Scala analysis: harisev

Seven-limit scale of Michael Harrison

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

SHOW
  0:          1/1               0.000000 unison, perfect prime
  1:         28/27             62.960904 Archytas' 1/3-tone
  2:        135/128            92.178716 major chroma, major limma
  3:         16/15            111.731285 minor diatonic semitone
  4:        243/224           140.949098 Archytas' 2/3-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:         32/27            294.134997 Pythagorean minor third
  9:          6/5             315.641287 minor third
 10:        135/112           323.352810 septimal wide minor third
 11:          5/4             386.313714 major third
 12:         81/64            407.820003 Pythagorean major third
 13:          9/7             435.084095 septimal major third, BP third
 14:         21/16            470.780907 narrow fourth
 15:          4/3             498.044999 perfect fourth
 16:        112/81            561.005903
 17:         45/32            590.223716 diatonic tritone
 18:         64/45            609.776284 2nd tritone
 19:         81/56            638.994097
 20:          3/2             701.955001 perfect fifth
 21:         32/21            729.219093 wide fifth
 22:         14/9             764.915905 septimal minor sixth
 23:        128/81            792.179997 Pythagorean minor sixth
 24:          8/5             813.686286 minor sixth
 25:        224/135           876.647190 narrow septimal major sixth
 26:          5/3             884.358713 major sixth, BP sixth
 27:         27/16            905.865003 Pythagorean major sixth
 28:         12/7             933.129094 septimal major sixth
 29:          7/4             968.825906 harmonic seventh
 30:         16/9             996.089998 Pythagorean minor seventh
 31:         15/8            1088.268715 classic major seventh
 32:        243/128          1109.775004 Pythagorean major seventh
 33:         27/14           1137.039096 septimal major seventh
 34:          2/1            1200.000000 octave
SHOW/INTERVAL
  0:         28/27             62.9609 Archytas' 1/3-tone
  1:         28/27             62.9609 Archytas' 1/3-tone
  2:       3645/3584           29.2178 
  3:       2048/2025           19.5526 diaschisma
  4:       3645/3584           29.2178 
  5:         28/27             62.9609 Archytas' 1/3-tone
  6:         64/63             27.2641 septimal comma, Archytas' comma
  7:         49/48             35.6968 slendro diesis, septimal 1/6-tone
  8:         64/63             27.2641 septimal comma, Archytas' comma
  9:         81/80             21.5063 syntonic comma, Didymus comma
 10:        225/224             7.7115 septimal kleisma
 11:         28/27             62.9609 Archytas' 1/3-tone
 12:         81/80             21.5063 syntonic comma, Didymus comma
 13:         64/63             27.2641 septimal comma, Archytas' comma
 14:         49/48             35.6968 slendro diesis, septimal 1/6-tone
 15:         64/63             27.2641 septimal comma, Archytas' comma
 16:         28/27             62.9609 Archytas' 1/3-tone
 17:       3645/3584           29.2178 
 18:       2048/2025           19.5526 diaschisma
 19:       3645/3584           29.2178 
 20:         28/27             62.9609 Archytas' 1/3-tone
 21:         64/63             27.2641 septimal comma, Archytas' comma
 22:         49/48             35.6968 slendro diesis, septimal 1/6-tone
 23:         64/63             27.2641 septimal comma, Archytas' comma
 24:         81/80             21.5063 syntonic comma, Didymus comma
 25:         28/27             62.9609 Archytas' 1/3-tone
 26:        225/224             7.7115 septimal kleisma
 27:         81/80             21.5063 syntonic comma, Didymus comma
 28:         64/63             27.2641 septimal comma, Archytas' comma
 29:         49/48             35.6968 slendro diesis, septimal 1/6-tone
 30:         64/63             27.2641 septimal comma, Archytas' comma
 31:        135/128            92.1787 major chroma, major limma
 32:         81/80             21.5063 syntonic comma, Didymus comma
 33:         64/63             27.2641 septimal comma, Archytas' comma
 34:         28/27             62.9609 Archytas' 1/3-tone
SHOW INTERVALS
Interval class, Number of incidences, Size:
  1:   2 225/224             7.712 cents    septimal kleisma
  1:   2 2048/2025           19.553 cents   diaschisma
  1:   5 81/80               21.506 cents   syntonic comma, Didymus comma
  1:   9 64/63               27.264 cents   septimal comma, Archytas' comma
  1:   4 3645/3584           29.218 cents   
  1:   4 49/48               35.697 cents   slendro diesis, septimal 1/6-tone
  1:   7 28/27               62.961 cents   Archytas' 1/3-tone
  1:   1 135/128             92.179 cents   major chroma, major limma
  2:   2 3645/3584           29.218 cents   
  2:   9 36/35               48.770 cents   septimal diesis, 1/4-tone
  2:   8 28/27               62.961 cents   Archytas' 1/3-tone
  2:   2 25/24               70.672 cents   classic chromatic semitone, minor chroma
  2:   2 21/20               84.467 cents   minor semitone
  2:   4 256/243             90.225 cents   limma, Pythagorean minor second
  2:   4 135/128             92.179 cents   major chroma, major limma
  2:   1 2187/2048           113.685 cents  apotome
  2:   1 15/14               119.443 cents  major diatonic semitone
  2:   1 784/729             125.922 cents  two (Archytas' 1/3-tone)
  3:   2 405/392             56.482 cents   greenwoodma
  3:   2 6561/6272           77.988 cents   
  3:   4 21/20               84.467 cents   minor semitone
  3:   4 256/243             90.225 cents   limma, Pythagorean minor second
  3:   4 135/128             92.179 cents   major chroma, major limma
  3:   7 16/15               111.731 cents  minor diatonic semitone
  3:   3 15/14               119.443 cents  major diatonic semitone
  3:   3 784/729             125.922 cents  two (Archytas' 1/3-tone)
  3:   2 243/224             140.949 cents  Archytas' 2/3-tone
  3:   1 7168/6561           153.186 cents  
  3:   2 35/32               155.140 cents  septimal neutral second
  4:   2 135/128             92.179 cents   major chroma, major limma
  4:   4 16/15               111.731 cents  minor diatonic semitone
  4:   2 2187/2048           113.685 cents  apotome
  4:   4 15/14               119.443 cents  major diatonic semitone
  4:   3 1024/945            138.995 cents  
  4:   4 243/224             140.949 cents  Archytas' 2/3-tone
  4:   2 49/45               147.428 cents  BP minor semitone
  4:   3 7168/6561           153.186 cents  
  4:   3 35/32               155.140 cents  septimal neutral second
  4:   1 54/49               168.213 cents  Zalzal's mujannab
  4:   2 448/405             174.692 cents  
  4:   1 567/512             176.646 cents  
  4:   2 10/9                182.404 cents  minor whole tone
  4:   1 9/8                 203.910 cents  major whole tone
  5:   2 15/14               119.443 cents  major diatonic semitone
  5:   4 243/224             140.949 cents  Archytas' 2/3-tone
  5:   4 35/32               155.140 cents  septimal neutral second
  5:   3 54/49               168.213 cents  Zalzal's mujannab
  5:   8 448/405             174.692 cents  
  5:   3 10/9                182.404 cents  minor whole tone
  5:   1 4096/3645           201.956 cents  narrow diminished third
  5:   7 9/8                 203.910 cents  major whole tone
  5:   1 8/7                 231.174 cents  septimal whole tone
  5:   1 7/6                 266.871 cents  septimal minor third
  6:   2 54/49               168.213 cents  Zalzal's mujannab
  6:   4 567/512             176.646 cents  
  6:   5 10/9                182.404 cents  minor whole tone
  6:   3 4096/3645           201.956 cents  narrow diminished third
  6:   6 9/8                 203.910 cents  major whole tone
  6:   1 2025/1792           211.622 cents  
  6:   1 256/225             223.463 cents  Neapolitan diminished third
  6:   1 729/640             225.416 cents  acute major second
  6:   5 8/7                 231.174 cents  septimal whole tone
  6:   2 12544/10935         237.653 cents  
  6:   2 7/6                 266.871 cents  septimal minor third
  6:   1 32/27               294.135 cents  Pythagorean minor third
  6:   1 1215/1024           296.089 cents  wide augmented second
  7:   8 9/8                 203.910 cents  major whole tone
  7:   1 2025/1792           211.622 cents  
  7:   3 256/225             223.463 cents  Neapolitan diminished third
  7:   3 8/7                 231.174 cents  septimal whole tone
  7:   1 32805/28672         233.128 cents  
  7:   3 280/243             245.365 cents  
  7:   2 81/70               252.680 cents  Al-Hwarizmi's lute middle finger
  7:   1 512/441             258.438 cents  
  7:   5 7/6                 266.871 cents  septimal minor third
  7:   1 75/64               274.582 cents  classic augmented second
  7:   3 32/27               294.135 cents  Pythagorean minor third
  7:   1 6/5                 315.641 cents  minor third
  7:   1 135/112             323.353 cents  septimal wide minor third
  7:   1 98/81               329.832 cents  
  8:   5 8/7                 231.174 cents  septimal whole tone
  8:   2 147/128             239.607 cents  
  8:   3 81/70               252.680 cents  Al-Hwarizmi's lute middle finger
  8:   1 3645/3136           260.392 cents  
  8:   3 7/6                 266.871 cents  septimal minor third
  8:   3 75/64               274.582 cents  classic augmented second
  8:   2 7168/6075           286.423 cents  
  8:   5 32/27               294.135 cents  Pythagorean minor third
  8:   2 1215/1024           296.089 cents  wide augmented second
  8:   2 6/5                 315.641 cents  minor third
  8:   1 2048/1701           321.399 cents  
  8:   1 98/81               329.832 cents  
  8:   1 128/105             342.905 cents  septimal neutral third
  8:   1 2187/1792           344.859 cents  
  8:   1 896/729             357.096 cents  
  8:   1 315/256             359.050 cents  
  9:   1 3645/3136           260.392 cents  
  9:   4 7/6                 266.871 cents  septimal minor third
  9:   6 32/27               294.135 cents  Pythagorean minor third
  9:   3 1215/1024           296.089 cents  wide augmented second
  9:   5 6/5                 315.641 cents  minor third
  9:   1 19683/16384         317.595 cents  Pythagorean augmented second
  9:   2 2048/1701           321.399 cents  
  9:   3 135/112             323.353 cents  septimal wide minor third
  9:   1 98/81               329.832 cents  
  9:   1 128/105             342.905 cents  septimal neutral third
  9:   2 896/729             357.096 cents  
  9:   1 243/196             372.123 cents  
  9:   2 56/45               378.602 cents  septimal narrow major third
  9:   1 5/4                 386.314 cents  major third
  9:   1 81/64               407.820 cents  Pythagorean major third
 10:   2 32/27               294.135 cents  Pythagorean minor third
 10:   3 6/5                 315.641 cents  minor third
 10:   7 135/112             323.353 cents  septimal wide minor third
 10:   3 98/81               329.832 cents  
 10:   2 128/105             342.905 cents  septimal neutral third
 10:   2 2187/1792           344.859 cents  
 10:   2 896/729             357.096 cents  
 10:   1 315/256             359.050 cents  
 10:   4 56/45               378.602 cents  septimal narrow major third
 10:   1 8192/6561           384.360 cents  Pythagorean diminished fourth
 10:   2 5/4                 386.314 cents  major third
 10:   1 512/405             405.866 cents  narrow diminished fourth
 10:   2 81/64               407.820 cents  Pythagorean major third
 10:   2 9/7                 435.084 cents  septimal major third, BP third
 11:   3 128/105             342.905 cents  septimal neutral third
 11:   3 2187/1792           344.859 cents  
 11:   3 896/729             357.096 cents  
 11:   3 315/256             359.050 cents  
 11:   1 243/196             372.123 cents  
 11:   2 56/45               378.602 cents  septimal narrow major third
 11:   1 5103/4096           380.556 cents  
 11:   1 8192/6561           384.360 cents  Pythagorean diminished fourth
 11:   5 5/4                 386.314 cents  major third
 11:   4 512/405             405.866 cents  narrow diminished fourth
 11:   1 81/64               407.820 cents  Pythagorean major third
 11:   1 18225/14336         415.532 cents  
 11:   1 32/25               427.373 cents  classic diminished fourth
 11:   1 9/7                 435.084 cents  septimal major third, BP third
 11:   1 35/27               449.275 cents  septimal semi-diminished fourth, 9/4-tone
 11:   1 64/49               462.348 cents  2 septatones or septatonic major third
 11:   2 21/16               470.781 cents  narrow fourth
 12:   3 243/196             372.123 cents  
 12:   3 56/45               378.602 cents  septimal narrow major third
 12:   3 5/4                 386.314 cents  major third
 12:   2 512/405             405.866 cents  narrow diminished fourth
 12:   5 81/64               407.820 cents  Pythagorean major third
 12:   3 80/63               413.578 cents  wide major third
 12:   1 25088/19683         420.057 cents  
 12:   1 32/25               427.373 cents  classic diminished fourth
 12:   2 9/7                 435.084 cents  septimal major third, BP third
 12:   2 1568/1215           441.563 cents  
 12:   2 35/27               449.275 cents  septimal semi-diminished fourth, 9/4-tone
 12:   1 729/560             456.590 cents  
 12:   1 21/16               470.781 cents  narrow fourth
 12:   1 675/512             478.492 cents  wide augmented third
 12:   4 4/3                 498.045 cents  perfect fourth
 13:   3 512/405             405.866 cents  narrow diminished fourth
 13:   3 81/64               407.820 cents  Pythagorean major third
 13:   1 32/25               427.373 cents  classic diminished fourth
 13:   7 9/7                 435.084 cents  septimal major third, BP third
 13:   4 35/27               449.275 cents  septimal semi-diminished fourth, 9/4-tone
 13:   1 32805/25088         464.302 cents  
 13:   2 14336/10935         468.827 cents  
 13:   3 21/16               470.781 cents  narrow fourth
 13:   1 320/243             476.539 cents  grave fourth
 13:   1 675/512             478.492 cents  wide augmented third
 13:   2 4/3                 498.045 cents  perfect fourth
 13:   1 10935/8192          499.999 cents  fourth + schisma, 5-limit approximation to ET fourth
 13:   2 27/20               519.551 cents  acute fourth
 13:   2 256/189             525.309 cents  
 13:   1 49/36               533.742 cents  Arabic lute acute fourth
 14:   3 9/7                 435.084 cents  septimal major third, BP third
 14:   2 64/49               462.348 cents  2 septatones or septatonic major third
 14:   2 14336/10935         468.827 cents  
 14:   5 21/16               470.781 cents  narrow fourth
 14:   2 320/243             476.539 cents  grave fourth
 14:   1 675/512             478.492 cents  wide augmented third
 14:   2 896/675             490.333 cents  
 14:   6 4/3                 498.045 cents  perfect fourth
 14:   1 10935/8192          499.999 cents  fourth + schisma, 5-limit approximation to ET fourth
 14:   1 27/20               519.551 cents  acute fourth
 14:   4 1215/896            527.263 cents  
 14:   1 49/36               533.742 cents  Arabic lute acute fourth
 14:   2 48/35               546.815 cents  septimal semi-augmented fourth
 14:   2 112/81              561.006 cents  
 15:  15 4/3                 498.045 cents  perfect fourth
 15:   2 27/20               519.551 cents  acute fourth
 15:   1 256/189             525.309 cents  
 15:   2 1215/896            527.263 cents  
 15:   1 49/36               533.742 cents  Arabic lute acute fourth
 15:   1 48/35               546.815 cents  septimal semi-augmented fourth
 15:   1 19683/14336         548.769 cents  
 15:   1 25088/18225         553.294 cents  
 15:   2 135/98              554.527 cents  
 15:   2 112/81              561.006 cents  
 15:   1 2835/2048           562.960 cents  
 15:   2 7/5                 582.512 cents  septimal or Huygens' tritone, BP fourth
 15:   1 1024/729            588.270 cents  Pythagorean diminished fifth
 15:   2 45/32               590.224 cents  diatonic tritone
 16:   1 8192/6075           517.598 cents  
 16:   2 27/20               519.551 cents  acute fourth
 16:   4 256/189             525.309 cents  
 16:   2 1215/896            527.263 cents  
 16:   2 49/36               533.742 cents  Arabic lute acute fourth
 16:   2 48/35               546.815 cents  septimal semi-augmented fourth
 16:   1 19683/14336         548.769 cents  
 16:   6 112/81              561.006 cents  
 16:   1 2187/1568           576.033 cents  
 16:   1 7/5                 582.512 cents  septimal or Huygens' tritone, BP fourth
 16:   5 45/32               590.224 cents  diatonic tritone
 16:   2 64/45               609.776 cents  2nd tritone
 16:   2 729/512             611.730 cents  Pythagorean tritone
 16:   2 10/7                617.488 cents  Euler's tritone
 16:   1 3136/2187           623.967 cents  
 17:   4 48/35               546.815 cents  septimal semi-augmented fourth
 17:   4 112/81              561.006 cents  
 17:   1 25/18               568.717 cents  classic augmented fourth
 17:   1 2187/1568           576.033 cents  
 17:   3 7/5                 582.512 cents  septimal or Huygens' tritone, BP fourth
 17:   2 1024/729            588.270 cents  Pythagorean diminished fifth
 17:   2 45/32               590.224 cents  diatonic tritone
 17:   2 64/45               609.776 cents  2nd tritone
 17:   2 729/512             611.730 cents  Pythagorean tritone
 17:   3 10/7                617.488 cents  Euler's tritone
 17:   1 3136/2187           623.967 cents  
 17:   1 36/25               631.283 cents  classic diminished fifth
 17:   4 81/56               638.994 cents  
 17:   4 35/24               653.185 cents  septimal semi-diminished fifth
 18:   1 2187/1568           576.033 cents  
 18:   2 7/5                 582.512 cents  septimal or Huygens' tritone, BP fourth
 18:   2 1024/729            588.270 cents  Pythagorean diminished fifth
 18:   2 45/32               590.224 cents  diatonic tritone
 18:   5 64/45               609.776 cents  2nd tritone
 18:   1 10/7                617.488 cents  Euler's tritone
 18:   1 3136/2187           623.967 cents  
 18:   6 81/56               638.994 cents  
 18:   1 28672/19683         651.231 cents  
 18:   2 35/24               653.185 cents  septimal semi-diminished fifth
 18:   2 72/49               666.258 cents  Arabic lute grave fifth
 18:   2 1792/1215           672.737 cents  
 18:   4 189/128             674.691 cents  
 18:   2 40/27               680.449 cents  grave fifth
 18:   1 6075/4096           682.402 cents  
 19:   2 64/45               609.776 cents  2nd tritone
 19:   1 729/512             611.730 cents  Pythagorean tritone
 19:   2 10/7                617.488 cents  Euler's tritone
 19:   1 4096/2835           637.040 cents  
 19:   2 81/56               638.994 cents  
 19:   2 196/135             645.473 cents  
 19:   1 18225/12544         646.706 cents  two (septimal wide minor third)
 19:   1 28672/19683         651.231 cents  
 19:   1 35/24               653.185 cents  septimal semi-diminished fifth
 19:   1 72/49               666.258 cents  Arabic lute grave fifth
 19:   2 1792/1215           672.737 cents  
 19:   1 189/128             674.691 cents  
 19:   2 40/27               680.449 cents  grave fifth
 19:  15 3/2                 701.955 cents  perfect fifth
 20:   2 81/56               638.994 cents  
 20:   2 35/24               653.185 cents  septimal semi-diminished fifth
 20:   1 72/49               666.258 cents  Arabic lute grave fifth
 20:   4 1792/1215           672.737 cents  
 20:   1 40/27               680.449 cents  grave fifth
 20:   1 16384/10935         700.001 cents  fifth - schisma, 5-limit approximation to ET fifth
 20:   6 3/2                 701.955 cents  perfect fifth
 20:   2 675/448             709.667 cents  
 20:   1 1024/675            721.508 cents  narrow diminished sixth
 20:   2 243/160             723.461 cents  acute fifth
 20:   5 32/21               729.219 cents  wide fifth
 20:   2 10935/7168          731.173 cents  
 20:   2 49/32               737.652 cents  
 20:   3 14/9                764.916 cents  septimal minor sixth
 21:   1 72/49               666.258 cents  Arabic lute grave fifth
 21:   2 189/128             674.691 cents  
 21:   2 40/27               680.449 cents  grave fifth
 21:   1 16384/10935         700.001 cents  fifth - schisma, 5-limit approximation to ET fifth
 21:   2 3/2                 701.955 cents  perfect fifth
 21:   1 1024/675            721.508 cents  narrow diminished sixth
 21:   1 243/160             723.461 cents  acute fifth
 21:   3 32/21               729.219 cents  wide fifth
 21:   2 10935/7168          731.173 cents  
 21:   1 50176/32805         735.698 cents  
 21:   4 54/35               750.725 cents  septimal semi-augmented fifth
 21:   7 14/9                764.916 cents  septimal minor sixth
 21:   1 25/16               772.627 cents  classic augmented fifth
 21:   3 128/81              792.180 cents  Pythagorean minor sixth
 21:   3 405/256             794.134 cents  wide augmented fifth
 22:   4 3/2                 701.955 cents  perfect fifth
 22:   1 1024/675            721.508 cents  narrow diminished sixth
 22:   1 32/21               729.219 cents  wide fifth
 22:   1 1120/729            743.410 cents  
 22:   2 54/35               750.725 cents  septimal semi-augmented fifth
 22:   2 1215/784            758.437 cents  
 22:   2 14/9                764.916 cents  septimal minor sixth
 22:   1 25/16               772.627 cents  classic augmented fifth
 22:   1 19683/12544         779.943 cents  
 22:   3 63/40               786.422 cents  narrow minor sixth
 22:   5 128/81              792.180 cents  Pythagorean minor sixth
 22:   2 405/256             794.134 cents  wide augmented fifth
 22:   3 8/5                 813.686 cents  minor sixth
 22:   3 45/28               821.398 cents  septimale wide minor sixth
 22:   3 392/243             827.877 cents  
 23:   2 32/21               729.219 cents  wide fifth
 23:   1 49/32               737.652 cents  
 23:   1 54/35               750.725 cents  septimal semi-augmented fifth
 23:   1 14/9                764.916 cents  septimal minor sixth
 23:   1 25/16               772.627 cents  classic augmented fifth
 23:   1 28672/18225         784.468 cents  
 23:   1 128/81              792.180 cents  Pythagorean minor sixth
 23:   4 405/256             794.134 cents  wide augmented fifth
 23:   5 8/5                 813.686 cents  minor sixth
 23:   1 6561/4096           815.640 cents  Pythagorean augmented fifth
 23:   1 8192/5103           819.444 cents  
 23:   2 45/28               821.398 cents  septimale wide minor sixth
 23:   1 392/243             827.877 cents  
 23:   3 512/315             840.950 cents  
 23:   3 729/448             842.904 cents  
 23:   3 3584/2187           855.141 cents  
 23:   3 105/64              857.095 cents  septimal neutral sixth
 24:   2 14/9                764.916 cents  septimal minor sixth
 24:   2 128/81              792.180 cents  Pythagorean minor sixth
 24:   1 405/256             794.134 cents  wide augmented fifth
 24:   2 8/5                 813.686 cents  minor sixth
 24:   1 6561/4096           815.640 cents  Pythagorean augmented fifth
 24:   4 45/28               821.398 cents  septimale wide minor sixth
 24:   1 512/315             840.950 cents  
 24:   2 729/448             842.904 cents  
 24:   2 3584/2187           855.141 cents  
 24:   2 105/64              857.095 cents  septimal neutral sixth
 24:   3 81/49               870.168 cents  two (septimal major third, BP third)
 24:   7 224/135             876.647 cents  narrow septimal major sixth
 24:   3 5/3                 884.359 cents  major sixth, BP sixth
 24:   2 27/16               905.865 cents  Pythagorean major sixth
 25:   1 128/81              792.180 cents  Pythagorean minor sixth
 25:   1 8/5                 813.686 cents  minor sixth
 25:   2 45/28               821.398 cents  septimale wide minor sixth
 25:   1 392/243             827.877 cents  
 25:   2 729/448             842.904 cents  
 25:   1 105/64              857.095 cents  septimal neutral sixth
 25:   1 81/49               870.168 cents  two (septimal major third, BP third)
 25:   3 224/135             876.647 cents  narrow septimal major sixth
 25:   2 1701/1024           878.601 cents  
 25:   1 32768/19683         882.405 cents  Pythagorean diminished seventh
 25:   5 5/3                 884.359 cents  major sixth, BP sixth
 25:   3 2048/1215           903.911 cents  narrow diminished seventh
 25:   6 27/16               905.865 cents  Pythagorean major sixth
 25:   4 12/7                933.129 cents  septimal major sixth
 25:   1 6272/3645           939.608 cents  
 26:   1 512/315             840.950 cents  
 26:   1 729/448             842.904 cents  
 26:   1 3584/2187           855.141 cents  
 26:   1 105/64              857.095 cents  septimal neutral sixth
 26:   1 81/49               870.168 cents  two (septimal major third, BP third)
 26:   1 1701/1024           878.601 cents  
 26:   2 5/3                 884.359 cents  major sixth, BP sixth
 26:   2 2048/1215           903.911 cents  narrow diminished seventh
 26:   5 27/16               905.865 cents  Pythagorean major sixth
 26:   2 6075/3584           913.577 cents  
 26:   3 128/75              925.418 cents  diminished seventh
 26:   3 12/7                933.129 cents  septimal major sixth
 26:   1 6272/3645           939.608 cents  
 26:   3 140/81              947.320 cents  
 26:   2 256/147             960.393 cents  
 26:   5 7/4                 968.826 cents  harmonic seventh
 27:   1 81/49               870.168 cents  two (septimal major third, BP third)
 27:   1 224/135             876.647 cents  narrow septimal major sixth
 27:   1 5/3                 884.359 cents  major sixth, BP sixth
 27:   3 27/16               905.865 cents  Pythagorean major sixth
 27:   1 128/75              925.418 cents  diminished seventh
 27:   5 12/7                933.129 cents  septimal major sixth
 27:   1 441/256             941.562 cents  two (narrow fourth)
 27:   2 140/81              947.320 cents  
 27:   3 243/140             954.635 cents  
 27:   1 57344/32805         966.872 cents  
 27:   3 7/4                 968.826 cents  harmonic seventh
 27:   3 225/128             976.537 cents  augmented sixth
 27:   1 3584/2025           988.378 cents  
 27:   8 16/9                996.090 cents  Pythagorean minor seventh
 28:   1 2048/1215           903.911 cents  narrow diminished seventh
 28:   1 27/16               905.865 cents  Pythagorean major sixth
 28:   2 12/7                933.129 cents  septimal major sixth
 28:   2 10935/6272          962.347 cents  
 28:   5 7/4                 968.826 cents  harmonic seventh
 28:   1 1280/729            974.584 cents  grave minor seventh
 28:   1 225/128             976.537 cents  augmented sixth
 28:   1 3584/2025           988.378 cents  
 28:   6 16/9                996.090 cents  Pythagorean minor seventh
 28:   3 3645/2048           998.044 cents  wide augmented sixth
 28:   5 9/5                 1017.596 cents just minor seventh, BP seventh
 28:   4 1024/567            1023.354 cents 
 28:   2 49/27               1031.787 cents 
 29:   1 12/7                933.129 cents  septimal major sixth
 29:   1 7/4                 968.826 cents  harmonic seventh
 29:   7 16/9                996.090 cents  Pythagorean minor seventh
 29:   1 3645/2048           998.044 cents  wide augmented sixth
 29:   3 9/5                 1017.596 cents just minor seventh, BP seventh
 29:   8 405/224             1025.308 cents 
 29:   3 49/27               1031.787 cents 
 29:   4 64/35               1044.860 cents septimal neutral seventh
 29:   4 448/243             1059.051 cents 
 29:   2 28/15               1080.557 cents grave major seventh
 30:   1 16/9                996.090 cents  Pythagorean minor seventh
 30:   2 9/5                 1017.596 cents just minor seventh, BP seventh
 30:   1 1024/567            1023.354 cents 
 30:   2 405/224             1025.308 cents 
 30:   1 49/27               1031.787 cents 
 30:   3 64/35               1044.860 cents septimal neutral seventh
 30:   3 6561/3584           1046.814 cents 
 30:   2 90/49               1052.572 cents 
 30:   4 448/243             1059.051 cents 
 30:   3 945/512             1061.005 cents 
 30:   4 28/15               1080.557 cents grave major seventh
 30:   2 4096/2187           1086.315 cents Pythagorean diminished octave
 30:   4 15/8                1088.269 cents classic major seventh
 30:   2 256/135             1107.821 cents octave - major chroma
 31:   2 64/35               1044.860 cents septimal neutral seventh
 31:   1 6561/3584           1046.814 cents 
 31:   2 448/243             1059.051 cents 
 31:   3 729/392             1074.078 cents 
 31:   3 28/15               1080.557 cents grave major seventh
 31:   7 15/8                1088.269 cents classic major seventh
 31:   4 256/135             1107.821 cents octave - major chroma
 31:   4 243/128             1109.775 cents Pythagorean major seventh
 31:   4 40/21               1115.533 cents acute major seventh
 31:   2 12544/6561          1122.012 cents 
 31:   2 784/405             1143.518 cents 
 32:   1 729/392             1074.078 cents 
 32:   1 28/15               1080.557 cents grave major seventh
 32:   1 4096/2187           1086.315 cents Pythagorean diminished octave
 32:   4 256/135             1107.821 cents octave - major chroma
 32:   4 243/128             1109.775 cents Pythagorean major seventh
 32:   2 40/21               1115.533 cents acute major seventh
 32:   2 48/25               1129.328 cents classic diminished octave
 32:   8 27/14               1137.039 cents septimal major seventh
 32:   9 35/18               1151.230 cents septimal semi-diminished octave
 32:   2 7168/3645           1170.782 cents 
 33:   1 256/135             1107.821 cents octave - major chroma
 33:   7 27/14               1137.039 cents septimal major seventh
 33:   4 96/49               1164.303 cents 
 33:   4 7168/3645           1170.782 cents 
 33:   9 63/32               1172.736 cents octave - septimal comma
 33:   5 160/81              1178.494 cents octave - syntonic comma
 33:   2 2025/1024           1180.447 cents 2 tritones
 33:   2 448/225             1192.288 cents 
Highest number of different intervals for one interval class: 17
Average number of different intervals per interval class: 13.45455 = 148/11
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    
 0.0   : 63.0 92.2  111.7 140.9 203.9 231.2 266.9 294.1 315.6 323.4 386.3 407.8 435.1 470.8 498.0 561.0 590.2 609.8 639.0 702.0
 729.2 764.9 792.2 813.7 876.6 884.4 905.9 933.1  968.8  996.1  1088.3 1109.8 1137.0 1200.0
 63.0  : 29.2 48.8  78.0  140.9 168.2 203.9 231.2 252.7 260.4 323.4 344.9 372.1 407.8 435.1 498.0 527.3 546.8 576.0 639.0 666.3
 702.0 729.2 750.7 813.7 821.4 842.9 870.2 905.9  933.1  1025.3 1046.8 1074.1 1137.0 1200.0
 92.2  : 19.6 48.8  111.7 139.0 174.7 202.0 223.5 231.2 294.1 315.6 342.9 378.6 405.9 468.8 498.0 517.6 546.8 609.8 637.0 672.7
 700.0 721.5 784.5 792.2 813.7 841.0 876.6 903.9  996.1  1017.6 1044.9 1107.8 1170.8 1200.0
 111.7 : 29.2 92.2  119.4 155.1 182.4 203.9 211.6 274.6 296.1 323.4 359.0 386.3 449.3 478.5 498.0 527.3 590.2 617.5 653.2 680.4
 702.0 764.9 772.6 794.1 821.4 857.1 884.4 976.5  998.0  1025.3 1088.3 1151.2 1180.4 1200.0
 140.9 : 63.0 90.2  125.9 153.2 174.7 182.4 245.4 266.9 294.1 329.8 357.1 420.1 449.3 468.8 498.0 561.0 588.3 624.0 651.2 672.7
 735.7 743.4 764.9 792.2 827.9 855.1 947.3 968.8  996.1  1059.1 1122.0 1151.2 1170.8 1200.0
 203.9 : 27.3 63.0  90.2  111.7 119.4 182.4 203.9 231.2 266.9 294.1 357.1 386.3 405.9 435.1 498.0 525.3 561.0 588.3 609.8 672.7
 680.4 702.0 729.2 764.9 792.2 884.4 905.9 933.1  996.1  1059.1 1088.3 1107.8 1137.0 1200.0
 231.2 : 35.7 63.0  84.5  92.2  155.1 176.6 203.9 239.6 266.9 329.8 359.0 378.6 407.8 470.8 498.0 533.7 561.0 582.5 645.5 653.2
 674.7 702.0 737.7 764.9 857.1 878.6 905.9 968.8  1031.8 1061.0 1080.6 1109.8 1172.7 1200.0
 266.9 : 27.3 48.8  56.5  119.4 140.9 168.2 203.9 231.2 294.1 323.4 342.9 372.1 435.1 462.3 498.0 525.3 546.8 609.8 617.5 639.0
 666.3 702.0 729.2 821.4 842.9 870.2 933.1 996.1  1025.3 1044.9 1074.1 1137.0 1164.3 1200.0
 294.1 : 21.5 29.2  92.2  113.7 140.9 176.6 203.9 266.9 296.1 315.6 344.9 407.8 435.1 470.8 498.0 519.6 582.5 590.2 611.7 639.0
 674.7 702.0 794.1 815.6 842.9 905.9 968.8 998.0  1017.6 1046.8 1109.8 1137.0 1172.7 1200.0
 315.6 : 7.7  70.7  92.2  119.4 155.1 182.4 245.4 274.6 294.1 323.4 386.3 413.6 449.3 476.5 498.0 561.0 568.7 590.2 617.5 653.2
 680.4 772.6 794.1 821.4 884.4 947.3 976.5 996.1  1025.3 1088.3 1115.5 1151.2 1178.5 1200.0
 323.4 : 63.0 84.5  111.7 147.4 174.7 237.7 266.9 286.4 315.6 378.6 405.9 441.6 468.8 490.3 553.3 561.0 582.5 609.8 645.5 672.7
 764.9 786.4 813.7 876.6 939.6 968.8 988.4 1017.6 1080.6 1107.8 1143.5 1170.8 1192.3 1200.0
 386.3 : 21.5 48.8  84.5  111.7 174.7 203.9 223.5 252.7 315.6 342.9 378.6 405.9 427.4 490.3 498.0 519.6 546.8 582.5 609.8 702.0
 723.5 750.7 813.7 876.6 905.9 925.4 954.6 1017.6 1044.9 1080.6 1107.8 1129.3 1137.0 1200.0
 407.8 : 27.3 63.0  90.2  153.2 182.4 202.0 231.2 294.1 321.4 357.1 384.4 405.9 468.8 476.5 498.0 525.3 561.0 588.3 680.4 702.0
 729.2 792.2 855.1 884.4 903.9 933.1 996.1 1023.4 1059.1 1086.3 1107.8 1115.5 1178.5 1200.0
 435.1 : 35.7 63.0  125.9 155.1 174.7 203.9 266.9 294.1 329.8 357.1 378.6 441.6 449.3 470.8 498.0 533.7 561.0 653.2 674.7 702.0
 764.9 827.9 857.1 876.6 905.9 968.8 996.1 1031.8 1059.1 1080.6 1088.3 1151.2 1172.7 1200.0
 470.8 : 27.3 90.2  119.4 139.0 168.2 231.2 258.4 294.1 321.4 342.9 405.9 413.6 435.1 462.3 498.0 525.3 617.5 639.0 666.3 729.2
 792.2 821.4 841.0 870.2 933.1 960.4 996.1 1023.4 1044.9 1052.6 1115.5 1137.0 1164.3 1200.0
 498.0 : 63.0 92.2  111.7 140.9 203.9 231.2 266.9 294.1 315.6 378.6 386.3 407.8 435.1 470.8 498.0 590.2 611.7 639.0 702.0 764.9
 794.1 813.7 842.9 905.9 933.1 968.8 996.1 1017.6 1025.3 1088.3 1109.8 1137.0 1172.7 1200.0
 561.0 : 29.2 48.8  78.0  140.9 168.2 203.9 231.2 252.7 315.6 323.4 344.9 372.1 407.8 435.1 527.3 548.8 576.0 639.0 702.0 731.2
 750.7 779.9 842.9 870.2 905.9 933.1 954.6 962.3  1025.3 1046.8 1074.1 1109.8 1137.0 1200.0
 590.2 : 19.6 48.8  111.7 139.0 174.7 202.0 223.5 286.4 294.1 315.6 342.9 378.6 405.9 498.0 519.6 546.8 609.8 672.7 702.0 721.5
 750.7 813.7 841.0 876.6 903.9 925.4 933.1 996.1  1017.6 1044.9 1080.6 1107.8 1170.8 1200.0
 609.8 : 29.2 92.2  119.4 155.1 182.4 203.9 266.9 274.6 296.1 323.4 359.0 386.3 478.5 500.0 527.3 590.2 653.2 682.4 702.0 731.2
 794.1 821.4 857.1 884.4 905.9 913.6 976.5 998.0  1025.3 1061.0 1088.3 1151.2 1180.4 1200.0
 639.0 : 63.0 90.2  125.9 153.2 174.7 237.7 245.4 266.9 294.1 329.8 357.1 449.3 470.8 498.0 561.0 624.0 653.2 672.7 702.0 764.9
 792.2 827.9 855.1 876.6 884.4 947.3 968.8 996.1  1031.8 1059.1 1122.0 1151.2 1170.8 1200.0
 702.0 : 27.3 63.0  90.2  111.7 174.7 182.4 203.9 231.2 266.9 294.1 386.3 407.8 435.1 498.0 561.0 590.2 609.8 639.0 702.0 729.2
 764.9 792.2 813.7 821.4 884.4 905.9 933.1 968.8  996.1  1059.1 1088.3 1107.8 1137.0 1200.0
 729.2 : 35.7 63.0  84.5  147.4 155.1 176.6 203.9 239.6 266.9 359.0 380.6 407.8 470.8 533.7 563.0 582.5 611.7 674.7 702.0 737.7
 764.9 786.4 794.1 857.1 878.6 905.9 941.6 968.8  1031.8 1061.0 1080.6 1109.8 1172.7 1200.0
 764.9 : 27.3 48.8  111.7 119.4 140.9 168.2 203.9 231.2 323.4 344.9 372.1 435.1 498.0 527.3 546.8 576.0 639.0 666.3 702.0 729.2
 750.7 758.4 821.4 842.9 870.2 905.9 933.1 996.1  1025.3 1044.9 1074.1 1137.0 1164.3 1200.0
 792.2 : 21.5 84.5  92.2  113.7 140.9 176.6 203.9 296.1 317.6 344.9 407.8 470.8 500.0 519.6 548.8 611.7 639.0 674.7 702.0 723.5
 731.2 794.1 815.6 842.9 878.6 905.9 968.8 998.0  1017.6 1046.8 1109.8 1137.0 1172.7 1200.0
 813.7 : 63.0 70.7  92.2  119.4 155.1 182.4 274.6 296.1 323.4 386.3 449.3 478.5 498.0 527.3 590.2 617.5 653.2 680.4 702.0 709.7
 772.6 794.1 821.4 857.1 884.4 947.3 976.5 996.1  1025.3 1088.3 1115.5 1151.2 1178.5 1200.0
 876.6 : 7.7  29.2  56.5  92.2  119.4 211.6 233.1 260.4 323.4 386.3 415.5 435.1 464.3 527.3 554.5 590.2 617.5 639.0 646.7 709.7
 731.2 758.4 794.1 821.4 884.4 913.6 933.1 962.3  1025.3 1052.6 1088.3 1115.5 1137.0 1200.0
 884.4 : 21.5 48.8  84.5  111.7 203.9 225.4 252.7 315.6 378.6 407.8 427.4 456.6 519.6 546.8 582.5 609.8 631.3 639.0 702.0 723.5
 750.7 786.4 813.7 876.6 905.9 925.4 954.6 1017.6 1044.9 1080.6 1107.8 1129.3 1192.3 1200.0
 905.9 : 27.3 63.0  90.2  182.4 203.9 231.2 294.1 357.1 386.3 405.9 435.1 498.0 525.3 561.0 588.3 609.8 617.5 680.4 702.0 729.2
 764.9 792.2 855.1 884.4 903.9 933.1 996.1 1023.4 1059.1 1086.3 1107.8 1170.8 1178.5 1200.0
 933.1 : 35.7 63.0  155.1 176.6 203.9 266.9 329.8 359.0 378.6 407.8 470.8 498.0 533.7 561.0 582.5 590.2 653.2 674.7 702.0 737.7
 764.9 827.9 857.1 876.6 905.9 968.8 996.1 1031.8 1059.1 1080.6 1143.5 1151.2 1172.7 1200.0
 968.8 : 27.3 119.4 140.9 168.2 231.2 294.1 323.4 342.9 372.1 435.1 462.3 498.0 525.3 546.8 554.5 617.5 639.0 666.3 702.0 729.2
 792.2 821.4 841.0 870.2 933.1 960.4 996.1 1023.4 1044.9 1107.8 1115.5 1137.0 1164.3 1200.0
 996.1 : 92.2 113.7 140.9 203.9 266.9 296.1 315.6 344.9 407.8 435.1 470.8 498.0 519.6 527.3 590.2 611.7 639.0 674.7 702.0 764.9
 794.1 813.7 842.9 905.9 933.1 968.8 996.1 1017.6 1080.6 1088.3 1109.8 1137.0 1172.7 1200.0
 1088.3: 21.5 48.8  111.7 174.7 203.9 223.5 252.7 315.6 342.9 378.6 405.9 427.4 435.1 498.0 519.6 546.8 582.5 609.8 672.7 702.0
 721.5 750.7 813.7 841.0 876.6 903.9 925.4 988.4  996.1  1017.6 1044.9 1080.6 1107.8 1200.0
 1109.8: 27.3 90.2  153.2 182.4 202.0 231.2 294.1 321.4 357.1 384.4 405.9 413.6 476.5 498.0 525.3 561.0 588.3 651.2 680.4 700.0
 729.2 792.2 819.4 855.1 882.4 903.9 966.9 974.6  996.1  1023.4 1059.1 1086.3 1178.5 1200.0
 1137.0: 63.0 125.9 155.1 174.7 203.9 266.9 294.1 329.8 357.1 378.6 386.3 449.3 470.8 498.0 533.7 561.0 624.0 653.2 672.7 702.0
 764.9 792.2 827.9 855.1 876.6 939.6 947.3 968.8  996.1  1031.8 1059.1 1151.2 1172.7 1200.0
 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class:
  1:  7.7115    .. 92.1787 cents       21/20, 84.4672 cents               225/224, 7.7115 cents
  2:  29.2178   .. 125.9218 cents      2809856/2657205, 96.7040 cents     27/28,-62.9609 cents
  3:  56.4819   .. 155.1396 cents      343/324, 98.6577 cents             295245/307328,-69.4399 cents
  4:  92.1787   .. 203.9100 cents      16/15, 111.7313 cents              27/28,-62.9609 cents
  5:  119.4428  .. 266.8709 cents      49/45, 147.4281 cents              20/21,-84.4672 cents
  6:  168.2132  .. 296.0887 cents      2205/2048, 127.8755 cents          324/343,-98.6577 cents
  7:  203.9100  .. 329.8318 cents      784/729, 125.9218 cents            128/135,-92.1787 cents
  8:  231.1741  .. 359.0496 cents      2205/2048, 127.8755 cents          324/343,-98.6577 cents
  9:  260.3919  .. 407.8200 cents      49/45, 147.4281 cents              324/343,-98.6577 cents
 10:  294.1350  .. 435.0841 cents      243/224, 140.9491 cents            2048/2187,-113.6850 cents
 11:  342.9054  .. 470.7809 cents      2205/2048, 127.8755 cents          128/135,-92.1787 cents
 12:  372.1232  .. 498.0450 cents      784/729, 125.9218 cents            324/343,-98.6577 cents
 13:  405.8663  .. 533.7418 cents      2205/2048, 127.8755 cents          128/135,-92.1787 cents
 14:  435.0841  .. 561.0059 cents      784/729, 125.9218 cents            324/343,-98.6577 cents
 15:  498.0450  .. 590.2237 cents      135/128, 92.1787 cents             27/28,-62.9609 cents
 16:  517.5976  .. 623.9668 cents      1225/1152, 106.3692 cents          262144/273375,-72.6261 cents
 17:  546.8154  .. 653.1846 cents      1225/1152, 106.3692 cents          6561/6860,-77.1514 cents
 18:  576.0332  .. 682.4024 cents      1225/1152, 106.3692 cents          6561/6860,-77.1514 cents
 19:  609.7763  .. 701.9550 cents      135/128, 92.1787 cents             262144/273375,-72.6261 cents
 20:  638.9941  .. 764.9159 cents      784/729, 125.9218 cents            27/28,-62.9609 cents
 21:  666.2582  .. 794.1337 cents      2205/2048, 127.8755 cents          324/343,-98.6577 cents
 22:  701.9550  .. 827.8768 cents      784/729, 125.9218 cents            128/135,-92.1787 cents
 23:  729.2191  .. 857.0946 cents      2205/2048, 127.8755 cents          324/343,-98.6577 cents
 24:  764.9159  .. 905.8650 cents      243/224, 140.9491 cents            128/135,-92.1787 cents
 25:  792.1800  .. 939.6081 cents      49/45, 147.4281 cents              2048/2187,-113.6850 cents
 26:  840.9504  .. 968.8259 cents      2205/2048, 127.8755 cents          324/343,-98.6577 cents
 27:  870.1682  .. 996.0900 cents      784/729, 125.9218 cents            324/343,-98.6577 cents
 28:  903.9113  .. 1031.7868 cents     2205/2048, 127.8755 cents          128/135,-92.1787 cents
 29:  933.1291  .. 1080.5572 cents     49/45, 147.4281 cents              324/343,-98.6577 cents
 30:  996.0900  .. 1107.8213 cents     16/15, 111.7313 cents              20/21,-84.4672 cents
 31:  1044.8604 .. 1143.5181 cents     343/324, 98.6577 cents             27/28,-62.9609 cents
 32:  1074.0782 .. 1170.7822 cents     2809856/2657205, 96.7040 cents     295245/307328,-69.4399 cents
 33:  1107.8213 .. 1192.2885 cents     21/20, 84.4672 cents               27/28,-62.9609 cents
SHOW DATA
Number of notes                     : 34
-- Interval properties --
Smallest interval                   : 225/224, 7.7115 cents, class 1
Average step (divided formal octave): 35.2941 cents
Largest one step interval           : 135/128, 92.1787 cents
Average / Smallest step             : 4.576802
Largest / Average step              : 2.611730
Largest / Smallest step             : 11.953374
Median interval of one step         : 64/63, 27.2641 cents, amount: 9
Most common interval of one step    : 64/63, 27.2641 cents, amount: 9
Least squares average step          : 34.33037 cents, oct.:  1167.23264 cents
Scale is not proper
Step pattern alph. order: ABCBADEDFGAFDEDABCBADEDFAGFDEDHFDA
Step pattern size order : GEBEGDFDCAGCDFDGEBEGDFDCGACDFDHCDG
Scale is not a Constant Structure
Scale diversity                     : 1.366965
Lumma stability                     : 0.012853
Lumma impropriety factor            : 0.951304
Number of different interval sizes  : 188 = 5.69697 / class
Number of one step interval sizes   : 8
Highest interval variety            : 17
Mean interval variety               : 13.45455 = 148/11
Median interval variety             : 8
Lowest interval variety             : 8
Smallest interval difference        : 2460375/2458624, 1.2325 cents
Most common intervals               : 4/3, 498.0450 cents & inv., amount: 27
Most common triad is 0.0 498.045 701.955 cents, amount: 22
Number of recognisable fifths       : 31, average 702.3265 cents
Scale contains a complete diamond   : 1 3 7 9 21 27 81
Length of longest harmonic part     : 1 at degree 0
Length of longest subharmonic part  : 1 at degree 0
Formal octave complements present   : 31 = 91.1765%
-- Rational properties --
Prime limit                         : 7
Odd number limit                    : 32805 (O: 32805 U: 32805)
Highest odd numerator or denominator: 243
Scale harmonicity                   : 0.014011
Average absolute harmonicity        : 0.106415
Specific harmonicity                : 0.090664
Fundamental                         : 1/362880, -18.4691 octaves, 0.0007 Hz.
Guide tone                          : 1088640,  20.0541 octaves, 284816055.409 Hz.
Exponens Consonantiae               : 3.950457E+11, 38.52323 octaves
Euler's gradus suavitatis           : 53
Sum of Mann's harmonic distance     : 1557.0, average 45.79412
Mersenne's string divisions         : too high to compute
Sum of van Prooijen's expressibility: 43.77214, average 1.28742
Sum of Tenney's harmonic distance   : 87.30290, average 2.56773
Vogel's harmonic complexity         : 32.00000
Wille's k value                     : 344452
Wilson's harmonic complexity        : 51
Rectangular lattice diameter        : 13
Triangular lattice diameter         : 9
Lattice compactness                 : 3420.76346, average 5.74918
Lattice compactness (without 2's)   : 1911.13951, average 3.21200
Number of different primes          : 4
Prime exponents' range, average, count, tones@limit:
  2:  -7 .. 7        -0.08824   113   1
  3:  -4 .. 5         0.38235   69    9
  5:  -1 .. 1         0.02941   11    9
  7:  -1 .. 1        -0.02941   15    15
Average exponent except 2's         : 13 / 34 = 0.38235
Average absolute exponent except 2's: 95 / 34 = 2.79412
FIT/MODE
 34:  2 1 0 1 2 1 1 0 1 0 2 1 0 1 1 2 1 0 1 2 1 1 0 1 2 0 1 0 1 1 3 0 1 2   N        SD: 9.9695 c. M:-15.8847 c. 
 35:  2 1 0 1 2 1 1 1 0 0 2 1 1 1 1 1 1 1 1 1 1 1 1 1 2 0 0 1 1 1 3 0 1 2   N        SD: 9.8071 c. M:-16.2407 c. 
 36:  2 1 0 1 2 1 1 1 0 1 2 0 1 1 1 2 1 0 1 2 1 1 1 0 2 1 0 1 1 1 3 0 1 2   N        SD: 7.8862 c. M: 15.6413 c. 
 38:  2 1 1 0 2 1 1 1 1 0 2 1 1 1 1 2 1 0 1 2 1 1 1 1 2 0 1 1 1 1 2 1 1 2   N        SD: 8.8270 c. M: 14.6333 c. 
 41:  2 1 1 1 2 1 1 1 1 0 2 1 1 1 1 2 1 1 1 2 1 1 1 1 2 0 1 1 1 1 3 1 1 2   N        SD: 3.8201 c. M:-6.3099 c. 
 53:  3 1 1 1 3 1 2 1 1 0 3 1 1 2 1 3 1 1 1 3 1 2 1 1 3 0 1 1 2 1 4 1 1 3   N        SD: 3.4753 c. M: 6.3717 c. 
 77:  4 2 1 2 4 2 2 2 1 1 4 1 2 2 2 4 2 1 2 4 2 2 2 1 4 1 1 2 2 2 6 1 2 4   N        SD: 2.3669 c. M:-3.9530 c. 
 94:  5 2 2 2 5 2 3 2 2 0 5 2 2 3 2 5 2 2 2 5 2 3 2 2 5 0 2 2 3 2 7 2 2 5   N        SD: 2.0802 c. M:-4.2039 c. 
 118: 6 3 2 3 6 3 3 3 2 1 6 2 3 3 3 6 3 2 3 6 3 3 3 2 6 1 2 3 3 3 9 2 3 6   N        SD: 1.5830 c. M:-2.9843 c. 
 130: 7 3 2 3 7 3 4 3 2 1 7 2 3 4 3 7 3 2 3 7 3 4 3 2 7 1 2 3 4 3 10 2 3 7   N        SD: 1.2437 c. M: 2.4876 c. 
 171: 9 4 3 4 9 4 5 4 3 1 9 3 4 5 4 9 4 3 4 9 4 5 4 3 9 1 3 4 5 4 13 3 4 9   N        SD: 0.5097 c. M: 1.0031 c. 
 400: 21 10 6 10 21 9 12 9 7 3 21 7 9 12 9 21 10 6 10 21 9 12 9 7 21 3 7 9 12 9 31 7 9 21   N        SD: 0.4177 c. M:-0.8213 c. 
 441: 23 11 7 11 23 10 13 10 8 3 23 8 10 13 10 23 11 7 11 23 10 13 10 8 23 3 8 10 13 10 34 8 10 23   N        SD: 0.2789 c. M:-0.5475 c. 
 494: 26 12 8 12 26 11 15 11 9 3 26 9 11 15 11 26 12 8 12 26 11 15 11 9 26 3 9 11 15 11 38 9 11 26   N        SD: 0.2363 c. M:-0.4742 c. 
 571: 30 14 9 14 30 13 17 13 10 4 30 10 13 17 13 30 14 9 14 30 13 17 13 10 30 4 10 13 17 13 44 10 13 30   N        SD: 0.2065 c. M: 0.4049 c. 
 612: 32 15 10 15 32 14 18 14 11 4 32 11 14 18 14 32 15 10 15 32 14 18 14 11 32 4 11 14 18 14 47 11 14 32   N        SD: 0.1377 c. M:-0.2274 c. 
 1065: 56 26 17 26 56 24 32 24 19 7 56 19 24 32 24 56 26 17 26 56 24 32 24 19 56 7 19 24 32 24 82 19 24 56   N        SD: 0.1388 c. M:-0.2156 c. 
 1106: 58 27 18 27 58 25 33 25 20 7 58 20 25 33 25 58 27 18 27 58 25 33 25 20 58 7 20 25 33 25 85 20 25 58   N        SD: 0.0732 c. M:-0.1707 c. 
 1277: 67 31 21 31 67 29 38 29 23 8 67 23 29 38 29 67 31 21 31 67 29 38 29 23 67 8 23 29 38 29 98 23 29 67   N        SD: 0.0539 c. M:-0.0987 c. 
 1848: 97 45 30 45 97 42 55 42 33 12 97 33 42 55 42 97 45 30 45 97 42 55 42 33 97 12 33 42 55 42 142 33 42 97   N        SD: 0.0297 c. M: 0.0569 c. 
 2954: 155 72 48 72 155 67 88 67 53 19 155 53 67 88 67 155 72 48 72 155 67 88 67 53 155 19 53 67 88 67 227 53 67 155   N        SD: 0.0216 c. M:-0.0422 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: 0.0000 cents
 5 .. 10  match: 5  H SD: 4.5694 cents
 6 .. 12  match: 6  H SD: 6.4843 cents
 7 .. 14  match: 7  H SD: 2.9547 cents
 8 .. 16  match: 8  H SD: 3.5670 cents
 9 .. 18  match: 9  H SD: 3.7235 cents
 10 .. 20  match: 10  H SD: 3.9248 cents
 11 .. 22  match: 11  H SD: 5.2763 cents
 12 .. 24  match: 11    SD: 1.2125 cents
 13 .. 26  match: 13  H SD: 4.1512 cents
 14 .. 28  match: 14  H SD: 3.1499 cents
 15 .. 30  match: 15  H SD: 2.7764 cents
 16 .. 32  match: 15  S SD: 2.2211 cents
 17 .. 34  match: 16  S SD: 3.4690 cents
 18 .. 36  match: 17  S SD: 2.4313 cents
 19 .. 38  match: 16    SD: 2.8956 cents
 20 .. 40  match: 19  S SD: 2.7323 cents
 21 .. 42  match: 19    SD: 2.4786 cents
 22 .. 44  match: 19    SD: 2.8231 cents
 23 .. 46  match: 20    SD: 2.2910 cents
 24 .. 48  match: 21    SD: 1.5603 cents
 25 .. 50  match: 20    SD: 1.8929 cents
 26 .. 52  match: 22    SD: 2.2743 cents
 27 .. 54  match: 22    SD: 2.1110 cents
 28 .. 56  match: 23    SD: 1.9103 cents
 29 .. 58  match: 24    SD: 1.6174 cents
 30 .. 60  match: 23    SD: 2.1011 cents
 31 .. 62  match: 25    SD: 1.7234 cents
 32 .. 64  match: 27    SD: 1.5354 cents
 33 .. 66  match: 27    SD: 1.7386 cents
 34 .. 68  match: 25    SD: 1.7441 cents
 35 .. 70  match: 27    SD: 1.6779 cents
 36 .. 72  match: 26    SD: 1.2990 cents
 37 .. 74  match: 27    SD: 1.9189 cents
 38 .. 76  match: 28    SD: 1.4355 cents
 39 .. 78  match: 26    SD: 1.6297 cents
 40 .. 80  match: 29    SD: 1.5120 cents
 41 .. 82  match: 27    SD: 1.3892 cents
 42 .. 84  match: 30    SD: 1.2491 cents
 43 .. 86  match: 31    SD: 1.5838 cents
 44 .. 88  match: 29    SD: 1.4705 cents
 45 .. 90  match: 29    SD: 1.1667 cents
 46 .. 92  match: 29    SD: 1.4780 cents
 47 .. 94  match: 30    SD: 1.2641 cents
 48 .. 96  match: 30    SD: 0.9336 cents
 49 .. 98  match: 32    SD: 1.0625 cents
 50 .. 100  match: 30    SD: 1.1273 cents
 51 .. 102  match: 30    SD: 1.4231 cents
 52 .. 104  match: 31    SD: 1.1076 cents
 53 .. 106  match: 30    SD: 1.2711 cents
 54 .. 108  match: 31    SD: 1.0682 cents
 55 .. 110  match: 33    SD: 1.0085 cents
 56 .. 112  match: 33    SD: 1.0695 cents
 57 .. 114  match: 32    SD: 0.9544 cents
 58 .. 116  match: 31    SD: 1.0143 cents
 59 .. 118  match: 32    SD: 0.9992 cents
 60 .. 120  match: 32    SD: 0.8869 cents
 62 .. 124  match: 32    SD: 1.1332 cents
 63 .. 126  match: 32    SD: 1.0113 cents
 64 .. 128  match: 32    SD: 0.9514 cents
 65 .. 130  match: 31    SD: 1.0428 cents
 66 .. 132  match: 32    SD: 1.1185 cents
 67 .. 134  match: 33    SD: 0.9676 cents
 68 .. 136  match: 32    SD: 1.0451 cents
 69 .. 138  match: 33    SD: 0.9739 cents
 70 .. 140  match: 33    SD: 0.8619 cents
 71 .. 142  match: 33    SD: 0.7625 cents
 73 .. 146  match: 33    SD: 0.8206 cents
 74 .. 148  match: 32    SD: 0.8232 cents
 75 .. 150  match: 33    SD: 0.9329 cents
 76 .. 152  match: 34    SD: 0.7305 cents
 77 .. 154  match: 33    SD: 0.8479 cents
 78 .. 156  match: 33    SD: 0.7622 cents
 79 .. 158  match: 33    SD: 0.7772 cents
 80 .. 160  match: 32    SD: 0.7163 cents
 83 .. 166  match: 32    SD: 0.7525 cents
 84 .. 168  match: 33    SD: 0.7382 cents
 85 .. 170  match: 33    SD: 0.7747 cents
 86 .. 172  match: 33    SD: 0.7097 cents
 87 .. 174  match: 34    SD: 0.7044 cents
 88 .. 176  match: 33    SD: 0.6723 cents
 89 .. 178  match: 32    SD: 0.7618 cents
 90 .. 180  match: 33    SD: 0.6005 cents
 92 .. 184  match: 33    SD: 0.6737 cents
 93 .. 186  match: 33    SD: 0.7117 cents
 94 .. 188  match: 33    SD: 0.6990 cents
 95 .. 190  match: 33    SD: 0.6913 cents
 96 .. 192  match: 34    SD: 0.6111 cents
 98 .. 196  match: 32    SD: 0.6944 cents
 99 .. 198  match: 33    SD: 0.6585 cents
 101 .. 202  match: 33    SD: 0.6931 cents
 102 .. 204  match: 34    SD: 0.5958 cents
 103 .. 206  match: 33    SD: 0.5786 cents
 104 .. 208  match: 32    SD: 0.5910 cents
 105 .. 210  match: 34    SD: 0.5090 cents
 107 .. 214  match: 33    SD: 0.5924 cents
 108 .. 216  match: 33    SD: 0.4801 cents
 109 .. 218  match: 33    SD: 0.5104 cents
 110 .. 220  match: 33    SD: 0.6056 cents
 111 .. 222  match: 34    SD: 0.5954 cents
 112 .. 224  match: 34    SD: 0.4841 cents
 113 .. 226  match: 33    SD: 0.5459 cents
 114 .. 228  match: 33    SD: 0.5591 cents
 115 .. 230  match: 34    SD: 0.5521 cents
 118 .. 236  match: 33    SD: 0.5292 cents
 119 .. 238  match: 33    SD: 0.5176 cents
 120 .. 240  match: 34    SD: 0.4698 cents
 123 .. 246  match: 33    SD: 0.5658 cents
 124 .. 248  match: 33    SD: 0.5588 cents
 125 .. 250  match: 34    SD: 0.4976 cents
 126 .. 252  match: 34    SD: 0.4438 cents
 128 .. 256  match: 33    SD: 0.4085 cents
 129 .. 258  match: 33    SD: 0.4957 cents
 130 .. 260  match: 34    SD: 0.4554 cents
 131 .. 262  match: 34    SD: 0.4535 cents
 132 .. 264  match: 34    SD: 0.4399 cents
 133 .. 266  match: 33    SD: 0.4684 cents
 135 .. 270  match: 34    SD: 0.4221 cents
 138 .. 276  match: 33    SD: 0.4538 cents
 140 .. 280  match: 34    SD: 0.3972 cents
 143 .. 286  match: 33    SD: 0.4466 cents
 144 .. 288  match: 34    SD: 0.3879 cents
 148 .. 296  match: 33    SD: 0.4694 cents
 150 .. 300  match: 34    SD: 0.3706 cents
 153 .. 306  match: 33    SD: 0.4024 cents
 155 .. 310  match: 34    SD: 0.4008 cents
 157 .. 314  match: 34    SD: 0.4007 cents
 158 .. 316  match: 33    SD: 0.4482 cents
 159 .. 318  match: 34    SD: 0.4276 cents
 160 .. 320  match: 34    SD: 0.3652 cents
 161 .. 322  match: 34    SD: 0.3528 cents
 162 .. 324  match: 34    SD: 0.3289 cents
 163 .. 326  match: 33    SD: 0.3914 cents
 164 .. 328  match: 34    SD: 0.3619 cents
 166 .. 332  match: 34    SD: 0.3491 cents
 167 .. 334  match: 34    SD: 0.3277 cents
 168 .. 336  match: 34    SD: 0.3135 cents
 180 .. 360  match: 34    SD: 0.2978 cents
 185 .. 370  match: 34    SD: 0.2747 cents
 199 .. 398  match: 34    SD: 0.2727 cents
 210 .. 420  match: 34    SD: 0.2627 cents
 215 .. 430  match: 34    SD: 0.2599 cents
 216 .. 432  match: 34    SD: 0.2594 cents
 224 .. 448  match: 34    SD: 0.2346 cents
 238 .. 476  match: 34    SD: 0.2306 cents
 240 .. 480  match: 34    SD: 0.2137 cents
 270 .. 540  match: 34    SD: 0.2107 cents
 272 .. 544  match: 34    SD: 0.1988 cents
 288 .. 576  match: 34    SD: 0.1853 cents
 320 .. 640  match: 34    SD: 0.1757 cents
 329 .. 658  match: 34    SD: 0.1531 cents
 365 .. 730  match: 34    SD: 0.1519 cents
 376 .. 752  match: 34    SD: 0.1514 cents
 378 .. 756  match: 34    SD: 0.1444 cents
 384 .. 768  match: 34    SD: 0.1191 cents
 448 .. 896  match: 34    SD: 0.1169 cents
 455 .. 910  match: 34    SD: 0.1116 cents
 493 .. 986  match: 34    SD: 0.1115 cents
 496 .. 992  match: 34    SD: 0.1087 cents
 512 .. 1024  match: 34    SD: 0.0975 cents
 540 .. 1080  match: 34    SD: 0.0951 cents
 567 .. 1134  match: 34    SD: 0.0932 cents
 569 .. 1138  match: 34    SD: 0.0929 cents
 588 .. 1176  match: 34    SD: 0.0853 cents