Scala analysis: mircube

Major harmonic cube of 27 tetrads in TOP miracle tuning

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

SHOW
  0:          1/1               0.000000 unison, perfect prime
  1:         33.425 cents      33.424588
  2:         66.849 cents      66.849178
  3:         83.296 cents      83.296052
  4:        116.721 cents     116.720642
  5:        150.145 cents     150.145230
  6:        200.017 cents     200.016694
  7:        233.441 cents     233.441286
  8:        266.866 cents     266.865874
  9:        316.737 cents     316.737338
 10:        350.162 cents     350.161928
 11:        383.587 cents     383.586516
 12:        433.458 cents     433.457980
 13:        466.883 cents     466.882568
 14:        500.307 cents     500.307160
 15:        583.603 cents     583.603212
 16:        617.028 cents     617.027802
 17:        650.452 cents     650.452390
 18:        700.324 cents     700.323854
 19:        733.748 cents     733.748442
 20:        767.173 cents     767.173032
 21:        817.044 cents     817.044498
 22:        850.469 cents     850.469084
 23:        883.894 cents     883.893676
 24:        900.341 cents     900.340550
 25:        933.765 cents     933.765140
 26:        967.190 cents     967.189728
 27:       1000.614 cents    1000.614318
 28:       1017.061 cents    1017.061192
 29:       1083.910 cents    1083.910370
 30:       1150.760 cents    1150.759550
 31:       1200.631 cents    1200.631010
SHOW/INTERVAL
  0:         49.8715 cents     49.8715
  1:         33.4246 cents     33.4246
  2:         33.4246 cents     33.4246
  3:         16.4469 cents     16.4469
  4:         33.4246 cents     33.4246
  5:         33.4246 cents     33.4246
  6:         49.8715 cents     49.8715
  7:         33.4246 cents     33.4246
  8:         33.4246 cents     33.4246
  9:         49.8715 cents     49.8715
 10:         33.4246 cents     33.4246
 11:         33.4246 cents     33.4246
 12:         49.8715 cents     49.8715
 13:         33.4246 cents     33.4246
 14:         33.4246 cents     33.4246
 15:         83.2961 cents     83.2961
 16:         33.4246 cents     33.4246
 17:         33.4246 cents     33.4246
 18:         49.8715 cents     49.8715
 19:         33.4246 cents     33.4246
 20:         33.4246 cents     33.4246
 21:         49.8715 cents     49.8715
 22:         33.4246 cents     33.4246
 23:         33.4246 cents     33.4246
 24:         16.4469 cents     16.4469
 25:         33.4246 cents     33.4246
 26:         33.4246 cents     33.4246
 27:         33.4246 cents     33.4246
 28:         16.4469 cents     16.4469
 29:         66.8492 cents     66.8492
 30:         66.8492 cents     66.8492
 31:         49.8715 cents     49.8715
SHOW INTERVALS
Interval class, Number of incidences, Size:
  1:   3 16.44687 cents
  1:  19 33.42459 cents
  1:   6 49.87146 cents
  1:   2 66.84918 cents
  1:   1 83.29605 cents
  2:   5 49.87146 cents
  2:  10 66.84918 cents
  2:  12 83.29605 cents
  2:   3 116.72064 cents
  2:   1 133.69836 cents
  3:   7 83.29605 cents
  3:   1 100.27377 cents
  3:  17 116.72064 cents
  3:   5 150.14523 cents
  3:   1 183.56982 cents
  4:   6 116.72064 cents
  4:   3 133.16752 cents
  4:  11 150.14523 cents
  4:   3 166.59211 cents
  4:   4 183.56982 cents
  4:   3 200.01670 cents
  4:   1 216.99441 cents
  5:   1 133.16752 cents
  5:   3 150.14523 cents
  5:   5 166.59211 cents
  5:   6 183.56982 cents
  5:   7 200.01670 cents
  5:   2 216.99441 cents
  5:   6 233.44128 cents
  5:   1 250.41900 cents
  6:   1 166.59211 cents
  6:   1 183.56982 cents
  6:   8 200.01669 cents
  6:  10 233.44129 cents
  6:   1 250.41900 cents
  6:  10 266.86587 cents
  7:   1 200.01669 cents
  7:   6 233.44129 cents
  7:   3 249.88816 cents
  7:   8 266.86588 cents
  7:   2 283.31275 cents
  7:   8 300.29046 cents
  7:   3 316.73734 cents
  8:   1 249.88816 cents
  8:   4 266.86587 cents
  8:   5 283.31275 cents
  8:   4 300.29046 cents
  8:   6 316.73734 cents
  8:   5 333.71505 cents
  8:   6 350.16193 cents
  9:   1 283.31275 cents
  9:   1 300.29046 cents
  9:   8 316.73734 cents
  9:   1 333.71505 cents
  9:   9 350.16193 cents
  9:   1 367.13964 cents
  9:  10 383.58652 cents
 10:   1 316.73734 cents
 10:   6 350.16193 cents
 10:   2 366.60880 cents
 10:  10 383.58652 cents
 10:   2 400.03339 cents
 10:   7 417.01111 cents
 10:   3 433.45798 cents
 11:   1 366.60880 cents
 11:   4 383.58652 cents
 11:   4 400.03339 cents
 11:   6 417.01111 cents
 11:   6 433.45798 cents
 11:   4 450.43570 cents
 11:   6 466.88257 cents
 12:   1 400.03339 cents
 12:   1 417.01111 cents
 12:   7 433.45798 cents
 12:   3 450.43570 cents
 12:   9 466.88257 cents
 12:  10 500.30716 cents
 13:   1 433.45798 cents
 13:   6 466.88257 cents
 13:   1 483.32944 cents
 13:  11 500.30716 cents
 13:   3 516.75403 cents
 13:   7 533.73175 cents
 13:   2 550.17862 cents
 14:   4 500.30716 cents
 14:   4 516.75403 cents
 14:   7 533.73175 cents
 14:   8 550.17862 cents
 14:   4 567.15634 cents
 14:   4 583.60321 cents
 15:   1 533.73174 cents
 15:   6 550.17862 cents
 15:   4 567.15634 cents
 15:  13 583.60321 cents
 15:   7 617.02780 cents
 16:   7 583.60321 cents
 16:  13 617.02780 cents
 16:   4 633.47468 cents
 16:   6 650.45239 cents
 16:   1 666.89927 cents
 17:   4 617.02780 cents
 17:   4 633.47468 cents
 17:   8 650.45239 cents
 17:   7 666.89927 cents
 17:   4 683.87698 cents
 17:   4 700.32386 cents
 18:   2 650.45239 cents
 18:   7 666.89926 cents
 18:   3 683.87698 cents
 18:  11 700.32385 cents
 18:   1 717.30157 cents
 18:   6 733.74845 cents
 18:   1 767.17303 cents
 19:  10 700.32385 cents
 19:   9 733.74844 cents
 19:   3 750.19532 cents
 19:   7 767.17303 cents
 19:   1 783.61990 cents
 19:   1 800.59762 cents
 20:   6 733.74844 cents
 20:   4 750.19532 cents
 20:   6 767.17303 cents
 20:   6 783.61991 cents
 20:   4 800.59762 cents
 20:   4 817.04449 cents
 20:   1 834.02221 cents
 21:   3 767.17303 cents
 21:   7 783.61991 cents
 21:   2 800.59762 cents
 21:  10 817.04450 cents
 21:   2 834.02221 cents
 21:   6 850.46908 cents
 21:   1 883.89367 cents
 22:  10 817.04450 cents
 22:   1 833.49137 cents
 22:   9 850.46908 cents
 22:   1 866.91596 cents
 22:   8 883.89368 cents
 22:   1 900.34055 cents
 22:   1 917.31826 cents
 23:   6 850.46908 cents
 23:   5 866.91596 cents
 23:   6 883.89368 cents
 23:   4 900.34055 cents
 23:   5 917.31826 cents
 23:   4 933.76514 cents
 23:   1 950.74285 cents
 24:   3 883.89367 cents
 24:   8 900.34055 cents
 24:   2 917.31827 cents
 24:   8 933.76514 cents
 24:   3 950.74286 cents
 24:   6 967.18972 cents
 24:   1 1000.61432 cents
 25:  10 933.76514 cents
 25:   1 950.21201 cents
 25:  10 967.18973 cents
 25:   8 1000.61432 cents
 25:   1 1017.06119 cents
 25:   1 1034.03890 cents
 26:   1 950.21201 cents
 26:   6 967.18973 cents
 26:   2 983.63660 cents
 26:   7 1000.61432 cents
 26:   6 1017.06119 cents
 26:   5 1034.03891 cents
 26:   3 1050.48578 cents
 26:   1 1067.46349 cents
 27:   1 983.63660 cents
 27:   3 1000.61432 cents
 27:   4 1017.06119 cents
 27:   3 1034.03890 cents
 27:  11 1050.48578 cents
 27:   3 1067.46350 cents
 27:   6 1083.91037 cents
 28:   1 1017.06119 cents
 28:   5 1050.48578 cents
 28:  17 1083.91037 cents
 28:   1 1100.35724 cents
 28:   7 1117.33496 cents
 29:   1 1066.93265 cents
 29:   3 1083.91037 cents
 29:  12 1117.33496 cents
 29:  10 1133.78183 cents
 29:   5 1150.75955 cents
 30:   1 1117.33496 cents
 30:   2 1133.78183 cents
 30:   6 1150.75955 cents
 30:  19 1167.20642 cents
 30:   3 1184.18414 cents
Highest number of different intervals for one interval class: 8
Average number of different intervals per interval class: 6.33333 = 19/3
SHOW/LINE/CENTS INTERVALS
         1    2     3     4     5     6     7     8     9     10    11    12    13    14    15    16    17    18    19    20   
 21    22    23    24     25     26     27     28     29     30     31    
 0.0   : 33.4 66.8  83.3  116.7 150.1 200.0 233.4 266.9 316.7 350.2 383.6 433.5 466.9 500.3 583.6 617.0 650.5 700.3 733.7 767.2
 817.0 850.5 883.9 900.3  933.8  967.2  1000.6 1017.1 1083.9 1150.8 1200.6
 33.4  : 33.4 49.9  83.3  116.7 166.6 200.0 233.4 283.3 316.7 350.2 400.0 433.5 466.9 550.2 583.6 617.0 666.9 700.3 733.7 783.6
 817.0 850.5 866.9 900.3  933.8  967.2  983.6  1050.5 1117.3 1167.2 1200.6
 66.8  : 16.4 49.9  83.3  133.2 166.6 200.0 249.9 283.3 316.7 366.6 400.0 433.5 516.8 550.2 583.6 633.5 666.9 700.3 750.2 783.6
 817.0 833.5 866.9 900.3  933.8  950.2  1017.1 1083.9 1133.8 1167.2 1200.6
 83.3  : 33.4 66.8  116.7 150.1 183.6 233.4 266.9 300.3 350.2 383.6 417.0 500.3 533.7 567.2 617.0 650.5 683.9 733.7 767.2 800.6
 817.0 850.5 883.9 917.3  933.8  1000.6 1067.5 1117.3 1150.8 1184.2 1200.6
 116.7 : 33.4 83.3  116.7 150.1 200.0 233.4 266.9 316.7 350.2 383.6 466.9 500.3 533.7 583.6 617.0 650.5 700.3 733.7 767.2 783.6
 817.0 850.5 883.9 900.3  967.2  1034.0 1083.9 1117.3 1150.8 1167.2 1200.6
 150.1 : 49.9 83.3  116.7 166.6 200.0 233.4 283.3 316.7 350.2 433.5 466.9 500.3 550.2 583.6 617.0 666.9 700.3 733.7 750.2 783.6
 817.0 850.5 866.9 933.8  1000.6 1050.5 1083.9 1117.3 1133.8 1167.2 1200.6
 200.0 : 33.4 66.8  116.7 150.1 183.6 233.4 266.9 300.3 383.6 417.0 450.4 500.3 533.7 567.2 617.0 650.5 683.9 700.3 733.7 767.2
 800.6 817.0 883.9 950.7  1000.6 1034.0 1067.5 1083.9 1117.3 1150.8 1200.6
 233.4 : 33.4 83.3  116.7 150.1 200.0 233.4 266.9 350.2 383.6 417.0 466.9 500.3 533.7 583.6 617.0 650.5 666.9 700.3 733.7 767.2
 783.6 850.5 917.3 967.2  1000.6 1034.0 1050.5 1083.9 1117.3 1167.2 1200.6
 266.9 : 49.9 83.3  116.7 166.6 200.0 233.4 316.7 350.2 383.6 433.5 466.9 500.3 550.2 583.6 617.0 633.5 666.9 700.3 733.7 750.2
 817.0 883.9 933.8 967.2  1000.6 1017.1 1050.5 1083.9 1133.8 1167.2 1200.6
 316.7 : 33.4 66.8  116.7 150.1 183.6 266.9 300.3 333.7 383.6 417.0 450.4 500.3 533.7 567.2 583.6 617.0 650.5 683.9 700.3 767.2
 834.0 883.9 917.3 950.7  967.2  1000.6 1034.0 1083.9 1117.3 1150.8 1200.6
 350.2 : 33.4 83.3  116.7 150.1 233.4 266.9 300.3 350.2 383.6 417.0 466.9 500.3 533.7 550.2 583.6 617.0 650.5 666.9 733.7 800.6
 850.5 883.9 917.3 933.8  967.2  1000.6 1050.5 1083.9 1117.3 1167.2 1200.6
 383.6 : 49.9 83.3  116.7 200.0 233.4 266.9 316.7 350.2 383.6 433.5 466.9 500.3 516.8 550.2 583.6 617.0 633.5 700.3 767.2 817.0
 850.5 883.9 900.3 933.8  967.2  1017.1 1050.5 1083.9 1133.8 1167.2 1200.6
 433.5 : 33.4 66.8  150.1 183.6 217.0 266.9 300.3 333.7 383.6 417.0 450.4 466.9 500.3 533.7 567.2 583.6 650.5 717.3 767.2 800.6
 834.0 850.5 883.9 917.3  967.2  1000.6 1034.0 1083.9 1117.3 1150.8 1200.6
 466.9 : 33.4 116.7 150.1 183.6 233.4 266.9 300.3 350.2 383.6 417.0 433.5 466.9 500.3 533.7 550.2 617.0 683.9 733.7 767.2 800.6
 817.0 850.5 883.9 933.8  967.2  1000.6 1050.5 1083.9 1117.3 1167.2 1200.6
 500.3 : 83.3 116.7 150.1 200.0 233.4 266.9 316.7 350.2 383.6 400.0 433.5 466.9 500.3 516.8 583.6 650.5 700.3 733.7 767.2 783.6
 817.0 850.5 900.3 933.8  967.2  1017.1 1050.5 1083.9 1133.8 1167.2 1200.6
 583.6 : 33.4 66.8  116.7 150.1 183.6 233.4 266.9 300.3 316.7 350.2 383.6 417.0 433.5 500.3 567.2 617.0 650.5 683.9 700.3 733.7
 767.2 817.0 850.5 883.9  933.8  967.2  1000.6 1050.5 1083.9 1117.3 1200.6
 617.0 : 33.4 83.3  116.7 150.1 200.0 233.4 266.9 283.3 316.7 350.2 383.6 400.0 466.9 533.7 583.6 617.0 650.5 666.9 700.3 733.7
 783.6 817.0 850.5 900.3  933.8  967.2  1017.1 1050.5 1083.9 1167.2 1200.6
 650.5 : 49.9 83.3  116.7 166.6 200.0 233.4 249.9 283.3 316.7 350.2 366.6 433.5 500.3 550.2 583.6 617.0 633.5 666.9 700.3 750.2
 783.6 817.0 866.9 900.3  933.8  983.6  1017.1 1050.5 1133.8 1167.2 1200.6
 700.3 : 33.4 66.8  116.7 150.1 183.6 200.0 233.4 266.9 300.3 316.7 383.6 450.4 500.3 533.7 567.2 583.6 617.0 650.5 700.3 733.7
 767.2 817.0 850.5 883.9  933.8  967.2  1000.6 1083.9 1117.3 1150.8 1200.6
 733.7 : 33.4 83.3  116.7 150.1 166.6 200.0 233.4 266.9 283.3 350.2 417.0 466.9 500.3 533.7 550.2 583.6 617.0 666.9 700.3 733.7
 783.6 817.0 850.5 900.3  933.8  967.2  1050.5 1083.9 1117.3 1167.2 1200.6
 767.2 : 49.9 83.3  116.7 133.2 166.6 200.0 233.4 249.9 316.7 383.6 433.5 466.9 500.3 516.8 550.2 583.6 633.5 666.9 700.3 750.2
 783.6 817.0 866.9 900.3  933.8  1017.1 1050.5 1083.9 1133.8 1167.2 1200.6
 817.0 : 33.4 66.8  83.3  116.7 150.1 183.6 200.0 266.9 333.7 383.6 417.0 450.4 466.9 500.3 533.7 583.6 617.0 650.5 700.3 733.7
 767.2 817.0 850.5 883.9  967.2  1000.6 1034.0 1083.9 1117.3 1150.8 1200.6
 850.5 : 33.4 49.9  83.3  116.7 150.1 166.6 233.4 300.3 350.2 383.6 417.0 433.5 466.9 500.3 550.2 583.6 617.0 666.9 700.3 733.7
 783.6 817.0 850.5 933.8  967.2  1000.6 1050.5 1083.9 1117.3 1167.2 1200.6
 883.9 : 16.4 49.9  83.3  116.7 133.2 200.0 266.9 316.7 350.2 383.6 400.0 433.5 466.9 516.8 550.2 583.6 633.5 666.9 700.3 750.2
 783.6 817.0 900.3 933.8  967.2  1017.1 1050.5 1083.9 1133.8 1167.2 1200.6
 900.3 : 33.4 66.8  100.3 116.7 183.6 250.4 300.3 333.7 367.1 383.6 417.0 450.4 500.3 533.7 567.2 617.0 650.5 683.9 733.7 767.2
 800.6 883.9 917.3 950.7  1000.6 1034.0 1067.5 1117.3 1150.8 1184.2 1200.6
 933.8 : 33.4 66.8  83.3  150.1 217.0 266.9 300.3 333.7 350.2 383.6 417.0 466.9 500.3 533.7 583.6 617.0 650.5 700.3 733.7 767.2
 850.5 883.9 917.3 967.2  1000.6 1034.0 1083.9 1117.3 1150.8 1167.2 1200.6
 967.2 : 33.4 49.9  116.7 183.6 233.4 266.9 300.3 316.7 350.2 383.6 433.5 466.9 500.3 550.2 583.6 617.0 666.9 700.3 733.7 817.0
 850.5 883.9 933.8 967.2  1000.6 1050.5 1083.9 1117.3 1133.8 1167.2 1200.6
 1000.6: 16.4 83.3  150.1 200.0 233.4 266.9 283.3 316.7 350.2 400.0 433.5 466.9 516.8 550.2 583.6 633.5 666.9 700.3 783.6 817.0
 850.5 900.3 933.8 967.2  1017.1 1050.5 1083.9 1100.4 1133.8 1167.2 1200.6
 1017.1: 66.8 133.7 183.6 217.0 250.4 266.9 300.3 333.7 383.6 417.0 450.4 500.3 533.7 567.2 617.0 650.5 683.9 767.2 800.6 834.0
 883.9 917.3 950.7 1000.6 1034.0 1067.5 1083.9 1117.3 1150.8 1184.2 1200.6
 1083.9: 66.8 116.7 150.1 183.6 200.0 233.4 266.9 316.7 350.2 383.6 433.5 466.9 500.3 550.2 583.6 617.0 700.3 733.7 767.2 817.0
 850.5 883.9 933.8 967.2  1000.6 1017.1 1050.5 1083.9 1117.3 1133.8 1200.6
 1150.8: 49.9 83.3  116.7 133.2 166.6 200.0 249.9 283.3 316.7 366.6 400.0 433.5 483.3 516.8 550.2 633.5 666.9 700.3 750.2 783.6
 817.0 866.9 900.3 933.8  950.2  983.6  1017.1 1050.5 1066.9 1133.8 1200.6
 1200.6
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class:
  1:  16.4469   .. 83.2961 cents       66.84918 cents                     16.44687 cents
  2:  49.8715   .. 133.6984 cents      83.82689 cents                    -33.42459 cents
  3:  83.2961   .. 183.5698 cents      100.27377 cents                   -50.40231 cents
  4:  116.7206  .. 216.9944 cents      100.27376 cents                   -66.84918 cents
  5:  133.1675  .. 250.4190 cents      117.25148 cents                   -83.82689 cents
  6:  166.5921  .. 266.8659 cents      100.27377 cents                   -83.82689 cents
  7:  200.0167  .. 316.7373 cents      116.72064 cents                   -66.84918 cents
  8:  249.8882  .. 350.1619 cents      100.27377 cents                   -66.84918 cents
  9:  283.3128  .. 383.5865 cents      100.27377 cents                   -66.84918 cents
 10:  316.7373  .. 433.4580 cents      116.72064 cents                   -66.84918 cents
 11:  366.6088  .. 466.8826 cents      100.27377 cents                   -66.84918 cents
 12:  400.0334  .. 500.3072 cents      100.27377 cents                   -66.84918 cents
 13:  433.4580  .. 550.1786 cents      116.72064 cents                   -66.84918 cents
 14:  500.3072  .. 583.6032 cents      83.29605 cents                    -49.87146 cents
 15:  533.7317  .. 617.0278 cents      83.29606 cents                    -49.87147 cents
 16:  583.6032  .. 666.8993 cents      83.29606 cents                    -33.42459 cents
 17:  617.0278  .. 700.3239 cents      83.29606 cents                    -49.87147 cents
 18:  650.4524  .. 767.1730 cents      116.72064 cents                   -49.87147 cents
 19:  700.3239  .. 800.5976 cents      100.27377 cents                   -66.84918 cents
 20:  733.7484  .. 834.0222 cents      100.27377 cents                   -66.84918 cents
 21:  767.1730  .. 883.8937 cents      116.72064 cents                   -66.84918 cents
 22:  817.0445  .. 917.3183 cents      100.27376 cents                   -66.84917 cents
 23:  850.4691  .. 950.7428 cents      100.27377 cents                   -66.84918 cents
 24:  883.8937  .. 1000.6143 cents     116.72064 cents                   -66.84918 cents
 25:  933.7651  .. 1034.0389 cents     100.27376 cents                   -66.84918 cents
 26:  950.2120  .. 1067.4635 cents     117.25148 cents                   -83.82689 cents
 27:  983.6366  .. 1083.9104 cents     100.27376 cents                   -83.82689 cents
 28:  1017.0612 .. 1117.3350 cents     100.27377 cents                   -66.84918 cents
 29:  1066.9327 .. 1150.7595 cents     83.82689 cents                    -50.40231 cents
 30:  1117.3350 .. 1184.1841 cents     66.84918 cents                    -33.42459 cents
SHOW DATA
Number of notes                     : 31
-- Interval properties --
Smallest interval                   : 16.44687 cents, class 1
Average step (divided formal octave): 38.7300 cents
Largest one step interval           : 83.29605 cents
Average / Smallest step             : 2.354857
Largest / Average step              : 2.150684
Largest / Smallest step             : 5.064552
Median interval of one step         : 33.42459 cents, amount: 19
Most common interval of one step    : 33.42459 cents, amount: 19
Least squares average step          : 37.63369 cents, oct.:  1166.64434 cents
Scale is not proper
Scale is a mode of a 2191-tone equal temperament with octave  1200.631 cents
  degrees: 61 122 152 213 274 365 426 487 578 639 700 791 852 913 1065 1126 1187 1278 1339 1400 1491 1552 1613 1643 1704 1765 1826 1856 1978 2100 2191
Least number of segments generator  : 1096 of 600.589 cents and inv.
  number of contiguous generator circle segments: 1
Shortest superset generator         : 1978 of 1083.911 cents and inv.
  generated superset size: 41 = 10 more = 132.258%
Number of contiguous 1-step segments: 0
Step pattern alph. order: AABAACAACAACAADAACAACAABAAABEEC
Step pattern size order : BBABBCBBCBBCBBEBBCBBCBBABBBADDC
Scale is not a Constant Structure
Scale diversity                     : 1.238497
Lumma stability                     : 0.027397
Lumma impropriety factor            : 0.916925
Number of different interval sizes  : 76 = 2.53333 / class
Number of one step interval sizes   : 5
Highest interval variety            : 8
Mean interval variety               : 6.33333 = 19/3
Median interval variety             : 5
Lowest interval variety             : 5
Smallest interval difference        : 0.53084 cents
Most common intervals               : 116.72064 cents & inv., amount: 26
Most common triad is 0.0 116.721 1083.910 cents, amount: 21
Number of recognisable fifths       : 26, average 700.9768 cents
Number of appreciable fifths        : 25, average 700.3239 cents
Number of recognisable fourths      : 26, average 499.6542 cents
Number of appreciable fourths       : 25, average 500.3072 cents
Formal octave complements present   : 23 = 74.1935%
2/1 octave complements present      : 0 = 0.0000%
-- Rational properties --
FIT/MODE
 31:  1 1 0 1 1 1 1 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 0 1 1 1 0 2 2 1   N        SD: 5.6204 c. M:-11.1414 c. 
 41:  1 1 1 1 1 2 1 1 2 1 1 2 1 1 3 1 1 2 1 1 2 1 1 1 1 1 1 1 2 2 2   N        SD: 4.3867 c. M: 8.6959 c. 
 48:  1 2 0 2 1 2 1 2 2 1 1 2 2 1 3 2 1 2 1 2 2 1 1 1 1 2 1 1 2 3 2   N        SD: 6.6945 c. M:-8.4778 c. 
 52:  1 2 1 1 2 2 1 2 2 1 2 2 1 2 3 2 1 2 2 1 2 2 1 1 1 2 1 1 3 3 2   N        SD: 6.4295 c. M:-11.4782 c. 
 53:  2 1 1 1 2 2 1 2 2 2 1 2 2 1 4 1 2 2 1 2 2 2 1 1 1 2 1 1 3 3 2   N        SD: 5.8790 c. M:-12.2927 c. 
 59:  2 1 1 2 1 3 1 2 3 1 2 2 2 2 4 1 2 2 2 2 2 2 1 1 2 2 1 1 3 4 2   N        SD: 5.8259 c. M: 9.5948 c. 
 62:  2 1 1 2 2 2 2 2 2 2 2 2 2 2 4 2 2 2 2 2 2 2 2 0 2 2 2 1 3 3 3   N        SD: 5.3018 c. M: 9.5498 c. 
 64:  2 2 0 2 2 3 1 2 3 2 1 3 2 2 4 2 2 2 2 2 3 1 2 1 2 2 1 1 4 3 3   N        SD: 5.2907 c. M: 8.3893 c. 
 68:  2 2 1 2 2 2 2 2 3 2 2 3 1 2 5 2 2 3 2 1 3 2 2 1 2 2 2 1 3 4 3   N        SD: 4.9980 c. M:-8.7618 c. 
 71:  2 2 1 2 2 3 2 2 3 2 2 3 2 2 5 1 2 3 2 2 3 2 2 1 2 2 2 1 4 4 3   N        SD: 4.7859 c. M: 8.2571 c. 
 72:  2 2 1 2 2 3 2 2 3 2 2 3 2 2 5 2 2 3 2 2 3 2 2 1 2 2 2 1 4 4 3   N        SD: 0.0781 c. M: 0.1548 c. 
 1183: 33 33 16 33 33 49 33 33 49 33 33 49 33 33 82 33 33 49 33 33 49 33 33 16 33 33 33 16 66 66 49   N        SD: 0.0712 c. M:-0.1412 c. 
 1255: 35 35 17 35 35 52 35 35 52 35 35 52 35 35 87 35 35 52 35 35 52 35 35 17 35 35 35 17 70 70 52   N        SD: 0.0627 c. M:-0.1242 c. 
 1327: 37 37 18 37 37 55 37 37 55 37 37 55 37 37 92 37 37 55 37 37 55 37 37 18 37 37 37 18 74 74 55   N        SD: 0.0550 c. M:-0.1091 c. 
 1399: 39 39 19 39 39 58 39 39 58 39 39 58 39 39 97 39 39 58 39 39 58 39 39 19 39 39 39 19 78 78 58   N        SD: 0.0482 c. M:-0.0955 c. 
 1471: 41 41 20 41 41 61 41 41 61 41 41 61 41 41 102 41 41 61 41 41 61 41 41 20 41 41 41 20 82 82 61   N        SD: 0.0420 c. M:-0.0832 c. 
 1543: 43 43 21 43 43 64 43 43 64 43 43 64 43 43 107 43 43 64 43 43 64 43 43 21 43 43 43 21 86 86 64   N        SD: 0.0364 c. M:-0.0721 c. 
 1615: 45 45 22 45 45 67 45 45 67 45 45 67 45 45 112 45 45 67 45 45 67 45 45 22 45 45 45 22 90 90 67   N        SD: 0.0313 c. M:-0.0620 c. 
 1687: 47 47 23 47 47 70 47 47 70 47 47 70 47 47 117 47 47 70 47 47 70 47 47 23 47 47 47 23 94 94 70   N        SD: 0.0266 c. M:-0.0527 c. 
 1759: 49 49 24 49 49 73 49 49 73 49 49 73 49 49 122 49 49 73 49 49 73 49 49 24 49 49 49 24 98 98 73   N        SD: 0.0223 c. M:-0.0442 c. 
 1831: 51 51 25 51 51 76 51 51 76 51 51 76 51 51 127 51 51 76 51 51 76 51 51 25 51 51 51 25 102 102 76   N        SD: 0.0184 c. M:-0.0364 c. 
 1903: 53 53 26 53 53 79 53 53 79 53 53 79 53 53 132 53 53 79 53 53 79 53 53 26 53 53 53 26 106 106 79   N        SD: 0.0147 c. M:-0.0292 c. 
 1975: 55 55 27 55 55 82 55 55 82 55 55 82 55 55 137 55 55 82 55 55 82 55 55 27 55 55 55 27 110 110 82   N        SD: 0.0113 c. M:-0.0225 c. 
 2047: 57 57 28 57 57 85 57 57 85 57 57 85 57 57 142 57 57 85 57 57 85 57 57 28 57 57 57 28 114 114 85   N        SD: 0.0082 c. M:-0.0162 c. 
 2119: 59 59 29 59 59 88 59 59 88 59 59 88 59 59 147 59 59 88 59 59 88 59 59 29 59 59 59 29 118 118 88   N        SD: 0.0053 c. M:-0.0104 c. 
 2191: 61 61 30 61 61 91 61 61 91 61 61 91 61 61 152 61 61 91 61 61 91 61 61 30 61 61 61 30 122 122 91   N        SD: 0.0025 c. M:-0.0050 c. 
 2263: 63 63 31 63 63 94 63 63 94 63 63 94 63 63 157 63 63 94 63 63 94 63 63 31 63 63 63 31 126 126 94   N        SD: 0.0000 c. M: 0.0001 c. 
FIT/HARMONIC
 1 .. 2  match: 1  H SD: 0.6310 cents
 2 .. 4  match: 2  H SD: 0.8745 cents
 3 .. 6  match: 3  H SD: 0.7980 cents
 4 .. 8  match: 4  H SD: 0.9074 cents
 5 .. 10  match: 5  H SD: 0.7577 cents
 6 .. 12  match: 6  H SD: 5.4052 cents
 7 .. 14  match: 7  H SD: 2.8303 cents
 8 .. 16  match: 8  H SD: 4.3093 cents
 9 .. 18  match: 9  H SD: 3.2090 cents
 10 .. 20  match: 10  H SD: 3.7037 cents
 11 .. 22  match: 11  H SD: 5.5622 cents
 12 .. 24  match: 12  H SD: 4.1261 cents
 13 .. 26  match: 13  H SD: 3.7139 cents
 14 .. 28  match: 14  H SD: 2.9311 cents
 15 .. 30  match: 15  H SD: 2.5211 cents
 16 .. 32  match: 16  H SD: 2.8558 cents
 17 .. 34  match: 17  H SD: 3.4175 cents
 18 .. 36  match: 17  S SD: 2.1821 cents
 19 .. 38  match: 17    SD: 3.3330 cents
 20 .. 40  match: 19    SD: 2.2712 cents
 21 .. 42  match: 20    SD: 2.5834 cents
 22 .. 44  match: 20    SD: 2.3736 cents
 23 .. 46  match: 21    SD: 2.4305 cents
 24 .. 48  match: 21    SD: 1.9552 cents
 25 .. 50  match: 22    SD: 2.0283 cents
 26 .. 52  match: 24    SD: 2.5625 cents
 27 .. 54  match: 24    SD: 2.4009 cents
 28 .. 56  match: 24    SD: 2.0212 cents
 29 .. 58  match: 25    SD: 2.2368 cents
 30 .. 60  match: 25    SD: 1.8341 cents
 31 .. 62  match: 26    SD: 1.9675 cents
 32 .. 64  match: 28    SD: 1.6798 cents
 33 .. 66  match: 27    SD: 2.0508 cents
 34 .. 68  match: 25    SD: 2.2298 cents
 35 .. 70  match: 29    SD: 1.6043 cents
 36 .. 72  match: 29    SD: 1.5761 cents
 37 .. 74  match: 26    SD: 2.0686 cents
 38 .. 76  match: 26    SD: 1.7046 cents
 39 .. 78  match: 29    SD: 1.7491 cents
 40 .. 80  match: 29    SD: 1.4015 cents
 41 .. 82  match: 30    SD: 1.3933 cents
 42 .. 84  match: 30    SD: 1.3127 cents
 43 .. 86  match: 28    SD: 1.5359 cents
 44 .. 88  match: 30    SD: 1.4252 cents
 45 .. 90  match: 29    SD: 1.3295 cents
 46 .. 92  match: 29    SD: 1.4079 cents
 47 .. 94  match: 30    SD: 1.4209 cents
 48 .. 96  match: 29    SD: 1.1720 cents
 49 .. 98  match: 29    SD: 1.2276 cents
 50 .. 100  match: 30    SD: 1.3028 cents
 52 .. 104  match: 30    SD: 1.3514 cents
 53 .. 106  match: 31    SD: 1.2092 cents
 54 .. 108  match: 31    SD: 1.0742 cents
 55 .. 110  match: 31    SD: 0.9983 cents
 60 .. 120  match: 31    SD: 0.9798 cents
 64 .. 128  match: 30    SD: 1.0097 cents
 65 .. 130  match: 30    SD: 1.0097 cents
 66 .. 132  match: 30    SD: 0.9392 cents
 67 .. 134  match: 30    SD: 1.0678 cents
 68 .. 136  match: 30    SD: 0.8402 cents
 69 .. 138  match: 30    SD: 1.0682 cents
 70 .. 140  match: 30    SD: 0.8624 cents
 74 .. 148  match: 31    SD: 0.8457 cents
 75 .. 150  match: 31    SD: 0.8297 cents
 80 .. 160  match: 31    SD: 0.8107 cents
 81 .. 162  match: 31    SD: 0.8001 cents
 84 .. 168  match: 31    SD: 0.6159 cents
 89 .. 178  match: 30    SD: 0.6964 cents
 90 .. 180  match: 30    SD: 0.6481 cents
 91 .. 182  match: 30    SD: 0.7272 cents
 95 .. 190  match: 31    SD: 0.6673 cents
 96 .. 192  match: 31    SD: 0.6526 cents
 98 .. 196  match: 31    SD: 0.5231 cents
 119 .. 238  match: 31    SD: 0.5183 cents
 120 .. 240  match: 31    SD: 0.4478 cents
 138 .. 276  match: 31    SD: 0.4389 cents
 140 .. 280  match: 31    SD: 0.4290 cents
 144 .. 288  match: 31    SD: 0.3689 cents
 155 .. 310  match: 31    SD: 0.3562 cents
 161 .. 322  match: 31    SD: 0.3423 cents
 179 .. 358  match: 31    SD: 0.3404 cents
 180 .. 360  match: 31    SD: 0.3309 cents
 186 .. 372  match: 31    SD: 0.3139 cents
 197 .. 394  match: 31    SD: 0.2820 cents
 199 .. 398  match: 31    SD: 0.2785 cents
 210 .. 420  match: 31    SD: 0.2448 cents
 229 .. 458  match: 31    SD: 0.2356 cents
 245 .. 490  match: 31    SD: 0.2137 cents
 254 .. 508  match: 31    SD: 0.2125 cents
 263 .. 526  match: 31    SD: 0.2089 cents
 285 .. 570  match: 31    SD: 0.1984 cents
 299 .. 598  match: 31    SD: 0.1641 cents
 353 .. 706  match: 31    SD: 0.1621 cents
 355 .. 710  match: 31    SD: 0.1621 cents
 359 .. 718  match: 31    SD: 0.1590 cents
 362 .. 724  match: 31    SD: 0.1479 cents
 400 .. 800  match: 31    SD: 0.1474 cents
 407 .. 814  match: 31    SD: 0.1334 cents
 432 .. 864  match: 31    SD: 0.1220 cents
 463 .. 926  match: 31    SD: 0.1147 cents
 504 .. 1008  match: 31    SD: 0.0946 cents
 588 .. 1176  match: 31    SD: 0.0817 cents