Scala analysis: enn45ji

Detempered Ennealimma[45], Hahn reduced

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

SHOW
  0:          1/1               0.000000 unison, perfect prime
  1:         49/48             35.696812 slendro diesis, septimal 1/6-tone
  2:         36/35             48.770381 septimal diesis, 1/4-tone
  3:         21/20             84.467193 minor semitone
  4:        200/189            97.936519
  5:         27/25            133.237575 large limma, BP small semitone, Zarlino semitone
  6:         54/49            168.213190 Zalzal's mujannab
  7:         10/9             182.403712 minor whole tone
  8:        245/216           218.100524
  9:          8/7             231.174094 septimal whole tone
 10:          7/6             266.870906 septimal minor third
 11:         25/21            301.846520 BP second, quasi-equal minor third
 12:          6/5             315.641287 minor third
 13:         49/40            351.338099 larger approximation to neutral third
 14:        216/175           364.411668
 15:         63/50            400.108480 quasi-equal major third
 16:          9/7             435.084095 septimal major third, BP third
 17:         35/27            449.274618 septimal semi-diminished fourth, 9/4-tone
 18:        250/189           484.250233
 19:          4/3             498.044999 perfect fourth
 20:         49/36            533.741811 Arabic lute acute fourth
 21:         25/18            568.717426 classic augmented fourth
 22:          7/5             582.512193 septimal or Huygens' tritone, BP fourth
 23:         10/7             617.487807 Euler's tritone
 24:         36/25            631.282574 classic diminished fifth
 25:         72/49            666.258189 Arabic lute grave fifth
 26:          3/2             701.955001 perfect fifth
 27:        189/125           715.749767
 28:         54/35            750.725382 septimal semi-augmented fifth
 29:         14/9             764.915905 septimal minor sixth
 30:        100/63            799.891520 quasi-equal minor sixth
 31:        175/108           835.588332
 32:         49/30            849.383098 larger approximation to neutral sixth
 33:          5/3             884.358713 major sixth, BP sixth
 34:         42/25            898.153480 quasi-equal major sixth
 35:         12/7             933.129094 septimal major sixth
 36:          7/4             968.825906 harmonic seventh
 37:        432/245           981.899476
 38:          9/5            1017.596288 just minor seventh, BP seventh
 39:         49/27           1031.786810
 40:         50/27           1066.762425 grave major seventh
 41:        189/100          1102.063481
 42:         40/21           1115.532807 acute major seventh
 43:         35/18           1151.229619 septimal semi-diminished octave
 44:         49/25           1165.024385 BP eighth
 45:          2/1            1200.000000 octave
SHOW/INTERVAL
  0:         50/49             34.9756 Erlich's decatonic comma, tritonic diesis
  1:         49/48             35.6968 slendro diesis, septimal 1/6-tone
  2:       1728/1715           13.0736 Orwell comma
  3:         49/48             35.6968 slendro diesis, septimal 1/6-tone
  4:       4000/3969           13.4693 small septimal comma
  5:       5103/5000           35.3011 
  6:         50/49             34.9756 Erlich's decatonic comma, tritonic diesis
  7:        245/243            14.1905 minor BP diesis, Sensamagic comma
  8:         49/48             35.6968 slendro diesis, septimal 1/6-tone
  9:       1728/1715           13.0736 Orwell comma
 10:         49/48             35.6968 slendro diesis, septimal 1/6-tone
 11:         50/49             34.9756 Erlich's decatonic comma, tritonic diesis
 12:        126/125            13.7948 septimal semicomma, Starling comma
 13:         49/48             35.6968 slendro diesis, septimal 1/6-tone
 14:       1728/1715           13.0736 Orwell comma
 15:         49/48             35.6968 slendro diesis, septimal 1/6-tone
 16:         50/49             34.9756 Erlich's decatonic comma, tritonic diesis
 17:        245/243            14.1905 minor BP diesis, Sensamagic comma
 18:         50/49             34.9756 Erlich's decatonic comma, tritonic diesis
 19:        126/125            13.7948 septimal semicomma, Starling comma
 20:         49/48             35.6968 slendro diesis, septimal 1/6-tone
 21:         50/49             34.9756 Erlich's decatonic comma, tritonic diesis
 22:        126/125            13.7948 septimal semicomma, Starling comma
 23:         50/49             34.9756 Erlich's decatonic comma, tritonic diesis
 24:        126/125            13.7948 septimal semicomma, Starling comma
 25:         50/49             34.9756 Erlich's decatonic comma, tritonic diesis
 26:         49/48             35.6968 slendro diesis, septimal 1/6-tone
 27:        126/125            13.7948 septimal semicomma, Starling comma
 28:         50/49             34.9756 Erlich's decatonic comma, tritonic diesis
 29:        245/243            14.1905 minor BP diesis, Sensamagic comma
 30:         50/49             34.9756 Erlich's decatonic comma, tritonic diesis
 31:         49/48             35.6968 slendro diesis, septimal 1/6-tone
 32:        126/125            13.7948 septimal semicomma, Starling comma
 33:         50/49             34.9756 Erlich's decatonic comma, tritonic diesis
 34:        126/125            13.7948 septimal semicomma, Starling comma
 35:         50/49             34.9756 Erlich's decatonic comma, tritonic diesis
 36:         49/48             35.6968 slendro diesis, septimal 1/6-tone
 37:       1728/1715           13.0736 Orwell comma
 38:         49/48             35.6968 slendro diesis, septimal 1/6-tone
 39:        245/243            14.1905 minor BP diesis, Sensamagic comma
 40:         50/49             34.9756 Erlich's decatonic comma, tritonic diesis
 41:       5103/5000           35.3011 
 42:       4000/3969           13.4693 small septimal comma
 43:         49/48             35.6968 slendro diesis, septimal 1/6-tone
 44:        126/125            13.7948 septimal semicomma, Starling comma
 45:         50/49             34.9756 Erlich's decatonic comma, tritonic diesis
SHOW INTERVALS
Interval class, Number of incidences, Size:
  1:   4 1728/1715           13.074 cents   Orwell comma
  1:   2 4000/3969           13.469 cents   small septimal comma
  1:   8 126/125             13.795 cents   septimal semicomma, Starling comma
  1:   4 245/243             14.191 cents   minor BP diesis, Sensamagic comma
  1:  13 50/49               34.976 cents   Erlich's decatonic comma, tritonic diesis
  1:   2 5103/5000           35.301 cents   
  1:  12 49/48               35.697 cents   slendro diesis, septimal 1/6-tone
  2:  21 36/35               48.770 cents   septimal diesis, 1/4-tone
  2:   8 250/243             49.166 cents   maximal diesis, Porcupine comma
  2:   5 1029/1000           49.492 cents   keega
  2:   2 12005/11664         49.887 cents   
  2:   2 729/700             70.277 cents   
  2:   7 25/24               70.672 cents   classic chromatic semitone, minor chroma
  3:   1 3200/3087           62.240 cents   
  3:   3 648/625             62.565 cents   major diesis
  3:   5 28/27               62.961 cents   Archytas' 1/3-tone
  3:   9 360/343             83.746 cents   
  3:   2 12500/11907         84.142 cents   
  3:  21 21/20               84.467 cents   minor semitone
  3:   4 6125/5832           84.863 cents   
  4:   8 1296/1225           97.541 cents   two (septimal diesis, 1/4-tone)
  4:   9 200/189             97.937 cents   
  4:   5 1323/1250           98.262 cents   
  4:   5 343/324             98.658 cents   
  4:  12 15/14               119.443 cents  major diatonic semitone
  4:   2 3125/2916           119.839 cents  quasi-equal 10-tone semitone
  4:   4 343/320             120.164 cents  
  5:   3 2592/2401           132.516 cents  
  5:   2 10000/9261          132.912 cents  
  5:  22 27/25               133.238 cents  large limma, BP small semitone, Zarlino semitone
  5:  18 175/162             133.633 cents  
  6:   2 46656/42875         146.311 cents  
  6:   6 160/147             146.707 cents  
  6:   2 3402/3125           147.032 cents  
  6:   8 49/45               147.428 cents  BP minor semitone
  6:  10 54/49               168.213 cents  Zalzal's mujannab
  6:   6 625/567             168.609 cents  BP great semitone, major BP chroma
  6:   7 441/400             168.934 cents  two (minor semitone)
  6:   4 8575/7776           169.330 cents  
  7:  10 972/875             182.008 cents  
  7:  23 10/9                182.404 cents  minor whole tone
  7:   3 2401/2160           183.125 cents  
  7:   1 2700/2401           203.189 cents  
  7:   6 9/8                 203.910 cents  major whole tone
  7:   2 4375/3888           204.306 cents  
  8:   1 384/343             195.477 cents  
  8:   1 40000/35721         195.873 cents  
  8:   7 28/25               196.198 cents  middle second
  8:   6 1944/1715           216.984 cents  
  8:   9 500/441             217.379 cents  
  8:   8 567/500             217.705 cents  
  8:  13 245/216             218.101 cents  
  9:  20 8/7                 231.174 cents  septimal whole tone
  9:   1 35721/31250         231.500 cents  
  9:   6 343/300             231.895 cents  
  9:   7 81/70               252.680 cents  Al-Hwarizmi's lute middle finger
  9:   9 125/108             253.076 cents  semi-augmented whole tone
  9:   1 9261/8000           253.402 cents  
  9:   1 12005/10368         253.797 cents  
 10:  10 400/343             266.150 cents  
 10:   5 729/625             266.475 cents  two (large limma, BP small semitone, Zarlino semitone)
 10:  30 7/6                 266.871 cents  septimal minor third
 11:   8 288/245             279.944 cents  
 11:   2 2000/1701           280.340 cents  
 11:   6 147/125             280.666 cents  
 11:   2 1715/1458           281.061 cents  
 11:   3 1458/1225           301.451 cents  
 11:  16 25/21               301.847 cents  BP second, quasi-equal minor third
 11:   2 11907/10000         302.172 cents  
 11:   6 343/288             302.568 cents  
 12:   1 2880/2401           314.920 cents  
 12:  29 6/5                 315.641 cents  minor third
 12:   6 875/729             316.037 cents  
 12:   1 2916/2401           336.426 cents  two (Zalzal's mujannab)
 12:   1 1250/1029           336.822 cents  
 12:   2 243/200             337.148 cents  acute minor third
 12:   5 175/144             337.543 cents  
 13:   1 10368/8575          328.715 cents  
 13:   2 1600/1323           329.111 cents  
 13:   3 756/625             329.436 cents  
 13:   3 98/81               329.832 cents  
 13:  17 60/49               350.617 cents  smaller approximation to neutral third
 13:   2 6250/5103           351.013 cents  
 13:  17 49/40               351.338 cents  larger approximation to neutral third
 14:  14 216/175             364.412 cents  
 14:   9 100/81              364.807 cents  grave major third
 14:   2 3087/2500           365.133 cents  
 14:   2 2401/1944           365.529 cents  
 14:  18 5/4                 386.314 cents  major third
 15:  10 432/343             399.387 cents  
 15:   5 5000/3969           399.783 cents  
 15:  20 63/50               400.108 cents  quasi-equal major third
 15:  10 1225/972            400.504 cents  
 16:   4 7776/6125           413.182 cents  
 16:   8 80/63               413.578 cents  wide major third
 16:   2 3969/3125           413.903 cents  
 16:   4 343/270             414.299 cents  
 16:  16 9/7                 435.084 cents  septimal major third, BP third
 16:   6 625/486             435.480 cents  
 16:   4 1029/800            435.805 cents  
 16:   1 60025/46656         436.201 cents  
 17:   2 15552/12005         448.158 cents  
 17:   3 4000/3087           448.553 cents  
 17:  12 162/125             448.879 cents  
 17:  19 35/27               449.275 cents  septimal semi-diminished fourth, 9/4-tone
 17:   3 450/343             470.060 cents  
 17:   5 21/16               470.781 cents  narrow fourth
 17:   1 30625/23328         471.177 cents  
 18:   4 64/49               462.348 cents  2 septatones or septatonic major third
 18:   5 98/75               463.069 cents  
 18:  11 324/245             483.854 cents  
 18:  12 250/189             484.250 cents  
 18:   7 1323/1000           484.576 cents  
 18:   6 1715/1296           484.971 cents  
 19:   4 5832/4375           497.649 cents  
 19:  22 4/3                 498.045 cents  perfect fourth
 19:   1 2401/1800           498.766 cents  
 19:   1 3240/2401           518.830 cents  
 19:   1 12500/9261          519.226 cents  
 19:   9 27/20               519.551 cents  acute fourth
 19:   7 875/648             519.947 cents  
 20:   4 11664/8575          532.625 cents  
 20:  16 200/147             533.021 cents  
 20:   6 1701/1250           533.346 cents  
 20:  19 49/36               533.742 cents  Arabic lute acute fourth
 21:  12 48/35               546.815 cents  septimal semi-augmented fourth
 21:   2 1000/729            547.211 cents  
 21:   4 343/250             547.537 cents  
 21:   8 243/175             568.322 cents  
 21:  17 25/18               568.717 cents  classic augmented fourth
 21:   2 2401/1728           569.439 cents  
 22:   7 480/343             581.791 cents  
 22:   2 50000/35721         582.187 cents  
 22:  27 7/5                 582.512 cents  septimal or Huygens' tritone, BP fourth
 22:   2 486/343             603.297 cents  
 22:   2 625/441             603.693 cents  two (BP second, quasi-equal minor third)
 22:   2 567/400             604.018 cents  
 22:   3 1225/864            604.414 cents  
 23:   3 1728/1225           595.586 cents  
 23:   2 800/567             595.982 cents  
 23:   2 882/625             596.307 cents  
 23:   2 343/243             596.703 cents  
 23:  27 10/7                617.488 cents  Euler's tritone
 23:   2 35721/25000         617.813 cents  
 23:   7 343/240             618.209 cents  
 24:   2 3456/2401           630.561 cents  
 24:  17 36/25               631.283 cents  classic diminished fifth
 24:   8 350/243             631.678 cents  
 24:   4 500/343             652.463 cents  
 24:   2 729/500             652.789 cents  
 24:  12 35/24               653.185 cents  septimal semi-diminished fifth
 25:  19 72/49               666.258 cents  Arabic lute grave fifth
 25:   6 2500/1701           666.654 cents  
 25:  16 147/100             666.979 cents  
 25:   4 8575/5832           667.375 cents  
 26:   7 1296/875            680.053 cents  
 26:   9 40/27               680.449 cents  grave fifth
 26:   1 9261/6250           680.774 cents  
 26:   1 2401/1620           681.170 cents  
 26:   1 3600/2401           701.234 cents  two (smaller approximation to neutral third)
 26:  22 3/2                 701.955 cents  perfect fifth
 26:   4 4375/2916           702.351 cents  
 27:   6 2592/1715           715.029 cents  
 27:   7 2000/1323           715.424 cents  
 27:  12 189/125             715.750 cents  
 27:  11 245/162             716.146 cents  
 27:   5 75/49               736.931 cents  BP fifth
 27:   4 49/32               737.652 cents  
 28:   1 46656/30625         728.823 cents  
 28:   5 32/21               729.219 cents  wide fifth
 28:   3 343/225             729.940 cents  
 28:  19 54/35               750.725 cents  septimal semi-augmented fifth
 28:  12 125/81              751.121 cents  
 28:   3 3087/2000           751.447 cents  
 28:   2 12005/7776          751.842 cents  
 29:   1 93312/60025         763.799 cents  
 29:   4 1600/1029           764.195 cents  
 29:   6 972/625             764.520 cents  
 29:  16 14/9                764.916 cents  septimal minor sixth
 29:   4 540/343             785.701 cents  
 29:   2 6250/3969           786.097 cents  
 29:   8 63/40               786.422 cents  narrow minor sixth
 29:   4 6125/3888           786.818 cents  
 30:  10 1944/1225           799.496 cents  
 30:  20 100/63              799.892 cents  quasi-equal minor sixth
 30:   5 3969/2500           800.217 cents  two (quasi-equal major third)
 30:  10 343/216             800.613 cents  
 31:  18 8/5                 813.686 cents  minor sixth
 31:   2 3888/2401           834.471 cents  
 31:   2 5000/3087           834.867 cents  
 31:   9 81/50               835.193 cents  acute minor sixth
 31:  14 175/108             835.588 cents  
 32:  17 80/49               848.662 cents  smaller approximation to neutral sixth
 32:   2 5103/3125           848.987 cents  
 32:  17 49/30               849.383 cents  larger approximation to neutral sixth
 32:   3 81/49               870.168 cents  two (septimal major third, BP third)
 32:   3 625/378             870.564 cents  
 32:   2 1323/800            870.889 cents  
 32:   1 8575/5184           871.285 cents  
 33:   5 288/175             862.457 cents  
 33:   2 400/243             862.852 cents  grave major sixth
 33:   1 1029/625            863.178 cents  
 33:   1 2401/1458           863.574 cents  
 33:   6 1458/875            883.963 cents  
 33:  29 5/3                 884.359 cents  major sixth, BP sixth
 33:   1 2401/1440           885.080 cents  
 34:   6 576/343             897.432 cents  
 34:   2 20000/11907         897.828 cents  
 34:  16 42/25               898.153 cents  quasi-equal major sixth
 34:   3 1225/729            898.549 cents  two (septimal semi-diminished fourth, 9/4-tone)
 34:   2 2916/1715           918.939 cents  
 34:   6 250/147             919.334 cents  
 34:   2 1701/1000           919.660 cents  
 34:   8 245/144             920.056 cents  
 35:  30 12/7                933.129 cents  septimal major sixth
 35:   5 1250/729            933.525 cents  
 35:  10 343/200             933.850 cents  
 36:   1 20736/12005         946.203 cents  
 36:   1 16000/9261          946.598 cents  
 36:   9 216/125             946.924 cents  semi-augmented sixth
 36:   7 140/81              947.320 cents  
 36:   6 600/343             968.105 cents  
 36:   1 62500/35721         968.500 cents  
 36:  20 7/4                 968.826 cents  harmonic seventh
 37:  13 432/245             981.899 cents  
 37:   8 1000/567            982.295 cents  
 37:   9 441/250             982.621 cents  
 37:   6 1715/972            983.016 cents  
 37:   7 25/14               1003.802 cents middle minor seventh
 37:   1 35721/20000         1004.127 cents 
 37:   1 343/192             1004.523 cents 
 38:   2 7776/4375           995.694 cents  
 38:   6 16/9                996.090 cents  Pythagorean minor seventh
 38:   1 2401/1350           996.811 cents  
 38:   3 4320/2401           1016.875 cents 
 38:  23 9/5                 1017.596 cents just minor seventh, BP seventh
 38:  10 875/486             1017.992 cents 
 39:   4 15552/8575          1030.670 cents 
 39:   7 800/441             1031.066 cents 
 39:   6 1134/625            1031.391 cents 
 39:  10 49/27               1031.787 cents 
 39:   8 90/49               1052.572 cents 
 39:   2 3125/1701           1052.968 cents 
 39:   6 147/80              1053.293 cents 
 39:   2 42875/23328         1053.689 cents 
 40:  18 324/175             1066.367 cents 
 40:  22 50/27               1066.762 cents grave major seventh
 40:   2 9261/5000           1067.088 cents 
 40:   3 2401/1296           1067.484 cents two (Arabic lute acute fourth)
 41:   4 640/343             1079.836 cents 
 41:   2 5832/3125           1080.161 cents 
 41:  12 28/15               1080.557 cents grave major seventh
 41:   5 648/343             1101.342 cents 
 41:   5 2500/1323           1101.738 cents 
 41:   9 189/100             1102.063 cents 
 41:   8 1225/648            1102.459 cents 
 42:   4 11664/6125          1115.137 cents 
 42:  21 40/21               1115.533 cents acute major seventh
 42:   2 11907/6250          1115.858 cents 
 42:   9 343/180             1116.254 cents 
 42:   5 27/14               1137.039 cents septimal major seventh
 42:   3 625/324             1137.435 cents octave - major diesis
 42:   1 3087/1600           1137.760 cents 
 43:   7 48/25               1129.328 cents classic diminished octave
 43:   2 1400/729            1129.723 cents 
 43:   2 23328/12005         1150.113 cents 
 43:   5 2000/1029           1150.508 cents 
 43:   8 243/125             1150.834 cents octave - maximal diesis
 43:  21 35/18               1151.230 cents septimal semi-diminished octave
 44:  12 96/49               1164.303 cents 
 44:   2 10000/5103          1164.699 cents 
 44:  13 49/25               1165.024 cents BP eighth
 44:   4 486/245             1185.809 cents 
 44:   8 125/63              1186.205 cents 
 44:   2 3969/2000           1186.531 cents 
 44:   4 1715/864            1186.926 cents 
Highest number of different intervals for one interval class: 8
Average number of different intervals per interval class: 6.27273 = 69/11
SHOW/LINE/CENTS INTERVALS
         1    2    3    4     5     6     7     8     9     10    11    12    13    14    15    16    17    18    19    20   
 21    22    23    24    25    26    27    28    29    30    31    32    33    34    35    36    37     38     39     40    
 41     42     43     44     45    
 0.0   : 35.7 48.8 84.5 97.9  133.2 168.2 182.4 218.1 231.2 266.9 301.8 315.6 351.3 364.4 400.1 435.1 449.3 484.3 498.0 533.7
 568.7 582.5 617.5 631.3 666.3 702.0 715.7 750.7 764.9 799.9 835.6 849.4 884.4 898.2 933.1 968.8 981.9  1017.6 1031.8 1066.8
 1102.1 1115.5 1151.2 1165.0 1200.0
 35.7  : 13.1 48.8 62.2 97.5  132.5 146.7 182.4 195.5 231.2 266.1 279.9 315.6 328.7 364.4 399.4 413.6 448.6 462.3 498.0 533.0
 546.8 581.8 595.6 630.6 666.3 680.1 715.0 729.2 764.2 799.9 813.7 848.7 862.5 897.4 933.1 946.2 981.9  996.1  1031.1 1066.4
 1079.8 1115.5 1129.3 1164.3 1200.0
 48.8  : 35.7 49.2 84.5 119.4 133.6 169.3 182.4 218.1 253.1 266.9 302.6 315.6 351.3 386.3 400.5 435.5 449.3 485.0 519.9 533.7
 568.7 582.5 617.5 653.2 667.0 702.0 716.1 751.1 786.8 800.6 835.6 849.4 884.4 920.1 933.1 968.8 983.0  1018.0 1053.3 1066.8
 1102.5 1116.3 1151.2 1186.9 1200.0
 84.5  : 13.5 48.8 83.7 97.9  133.6 146.7 182.4 217.4 231.2 266.9 279.9 315.6 350.6 364.8 399.8 413.6 449.3 484.3 498.0 533.0
 546.8 581.8 617.5 631.3 666.3 680.4 715.4 751.1 764.9 799.9 813.7 848.7 884.4 897.4 933.1 947.3 982.3  1017.6 1031.1 1066.8
 1080.6 1115.5 1151.2 1164.3 1200.0
 97.9  : 35.3 70.3 84.5 120.2 133.2 168.9 203.9 217.7 253.4 266.5 302.2 337.1 351.3 386.3 400.1 435.8 470.8 484.6 519.6 533.3
 568.3 604.0 617.8 652.8 667.0 702.0 737.7 751.4 786.4 800.2 835.2 870.9 884.0 919.7 933.9 968.8 1004.1 1017.6 1053.3 1067.1
 1102.1 1137.8 1150.8 1186.5 1200.0
 133.2 : 35.0 49.2 84.9 97.9  133.6 168.6 182.4 218.1 231.2 266.9 301.8 316.0 351.0 364.8 400.5 435.5 449.3 484.3 498.0 533.0
 568.7 582.5 617.5 631.7 666.7 702.4 716.1 751.1 764.9 799.9 835.6 848.7 884.4 898.5 933.5 968.8 982.3  1018.0 1031.8 1066.8
 1102.5 1115.5 1151.2 1164.7 1200.0
 168.2 : 14.2 49.9 63.0 98.7  133.6 147.4 183.1 196.2 231.9 266.9 281.1 316.0 329.8 365.5 400.5 414.3 449.3 463.1 498.0 533.7
 547.5 582.5 596.7 631.7 667.4 681.2 716.1 729.9 764.9 800.6 813.7 849.4 863.6 898.5 933.9 947.3 983.0  996.8  1031.8 1067.5
 1080.6 1116.3 1129.7 1165.0 1200.0
 182.4 : 35.7 48.8 84.5 119.4 133.2 168.9 182.0 217.7 252.7 266.9 301.8 315.6 351.3 386.3 400.1 435.1 448.9 483.9 519.6 533.3
 568.3 582.5 617.5 653.2 667.0 702.0 715.7 750.7 786.4 799.5 835.2 849.4 884.4 919.7 933.1 968.8 982.6  1017.6 1053.3 1066.4
 1102.1 1115.5 1150.8 1185.8 1200.0
 218.1 : 13.1 48.8 83.7 97.5  133.2 146.3 182.0 217.0 231.2 266.1 279.9 315.6 350.6 364.4 399.4 413.2 448.2 483.9 497.6 532.6
 546.8 581.8 617.5 631.3 666.3 680.1 715.0 750.7 763.8 799.5 813.7 848.7 884.0 897.4 933.1 946.9 981.9  1017.6 1030.7 1066.4
 1079.8 1115.1 1150.1 1164.3 1200.0
 231.2 : 35.7 70.7 84.5 120.2 133.2 168.9 203.9 218.1 253.1 266.9 302.6 337.5 351.3 386.3 400.1 435.1 470.8 484.6 519.6 533.7
 568.7 604.4 618.2 653.2 667.0 702.0 737.7 750.7 786.4 800.6 835.6 870.9 884.4 920.1 933.9 968.8 1004.5 1017.6 1053.3 1066.8
 1102.1 1137.0 1151.2 1186.9 1200.0
 266.9 : 35.0 48.8 84.5 97.5  133.2 168.2 182.4 217.4 231.2 266.9 301.8 315.6 350.6 364.4 399.4 435.1 448.9 483.9 498.0 533.0
 568.7 582.5 617.5 631.3 666.3 702.0 715.0 750.7 764.9 799.9 835.2 848.7 884.4 898.2 933.1 968.8 981.9  1017.6 1031.1 1066.4
 1101.3 1115.5 1151.2 1164.3 1200.0
 301.8 : 13.8 49.5 62.6 98.3  133.2 147.4 182.4 196.2 231.9 266.9 280.7 315.6 329.4 364.4 400.1 413.9 448.9 463.1 498.0 533.7
 547.5 582.5 596.3 631.3 667.0 680.1 715.7 729.9 764.9 800.2 813.7 849.4 863.2 898.2 933.9 946.9 982.6  996.1  1031.4 1066.4
 1080.6 1116.3 1129.3 1165.0 1200.0
 315.6 : 35.7 48.8 84.5 119.4 133.6 168.6 182.4 218.1 253.1 266.9 301.8 315.6 350.6 386.3 400.1 435.1 449.3 484.3 519.9 533.7
 568.7 582.5 617.5 653.2 666.3 702.0 716.1 751.1 786.4 799.9 835.6 849.4 884.4 920.1 933.1 968.8 982.3  1017.6 1052.6 1066.8
 1102.5 1115.5 1151.2 1186.2 1200.0
 351.3 : 13.1 48.8 83.7 97.9  132.9 146.7 182.4 217.4 231.2 266.1 279.9 314.9 350.6 364.4 399.4 413.6 448.6 484.3 498.0 533.0
 546.8 581.8 617.5 630.6 666.3 680.4 715.4 750.7 764.2 799.9 813.7 848.7 884.4 897.4 933.1 946.6 981.9  1016.9 1031.1 1066.8
 1079.8 1115.5 1150.5 1164.3 1200.0
 364.4 : 35.7 70.7 84.9 119.8 133.6 169.3 204.3 218.1 253.1 266.9 301.8 337.5 351.3 386.3 400.5 435.5 471.2 485.0 519.9 533.7
 568.7 604.4 617.5 653.2 667.4 702.4 737.7 751.1 786.8 800.6 835.6 871.3 884.4 920.1 933.5 968.8 1003.8 1018.0 1053.7 1066.8
 1102.5 1137.4 1151.2 1186.9 1200.0
 400.1 : 35.0 49.2 84.1 97.9  133.6 168.6 182.4 217.4 231.2 266.1 301.8 315.6 350.6 364.8 399.8 435.5 449.3 484.3 498.0 533.0
 568.7 581.8 617.5 631.7 666.7 702.0 715.4 751.1 764.9 799.9 835.6 848.7 884.4 897.8 933.1 968.1 982.3  1018.0 1031.1 1066.8
 1101.7 1115.5 1151.2 1164.3 1200.0
 435.1 : 14.2 49.2 63.0 98.7  133.6 147.4 182.4 196.2 231.2 266.9 280.7 315.6 329.8 364.8 400.5 414.3 449.3 463.1 498.0 533.7
 546.8 582.5 596.7 631.7 667.0 680.4 716.1 729.9 764.9 800.6 813.7 849.4 862.9 898.2 933.1 947.3 983.0  996.1  1031.8 1066.8
 1080.6 1116.3 1129.3 1165.0 1200.0
 449.3 : 35.0 48.8 84.5 119.4 133.2 168.2 182.0 217.0 252.7 266.5 301.5 315.6 350.6 386.3 400.1 435.1 448.9 483.9 519.6 532.6
 568.3 582.5 617.5 652.8 666.3 702.0 715.7 750.7 786.4 799.5 835.2 848.7 884.0 918.9 933.1 968.8 981.9  1017.6 1052.6 1066.4
 1102.1 1115.1 1150.8 1185.8 1200.0
 484.3 : 13.8 49.5 84.5 98.3  133.2 147.0 182.0 217.7 231.5 266.5 280.7 315.6 351.3 365.1 400.1 413.9 448.9 484.6 497.6 533.3
 547.5 582.5 617.8 631.3 667.0 680.8 715.7 751.4 764.5 800.2 813.7 849.0 884.0 898.2 933.9 946.9 982.6  1017.6 1031.4 1067.1
 1080.2 1115.9 1150.8 1165.0 1200.0
 498.0 : 35.7 70.7 84.5 119.4 133.2 168.2 203.9 217.7 252.7 266.9 301.8 337.5 351.3 386.3 400.1 435.1 470.8 483.9 519.6 533.7
 568.7 604.0 617.5 653.2 667.0 702.0 737.7 750.7 786.4 799.9 835.2 870.2 884.4 920.1 933.1 968.8 1003.8 1017.6 1053.3 1066.4
 1102.1 1137.0 1151.2 1186.2 1200.0
 533.7 : 35.0 48.8 83.7 97.5  132.5 168.2 182.0 217.0 231.2 266.1 301.8 315.6 350.6 364.4 399.4 435.1 448.2 483.9 498.0 533.0
 568.3 581.8 617.5 631.3 666.3 702.0 715.0 750.7 764.2 799.5 834.5 848.7 884.4 897.4 933.1 968.1 981.9  1017.6 1030.7 1066.4
 1101.3 1115.5 1150.5 1164.3 1200.0
 568.7 : 13.8 48.8 62.6 97.5  133.2 147.0 182.0 196.2 231.2 266.9 280.7 315.6 329.4 364.4 400.1 413.2 448.9 463.1 498.0 533.3
 546.8 582.5 596.3 631.3 667.0 680.1 715.7 729.2 764.5 799.5 813.7 849.4 862.5 898.2 933.1 946.9 982.6  995.7  1031.4 1066.4
 1080.6 1115.5 1129.3 1165.0 1200.0
 582.5 : 35.0 48.8 83.7 119.4 133.2 168.2 182.4 217.4 253.1 266.9 301.8 315.6 350.6 386.3 399.4 435.1 449.3 484.3 519.6 533.0
 568.7 582.5 617.5 653.2 666.3 702.0 715.4 750.7 785.7 799.9 835.6 848.7 884.4 919.3 933.1 968.8 981.9  1017.6 1052.6 1066.8
 1101.7 1115.5 1151.2 1186.2 1200.0
 617.5 : 13.8 48.8 84.5 98.3  133.2 147.4 182.4 218.1 231.9 266.9 280.7 315.6 351.3 364.4 400.1 414.3 449.3 484.6 498.0 533.7
 547.5 582.5 618.2 631.3 667.0 680.4 715.7 750.7 764.9 800.6 813.7 849.4 884.4 898.2 933.9 946.9 982.6  1017.6 1031.8 1066.8
 1080.6 1116.3 1151.2 1165.0 1200.0
 631.3 : 35.0 70.7 84.5 119.4 133.6 168.6 204.3 218.1 253.1 266.9 301.8 337.5 350.6 386.3 400.5 435.5 470.8 484.3 519.9 533.7
 568.7 604.4 617.5 653.2 666.7 702.0 736.9 751.1 786.8 799.9 835.6 870.6 884.4 920.1 933.1 968.8 1003.8 1018.0 1053.0 1066.8
 1102.5 1137.4 1151.2 1186.2 1200.0
 666.3 : 35.7 49.5 84.5 98.7  133.6 169.3 183.1 218.1 231.9 266.9 302.6 315.6 351.3 365.5 400.5 435.8 449.3 485.0 498.8 533.7
 569.4 582.5 618.2 631.7 667.0 702.0 716.1 751.8 764.9 800.6 835.6 849.4 885.1 898.2 933.9 968.8 983.0  1018.0 1031.8 1067.5
 1102.5 1116.3 1151.2 1165.0 1200.0
 702.0 : 13.8 48.8 63.0 97.9  133.6 147.4 182.4 196.2 231.2 266.9 279.9 315.6 329.8 364.8 400.1 413.6 449.3 463.1 498.0 533.7
 546.8 582.5 596.0 631.3 666.3 680.4 716.1 729.2 764.9 799.9 813.7 849.4 862.5 898.2 933.1 947.3 982.3  996.1  1031.8 1066.8
 1080.6 1115.5 1129.3 1164.3 1200.0
 715.7 : 35.0 49.2 84.1 119.8 133.6 168.6 182.4 217.4 253.1 266.1 301.8 316.0 351.0 386.3 399.8 435.5 449.3 484.3 519.9 533.0
 568.7 582.2 617.5 652.5 666.7 702.4 715.4 751.1 786.1 799.9 835.6 848.7 884.4 919.3 933.5 968.5 982.3  1018.0 1053.0 1066.8
 1101.7 1115.5 1150.5 1186.2 1200.0
 750.7 : 14.2 49.2 84.9 98.7  133.6 147.4 182.4 218.1 231.2 266.9 281.1 316.0 351.3 364.8 400.5 414.3 449.3 485.0 498.0 533.7
 547.2 582.5 617.5 631.7 667.4 680.4 716.1 751.1 764.9 800.6 813.7 849.4 884.4 898.5 933.5 947.3 983.0  1018.0 1031.8 1066.8
 1080.6 1115.5 1151.2 1165.0 1200.0
 764.9 : 35.0 70.7 84.5 119.4 133.2 168.2 203.9 217.0 252.7 266.9 301.8 337.1 350.6 386.3 400.1 435.1 470.8 483.9 519.6 533.0
 568.3 603.3 617.5 653.2 666.3 702.0 736.9 750.7 786.4 799.5 835.2 870.2 884.4 919.3 933.1 968.8 1003.8 1017.6 1052.6 1066.4
 1101.3 1137.0 1150.8 1185.8 1200.0
 799.9 : 35.7 49.5 84.5 98.3  133.2 168.9 182.0 217.7 231.9 266.9 302.2 315.6 351.3 365.1 400.1 435.8 448.9 484.6 498.0 533.3
 568.3 582.5 618.2 631.3 667.0 702.0 715.7 751.4 764.5 800.2 835.2 849.4 884.4 898.2 933.9 968.8 982.6  1017.6 1031.4 1066.4
 1102.1 1115.9 1150.8 1165.0 1200.0
 835.6 : 13.8 48.8 62.6 97.5  133.2 146.3 182.0 196.2 231.2 266.5 279.9 315.6 329.4 364.4 400.1 413.2 448.9 462.3 497.6 532.6
 546.8 582.5 595.6 631.3 666.3 680.1 715.7 728.8 764.5 799.5 813.7 848.7 862.5 898.2 933.1 946.9 981.9  995.7  1030.7 1066.4
 1080.2 1115.1 1129.3 1164.3 1200.0
 849.4 : 35.0 48.8 83.7 119.4 132.5 168.2 182.4 217.4 252.7 266.1 301.8 315.6 350.6 386.3 399.4 435.1 448.6 483.9 518.8 533.0
 568.7 581.8 617.5 652.5 666.3 702.0 715.0 750.7 785.7 799.9 834.9 848.7 884.4 919.3 933.1 968.1 981.9  1016.9 1052.6 1066.4
 1101.3 1115.5 1150.5 1186.2 1200.0
 884.4 : 13.8 48.8 84.5 97.5  133.2 147.4 182.4 217.7 231.2 266.9 280.7 315.6 351.3 364.4 400.1 413.6 448.9 483.9 498.0 533.7
 546.8 582.5 617.5 631.3 667.0 680.1 715.7 750.7 764.9 799.9 813.7 849.4 884.4 898.2 933.1 946.9 981.9  1017.6 1031.4 1066.4
 1080.6 1115.5 1151.2 1165.0 1200.0
 898.2 : 35.0 70.7 83.7 119.4 133.6 168.6 203.9 217.4 253.1 266.9 301.8 337.5 350.6 386.3 399.8 435.1 470.1 484.3 519.9 533.0
 568.7 603.7 617.5 653.2 666.3 702.0 736.9 751.1 786.1 799.9 835.6 870.6 884.4 919.3 933.1 968.1 1003.8 1017.6 1052.6 1066.8
 1101.7 1137.4 1151.2 1186.2 1200.0
 933.1 : 35.7 48.8 84.5 98.7  133.6 168.9 182.4 218.1 231.9 266.9 302.6 315.6 351.3 364.8 400.1 435.1 449.3 485.0 498.0 533.7
 568.7 582.5 618.2 631.3 667.0 702.0 716.1 751.1 764.9 800.6 835.6 849.4 884.4 898.2 933.1 968.8 982.6  1017.6 1031.8 1066.8
 1102.5 1116.3 1151.2 1165.0 1200.0
 968.8 : 13.1 48.8 63.0 97.9  133.2 146.7 182.4 196.2 231.2 266.9 279.9 315.6 329.1 364.4 399.4 413.6 449.3 462.3 498.0 533.0
 546.8 582.5 595.6 631.3 666.3 680.4 715.4 729.2 764.9 799.9 813.7 848.7 862.5 897.4 933.1 946.9 981.9  996.1  1031.1 1066.8
 1080.6 1115.5 1129.3 1164.3 1200.0
 981.9 : 35.7 49.9 84.9 120.2 133.6 169.3 183.1 218.1 253.8 266.9 302.6 316.0 351.3 386.3 400.5 436.2 449.3 485.0 519.9 533.7
 569.4 582.5 618.2 653.2 667.4 702.4 716.1 751.8 786.8 800.6 835.6 849.4 884.4 920.1 933.9 968.8 983.0  1018.0 1053.7 1067.5
 1102.5 1116.3 1151.2 1186.9 1200.0
 1017.6: 14.2 49.2 84.5 97.9  133.6 147.4 182.4 218.1 231.2 266.9 280.3 315.6 350.6 364.8 400.5 413.6 449.3 484.3 498.0 533.7
 546.8 582.5 617.5 631.7 666.7 680.4 716.1 751.1 764.9 799.9 813.7 848.7 884.4 898.2 933.1 947.3 982.3  1018.0 1031.8 1066.8
 1080.6 1115.5 1151.2 1164.3 1200.0
 1031.8: 35.0 70.3 83.7 119.4 133.2 168.2 203.9 217.0 252.7 266.1 301.5 336.4 350.6 386.3 399.4 435.1 470.1 483.9 519.6 532.6
 568.3 603.3 617.5 652.5 666.3 702.0 736.9 750.7 785.7 799.5 834.5 870.2 884.0 918.9 933.1 968.1 1003.8 1017.6 1052.6 1066.4
 1101.3 1137.0 1150.1 1185.8 1200.0
 1066.8: 35.3 48.8 84.5 98.3  133.2 168.9 182.0 217.7 231.2 266.5 301.5 315.6 351.3 364.4 400.1 435.1 448.9 484.6 497.6 533.3
 568.3 582.5 617.5 631.3 667.0 702.0 715.7 750.7 764.5 799.5 835.2 849.0 884.0 898.2 933.1 968.8 982.6  1017.6 1031.4 1066.4
 1102.1 1115.1 1150.8 1165.0 1200.0
 1102.1: 13.5 49.2 63.0 97.9  133.6 146.7 182.4 195.9 231.2 266.1 280.3 316.0 329.1 364.8 399.8 413.6 449.3 462.3 498.0 533.0
 547.2 582.2 596.0 631.7 666.7 680.4 715.4 729.2 764.2 799.9 813.7 848.7 862.9 897.8 933.5 947.3 982.3  996.1  1031.1 1066.8
 1079.8 1115.5 1129.7 1164.7 1200.0
 1115.5: 35.7 49.5 84.5 120.2 133.2 168.9 182.4 217.7 252.7 266.9 302.6 315.6 351.3 386.3 400.1 435.8 448.9 484.6 519.6 533.7
 568.7 582.5 618.2 653.2 667.0 702.0 715.7 750.7 786.4 800.2 835.2 849.4 884.4 920.1 933.9 968.8 982.6  1017.6 1053.3 1066.4
 1102.1 1116.3 1151.2 1186.5 1200.0
 1151.2: 13.8 48.8 84.5 97.5  133.2 146.7 182.0 217.0 231.2 266.9 279.9 315.6 350.6 364.4 400.1 413.2 448.9 483.9 498.0 533.0
 546.8 582.5 617.5 631.3 666.3 680.1 715.0 750.7 764.5 799.5 813.7 848.7 884.4 898.2 933.1 946.9 981.9  1017.6 1030.7 1066.4
 1080.6 1115.5 1150.8 1164.3 1200.0
 1165.0: 35.0 70.7 83.7 119.4 132.9 168.2 203.2 217.4 253.1 266.1 301.8 336.8 350.6 386.3 399.4 435.1 470.1 484.3 519.2 533.0
 568.7 603.7 617.5 652.5 666.3 701.2 736.9 750.7 785.7 799.9 834.9 870.6 884.4 919.3 933.1 968.1 1003.8 1016.9 1052.6 1066.8
 1101.7 1137.0 1150.5 1186.2 1200.0
 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class:
  1:  13.0736   .. 35.6968 cents       84035/82944, 22.6232 cents         1728/1715, 13.0736 cents
  2:  48.7704   .. 70.6724 cents       875/864, 21.9020 cents             1728/1715, 13.0736 cents
  3:  62.2397   .. 84.8629 cents       84035/82944, 22.6232 cents         1024/1029,-8.4327 cents
  4:  97.5408   .. 120.1640 cents      84035/82944, 22.6232 cents         7558272/7503125, 12.6778 cents
  5:  132.5164  .. 133.6333 cents      420175/419904, 1.1170 cents        829440/823543, 12.3524 cents
  6:  146.3111  .. 169.3301 cents      367653125/362797056, 23.0190 cents 7558272/7503125, 12.6778 cents
  7:  182.0080  .. 204.3058 cents      3828125/3779136, 22.2978 cents     7558272/7503125, 12.6778 cents
  8:  195.4773  .. 218.1005 cents      84035/82944, 22.6232 cents         1492992/1500625,-8.8285 cents
  9:  231.1741  .. 253.7973 cents      84035/82944, 22.6232 cents         1728/1715, 13.0736 cents
 10:  266.1497  .. 266.8709 cents      2401/2400, 0.7212 cents            829440/823543, 12.3524 cents
 11:  279.9445  .. 302.5677 cents      84035/82944, 22.6232 cents         1728/1715, 13.0736 cents
 12:  314.9201  .. 337.5433 cents      84035/82944, 22.6232 cents         829440/823543, 12.3524 cents
 13:  328.7149  .. 351.3381 cents      84035/82944, 22.6232 cents         1492992/1500625,-8.8285 cents
 14:  364.4117  .. 386.3137 cents      875/864, 21.9020 cents             1728/1715, 13.0736 cents
 15:  399.3873  .. 400.5042 cents      420175/419904, 1.1170 cents        1728/1715, 13.0736 cents
 16:  413.1820  .. 436.2010 cents      367653125/362797056, 23.0190 cents 7558272/7503125, 12.6778 cents
 17:  448.1577  .. 471.1767 cents      367653125/362797056, 23.0190 cents 725594112/720600125, 11.9566 cents
 18:  462.3482  .. 484.9714 cents      84035/82944, 22.6232 cents         1492992/1500625,-8.8285 cents
 19:  497.6492  .. 519.9470 cents      3828125/3779136, 22.2978 cents     7558272/7503125, 12.6778 cents
 20:  532.6249  .. 533.7418 cents      420175/419904, 1.1170 cents        7558272/7503125, 12.6778 cents
 21:  546.8154  .. 569.4386 cents      84035/82944, 22.6232 cents         1728/1715, 13.0736 cents
 22:  581.7910  .. 604.4142 cents      84035/82944, 22.6232 cents         829440/823543, 12.3524 cents
 23:  595.5858  .. 618.2090 cents      84035/82944, 22.6232 cents         1492992/1500625,-8.8285 cents
 24:  630.5614  .. 653.1846 cents      84035/82944, 22.6232 cents         829440/823543, 12.3524 cents
 25:  666.2582  .. 667.3751 cents      420175/419904, 1.1170 cents        1728/1715, 13.0736 cents
 26:  680.0530  .. 702.3508 cents      3828125/3779136, 22.2978 cents     7558272/7503125, 12.6778 cents
 27:  715.0286  .. 737.6518 cents      84035/82944, 22.6232 cents         7558272/7503125, 12.6778 cents
 28:  728.8233  .. 751.8423 cents      367653125/362797056, 23.0190 cents 1492992/1500625,-8.8285 cents
 29:  763.7990  .. 786.8180 cents      367653125/362797056, 23.0190 cents 725594112/720600125, 11.9566 cents
 30:  799.4958  .. 800.6127 cents      420175/419904, 1.1170 cents        7558272/7503125, 12.6778 cents
 31:  813.6863  .. 835.5883 cents      875/864, 21.9020 cents             1728/1715, 13.0736 cents
 32:  848.6619  .. 871.2851 cents      84035/82944, 22.6232 cents         1728/1715, 13.0736 cents
 33:  862.4567  .. 885.0799 cents      84035/82944, 22.6232 cents         1492992/1500625,-8.8285 cents
 34:  897.4323  .. 920.0555 cents      84035/82944, 22.6232 cents         829440/823543, 12.3524 cents
 35:  933.1291  .. 933.8503 cents      2401/2400, 0.7212 cents            1728/1715, 13.0736 cents
 36:  946.2027  .. 968.8259 cents      84035/82944, 22.6232 cents         829440/823543, 12.3524 cents
 37:  981.8995  .. 1004.5227 cents     84035/82944, 22.6232 cents         1728/1715, 13.0736 cents
 38:  995.6942  .. 1017.9920 cents     3828125/3779136, 22.2978 cents     1492992/1500625,-8.8285 cents
 39:  1030.6699 .. 1053.6889 cents     367653125/362797056, 23.0190 cents 7558272/7503125, 12.6778 cents
 40:  1066.3667 .. 1067.4836 cents     420175/419904, 1.1170 cents        7558272/7503125, 12.6778 cents
 41:  1079.8360 .. 1102.4592 cents     84035/82944, 22.6232 cents         829440/823543, 12.3524 cents
 42:  1115.1371 .. 1137.7603 cents     84035/82944, 22.6232 cents         7558272/7503125, 12.6778 cents
 43:  1129.3276 .. 1151.2296 cents     875/864, 21.9020 cents             1024/1029,-8.4327 cents
 44:  1164.3032 .. 1186.9264 cents     84035/82944, 22.6232 cents         1728/1715, 13.0736 cents
SHOW DATA
Number of notes                     : 45
-- Interval properties --
Smallest interval                   : 1728/1715, 13.0736 cents, class 1
Average step (divided formal octave): 26.6667 cents
Largest one step interval           : 49/48, 35.6968 cents
Average / Smallest step             : 2.039739
Largest / Average step              : 1.338630
Largest / Smallest step             : 2.730456
Median interval of one step         : 50/49, 34.9756 cents, amount: 13
Most common interval of one step    : 50/49, 34.9756 cents, amount: 13
Least squares average step          : 26.66196 cents, oct.:  1199.78800 cents
Scale is not proper
Step pattern alph. order: ABACDEFABAEGABAEFEGAEGEGEAGEFEAGEGEABAFEDCAGE
Step pattern size order : GAGBFEDGAGECGAGEDECGECECEGCEDEGCECEGAGDEFBGCE
Scale is a Constant Structure, by a margin of 6.59457 cents
Scale diversity                     : 1.167391
Lumma stability                     : 0.381580
Lumma impropriety factor            : 0.065554
Number of different interval sizes  : 276 = 6.27273 / class
Number of one step interval sizes   : 7
Highest interval variety            : 8
Mean interval variety               : 6.27273 = 69/11
Median interval variety             : 3.5
Lowest interval variety             : 3
Smallest interval difference        : 250047/250000, 0.3254 cents
Most common intervals               : 7/6, 266.8709 cents & inv., amount: 30
Most common triad is 0.0 266.871 933.129 cents, amount: 19
Number of recognisable fifths       : 63, average 709.8157 cents
Number of appreciable fifths        : 27, average 701.9869 cents
Scale contains a complete diamond   : 9 21 25 27 35 63
Length of longest harmonic part     : 2 at degree 9
Length of longest subharmonic part  : 2 at degree 24
Formal octave complements present   : 41 = 91.1111%
Limited transpositions with margin 22.6232 cents:
 5 10 15 20 25 30 35 40
Limited inverse transpositions with margin 22.6232 cents:
 5 10 15 20 25 30 35 40
-- Rational properties --
Prime limit                         : 7
Odd number limit                    : 60025 (O: 60025 U: 60025)
Highest odd numerator or denominator: 245
Scale harmonicity                   : 0.009658
Average absolute harmonicity        : 0.077490
Specific harmonicity                : 0.063963
Fundamental                         : 1/2646000, -21.3354 octaves, 0.0001 Hz.
Guide tone                          : 2646000,  21.3354 octaves, 692261245.786 Hz.
Exponens Consonantiae               : 7.001316E+12, 42.67076 octaves
Euler's gradus suavitatis           : 69
Sum of Mann's harmonic distance     : 2579.5, average 57.32222
Mersenne's string divisions         : too high to compute
Sum of van Prooijen's expressibility: 64.00544, average 1.42234
Sum of Tenney's harmonic distance   : 127.51728, average 2.83372
Vogel's harmonic complexity         : 42.95556
Wille's k value                     : 1350562
Wilson's harmonic complexity        : 76
Rectangular lattice diameter        : 16
Triangular lattice diameter         : 8
Lattice compactness                 : 4423.23378, average 4.27366
Lattice compactness (without 2's)   : 3589.97441, average 3.46857
Number of different primes          : 4
Prime exponents' range, average, count, tones@limit:
  2:  -4 .. 4         0.28889   65    1
  3:  -3 .. 3        -0.04444   78    2
  5:  -3 .. 3        -0.08889   48    8
  7:  -2 .. 2         0.17778   44    34
Average exponent except 2's         : 2 / 45 = 0.04444
Average absolute exponent except 2's: 170 / 45 = 3.77778
Scale is JI-epimorphic with val: <45 71 104 126| = patent
FIT/MODE
 45:  1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1  SP B ME I SD: 6.1156 c. M: 9.0301 c. 
 57:  2 0 2 1 1 2 1 1 1 2 1 1 2 0 2 2 0 2 1 1 2 1 1 1 2 1 1 2 0 2 2 0 2 1 1 2 1 1 1 2 1 1 2 0 2   N B D3 I SD: 5.7486 c. M: 7.5742 c. 
 61:  2 0 2 1 2 2 0 2 1 2 1 1 2 1 1 2 1 2 0 2 2 1 1 1 2 2 0 2 1 2 1 1 2 1 1 2 1 2 0 2 2 1 2 0 2   N      I SD: 5.7091 c. M:-9.4261 c. 
 62:  2 1 1 1 2 2 0 2 1 2 2 0 2 1 2 1 1 2 1 2 1 1 2 1 1 2 1 2 1 1 2 1 2 0 2 2 1 2 0 2 2 1 1 1 2   N   D3 I SD: 5.6290 c. M:-9.2941 c. 
 63:  2 1 1 1 2 2 1 1 1 2 2 1 1 1 2 2 1 1 1 2 2 1 1 1 2 2 1 1 1 2 2 1 1 1 2 2 1 1 1 2 2 1 1 1 2   N B D3 I SD: 5.4645 c. M: 8.5767 c. 
 64:  2 1 2 0 2 2 1 2 0 2 2 1 2 0 2 2 1 2 1 1 2 1 2 1 2 1 1 2 1 2 2 0 2 1 2 2 0 2 1 2 2 0 2 1 2   N      I SD: 5.4050 c. M:-9.2828 c. 
 65:  2 1 2 0 2 2 1 2 1 1 2 1 2 1 2 2 0 2 1 2 2 1 1 1 2 2 1 2 0 2 2 1 2 1 2 1 1 2 1 2 2 0 2 1 2   N   D3 I SD: 5.3099 c. M:-8.8259 c. 
 66:  2 1 2 0 2 2 1 2 1 2 2 0 2 1 2 2 1 2 0 2 2 1 2 1 2 2 0 2 1 2 2 1 2 0 2 2 1 2 1 2 2 0 2 1 2   N B D3 I SD: 5.0022 c. M:-7.2444 c. 
 70:  2 1 2 1 2 2 1 2 0 3 2 0 2 1 2 2 1 2 1 2 2 1 2 1 2 2 1 2 1 2 2 1 2 0 2 3 0 2 1 2 2 1 2 1 2   N      I SD: 4.9332 c. M: 8.4810 c. 
 72:  2 1 2 1 2 2 1 2 1 2 2 1 2 1 2 2 1 2 1 2 2 1 2 1 2 2 1 2 1 2 2 1 2 1 2 2 1 2 1 2 2 1 2 1 2   P B ME I SD: 1.4168 c. M: 2.3635 c. 
 99:  3 1 3 1 3 3 1 3 1 3 3 1 3 1 3 3 1 3 1 3 3 1 3 1 3 3 1 3 1 3 3 1 3 1 3 3 1 3 1 3 3 1 3 1 3   N B DE I SD: 0.7821 c. M:-1.4838 c. 
 171: 5 2 5 2 5 5 2 5 2 5 5 2 5 2 5 5 2 5 2 5 5 2 5 2 5 5 2 5 2 5 5 2 5 2 5 5 2 5 2 5 5 2 5 2 5   N B DE I SD: 0.2831 c. M: 0.6091 c. 
 441: 13 5 13 5 13 13 5 13 5 13 13 5 13 5 13 13 5 13 5 13 13 5 13 5 13 13 5 13 5 13 13 5 13 5 13 13 5 13 5 13 13 5 13 5 13   N B DE I SD: 0.2404 c. M:-0.4943 c. 
 612: 18 7 18 7 18 18 7 18 7 18 18 7 18 7 18 18 7 18 7 18 18 7 18 7 18 18 7 18 7 18 18 7 18 7 18 18 7 18 7 18 18 7 18 7 18   N B DE I SD: 0.2362 c. M: 0.4535 c. 
 935: 28 10 28 10 28 27 11 28 10 28 27 11 28 10 28 27 11 27 11 28 27 11 27 11 27 28 11 27 11 27 28 11 27 11 27 28 10 28 11 27 28 10 28 11 27   N        SD: 0.2029 c. M: 0.4000 c. 
 1034: 31 11 31 11 31 30 12 31 11 31 30 12 31 11 31 30 12 30 12 31 30 12 30 12 30 31 12 30 12 30 31 12 30 12 30 31 11 31 12 30 31 11 31 12 30   N        SD: 0.1883 c. M:-0.4510 c. 
 1106: 33 12 33 12 33 32 13 33 12 33 32 13 33 12 33 32 13 32 13 33 32 13 32 13 32 33 13 32 13 32 33 13 32 13 32 33 12 33 13 32 33 12 33 13 32   N        SD: 0.1603 c. M: 0.3443 c. 
 1205: 36 13 36 13 36 35 14 36 13 36 35 14 36 13 36 35 14 35 14 36 35 14 35 14 35 36 14 35 14 35 36 14 35 14 35 36 13 36 14 35 36 13 36 14 35   N        SD: 0.1468 c. M:-0.3432 c. 
 1277: 38 14 38 14 38 37 15 38 14 38 37 15 38 14 38 37 15 37 15 38 37 15 37 15 37 38 15 37 15 37 38 15 37 15 37 38 14 38 15 37 38 14 38 15 37   N        SD: 0.1392 c. M: 0.3035 c. 
 1376: 41 15 41 15 41 40 16 41 15 41 40 16 41 15 41 40 16 40 16 41 40 16 40 16 40 41 16 40 16 40 41 16 40 16 40 41 15 41 16 40 41 15 41 16 40   N        SD: 0.1246 c. M:-0.2621 c. 
 1407: 42 15 42 16 41 41 17 42 15 42 41 16 42 15 42 41 17 41 16 42 41 16 41 16 41 42 16 41 17 41 42 16 41 16 41 42 15 42 17 41 41 16 42 16 41   N        SD: 0.1368 c. M: 0.2364 c. 
 1448: 43 16 43 16 43 42 17 43 16 43 42 17 43 16 43 42 17 42 17 43 42 17 42 17 42 43 17 42 17 42 43 17 42 17 42 43 16 43 17 42 43 16 43 17 42   N        SD: 0.1318 c. M: 0.2723 c. 
 1547: 46 17 46 17 46 45 18 46 17 46 45 18 46 17 46 45 18 45 18 46 45 18 45 18 45 46 18 45 18 45 46 18 45 18 45 46 17 46 18 45 46 17 46 18 45   N        SD: 0.1159 c. M: 0.2166 c. 
 1578: 47 17 47 18 46 46 19 47 17 47 46 18 47 17 47 46 19 46 18 47 46 18 46 18 46 47 18 46 19 46 47 18 46 18 46 47 17 47 19 46 46 18 47 18 46   N        SD: 0.1056 c. M:-0.1623 c. 
 1677: 50 18 50 19 49 49 20 50 18 50 49 19 50 18 50 49 20 49 19 50 49 19 49 19 49 50 19 49 20 49 50 19 49 19 49 50 18 50 20 49 49 19 50 19 49   N        SD: 0.1004 c. M: 0.1898 c. 
 1749: 52 19 52 20 51 51 21 52 19 52 51 20 52 19 52 51 21 51 20 52 51 20 51 20 51 52 20 51 21 51 52 20 51 20 51 52 19 52 21 51 51 20 52 20 51   N        SD: 0.0870 c. M:-0.1767 c. 
 1848: 55 20 55 21 54 54 22 55 20 55 54 21 55 20 55 54 22 54 21 55 54 21 54 21 54 55 21 54 22 54 55 21 54 21 54 55 20 55 22 54 54 21 55 21 54   N        SD: 0.0797 c. M:-0.1654 c. 
 1920: 57 21 57 22 56 56 23 57 21 57 56 22 57 21 57 56 23 56 22 57 56 22 56 22 56 57 22 56 23 56 57 22 56 22 56 57 21 57 23 56 56 22 57 22 56   N        SD: 0.0794 c. M:-0.1885 c. 
 2019: 60 22 60 23 59 59 24 60 22 60 59 23 60 22 60 59 24 59 23 60 59 23 59 23 59 60 23 59 24 59 60 23 59 23 59 60 22 60 24 59 59 23 60 23 59   N        SD: 0.0695 c. M: 0.1480 c. 
 2190: 65 24 65 25 64 64 26 65 24 65 64 25 65 24 65 64 26 64 25 65 64 25 64 25 64 65 25 64 26 64 65 25 64 25 64 65 24 65 26 64 64 25 65 25 64   N        SD: 0.0683 c. M:-0.1457 c. 
 2513: 75 27 75 28 74 73 30 75 27 75 73 29 75 27 75 73 30 73 29 75 73 29 73 29 73 75 29 73 30 73 75 29 73 29 73 75 27 75 30 73 74 28 75 29 73   N        SD: 0.0715 c. M:-0.1272 c. 
 2612: 78 28 78 29 77 76 31 78 28 78 76 30 78 28 78 76 31 76 30 78 76 30 76 30 76 78 30 76 31 76 78 30 76 30 76 78 28 78 31 76 77 29 78 30 76   N        SD: 0.0650 c. M:-0.1378 c. 
 2684: 80 29 80 30 79 78 32 80 29 80 78 31 80 29 80 78 32 78 31 80 78 31 78 31 78 80 31 78 32 78 80 31 78 31 78 80 29 80 32 78 79 30 80 31 78   N        SD: 0.0537 c. M:-0.1059 c. 
 2783: 83 30 83 31 82 81 33 83 30 83 81 32 83 30 83 81 33 81 32 83 81 32 81 32 81 83 32 81 33 81 83 32 81 32 81 83 30 83 33 81 82 31 83 32 81   N        SD: 0.0443 c. M:-0.0919 c. 
 2855: 85 31 85 32 84 83 34 85 31 85 83 33 85 31 85 83 34 83 33 85 83 33 83 33 83 85 33 83 34 83 85 33 83 33 83 85 31 85 34 83 84 32 85 33 83   N        SD: 0.0414 c. M:-0.0895 c. 
 2954: 88 32 88 33 87 86 35 88 32 88 86 34 88 32 88 86 35 86 34 88 86 34 86 34 86 88 34 86 35 86 88 34 86 34 86 88 32 88 35 86 87 33 88 34 86   N        SD: 0.0270 c. M:-0.0513 c. 
 3125: 93 34 93 35 92 91 37 93 34 93 91 36 93 34 93 91 37 91 36 93 91 36 91 36 91 93 36 91 37 91 93 36 91 36 91 93 34 93 37 91 92 35 93 36 91   N        SD: 0.0149 c. M:-0.0316 c. 
 3296: 98 36 98 37 97 96 39 98 36 98 96 38 98 36 98 96 39 96 38 98 96 38 96 38 96 98 38 96 39 96 98 38 96 38 96 98 36 98 39 96 97 37 98 38 96   N        SD: 0.0157 c. M: 0.0301 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: 3.4487 cents
 5 .. 10  match: 5  H SD: 2.7590 cents
 6 .. 12  match: 6  H SD: 2.8999 cents
 7 .. 14  match: 7  H SD: 2.5839 cents
 8 .. 16  match: 8  H SD: 3.7689 cents
 9 .. 18  match: 9  H SD: 1.7438 cents
 10 .. 20  match: 10  H SD: 2.1299 cents
 11 .. 22  match: 11  H SD: 3.2695 cents
 12 .. 24  match: 12  H SD: 2.4531 cents
 13 .. 26  match: 13  H SD: 2.6835 cents
 14 .. 28  match: 14  H SD: 2.5428 cents
 15 .. 30  match: 15  H SD: 2.2651 cents
 16 .. 32  match: 16  H SD: 2.2792 cents
 17 .. 34  match: 17  H SD: 2.1098 cents
 18 .. 36  match: 18  H SD: 1.6151 cents
 19 .. 38  match: 19  H SD: 2.0354 cents
 20 .. 40  match: 20  H SD: 1.9195 cents
 21 .. 42  match: 21  H SD: 1.4322 cents
 22 .. 44  match: 22  H SD: 1.9180 cents
 23 .. 46  match: 23  H SD: 2.3007 cents
 24 .. 48  match: 24  H SD: 1.9690 cents
 25 .. 50  match: 25  H SD: 1.6230 cents
 26 .. 52  match: 26  H SD: 1.9897 cents
 27 .. 54  match: 26    SD: 1.4369 cents
 28 .. 56  match: 28  H SD: 1.7257 cents
 29 .. 58  match: 29  H SD: 1.9055 cents
 30 .. 60  match: 28    SD: 1.3784 cents
 31 .. 62  match: 30    SD: 1.4635 cents
 32 .. 64  match: 31  S SD: 1.6434 cents
 33 .. 66  match: 31    SD: 1.7958 cents
 34 .. 68  match: 33  S SD: 1.3140 cents
 35 .. 70  match: 33    SD: 1.2553 cents
 36 .. 72  match: 32    SD: 1.1661 cents
 37 .. 74  match: 31    SD: 1.4140 cents
 38 .. 76  match: 32    SD: 1.2396 cents
 39 .. 78  match: 35    SD: 1.2589 cents
 40 .. 80  match: 32    SD: 1.4253 cents
 41 .. 82  match: 34    SD: 1.2568 cents
 42 .. 84  match: 34    SD: 1.1972 cents
 43 .. 86  match: 35    SD: 1.2704 cents
 44 .. 88  match: 37    SD: 1.2790 cents
 45 .. 90  match: 35    SD: 1.2313 cents
 46 .. 92  match: 35    SD: 1.2248 cents
 47 .. 94  match: 38    SD: 1.0314 cents
 48 .. 96  match: 37    SD: 1.1636 cents
 49 .. 98  match: 35    SD: 1.0141 cents
 50 .. 100  match: 39    SD: 0.9632 cents
 51 .. 102  match: 35    SD: 1.0609 cents
 52 .. 104  match: 36    SD: 0.9291 cents
 53 .. 106  match: 38    SD: 0.9523 cents
 54 .. 108  match: 41    SD: 0.9283 cents
 55 .. 110  match: 38    SD: 0.9602 cents
 56 .. 112  match: 38    SD: 0.9480 cents
 57 .. 114  match: 38    SD: 1.0058 cents
 58 .. 116  match: 36    SD: 0.9692 cents
 59 .. 118  match: 39    SD: 0.8384 cents
 60 .. 120  match: 41    SD: 0.7830 cents
 61 .. 122  match: 39    SD: 0.8482 cents
 62 .. 124  match: 40    SD: 0.8883 cents
 63 .. 126  match: 42    SD: 0.8221 cents
 64 .. 128  match: 42    SD: 0.8079 cents
 65 .. 130  match: 40    SD: 0.8038 cents
 66 .. 132  match: 39    SD: 0.6944 cents
 67 .. 134  match: 39    SD: 0.8533 cents
 68 .. 136  match: 45    SD: 0.7841 cents
 69 .. 138  match: 41    SD: 0.8354 cents
 70 .. 140  match: 41    SD: 0.7004 cents
 71 .. 142  match: 39    SD: 0.7721 cents
 72 .. 144  match: 40    SD: 0.5783 cents
 73 .. 146  match: 40    SD: 0.7249 cents
 74 .. 148  match: 40    SD: 0.6497 cents
 75 .. 150  match: 41    SD: 0.6760 cents
 76 .. 152  match: 39    SD: 0.6920 cents
 77 .. 154  match: 41    SD: 0.6011 cents
 78 .. 156  match: 43    SD: 0.7091 cents
 79 .. 158  match: 41    SD: 0.7405 cents
 80 .. 160  match: 43    SD: 0.5945 cents
 81 .. 162  match: 42    SD: 0.6402 cents
 82 .. 164  match: 43    SD: 0.7095 cents
 83 .. 166  match: 42    SD: 0.7033 cents
 84 .. 168  match: 43    SD: 0.5110 cents
 85 .. 170  match: 43    SD: 0.5737 cents
 86 .. 172  match: 42    SD: 0.6827 cents
 87 .. 174  match: 41    SD: 0.6218 cents
 88 .. 176  match: 45    SD: 0.5825 cents
 90 .. 180  match: 44    SD: 0.4935 cents
 91 .. 182  match: 44    SD: 0.6138 cents
 92 .. 184  match: 43    SD: 0.5955 cents
 93 .. 186  match: 44    SD: 0.6561 cents
 94 .. 188  match: 42    SD: 0.5823 cents
 96 .. 192  match: 44    SD: 0.5275 cents
 97 .. 194  match: 45    SD: 0.5264 cents
 98 .. 196  match: 45    SD: 0.4750 cents
 100 .. 200  match: 44    SD: 0.4601 cents
 101 .. 202  match: 44    SD: 0.5021 cents
 102 .. 204  match: 45    SD: 0.4722 cents
 103 .. 206  match: 44    SD: 0.5024 cents
 105 .. 210  match: 45    SD: 0.4538 cents
 108 .. 216  match: 44    SD: 0.4621 cents
 110 .. 220  match: 44    SD: 0.4984 cents
 111 .. 222  match: 44    SD: 0.4615 cents
 115 .. 230  match: 45    SD: 0.4465 cents
 119 .. 238  match: 45    SD: 0.4169 cents
 120 .. 240  match: 44    SD: 0.4125 cents
 121 .. 242  match: 44    SD: 0.4523 cents
 122 .. 244  match: 44    SD: 0.4981 cents
 123 .. 246  match: 45    SD: 0.4892 cents
 124 .. 248  match: 45    SD: 0.4387 cents
 125 .. 250  match: 45    SD: 0.4162 cents
 126 .. 252  match: 45    SD: 0.3920 cents
 134 .. 268  match: 45    SD: 0.3840 cents
 135 .. 270  match: 45    SD: 0.3777 cents
 136 .. 272  match: 45    SD: 0.3361 cents
 155 .. 310  match: 45    SD: 0.3146 cents
 168 .. 336  match: 45    SD: 0.3057 cents
 174 .. 348  match: 45    SD: 0.2834 cents
 180 .. 360  match: 45    SD: 0.2693 cents
 188 .. 376  match: 45    SD: 0.2657 cents
 196 .. 392  match: 45    SD: 0.2378 cents
 200 .. 400  match: 45    SD: 0.2272 cents
 216 .. 432  match: 45    SD: 0.2131 cents
 236 .. 472  match: 45    SD: 0.2042 cents
 240 .. 480  match: 45    SD: 0.1999 cents
 245 .. 490  match: 45    SD: 0.1865 cents
 252 .. 504  match: 45    SD: 0.1745 cents
 276 .. 552  match: 45    SD: 0.1676 cents
 300 .. 600  match: 45    SD: 0.1629 cents
 315 .. 630  match: 45    SD: 0.1578 cents
 322 .. 644  match: 45    SD: 0.1526 cents
 324 .. 648  match: 45    SD: 0.1312 cents
 378 .. 756  match: 45    SD: 0.1211 cents
 385 .. 770  match: 45    SD: 0.1143 cents
 426 .. 852  match: 45    SD: 0.1126 cents
 432 .. 864  match: 45    SD: 0.1099 cents
 448 .. 896  match: 45    SD: 0.1070 cents
 461 .. 922  match: 45    SD: 0.1060 cents
 462 .. 924  match: 45    SD: 0.0961 cents
 516 .. 1032  match: 45    SD: 0.0914 cents
 520 .. 1040  match: 45    SD: 0.0841 cents
 560 .. 1120  match: 45    SD: 0.0787 cents
 588 .. 1176  match: 45    SD: 0.0721 cents