119.4 231.2 381.8 435.1 462.3 498.0 564.2 617.5 648.7 729.2 768.1 879.9 933.1  1062.3 1115.5 1146.7 1200.0
 537.0 : 14.4  53.3  165.0 315.6 368.9 396.2 431.9 498.0 551.3 582.5 663.0 702.0 813.7 867.0 996.1  1049.4 1080.6 1133.8 1200.0
 551.3 : 38.9  150.6 301.3 354.5 381.8 417.5 483.7 537.0 568.1 648.7 687.6 799.3 852.6 981.7 1035.0 1066.2 1119.5 1185.6 1200.0
 590.2 : 111.7 262.4 315.6 342.9 378.6 444.8 498.0 529.2 609.8 648.7 760.4 813.7 942.8 996.1 1027.3 1080.6 1146.7 1161.1 1200.0
 702.0 : 150.6 203.9 231.2 266.9 333.0 386.3 417.5 498.0 537.0 648.7 702.0 831.1 884.4 915.6 968.8  1035.0 1049.4 1088.3 1200.0
 852.6 : 53.3  80.5  116.2 182.4 235.7 266.9 347.4 386.3 498.0 551.3 680.4 733.7 764.9 818.2 884.4  898.7  937.6  1049.4 1200.0
 905.9 : 27.3  63.0  129.1 182.4 213.6 294.1 333.0 444.8 498.0 627.2 680.4 711.6 764.9 831.1 845.5  884.4  996.1  1146.7 1200.0
 933.1 : 35.7  101.9 155.1 186.3 266.9 305.8 417.5 470.8 599.9 653.2 684.4 737.7 803.8 818.2 857.1  968.8  1119.5 1172.7 1200.0
 968.8 : 66.2  119.4 150.6 231.2 270.1 381.8 435.1 564.2 617.5 648.7 702.0 768.1 782.5 821.4 933.1  1083.8 1137.0 1164.3 1200.0
 1035.0: 53.3  84.5  165.0 203.9 315.6 368.9 498.0 551.3 582.5 635.8 702.0 716.3 755.2 867.0 1017.6 1070.9 1098.1 1133.8 1200.0
 1088.3: 31.2  111.7 150.6 262.4 315.6 444.8 498.0 529.2 582.5 648.7 663.0 702.0 813.7 964.3 1017.6 1044.9 1080.6 1146.7 1200.0
 1119.5: 80.5  119.4 231.2 284.4 413.6 466.9 498.0 551.3 617.5 631.9 670.8 782.5 933.1 986.4 1013.7 1049.4 1115.5 1168.8 1200.0
 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class:
  1:  14.3672   .. 150.6371 cents      1440/1331, 136.2699 cents          121/120, 14.3672 cents
  2:  53.2729   .. 262.3683 cents      2048/1815, 209.0954 cents          121/128,-97.3641 cents
  3:  116.2338  .. 315.6413 cents      432/385, 199.4074 cents            4235/4608,-146.1345 cents
  4:  165.0042  .. 354.5471 cents      135/121, 189.5428 cents            11/12,-150.6371 cents
  5:  203.9100  .. 413.5778 cents      640/567, 209.6678 cents            11/12,-150.6371 cents
  6:  257.1829  .. 466.8507 cents      640/567, 209.6678 cents            18711/20480,-156.3949 cents
  7:  333.0408  .. 498.0450 cents      11/10, 165.0042 cents              112/121,-133.8100 cents
  8:  386.3137  .. 564.2149 cents      256/231, 177.9012 cents            15/16,-111.7313 cents
  9:  498.0450  .. 648.6821 cents      12/11, 150.6371 cents              77/80,-66.1699 cents
 10:  551.3179  .. 701.9550 cents      12/11, 150.6371 cents              121/128,-97.3641 cents
 11:  635.7851  .. 813.6863 cents      256/231, 177.9012 cents            77/80,-66.1699 cents
 12:  701.9550  .. 866.9592 cents      11/10, 165.0042 cents              15/16,-111.7313 cents
 13:  733.1493  .. 942.8171 cents      640/567, 209.6678 cents            112/121,-133.8100 cents
 14:  786.4222  .. 996.0900 cents      640/567, 209.6678 cents            18711/20480,-156.3949 cents
 15:  845.4529  .. 1034.9958 cents     135/121, 189.5428 cents            11/12,-150.6371 cents
 16:  884.3587  .. 1083.7662 cents     432/385, 199.4074 cents            11/12,-150.6371 cents
 17:  937.6317  .. 1146.7271 cents     2048/1815, 209.0954 cents          4235/4608,-146.1345 cents
 18:  1049.3629 .. 1185.6328 cents     1440/1331, 136.2699 cents          121/128,-97.3641 cents
SHOW DATA
Number of notes                     : 19
-- Interval properties --
Smallest interval                   : 121/120, 14.3672 cents, class 1
Average step (divided formal octave): 63.1579 cents
Largest one step interval           : 12/11, 150.6371 cents
Average / Smallest step             : 4.395987
Largest / Average step              : 2.385087
Largest / Smallest step             : 10.484811
Median interval of one step         : 33/32, 53.2729 cents, amount: 5
Most common interval of one step    : 33/32, 53.2729 cents, amount: 5
Least squares average step          : 64.98451 cents, oct.:  1234.70573 cents
Scale is not proper
Step pattern alph. order: ABCDCECFGABHCIJFCEK
Step pattern size order : EIFJFCFGAEIKFBDGFCH
Scale is not a Constant Structure
Scale diversity                     : 1.604494
Lumma stability                     : 0.023945
Lumma impropriety factor            : 0.911212
Number of different interval sizes  : 148 = 8.22222 / class
Number of one step interval sizes   : 11
Highest interval variety            : 15
Mean interval variety               : 13.33333 = 40/3
Median interval variety             : 11.5
Lowest interval variety             : 11
Smallest interval difference        : 9801/9800, 0.1766 cents
Most common intervals               : 4/3, 498.0450 cents & inv., amount: 11
Most common triad is 0.0 498.045 701.955 cents, amount: 5
Number of recognisable fifths       : 14, average 702.6470 cents
Number of appreciable fifths        : 12, average 702.7623 cents
Length of longest harmonic part     : 1 at degree 0
Length of longest subharmonic part  : 1 at degree 0
Formal octave complements present   : 1 = 5.2632%
Scale is n-1 differentially coherent in interval class 1
Scale is n-1 differentially coherent in interval classes 2 and 3 combined
Scale is n-1 differentially coherent in interval classes 3 and 4 combined
Scale is differentially coherent in interval classes 4 and 5 combined
-- Rational properties --
Prime limit                         : 11
Odd number limit                    : 891 (O: 891 U: 891)
Highest odd numerator or denominator: 45
Scale harmonicity                   : 0.012195
Average absolute harmonicity        : 0.120081
Specific harmonicity                : 0.086742
Fundamental                         : 1/7392, -12.8517 octaves, 0.0354 Hz.
Guide tone                          : 83160,  16.3436 octaves, 21756782.010 Hz.
Exponens Consonantiae               : 6.147187E+08, 29.19535 octaves
Euler's gradus suavitatis           : 53
Sum of Mann's harmonic distance     : 295.5, average 15.55263
Mersenne's string divisions         : too high to compute
Sum of van Prooijen's expressibility: 20.28042, average 1.06739
Sum of Tenney's harmonic distance   : 39.89835, average 2.09991
Vogel's harmonic complexity         : 26.68421
Wille's k value                     : 5197
Wilson's harmonic complexity        : 53
Rectangular lattice diameter        : 9
Triangular lattice diameter         : 5
Lattice compactness                 : 661.55045, average 3.48184
Lattice compactness (without 2's)   : 340.16840, average 1.79036
Number of different primes          : 5
Prime exponents' range, average, count, tones@limit:
  2:  -5 .. 3        -0.89474   41    1
  3:  -1 .. 3         0.89474   19    3
  5:   0 .. 1         0.36842   7     3
  7:  -1 .. 1         0.15789   5     3
 11:  -1 .. 1        -0.36842   9     9
Average exponent except 2's         : 20 / 19 = 1.05263
Average absolute exponent except 2's: 40 / 19 = 2.10526
FIT/MODE
 19:  0 2 1 2 1 0 1 1 1 0 2 2 1 1 0 1 1 1 1   N        SD: 22.9864 c. M: 38.9058 c. 
 20:  1 2 0 3 0 1 1 1 0 1 2 2 1 1 0 1 1 1 1   N        SD: 17.2532 c. M:-29.3629 c. 
 21:  1 2 1 2 1 0 1 1 1 0 2 3 1 0 1 1 1 1 1   N        SD: 15.7830 c. M:-24.6614 c. 
 22:  1 2 1 2 1 1 1 1 0 1 2 3 1 0 1 1 1 1 1   N        SD: 13.4474 c. M:-25.9916 c. 
 24:  1 2 1 3 1 0 1 2 0 1 2 3 1 1 0 2 1 0 2   N        SD: 12.6600 c. M: 20.7809 c. 
 28:  1 3 1 3 1 1 1 2 0 1 2 4 1 1 1 1 1 1 2   N        SD: 11.1514 c. M:-20.7915 c. 
 29:  1 2 2 3 1 1 1 2 0 1 3 3 2 0 1 2 1 1 2   N        SD: 12.7516 c. M: 26.4991 c. 
 30:  1 3 1 3 2 0 2 1 1 1 3 3 2 0 1 2 1 1 2   N        SD: 11.0959 c. M:-18.0450 c. 
 31:  1 3 1 4 1 1 1 2 0 1 3 4 1 1 1 2 1 1 2   N        SD: 7.5868 c. M: 15.5424 c. 
 38:  1 4 1 5 1 1 2 2 0 2 3 5 2 1 1 2 1 1 3   N        SD: 9.8870 c. M: 14.5845 c. 
 41:  1 4 2 4 2 1 2 2 1 1 4 5 2 1 1 2 2 1 3   N        SD: 6.1381 c. M: 11.0896 c. 
 46:  2 4 2 5 2 1 2 3 0 2 4 6 2 1 1 3 2 1 3   N        SD: 6.6076 c. M:-13.2681 c. 
 53:  2 5 2 6 2 1 3 3 0 2 5 7 2 1 2 3 2 1 4   N        SD: 5.7462 c. M: 10.0290 c. 
 54:  2 5 2 6 2 2 2 3 1 2 5 6 3 1 2 3 2 1 4   N        SD: 6.1823 c. M:-9.7763 c. 
 57:  2 5 3 6 2 2 2 3 1 2 5 7 3 1 2 3 3 1 4   N        SD: 5.6633 c. M: 10.6350 c. 
 58:  2 5 3 6 3 1 3 3 1 2 5 7 3 1 2 3 3 1 4   N        SD: 4.7038 c. M:-9.7763 c. 
 61:  2 6 2 7 3 1 3 3 1 2 6 7 3 1 2 4 2 2 4   N        SD: 5.0672 c. M: 8.5389 c. 
 63:  2 6 3 7 2 2 3 3 1 2 6 8 3 1 2 3 3 2 4   N        SD: 4.4676 c. M:-9.8164 c. 
 65:  2 6 3 7 3 2 3 3 1 2 6 8 3 2 2 3 3 2 4   N        SD: 4.4956 c. M:-9.6356 c. 
 69:  2 7 3 7 3 2 3 4 1 2 6 9 3 2 2 4 3 1 5   N        SD: 4.5959 c. M:-8.4825 c. 
 71:  2 7 3 8 3 2 3 4 1 2 7 8 4 1 2 4 3 2 5   N        SD: 4.7712 c. M:-7.9042 c. 
 72:  2 7 3 8 3 2 3 4 1 2 7 9 3 2 2 4 3 2 5   N        SD: 3.4046 c. M: 6.8904 c. 
 86:  3 8 4 9 4 2 4 4 2 2 8 11 4 2 2 5 4 2 6   N        SD: 3.7648 c. M:-6.8216 c. 
 87:  3 8 4 9 4 2 4 5 1 3 8 11 4 2 2 5 4 2 6   N        SD: 2.4800 c. M:-4.8019 c. 
 89:  3 8 4 10 4 2 4 5 1 3 8 11 4 2 3 5 4 2 6   N        SD: 2.5271 c. M:-4.6975 c. 
 94:  3 9 4 10 4 3 4 5 1 3 9 12 4 2 3 5 4 3 6   N        SD: 2.1623 c. M:-3.9413 c. 
 118: 4 11 5 13 5 3 5 7 1 4 11 15 5 3 3 7 5 3 8   N        SD: 1.6950 c. M: 2.9843 c. 
 130: 4 12 6 14 6 3 6 7 2 4 12 16 6 3 4 7 6 3 9   N        SD: 1.6536 c. M: 3.3613 c. 
 152: 5 14 7 16 7 4 7 8 2 5 14 19 7 3 5 8 7 4 10   N        SD: 1.3775 c. M:-2.9033 c. 
 181: 6 17 8 19 8 5 8 10 2 6 17 23 8 4 5 10 8 5 12   N        SD: 1.3205 c. M:-2.6566 c. 
 183: 6 17 8 20 8 5 8 10 2 6 17 23 8 4 6 10 8 5 12   N        SD: 1.0892 c. M:-2.1642 c. 
 224: 7 21 10 24 10 6 10 12 3 7 21 28 10 5 7 12 10 6 15   N        SD: 0.7668 c. M: 1.4058 c. 
 270: 9 25 12 29 12 7 12 15 3 9 25 34 12 6 8 15 12 7 18   N        SD: 0.5577 c. M:-1.0942 c. 
 311: 10 29 14 33 14 8 14 17 4 10 29 39 14 7 9 17 14 8 21   N        SD: 0.5564 c. M: 1.2080 c. 
 342: 11 32 15 37 15 9 15 19 4 11 32 43 15 8 10 19 15 9 23   N        SD: 0.3703 c. M: 0.7500 c. 
 494: 16 46 22 53 22 13 22 27 6 16 46 62 22 11 15 27 22 13 33   N        SD: 0.2214 c. M:-0.4742 c. 
 612: 20 57 27 66 27 16 27 34 7 20 57 77 27 14 18 34 27 16 41   N        SD: 0.2151 c. M:-0.3491 c. 
 742: 24 69 33 80 33 19 33 41 9 24 69 93 33 17 22 41 33 19 50   N        SD: 0.1681 c. M: 0.3255 c. 
 836: 27 78 37 90 37 22 37 46 10 27 78 105 37 19 25 46 37 22 56   N        SD: 0.1319 c. M: 0.2716 c. 
 1106: 36 103 49 119 49 29 49 61 13 36 103 139 49 25 33 61 49 29 74   N        SD: 0.1233 c. M:-0.2477 c. 
 1236: 40 115 55 133 55 32 55 68 15 40 115 155 55 28 37 68 55 32 83   N        SD: 0.0859 c. M: 0.1649 c. 
 1506: 49 140 67 162 67 39 67 83 18 49 140 189 67 34 45 83 67 39 101   N        SD: 0.1010 c. M:-0.2145 c. 
 1578: 51 147 70 170 70 41 70 87 19 51 147 198 70 36 47 87 70 41 106   N        SD: 0.0753 c. M: 0.1616 c. 
 1848: 60 172 82 199 82 48 82 102 22 60 172 232 82 42 55 102 82 48 124   N        SD: 0.0366 c. M:-0.0761 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: 11.5751 cents
 4 .. 8  match: 4  H SD: 0.0000 cents
 5 .. 10  match: 5  H SD: 9.3351 cents
 6 .. 12  match: 6  H SD: 12.2206 cents
 7 .. 14  match: 7  H SD: 11.9387 cents
 8 .. 16  match: 8  H SD: 1.5080 cents
 9 .. 18  match: 9  H SD: 10.4809 cents
 10 .. 20  match: 10  H SD: 5.3768 cents
 11 .. 22  match: 10    SD: 6.9014 cents
 12 .. 24  match: 11  S SD: 6.8828 cents
 13 .. 26  match: 12  S SD: 6.9550 cents
 14 .. 28  match: 13    SD: 5.1314 cents
 15 .. 30  match: 13    SD: 5.8960 cents
 16 .. 32  match: 15  S SD: 5.0003 cents
 17 .. 34  match: 12    SD: 4.5552 cents
 18 .. 36  match: 14    SD: 6.0264 cents
 19 .. 38  match: 14    SD: 5.2290 cents
 20 .. 40  match: 15  S SD: 4.9036 cents
 21 .. 42  match: 18  S SD: 4.8634 cents
 22 .. 44  match: 17    SD: 3.2730 cents
 23 .. 46  match: 16    SD: 3.7727 cents
 24 .. 48  match: 17    SD: 3.3170 cents
 25 .. 50  match: 18    SD: 3.1063 cents
 26 .. 52  match: 18    SD: 3.7608 cents
 27 .. 54  match: 16    SD: 3.8225 cents
 28 .. 56  match: 17    SD: 3.2396 cents
 29 .. 58  match: 18    SD: 2.8940 cents
 30 .. 60  match: 16    SD: 2.9218 cents
 31 .. 62  match: 18    SD: 2.7572 cents
 32 .. 64  match: 18    SD: 1.4177 cents
 33 .. 66  match: 18    SD: 2.0279 cents
 34 .. 68  match: 18    SD: 2.2337 cents
 35 .. 70  match: 18    SD: 2.3845 cents
 36 .. 72  match: 19    SD: 2.3307 cents
 38 .. 76  match: 17    SD: 2.1339 cents
 39 .. 78  match: 19    SD: 1.9809 cents
 40 .. 80  match: 18    SD: 2.0769 cents
 41 .. 82  match: 18    SD: 1.7347 cents
 42 .. 84  match: 18    SD: 1.5848 cents
 43 .. 86  match: 18    SD: 1.9680 cents
 44 .. 88  match: 19    SD: 1.6072 cents
 46 .. 92  match: 18    SD: 1.8705 cents
 47 .. 94  match: 19    SD: 1.4989 cents
 48 .. 96  match: 19    SD: 1.4054 cents
 49 .. 98  match: 18    SD: 1.6978 cents
 51 .. 102  match: 18    SD: 1.6174 cents
 52 .. 104  match: 19    SD: 1.4410 cents
 54 .. 108  match: 18    SD: 1.5162 cents
 55 .. 110  match: 19    SD: 1.1917 cents
 56 .. 112  match: 19    SD: 1.1849 cents
 57 .. 114  match: 18    SD: 1.3301 cents
 62 .. 124  match: 18    SD: 1.5088 cents
 63 .. 126  match: 19    SD: 1.3556 cents
 64 .. 128  match: 19    SD: 1.1224 cents
 65 .. 130  match: 18    SD: 1.3728 cents
 66 .. 132  match: 19    SD: 1.1823 cents
 71 .. 142  match: 19    SD: 1.1655 cents
 72 .. 144  match: 19    SD: 1.1641 cents
 73 .. 146  match: 18    SD: 1.2396 cents
 74 .. 148  match: 19    SD: 1.0271 cents
 77 .. 154  match: 19    SD: 0.8445 cents
 80 .. 160  match: 19    SD: 0.6628 cents
 88 .. 176  match: 19    SD: 0.6089 cents
 96 .. 192  match: 19    SD: 0.5674 cents
 121 .. 242  match: 19    SD: 0.5354 cents
 128 .. 256  match: 19    SD: 0.4770 cents
 143 .. 286  match: 19    SD: 0.4506 cents
 160 .. 320  match: 19    SD: 0.4029 cents
 175 .. 350  match: 19    SD: 0.3875 cents
 176 .. 352  match: 19    SD: 0.2481 cents
 231 .. 462  match: 19    SD: 0.2391 cents
 256 .. 512  match: 19    SD: 0.1865 cents
 320 .. 640  match: 19    SD: 0.1634 cents
 352 .. 704  match: 19    SD: 0.0962 cents
 448 .. 896  match: 19    SD: 0.0922 cents
 528 .. 1056  match: 19    SD: 0.0630 cents