Scala analysis: met24-ji3_A

JI interpretation of MET-24, 1/1 is A or 22/13 of C-C version

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

SHOW
  0:          1/1               0.000000 unison, perfect prime
  1:         91/88             58.035626
  2:         22/21             80.537035 undecimal minor semitone
  3:         13/12            138.572661 tridecimal 2/3-tone
  4:          9/8             203.910002 major whole tone
  5:          7/6             266.870906 septimal minor third
  6:         13/11            289.209719 tridecimal minor third
  7:         11/9             347.407941 undecimal neutral third
  8:         14/11            417.507964 undecimal diminished fourth or major third
  9:         21/16            470.780907 narrow fourth
 10:          4/3             498.044999 perfect fourth
 11:         11/8             551.317942 undecimal semi-augmented fourth
 12:         88/63            578.582034
 13:         13/9             636.617660 tridecimal diminished fifth
 14:          3/2             701.955001 perfect fifth
 15:        273/176           759.990627
 16:         11/7             782.492036 undecimal augmented fifth
 17:         13/8             840.527662 tridecimal neutral sixth
 18:         22/13            910.790281 tridecimal major sixth
 19:          7/4             968.825906 harmonic seventh
 20:         39/22            991.164720
 21:         11/6            1049.362941 undecimal neutral seventh, 21/4-tone
 22:         21/11           1119.462965 undecimal major seventh
 23:         63/32           1172.735908 octave - septimal comma
 24:          2/1            1200.000000 octave
SHOW/INTERVAL
  0:         64/63             27.2641 septimal comma, Archytas' comma
  1:         91/88             58.0356 
  2:       1936/1911           22.5014 
  3:         91/88             58.0356 
  4:         27/26             65.3373 tridecimal comma
  5:         28/27             62.9609 Archytas' 1/3-tone
  6:         78/77             22.3388 tridecimal minor third comma
  7:        121/117            58.1982 
  8:        126/121            70.1000 
  9:         33/32             53.2729 undecimal comma, al-Farabi's 1/4-tone
 10:         64/63             27.2641 septimal comma, Archytas' comma
 11:         33/32             53.2729 undecimal comma, al-Farabi's 1/4-tone
 12:         64/63             27.2641 septimal comma, Archytas' comma
 13:         91/88             58.0356 
 14:         27/26             65.3373 tridecimal comma
 15:         91/88             58.0356 
 16:       1936/1911           22.5014 
 17:         91/88             58.0356 
 18:        176/169            70.2626 
 19:         91/88             58.0356 
 20:         78/77             22.3388 tridecimal minor third comma
 21:        121/117            58.1982 
 22:        126/121            70.1000 
 23:         33/32             53.2729 undecimal comma, al-Farabi's 1/4-tone
 24:         64/63             27.2641 septimal comma, Archytas' comma
SHOW INTERVALS
Interval class, Number of incidences, Size:
  1:   2 78/77               22.339 cents   tridecimal minor third comma
  1:   2 1936/1911           22.501 cents   
  1:   3 64/63               27.264 cents   septimal comma, Archytas' comma
  1:   3 33/32               53.273 cents   undecimal comma, al-Farabi's 1/4-tone
  1:   6 91/88               58.036 cents   
  1:   2 121/117             58.198 cents   
  1:   1 28/27               62.961 cents   Archytas' 1/3-tone
  1:   2 27/26               65.337 cents   tridecimal comma
  1:   2 126/121             70.100 cents   
  1:   1 176/169             70.263 cents   
  2:   1 507/484             80.374 cents   
  2:  10 22/21               80.537 cents   undecimal minor semitone
  2:   3 104/99              85.300 cents   
  2:   5 189/176             123.373 cents  
  2:   5 14/13               128.298 cents  2/3-tone
  3:   2 1408/1323           107.801 cents  
  3:   1 121/112             133.810 cents  
  3:   5 13/12               138.573 cents  tridecimal 2/3-tone
  3:   1 88/81               143.498 cents  2nd undecimal neutral second
  3:   2 99/91               145.874 cents  
  3:   7 12/11               150.637 cents  undecimal neutral second, 3/4-tone
  3:   1 3872/3549           150.800 cents  
  3:   1 17199/15488         181.409 cents  
  3:   2 231/208             181.571 cents  
  3:   2 49/44               186.334 cents  undecimal minor whole tone
  4:   2 484/441             161.074 cents  two (undecimal minor semitone)
  4:   2 208/189             165.837 cents  
  4:   7 9/8                 203.910 cents  major whole tone
  4:   5 273/242             208.673 cents  
  4:   7 44/39               208.835 cents  
  4:   1 112/99              213.598 cents  
  5:   2 143/126             219.110 cents  
  5:   9 8/7                 231.174 cents  septimal whole tone
  5:   3 819/704             261.946 cents  
  5:   1 121/104             262.108 cents  
  5:   6 7/6                 266.871 cents  septimal minor third
  5:   1 198/169             274.173 cents  
  5:   2 168/143             278.935 cents  
  6:   4 33/28               284.447 cents  undecimal minor third
  6:   8 13/11               289.210 cents  tridecimal minor third
  6:   4 968/819             289.372 cents  
  6:   2 32/27               294.135 cents  Pythagorean minor third
  6:   4 63/52               332.208 cents  
  6:   2 147/121             336.971 cents  
  7:   3 176/147             311.711 cents  
  7:   1 832/693             316.474 cents  
  7:   2 39/32               342.483 cents  39th harmonic, Zalzal wosta of Ibn Sina
  7:   1 1183/968            347.245 cents  
  7:   6 11/9                347.408 cents  undecimal neutral third
  7:   3 27/22               354.547 cents  neutral third, Zalzal wosta of al-Farabi
  7:   5 16/13               359.472 cents  tridecimal neutral third
  7:   3 441/352             390.244 cents  
  8:   1 121/98              364.984 cents  
  8:   5 26/21               369.747 cents  
  8:   2 704/567             374.672 cents  
  8:   2 2457/1936           412.583 cents  
  8:   7 33/26               412.745 cents  tridecimal major third
  8:   7 14/11               417.508 cents  undecimal diminished fourth or major third
  9:   1 143/112             423.020 cents  
  9:   1 169/132             427.782 cents  
  9:   1 242/189             427.945 cents  
  9:   1 104/81              432.708 cents  
  9:   3 9/7                 435.084 cents  septimal major third, BP third
  9:   2 156/121             439.847 cents  
  9:   5 352/273             440.009 cents  
  9:   1 128/99              444.772 cents  
  9:   6 21/16               470.781 cents  narrow fourth
  9:   1 637/484             475.544 cents  
  9:   1 154/117             475.706 cents  
  9:   1 189/143             482.845 cents  
 10:   4 117/88              493.120 cents  tridecimal gentle fourth
 10:   3 121/91              493.282 cents  
 10:  15 4/3                 498.045 cents  perfect fourth
 10:   1 567/416             536.118 cents  
 10:   1 1323/968            540.881 cents  
 11:   1 66/49               515.621 cents  
 11:   2 104/77              520.384 cents  
 11:   2 7744/5733           520.546 cents  
 11:   1 256/189             525.309 cents  
 11:   5 11/8                551.318 cents  undecimal semi-augmented fourth
 11:   5 91/66               556.081 cents  
 11:   1 484/351             556.243 cents  
 11:   4 18/13               563.382 cents  tridecimal augmented fourth
 11:   2 168/121             568.145 cents  
 11:   1 3969/2816           594.154 cents  
 12:   2 39/28               573.657 cents  
 12:   1 169/121             578.419 cents  two (tridecimal minor third)
 12:   9 88/63               578.582 cents  
 12:   9 63/44               621.418 cents  
 12:   1 242/169             621.581 cents  
 12:   2 56/39               626.343 cents  
 13:   1 5632/3969           605.846 cents  
 13:   2 121/84              631.855 cents  
 13:   4 13/9                636.618 cents  tridecimal diminished fifth
 13:   1 351/242             643.757 cents  
 13:   5 132/91              643.919 cents  
 13:   5 16/11               648.682 cents  undecimal semi-diminished fifth
 13:   1 189/128             674.691 cents  
 13:   2 5733/3872           679.454 cents  
 13:   2 77/52               679.616 cents  
 13:   1 49/33               684.379 cents  
 14:   1 1936/1323           659.119 cents  
 14:   1 832/567             663.882 cents  
 14:  15 3/2                 701.955 cents  perfect fifth
 14:   3 182/121             706.718 cents  
 14:   4 176/117             706.880 cents  
 15:   1 286/189             717.155 cents  
 15:   1 117/77              724.294 cents  
 15:   1 968/637             724.456 cents  
 15:   6 32/21               729.219 cents  wide fifth
 15:   1 99/64               755.228 cents  
 15:   5 273/176             759.991 cents  
 15:   2 121/78              760.153 cents  
 15:   3 14/9                764.916 cents  septimal minor sixth
 15:   1 81/52               767.292 cents  
 15:   1 189/121             772.055 cents  
 15:   1 264/169             772.218 cents  
 15:   1 224/143             776.980 cents  
 16:   7 11/7                782.492 cents  undecimal augmented fifth
 16:   7 52/33               787.255 cents  tridecimal minor sixth
 16:   2 3872/2457           787.417 cents  
 16:   2 567/352             825.328 cents  
 16:   5 21/13               830.253 cents  
 16:   1 196/121             835.016 cents  two (undecimal diminished fourth or major third)
 17:   3 704/441             809.756 cents  
 17:   5 13/8                840.528 cents  tridecimal neutral sixth
 17:   3 44/27               845.453 cents  neutral sixth
 17:   6 18/11               852.592 cents  undecimal neutral sixth
 17:   1 1936/1183           852.755 cents  
 17:   2 64/39               857.517 cents  39th subharmonic
 17:   1 693/416             883.526 cents  
 17:   3 147/88              888.289 cents  
 18:   2 242/147             863.029 cents  
 18:   4 104/63              867.792 cents  
 18:   2 27/16               905.865 cents  Pythagorean major sixth
 18:   4 819/484             910.628 cents  
 18:   8 22/13               910.790 cents  tridecimal major sixth
 18:   4 56/33               915.553 cents  
 19:   2 143/84              921.065 cents  
 19:   1 169/99              925.827 cents  
 19:   6 12/7                933.129 cents  septimal major sixth
 19:   1 208/121             937.892 cents  
 19:   3 1408/819            938.054 cents  
 19:   9 7/4                 968.826 cents  harmonic seventh
 19:   2 252/143             980.890 cents  
 20:   1 99/56               986.402 cents  
 20:   7 39/22               991.165 cents  
 20:   5 484/273             991.327 cents  
 20:   7 16/9                996.090 cents  Pythagorean minor seventh
 20:   2 189/104             1034.163 cents 
 20:   2 441/242             1038.926 cents 
 21:   2 88/49               1013.666 cents undecimal minor seventh
 21:   2 416/231             1018.429 cents 
 21:   1 30976/17199         1018.591 cents 
 21:   1 3549/1936           1049.200 cents 
 21:   7 11/6                1049.363 cents undecimal neutral seventh, 21/4-tone
 21:   2 182/99              1054.126 cents 
 21:   1 81/44               1056.502 cents 2nd undecimal neutral seventh
 21:   5 24/13               1061.427 cents tridecimal neutral seventh
 21:   1 224/121             1066.190 cents 
 21:   2 1323/704            1092.199 cents 
 22:   5 13/7                1071.702 cents 16/3-tone
 22:   5 352/189             1076.627 cents 
 22:   3 99/52               1114.700 cents 
 22:  10 21/11               1119.463 cents undecimal major seventh
 22:   1 968/507             1119.626 cents 
 23:   1 169/88              1129.737 cents 
 23:   2 121/63              1129.900 cents 
 23:   2 52/27               1134.663 cents 
 23:   1 27/14               1137.039 cents septimal major seventh
 23:   2 234/121             1141.802 cents 
 23:   6 176/91              1141.964 cents 
 23:   3 64/33               1146.727 cents 33rd subharmonic
 23:   3 63/32               1172.736 cents octave - septimal comma
 23:   2 1911/968            1177.499 cents 
 23:   2 77/39               1177.661 cents 
Highest number of different intervals for one interval class: 12
Average number of different intervals per interval class: 7.65217 = 176/23
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    
 0.0   : 58.0 80.5  138.6 203.9 266.9 289.2 347.4 417.5 470.8 498.0 551.3 578.6 636.6 702.0 760.0 782.5 840.5 910.8 968.8 991.2 
 1049.4 1119.5 1172.7 1200.0
 58.0  : 22.5 80.5  145.9 208.8 231.2 289.4 359.5 412.7 440.0 493.3 520.5 578.6 643.9 702.0 724.5 782.5 852.8 910.8 933.1 991.3 
 1061.4 1114.7 1142.0 1200.0
 80.5  : 58.0 123.4 186.3 208.7 266.9 337.0 390.2 417.5 470.8 498.0 556.1 621.4 679.5 702.0 760.0 830.3 888.3 910.6 968.8 1038.9
 1092.2 1119.5 1177.5 1200.0
 138.6 : 65.3 128.3 150.6 208.8 278.9 332.2 359.5 412.7 440.0 498.0 563.4 621.4 643.9 702.0 772.2 830.3 852.6 910.8 980.9 1034.2
 1061.4 1119.5 1142.0 1200.0
 203.9 : 63.0 85.3  143.5 213.6 266.9 294.1 347.4 374.7 432.7 498.0 556.1 578.6 636.6 706.9 764.9 787.3 845.5 915.6 968.8 996.1 
 1054.1 1076.6 1134.7 1200.0
 266.9 : 22.3 80.5  150.6 203.9 231.2 284.4 311.7 369.7 435.1 493.1 515.6 573.7 643.9 702.0 724.3 782.5 852.6 905.9 933.1 991.2 
 1013.7 1071.7 1137.0 1200.0
 289.2 : 58.2 128.3 181.6 208.8 262.1 289.4 347.4 412.7 470.8 493.3 551.3 621.6 679.6 702.0 760.2 830.3 883.5 910.8 968.8 991.3 
 1049.4 1114.7 1177.7 1200.0
 347.4 : 70.1 123.4 150.6 203.9 231.2 289.2 354.5 412.6 435.1 493.1 563.4 621.4 643.8 702.0 772.1 825.3 852.6 910.6 933.1 991.2 
 1056.5 1119.5 1141.8 1200.0
 417.5 : 53.3 80.5  133.8 161.1 219.1 284.4 342.5 365.0 423.0 493.3 551.3 573.7 631.9 702.0 755.2 782.5 840.5 863.0 921.1 986.4 
 1049.4 1071.7 1129.9 1200.0
 470.8 : 27.3 80.5  107.8 165.8 231.2 289.2 311.7 369.7 440.0 498.0 520.4 578.6 648.7 702.0 729.2 787.3 809.8 867.8 933.1 996.1 
 1018.4 1076.6 1146.7 1200.0
 498.0 : 53.3 80.5  138.6 203.9 261.9 284.4 342.5 412.7 470.8 493.1 551.3 621.4 674.7 702.0 760.0 782.5 840.5 905.9 968.8 991.2 
 1049.4 1119.5 1172.7 1200.0
 551.3 : 27.3 85.3  150.6 208.7 231.2 289.2 359.5 417.5 439.8 498.0 568.1 621.4 648.7 706.7 729.2 787.3 852.6 915.6 937.9 996.1 
 1066.2 1119.5 1146.7 1200.0
 578.6 : 58.0 123.4 181.4 203.9 261.9 332.2 390.2 412.6 470.8 540.9 594.2 621.4 679.5 702.0 760.0 825.3 888.3 910.6 968.8 1038.9
 1092.2 1119.5 1172.7 1200.0
 636.6 : 65.3 123.4 145.9 203.9 274.2 332.2 354.5 412.7 482.8 536.1 563.4 621.4 643.9 702.0 767.3 830.3 852.6 910.8 980.9 1034.2
 1061.4 1114.7 1142.0 1200.0
 702.0 : 58.0 80.5  138.6 208.8 266.9 289.2 347.4 417.5 470.8 498.0 556.1 578.6 636.6 702.0 764.9 787.3 845.5 915.6 968.8 996.1 
 1049.4 1076.6 1134.7 1200.0
 760.0 : 22.5 80.5  150.8 208.8 231.2 289.4 359.5 412.7 440.0 498.0 520.5 578.6 643.9 706.9 729.2 787.4 857.5 910.8 938.1 991.3 
 1018.6 1076.6 1142.0 1200.0
 782.5 : 58.0 128.3 186.3 208.7 266.9 337.0 390.2 417.5 475.5 498.0 556.1 621.4 684.4 706.7 764.9 835.0 888.3 915.6 968.8 996.1 
 1054.1 1119.5 1177.5 1200.0
 840.5 : 70.3 128.3 150.6 208.8 278.9 332.2 359.5 417.5 440.0 498.0 563.4 626.3 648.7 706.9 777.0 830.3 857.5 910.8 938.1 996.1 
 1061.4 1119.5 1142.0 1200.0
 910.8 : 58.0 80.4  138.6 208.7 261.9 289.2 347.2 369.7 427.8 493.1 556.1 578.4 636.6 706.7 760.0 787.3 840.5 867.8 925.8 991.2 
 1049.2 1071.7 1129.7 1200.0
 968.8 : 22.3 80.5  150.6 203.9 231.2 289.2 311.7 369.7 435.1 498.0 520.4 578.6 648.7 702.0 729.2 782.5 809.8 867.8 933.1 991.2 
 1013.7 1071.7 1142.0 1200.0
 991.2 : 58.2 128.3 181.6 208.8 266.9 289.4 347.4 412.7 475.7 498.0 556.2 626.3 679.6 706.9 760.2 787.4 845.5 910.8 968.8 991.3 
 1049.4 1119.6 1177.7 1200.0
 1049.4: 70.1 123.4 150.6 208.7 231.2 289.2 354.5 417.5 439.8 498.0 568.1 621.4 648.7 702.0 729.2 787.3 852.6 910.6 933.1 991.2 
 1061.4 1119.5 1141.8 1200.0
 1119.5: 53.3 80.5  138.6 161.1 219.1 284.4 347.4 369.7 427.9 498.0 551.3 578.6 631.9 659.1 717.2 782.5 840.5 863.0 921.1 991.3 
 1049.4 1071.7 1129.9 1200.0
 1172.7: 27.3 85.3  107.8 165.8 231.2 294.1 316.5 374.7 444.8 498.0 525.3 578.6 605.8 663.9 729.2 787.3 809.8 867.8 938.1 996.1 
 1018.4 1076.6 1146.7 1200.0
 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class:
  1:  22.3388   .. 70.2626 cents       6776/6591, 47.9238 cents           78/77, 22.3388 cents
  2:  80.3744   .. 128.2982 cents      6776/6591, 47.9238 cents           85683/85184, 10.1118 cents
  3:  107.8011  .. 186.3339 cents      64827/61952, 78.5327 cents         9152/9261,-20.4971 cents
  4:  161.0741  .. 213.5980 cents      1372/1331, 52.5239 cents           21296/21609,-25.2598 cents
  5:  219.1097  .. 278.9353 cents      21168/20449, 59.8256 cents         1573/1568, 5.5117 cents
  6:  284.4470  .. 336.9709 cents      1372/1331, 52.5239 cents           1573/1568, 5.5117 cents
  7:  311.7111  .. 390.2439 cents      64827/61952, 78.5327 cents         21296/21609,-25.2598 cents
  8:  364.9841  .. 417.5080 cents      1372/1331, 52.5239 cents           21296/21609,-25.2598 cents
  9:  423.0197  .. 482.8453 cents      21168/20449, 59.8256 cents         1573/1568, 5.5117 cents
 10:  493.1197  .. 540.8809 cents      147/143, 47.7612 cents             169/168, 10.2744 cents
 11:  515.6211  .. 594.1539 cents      64827/61952, 78.5327 cents         21296/21609,-25.2598 cents
 12:  573.6568  .. 626.3432 cents      1568/1521, 52.6865 cents           9152/9261,-20.4971 cents
 13:  605.8461  .. 684.3789 cents      64827/61952, 78.5327 cents         9152/9261,-20.4971 cents
 14:  659.1191  .. 706.8803 cents      147/143, 47.7612 cents             21296/21609,-25.2598 cents
 15:  717.1547  .. 776.9803 cents      21168/20449, 59.8256 cents         169/168, 10.2744 cents
 16:  782.4920  .. 835.0159 cents      1372/1331, 52.5239 cents           1573/1568, 5.5117 cents
 17:  809.7561  .. 888.2889 cents      64827/61952, 78.5327 cents         21296/21609,-25.2598 cents
 18:  863.0291  .. 915.5530 cents      1372/1331, 52.5239 cents           21296/21609,-25.2598 cents
 19:  921.0647  .. 980.8903 cents      21168/20449, 59.8256 cents         1573/1568, 5.5117 cents
 20:  986.4020  .. 1038.9259 cents     1372/1331, 52.5239 cents           1573/1568, 5.5117 cents
 21:  1013.6661 .. 1092.1989 cents     64827/61952, 78.5327 cents         21296/21609,-25.2598 cents
 22:  1071.7018 .. 1119.6256 cents     6776/6591, 47.9238 cents           9152/9261,-20.4971 cents
 23:  1129.7374 .. 1177.6612 cents     6776/6591, 47.9238 cents           85683/85184, 10.1118 cents
SHOW DATA
Number of notes                     : 24
-- Interval properties --
Smallest interval                   : 78/77, 22.3388 cents, class 1
Average step (divided formal octave): 50.0000 cents
Largest one step interval           : 176/169, 70.2626 cents
Average / Smallest step             : 2.238257
Largest / Average step              : 1.405252
Largest / Smallest step             : 3.145316
Median interval of one step         : 91/88, 58.0356 cents, amount: 6
Most common interval of one step    : 91/88, 58.0356 cents, amount: 6
Least squares average step          : 50.18204 cents, oct.:  1204.36901 cents
Scale is not proper
Step pattern alph. order: ABACDEFGHIHIACABAJAEFGHI
Step pattern size order : EBEHGAFIDCDCEHEBEJEAFIDC
Scale is a Constant Structure, by a margin of 5.51173 cents
Scale diversity                     : 1.417452
Lumma stability                     : 0.098767
Lumma impropriety factor            : 0.236722
Number of different interval sizes  : 176 = 7.65217 / class
Number of one step interval sizes   : 10
Highest interval variety            : 12
Mean interval variety               : 7.65217 = 176/23
Median interval variety             : 5
Lowest interval variety             : 5
Smallest interval difference        : 10648/10647, 0.1626 cents
Most common intervals               : 4/3, 498.0450 cents & inv., amount: 15
Most common triad is 0.0 498.045 701.955 cents, amount: 7
Number of recognisable fifths       : 23, average 704.0936 cents
Number of appreciable fifths        : 22, average 703.5000 cents
Scale contains a complete diamond   : 7 11 21
Length of longest harmonic part     : 2 at degree 3
Formal octave complements present   : 9 = 37.5000%
Limited inverse transpositions with margin 52.5239 cents:
 11
-- Rational properties --
Prime limit                         : 13
Odd number limit                    : 17199 (O: 17199 U: 17199)
Highest odd numerator or denominator: 273
Scale harmonicity                   : 0.008340
Average absolute harmonicity        : 0.099324
Specific harmonicity                : 0.054529
Fundamental                         : 1/288288, -18.1372 octaves, 0.0009 Hz.
Guide tone                          : 72072,  16.1372 octaves, 18855877.742 Hz.
Exponens Consonantiae               : 2.077749E+10, 34.27430 octaves
Euler's gradus suavitatis           : 73
Sum of Mann's harmonic distance     : 664.5, average 27.68750
Mersenne's string divisions         : too high to compute
Sum of van Prooijen's expressibility: 27.92697, average 1.16362
Sum of Tenney's harmonic distance   : 53.93142, average 2.24714
Vogel's harmonic complexity         : 45.91667
Wille's k value                     : 283783
Wilson's harmonic complexity        : 74
Rectangular lattice diameter        : 10
Triangular lattice diameter         : 6
Lattice compactness                 : 997.00618, average 3.32335
Lattice compactness (without 2's)   : 621.35705, average 2.07119
Number of different primes          : 5
Prime exponents' range, average, count, tones@limit:
  2:  -5 .. 3        -1.00000   42    1
  3:  -2 .. 2        -0.08333   20    3
  7:  -1 .. 1         0.20833   11    4
 11:  -1 .. 1         0.04167   13    8
 13:  -1 .. 1         0.25000   8     8
Average exponent except 2's         : 10 / 24 = 0.41667
Average absolute exponent except 2's: 52 / 24 = 2.16667
Scale is weakly epimorphic with val: <24 38 65 81 87|
Scale is JI-epimorphic with val: <24 38 67 83 89| = patent
Scale is weakly epimorphic with val: <24 38 69 85 91|
FIT/MODE
 24:  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: 13.4222 c. M: 22.7359 c. 
 26:  1 1 1 1 2 0 1 2 1 1 1 0 2 1 1 1 1 2 1 0 2 1 1 1   N        SD: 13.4170 c. M: 24.7359 c. 
 27:  1 1 1 1 2 0 2 1 1 1 1 1 1 2 1 0 2 1 2 0 1 2 1 1   N   D3   SD: 15.5987 c. M: 27.1407 c. 
 29:  1 1 1 2 1 1 1 2 1 1 1 1 1 2 1 1 1 2 1 1 1 2 1 1   P   D3   SD: 11.0722 c. M: 18.5950 c. 
 30:  1 1 1 2 2 0 2 1 2 0 2 0 2 2 1 1 1 2 1 1 1 2 1 1   N        SD: 11.8571 c. M: 18.5820 c. 
 33:  2 0 2 2 1 1 2 2 1 1 1 1 2 1 2 1 1 2 2 0 2 2 1 1   N        SD: 10.5722 c. M:-18.8557 c. 
 34:  2 0 2 2 2 0 2 2 1 1 2 0 2 2 2 0 2 2 1 1 2 2 1 1   N        SD: 9.4370 c. M:-16.4800 c. 
 40:  2 1 2 2 2 1 2 2 2 1 1 1 2 2 2 1 2 2 2 1 2 2 2 1   N        SD: 8.0826 c. M:-12.5921 c. 
 41:  2 1 2 2 2 1 2 2 2 1 2 1 2 2 2 1 2 2 2 1 2 2 2 1   P   D3   SD: 4.9270 c. M:-8.2528 c. 
 46:  2 1 2 3 2 1 2 3 2 1 2 1 2 3 2 1 2 3 2 1 2 3 2 1   N        SD: 4.5665 c. M: 10.5307 c. 
 58:  3 1 3 3 3 1 3 3 3 1 3 1 3 3 3 1 3 3 3 1 3 3 3 1   N   D3   SD: 4.1643 c. M:-7.7482 c. 
 63:  3 1 3 4 3 1 3 4 3 1 3 1 3 4 3 1 3 4 3 1 3 4 3 1   N G      SD: 4.0667 c. M:-8.2165 c. 
 74:  4 1 4 4 3 2 3 5 3 2 3 2 3 4 4 1 4 4 4 1 4 4 3 2   N        SD: 4.4238 c. M: 7.4114 c. 
 76:  4 1 4 4 4 1 4 4 4 2 3 2 3 4 4 2 3 5 3 2 3 5 3 2   N        SD: 4.5692 c. M: 7.2577 c. 
 77:  4 1 4 4 4 2 3 5 3 2 3 2 4 4 4 1 4 4 4 2 3 5 3 2   N        SD: 3.7369 c. M: 6.8942 c. 
 80:  4 1 4 5 4 1 4 5 3 2 4 2 3 5 4 1 4 5 4 1 4 5 3 2   N        SD: 4.0913 c. M: 6.6177 c. 
 86:  4 2 4 5 4 2 4 5 4 2 3 2 5 4 4 2 4 5 4 2 4 5 4 2   N        SD: 3.8764 c. M: 7.1319 c. 
 87:  4 2 4 5 4 2 4 5 4 2 4 2 4 5 4 2 4 5 4 2 4 5 4 2   N        SD: 2.2053 c. M: 4.8019 c. 
 104: 5 2 5 6 5 2 5 6 5 2 5 2 5 6 5 2 5 6 5 2 5 6 5 2   N        SD: 1.8144 c. M:-4.1872 c. 
 120: 6 2 6 6 7 2 6 7 5 3 5 3 6 6 6 2 6 7 6 2 6 7 5 3   N        SD: 1.8961 c. M: 3.9100 c. 
 130: 6 3 6 7 7 2 7 7 6 3 6 3 6 7 6 3 6 8 6 2 7 7 6 3   N        SD: 2.1079 c. M: 3.4724 c. 
 145: 7 3 7 8 7 3 7 9 6 3 7 3 7 8 7 3 7 8 7 3 7 8 7 3   N        SD: 2.1068 c. M:-4.5610 c. 
 149: 7 3 7 8 8 3 7 9 6 4 6 4 7 8 7 3 7 9 7 3 7 9 6 4   N        SD: 2.0852 c. M: 4.9507 c. 
 161: 8 3 8 8 9 3 8 9 7 4 7 4 7 9 8 3 8 9 8 3 8 9 7 4   N        SD: 1.7358 c. M: 3.0773 c. 
 166: 8 3 8 9 9 3 8 10 7 4 7 4 8 9 8 3 8 10 8 3 8 10 7 4   N        SD: 1.0832 c. M: 1.9734 c. 
 207: 10 4 10 11 11 4 10 12 9 5 9 5 10 11 10 4 10 12 10 4 10 12 9 5   N        SD: 0.6999 c. M: 1.7214 c. 
 224: 11 4 11 12 12 4 11 13 10 5 10 5 11 12 11 4 11 13 11 4 11 13 10 5   N        SD: 0.5388 c. M:-0.9862 c. 
 270: 13 5 13 15 14 5 13 16 12 6 12 6 13 15 13 5 13 16 13 5 13 16 12 6   N        SD: 0.4761 c. M: 1.0621 c. 
 311: 15 6 15 17 16 6 15 18 14 7 14 7 15 17 15 6 15 18 15 6 15 18 14 7   N        SD: 0.4062 c. M:-0.7877 c. 
 431: 21 8 21 23 23 8 21 25 19 10 19 10 21 23 21 8 21 25 21 8 21 25 19 10   N        SD: 0.4077 c. M:-0.9693 c. 
 477: 23 9 23 26 25 9 23 28 21 11 21 11 23 26 23 9 23 28 23 9 23 28 21 11   N        SD: 0.2031 c. M: 0.4089 c. 
 701: 34 13 34 38 37 13 34 41 31 16 31 16 34 38 34 13 34 41 34 13 34 41 31 16   N        SD: 0.1126 c. M: 0.2010 c. 
 1012: 49 19 49 55 53 19 49 59 45 23 45 23 49 55 49 19 49 59 49 19 49 59 45 23   N        SD: 0.0934 c. M:-0.1838 c. 
 1282: 62 24 62 70 67 24 62 75 57 29 57 29 62 70 62 24 62 75 62 24 62 75 57 29   N        SD: 0.0741 c. M:-0.1462 c. 
 1489: 72 28 72 81 78 28 72 87 66 34 66 34 72 81 72 28 72 87 72 28 72 87 66 34   N        SD: 0.0748 c. M: 0.1368 c. 
 1506: 73 28 73 82 79 28 73 88 67 34 67 34 73 82 73 28 73 88 73 28 73 88 67 34   N        SD: 0.0831 c. M:-0.1725 c. 
 1713: 83 32 83 93 90 32 83 100 76 39 76 39 83 93 83 32 83 100 83 32 83 100 76 39   N        SD: 0.0700 c. M:-0.1599 c. 
 1759: 85 33 85 96 92 33 85 103 78 40 78 40 85 96 85 33 85 103 85 33 85 103 78 40   N        SD: 0.0750 c. M: 0.1652 c. 
 1983: 96 37 96 108 104 37 96 116 88 45 88 45 96 108 96 37 96 116 96 37 96 116 88 45   N        SD: 0.0402 c. M:-0.0699 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: 8.8105 cents
 4 .. 8  match: 4  H SD: 7.7986 cents
 5 .. 10  match: 5  H SD: 9.2372 cents
 6 .. 12  match: 6  H SD: 4.4053 cents
 7 .. 14  match: 7  H SD: 7.0222 cents
 8 .. 16  match: 8  H SD: 5.5144 cents
 9 .. 18  match: 9  H SD: 4.3729 cents
 10 .. 20  match: 10  H SD: 5.6887 cents
 11 .. 22  match: 11  H SD: 3.4039 cents
 12 .. 24  match: 12  H SD: 4.1547 cents
 13 .. 26  match: 13  H SD: 3.3015 cents
 14 .. 28  match: 14  H SD: 4.6556 cents
 15 .. 30  match: 15  H SD: 5.4187 cents
 16 .. 32  match: 15    SD: 3.5745 cents
 17 .. 34  match: 17  H SD: 4.7131 cents
 18 .. 36  match: 17  S SD: 2.9688 cents
 19 .. 38  match: 18    SD: 3.7312 cents
 20 .. 40  match: 18    SD: 3.9880 cents
 21 .. 42  match: 18    SD: 3.7718 cents
 22 .. 44  match: 20    SD: 2.3819 cents
 23 .. 46  match: 20    SD: 2.5458 cents
 24 .. 48  match: 21    SD: 2.6224 cents
 25 .. 50  match: 20    SD: 2.9732 cents
 26 .. 52  match: 21  S SD: 2.4855 cents
 27 .. 54  match: 21    SD: 2.6262 cents
 28 .. 56  match: 20    SD: 2.9499 cents
 29 .. 58  match: 21    SD: 2.6656 cents
 30 .. 60  match: 20    SD: 2.2534 cents
 31 .. 62  match: 21    SD: 2.4561 cents
 32 .. 64  match: 23    SD: 1.9643 cents
 33 .. 66  match: 23    SD: 2.1362 cents
 34 .. 68  match: 19    SD: 2.2686 cents
 35 .. 70  match: 23    SD: 1.9429 cents
 36 .. 72  match: 23    SD: 1.8441 cents
 37 .. 74  match: 23    SD: 1.9569 cents
 38 .. 76  match: 23    SD: 1.8122 cents
 39 .. 78  match: 22    SD: 1.9816 cents
 40 .. 80  match: 22    SD: 1.4192 cents
 41 .. 82  match: 22    SD: 1.8851 cents
 42 .. 84  match: 23    SD: 1.8107 cents
 44 .. 88  match: 22    SD: 1.7767 cents
 45 .. 90  match: 22    SD: 1.3567 cents
 46 .. 92  match: 22    SD: 1.7177 cents
 47 .. 94  match: 23    SD: 1.6326 cents
 48 .. 96  match: 23    SD: 1.1570 cents
 49 .. 98  match: 23    SD: 1.4323 cents
 50 .. 100  match: 23    SD: 1.5336 cents
 51 .. 102  match: 22    SD: 1.4181 cents
 52 .. 104  match: 22    SD: 1.6245 cents
 53 .. 106  match: 24    SD: 1.5639 cents
 54 .. 108  match: 24    SD: 1.2645 cents
 56 .. 112  match: 24    SD: 1.1711 cents
 57 .. 114  match: 23    SD: 1.4232 cents
 58 .. 116  match: 24    SD: 1.0447 cents
 61 .. 122  match: 24    SD: 1.0362 cents
 63 .. 126  match: 23    SD: 1.0559 cents
 65 .. 130  match: 24    SD: 1.0468 cents
 66 .. 132  match: 24    SD: 0.9954 cents
 72 .. 144  match: 24    SD: 0.9299 cents
 80 .. 160  match: 24    SD: 0.8483 cents
 83 .. 166  match: 24    SD: 0.8222 cents
 84 .. 168  match: 24    SD: 0.7867 cents
 88 .. 176  match: 24    SD: 0.7078 cents
 96 .. 192  match: 24    SD: 0.6081 cents
 120 .. 240  match: 24    SD: 0.4748 cents
 143 .. 286  match: 24    SD: 0.4558 cents
 144 .. 288  match: 24    SD: 0.2825 cents
 216 .. 432  match: 24    SD: 0.2689 cents
 230 .. 460  match: 24    SD: 0.2650 cents
 234 .. 468  match: 24    SD: 0.2573 cents
 252 .. 504  match: 24    SD: 0.2553 cents
 256 .. 512  match: 24    SD: 0.2437 cents
 264 .. 528  match: 24    SD: 0.2143 cents
 288 .. 576  match: 24    SD: 0.1942 cents
 312 .. 624  match: 24    SD: 0.1762 cents
 320 .. 640  match: 24    SD: 0.1741 cents
 352 .. 704  match: 24    SD: 0.1512 cents
 378 .. 756  match: 24    SD: 0.1486 cents
 384 .. 768  match: 24    SD: 0.1351 cents
 432 .. 864  match: 24    SD: 0.1302 cents
 480 .. 960  match: 24    SD: 0.1198 cents
 504 .. 1008  match: 24    SD: 0.1025 cents
 528 .. 1056  match: 24    SD: 0.0900 cents