Scala analysis: met24-ji1
Possible JI interpretation of MET-24
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 91/88 58.035626 2: 14/13 128.298245 2/3-tone 3: 10/9 182.403712 minor whole 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: 63/44 621.417966 13: 189/128 674.690909 14: 3/2 701.955001 perfect fifth 15: 14/9 764.915905 septimal minor sixth 16: 21/13 830.253246 17: 5/3 884.358713 major sixth, BP 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: 176/169 70.2626 3: 65/63 54.1055 4: 81/80 21.5063 syntonic comma, Didymus 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: 126/121 70.1000 13: 33/32 53.2729 undecimal comma, al-Farabi's 1/4-tone 14: 64/63 27.2641 septimal comma, Archytas' comma 15: 28/27 62.9609 Archytas' 1/3-tone 16: 27/26 65.3373 tridecimal comma 17: 65/63 54.1055 18: 66/65 26.4316 Winmeanma 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: 1 81/80 21.506 cents syntonic comma, Didymus comma 1: 2 78/77 22.339 cents tridecimal minor third comma 1: 1 66/65 26.432 cents Winmeanma 1: 3 64/63 27.264 cents septimal comma, Archytas' comma 1: 4 33/32 53.273 cents undecimal comma, al-Farabi's 1/4-tone 1: 2 65/63 54.105 cents 1: 2 91/88 58.036 cents 1: 2 121/117 58.198 cents 1: 2 28/27 62.961 cents Archytas' 1/3-tone 1: 1 27/26 65.337 cents tridecimal comma 1: 3 126/121 70.100 cents 1: 1 176/169 70.263 cents 2: 1 117/112 75.612 cents 2: 1 507/484 80.374 cents 2: 7 22/21 80.537 cents undecimal minor semitone 2: 2 21/20 84.467 cents minor semitone 2: 2 104/99 85.300 cents 2: 1 256/243 90.225 cents limma, Pythagorean minor second 2: 1 15/14 119.443 cents major diatonic semitone 2: 4 189/176 123.373 cents 2: 1 880/819 124.368 cents 2: 4 14/13 128.298 cents 2/3-tone 3: 2 117/110 106.806 cents 3: 1 121/112 133.810 cents 3: 4 13/12 138.573 cents tridecimal 2/3-tone 3: 2 88/81 143.498 cents 2nd undecimal neutral second 3: 2 99/91 145.874 cents 3: 6 12/11 150.637 cents undecimal neutral second, 3/4-tone 3: 2 128/117 155.562 cents 3: 1 567/512 176.646 cents 3: 2 231/208 181.571 cents 3: 2 10/9 182.404 cents minor whole tone 4: 2 169/154 160.911 cents 4: 2 11/10 165.004 cents Ptolemy's second, 4/5-tone 4: 8 9/8 203.910 cents major whole tone 4: 2 273/242 208.673 cents 4: 6 44/39 208.835 cents 4: 2 640/567 209.668 cents 4: 2 112/99 213.598 cents 5: 2 143/126 219.110 cents 5: 1 351/308 226.249 cents 5: 5 8/7 231.174 cents septimal whole tone 5: 2 63/55 235.104 cents 5: 1 2816/2457 236.099 cents 5: 1 297/256 257.183 cents 5: 1 819/704 261.946 cents 5: 1 121/104 262.108 cents 5: 2 220/189 262.941 cents 5: 5 7/6 266.871 cents septimal minor third 5: 1 567/484 274.010 cents 5: 2 168/143 278.935 cents 6: 4 33/28 284.447 cents undecimal minor third 6: 2 189/160 288.377 cents 6: 6 13/11 289.210 cents tridecimal minor third 6: 2 968/819 289.372 cents 6: 4 32/27 294.135 cents Pythagorean minor third 6: 1 1701/1408 327.283 cents 6: 2 63/52 332.208 cents 6: 2 40/33 333.041 cents 6: 1 616/507 337.134 cents 7: 2 6/5 315.641 cents minor third 7: 2 832/693 316.474 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: 4 27/22 354.547 cents neutral third, Zalzal wosta of al-Farabi 7: 4 16/13 359.472 cents tridecimal neutral third 7: 1 2079/1664 385.481 cents 7: 1 5/4 386.314 cents major third 7: 1 440/351 391.239 cents 8: 1 99/80 368.914 cents 8: 4 26/21 369.747 cents 8: 1 273/220 373.677 cents 8: 2 704/567 374.672 cents 8: 2 81/64 407.820 cents Pythagorean major third 8: 5 33/26 412.745 cents tridecimal major third 8: 2 80/63 413.578 cents wide 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: 2 242/189 427.945 cents 9: 3 9/7 435.084 cents septimal major third, BP third 9: 1 567/440 439.014 cents 9: 2 156/121 439.847 cents 9: 2 352/273 440.009 cents 9: 1 84/65 443.940 cents 9: 2 128/99 444.772 cents 9: 1 55/42 466.851 cents 9: 4 21/16 470.781 cents narrow fourth 9: 1 130/99 471.613 cents 9: 2 154/117 475.706 cents 9: 1 189/143 482.845 cents 10: 1 1701/1280 492.287 cents 10: 4 117/88 493.120 cents tridecimal gentle fourth 10: 2 121/91 493.282 cents 10: 15 4/3 498.045 cents perfect fourth 10: 1 15/11 536.951 cents undecimal augmented fourth 10: 1 231/169 541.044 cents 11: 2 27/20 519.551 cents acute fourth 11: 2 104/77 520.384 cents 11: 2 256/189 525.309 cents 11: 1 351/256 546.393 cents 11: 5 11/8 551.318 cents undecimal semi-augmented fourth 11: 1 260/189 552.150 cents 11: 2 91/66 556.081 cents 11: 1 484/351 556.243 cents 11: 1 112/81 561.006 cents 11: 4 18/13 563.382 cents tridecimal augmented fourth 11: 2 168/121 568.145 cents 11: 1 55/39 595.149 cents 12: 3 39/28 573.657 cents 12: 1 169/121 578.419 cents two (tridecimal minor third) 12: 5 88/63 578.582 cents 12: 2 7/5 582.512 cents septimal or Huygens' tritone, BP fourth 12: 1 416/297 583.345 cents 12: 1 297/208 616.655 cents 12: 2 10/7 617.488 cents Euler's tritone 12: 5 63/44 621.418 cents 12: 1 242/169 621.581 cents 12: 3 56/39 626.343 cents 13: 1 78/55 604.851 cents 13: 2 121/84 631.855 cents 13: 4 13/9 636.618 cents tridecimal diminished fifth 13: 1 81/56 638.994 cents 13: 1 351/242 643.757 cents 13: 2 132/91 643.919 cents 13: 1 189/130 647.850 cents 13: 5 16/11 648.682 cents undecimal semi-diminished fifth 13: 1 512/351 653.607 cents 13: 2 189/128 674.691 cents 13: 2 77/52 679.616 cents 13: 2 40/27 680.449 cents grave fifth 14: 1 338/231 658.956 cents 14: 1 22/15 663.049 cents undecimal diminished fifth 14: 15 3/2 701.955 cents perfect fifth 14: 2 182/121 706.718 cents 14: 4 176/117 706.880 cents 14: 1 2560/1701 707.713 cents 15: 1 286/189 717.155 cents 15: 2 117/77 724.294 cents 15: 1 99/65 728.387 cents 15: 4 32/21 729.219 cents wide fifth 15: 1 84/55 733.149 cents 15: 2 99/64 755.228 cents 15: 1 65/42 756.060 cents 15: 2 273/176 759.991 cents 15: 2 121/78 760.153 cents 15: 1 880/567 760.986 cents 15: 3 14/9 764.916 cents septimal minor sixth 15: 2 189/121 772.055 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: 2 63/40 786.422 cents narrow minor sixth 16: 5 52/33 787.255 cents tridecimal minor sixth 16: 2 128/81 792.180 cents Pythagorean minor sixth 16: 2 567/352 825.328 cents 16: 1 440/273 826.323 cents 16: 4 21/13 830.253 cents 16: 1 160/99 831.086 cents 17: 1 351/220 808.761 cents 17: 1 8/5 813.686 cents minor sixth 17: 1 3328/2079 814.519 cents 17: 4 13/8 840.528 cents tridecimal neutral sixth 17: 4 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: 2 693/416 883.526 cents 17: 2 5/3 884.359 cents major sixth, BP sixth 18: 1 507/308 862.866 cents 18: 2 33/20 866.959 cents 18: 2 104/63 867.792 cents 18: 1 2816/1701 872.717 cents 18: 4 27/16 905.865 cents Pythagorean major sixth 18: 2 819/484 910.628 cents 18: 6 22/13 910.790 cents tridecimal major sixth 18: 2 320/189 911.623 cents 18: 4 56/33 915.553 cents 19: 2 143/84 921.065 cents 19: 1 968/567 925.990 cents 19: 5 12/7 933.129 cents septimal major sixth 19: 2 189/110 937.059 cents 19: 1 208/121 937.892 cents 19: 1 1408/819 938.054 cents 19: 1 512/297 942.817 cents 19: 1 2457/1408 963.901 cents 19: 2 110/63 964.896 cents 19: 5 7/4 968.826 cents harmonic seventh 19: 1 616/351 973.751 cents 19: 2 252/143 980.890 cents 20: 2 99/56 986.402 cents 20: 2 567/320 990.332 cents 20: 6 39/22 991.165 cents 20: 2 484/273 991.327 cents 20: 8 16/9 996.090 cents Pythagorean minor seventh 20: 2 20/11 1034.996 cents large minor seventh 20: 2 308/169 1039.089 cents 21: 2 9/5 1017.596 cents just minor seventh, BP seventh 21: 2 416/231 1018.429 cents 21: 1 1024/567 1023.354 cents 21: 2 117/64 1044.438 cents 21: 6 11/6 1049.363 cents undecimal neutral seventh, 21/4-tone 21: 2 182/99 1054.126 cents 21: 2 81/44 1056.502 cents 2nd undecimal neutral seventh 21: 4 24/13 1061.427 cents tridecimal neutral seventh 21: 1 224/121 1066.190 cents 21: 2 220/117 1093.194 cents 22: 4 13/7 1071.702 cents 16/3-tone 22: 1 819/440 1075.632 cents 22: 4 352/189 1076.627 cents 22: 1 28/15 1080.557 cents grave major seventh 22: 1 243/128 1109.775 cents Pythagorean major seventh 22: 2 99/52 1114.700 cents 22: 2 40/21 1115.533 cents acute major seventh 22: 7 21/11 1119.463 cents undecimal major seventh 22: 1 968/507 1119.626 cents 22: 1 224/117 1124.388 cents 23: 1 169/88 1129.737 cents 23: 3 121/63 1129.900 cents 23: 1 52/27 1134.663 cents 23: 2 27/14 1137.039 cents septimal major seventh 23: 2 234/121 1141.802 cents 23: 2 176/91 1141.964 cents 23: 2 126/65 1145.895 cents 23: 4 64/33 1146.727 cents 33rd subharmonic 23: 3 63/32 1172.736 cents octave - septimal comma 23: 1 65/33 1173.568 cents 23: 2 77/39 1177.661 cents 23: 1 160/81 1178.494 cents octave - syntonic comma Highest number of different intervals for one interval class: 14 Average number of different intervals per interval class: 10.00000 = 10
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 : 58.0 128.3 182.4 203.9 266.9 289.2 347.4 417.5 470.8 498.0 551.3 621.4 674.7 702.0 764.9 830.3 884.4 910.8 968.8 991.2 1049.4 1119.5 1172.7 1200.0 58.0 : 70.3 124.4 145.9 208.8 231.2 289.4 359.5 412.7 440.0 493.3 563.4 616.7 643.9 706.9 772.2 826.3 852.8 910.8 933.1 991.3 1061.4 1114.7 1142.0 1200.0 128.3 : 54.1 75.6 138.6 160.9 219.1 289.2 342.5 369.7 423.0 493.1 546.4 573.7 636.6 702.0 756.1 782.5 840.5 862.9 921.1 991.2 1044.4 1071.7 1129.7 1200.0 182.4 : 21.5 84.5 106.8 165.0 235.1 288.4 315.6 368.9 439.0 492.3 519.6 582.5 647.8 702.0 728.4 786.4 808.8 867.0 937.1 990.3 1017.6 1075.6 1145.9 1200.0 203.9 : 63.0 85.3 143.5 213.6 266.9 294.1 347.4 417.5 470.8 498.0 561.0 626.3 680.4 706.9 764.9 787.3 845.5 915.6 968.8 996.1 1054.1 1124.4 1178.5 1200.0 266.9 : 22.3 80.5 150.6 203.9 231.2 284.4 354.5 407.8 435.1 498.0 563.4 617.5 643.9 702.0 724.3 782.5 852.6 905.9 933.1 991.2 1061.4 1115.5 1137.0 1200.0 289.2 : 58.2 128.3 181.6 208.8 262.1 332.2 385.5 412.7 475.7 541.0 595.1 621.6 679.6 702.0 760.2 830.3 883.5 910.8 968.8 1039.1 1093.2 1114.7 1177.7 1200.0 347.4 : 70.1 123.4 150.6 203.9 274.0 327.3 354.5 417.5 482.8 537.0 563.4 621.4 643.8 702.0 772.1 825.3 852.6 910.6 980.9 1035.0 1056.5 1119.5 1141.8 1200.0 417.5 : 53.3 80.5 133.8 203.9 257.2 284.4 347.4 412.7 466.9 493.3 551.3 573.7 631.9 702.0 755.2 782.5 840.5 910.8 964.9 986.4 1049.4 1071.7 1129.9 1200.0 470.8 : 27.3 80.5 150.6 203.9 231.2 294.1 359.5 413.6 440.0 498.0 520.4 578.6 648.7 702.0 729.2 787.3 857.5 911.6 933.1 996.1 1018.4 1076.6 1146.7 1200.0 498.0 : 53.3 123.4 176.6 203.9 266.9 332.2 386.3 412.7 470.8 493.1 551.3 621.4 674.7 702.0 760.0 830.3 884.4 905.9 968.8 991.2 1049.4 1119.5 1172.7 1200.0 551.3 : 70.1 123.4 150.6 213.6 278.9 333.0 359.5 417.5 439.8 498.0 568.1 621.4 648.7 706.7 777.0 831.1 852.6 915.6 937.9 996.1 1066.2 1119.5 1146.7 1200.0 621.4 : 53.3 80.5 143.5 208.8 262.9 289.4 347.4 369.7 427.9 498.0 551.3 578.6 636.6 706.9 761.0 782.5 845.5 867.8 926.0 996.1 1049.4 1076.6 1129.9 1200.0 674.7 : 27.3 90.2 155.6 209.7 236.1 294.1 316.5 374.7 444.8 498.0 525.3 583.3 653.6 707.7 729.2 792.2 814.5 872.7 942.8 996.1 1023.4 1076.6 1146.7 1200.0 702.0 : 63.0 128.3 182.4 208.8 266.9 289.2 347.4 417.5 470.8 498.0 556.1 626.3 680.4 702.0 764.9 787.3 845.5 915.6 968.8 996.1 1049.4 1119.5 1172.7 1200.0 764.9 : 65.3 119.4 145.9 203.9 226.2 284.4 354.5 407.8 435.1 493.1 563.4 617.5 639.0 702.0 724.3 782.5 852.6 905.9 933.1 986.4 1056.5 1109.8 1137.0 1200.0 830.3 : 54.1 80.5 138.6 160.9 219.1 289.2 342.5 369.7 427.8 498.0 552.2 573.7 636.6 659.0 717.2 787.3 840.5 867.8 921.1 991.2 1044.4 1071.7 1134.7 1200.0 884.4 : 26.4 84.5 106.8 165.0 235.1 288.4 315.6 373.7 443.9 498.0 519.6 582.5 604.9 663.0 733.1 786.4 813.7 867.0 937.1 990.3 1017.6 1080.6 1145.9 1200.0 910.8 : 58.0 80.4 138.6 208.7 261.9 289.2 347.2 417.5 471.6 493.1 556.1 578.4 636.6 706.7 760.0 787.3 840.5 910.6 963.9 991.2 1054.1 1119.5 1173.6 1200.0 968.8 : 22.3 80.5 150.6 203.9 231.2 289.2 359.5 413.6 435.1 498.0 520.4 578.6 648.7 702.0 729.2 782.5 852.6 905.9 933.1 996.1 1061.4 1115.5 1142.0 1200.0 991.2 : 58.2 128.3 181.6 208.8 266.9 337.1 391.2 412.7 475.7 498.0 556.2 626.3 679.6 706.9 760.2 830.3 883.5 910.8 973.8 1039.1 1093.2 1119.6 1177.7 1200.0 1049.4: 70.1 123.4 150.6 208.7 278.9 333.0 354.5 417.5 439.8 498.0 568.1 621.4 648.7 702.0 772.1 825.3 852.6 915.6 980.9 1035.0 1061.4 1119.5 1141.8 1200.0 1119.5: 53.3 80.5 138.6 208.8 262.9 284.4 347.4 369.7 427.9 498.0 551.3 578.6 631.9 702.0 755.2 782.5 845.5 910.8 964.9 991.3 1049.4 1071.7 1129.9 1200.0 1172.7: 27.3 85.3 155.6 209.7 231.2 294.1 316.5 374.7 444.8 498.0 525.3 578.6 648.7 702.0 729.2 792.2 857.5 911.6 938.1 996.1 1018.4 1076.6 1146.7 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 21.5063 .. 70.2626 cents 14080/13689, 48.7563 cents 81/80, 21.5063 cents 2: 75.6118 .. 128.2982 cents 1568/1521, 52.6865 cents 19773/19712, 5.3491 cents 3: 106.8060 .. 182.4037 cents 1100/1053, 75.5977 cents 1521/1540,-21.4922 cents 4: 160.9115 .. 213.5980 cents 1568/1521, 52.6865 cents 1521/1540,-21.4922 cents 5: 219.1097 .. 278.9353 cents 21168/20449, 59.8256 cents 1573/1568, 5.5117 cents 6: 284.4470 .. 337.1335 cents 1568/1521, 52.6865 cents 1573/1568, 5.5117 cents 7: 315.6413 .. 391.2390 cents 1100/1053, 75.5977 cents 1521/1540,-21.4922 cents 8: 368.9142 .. 417.5080 cents 1120/1089, 48.5937 cents 3159/3200,-22.3248 cents 9: 423.0197 .. 482.8453 cents 21168/20449, 59.8256 cents 1573/1568, 5.5117 cents 10: 492.2872 .. 541.0435 cents 14080/13689, 48.7563 cents 1287/1280, 9.4419 cents 11: 519.5513 .. 595.1490 cents 1100/1053, 75.5977 cents 1521/1540,-21.4922 cents 12: 573.6568 .. 626.3432 cents 1568/1521, 52.6865 cents 1521/1540,-21.4922 cents 13: 604.8510 .. 680.4487 cents 1100/1053, 75.5977 cents 1521/1540,-21.4922 cents 14: 658.9565 .. 707.7128 cents 14080/13689, 48.7563 cents 1521/1540,-21.4922 cents 15: 717.1547 .. 776.9803 cents 21168/20449, 59.8256 cents 1287/1280, 9.4419 cents 16: 782.4920 .. 831.0858 cents 1120/1089, 48.5937 cents 1573/1568, 5.5117 cents 17: 808.7610 .. 884.3587 cents 1100/1053, 75.5977 cents 3159/3200,-22.3248 cents 18: 862.8665 .. 915.5530 cents 1568/1521, 52.6865 cents 1521/1540,-21.4922 cents 19: 921.0647 .. 980.8903 cents 21168/20449, 59.8256 cents 1573/1568, 5.5117 cents 20: 986.4020 .. 1039.0885 cents 1568/1521, 52.6865 cents 1573/1568, 5.5117 cents 21: 1017.5963 .. 1093.1940 cents 1100/1053, 75.5977 cents 1521/1540,-21.4922 cents 22: 1071.7018 .. 1124.3882 cents 1568/1521, 52.6865 cents 1521/1540,-21.4922 cents 23: 1129.7374 .. 1178.4937 cents 14080/13689, 48.7563 cents 19773/19712, 5.3491 cents
SHOW DATA
Number of notes : 24 -- Interval properties -- Smallest interval : 81/80, 21.5063 cents, class 1 Average step (divided formal octave): 50.0000 cents Largest one step interval : 176/169, 70.2626 cents Average / Smallest step : 2.324901 Largest / Average step : 1.405252 Largest / Smallest step : 3.267073 Median interval of one step : 65/63, 54.1055 cents, amount: 2 Most common interval of one step : 33/32, 53.2729 cents, amount: 4 Least squares average step : 50.75739 cents, oct.: 1218.17726 cents Scale is not proper Step pattern alph. order: ABCDEFGHIJIHIJEKCLAFGHIJ Step pattern size order : GLFAIBHKEDEKEDIJFCGBHKED Scale is a Constant Structure, by a margin of 5.34914 cents Scale diversity : 1.480419 Lumma stability : 0.088054 Lumma impropriety factor : 0.216310 Number of different interval sizes : 230 = 10.00000 / class Number of one step interval sizes : 12 Highest interval variety : 14 Mean interval variety : 10.00000 = 10 Median interval variety : 6 Lowest interval variety : 6 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: 8 Number of recognisable fifths : 23, average 704.1369 cents Number of appreciable fifths : 22, average 703.5452 cents Scale contains a complete diamond : 1 3 Length of longest subharmonic part : 2 at degree 14 Formal octave complements present : 5 = 20.8333% -- Rational properties -- Prime limit : 13 Odd number limit : 2457 (O: 2457 U: 2457) Highest odd numerator or denominator: 189 Scale harmonicity : 0.008355 Average absolute harmonicity : 0.105598 Specific harmonicity : 0.060542 Fundamental : 1/164736, -17.3298 octaves, 0.0016 Hz. Guide tone : 540540, 19.0440 octaves, 141419083.068 Hz. Exponens Consonantiae : 8.904640E+10, 36.37384 octaves Euler's gradus suavitatis : 74 Sum of Mann's harmonic distance : 567.5, average 23.64583 Mersenne's string divisions : too high to compute Sum of van Prooijen's expressibility: 27.10544, average 1.12939 Sum of Tenney's harmonic distance : 52.42984, average 2.18458 Vogel's harmonic complexity : 39.45833 Wille's k value : 121621 Wilson's harmonic complexity : 75 Rectangular lattice diameter : 11 Triangular lattice diameter : 6 Lattice compactness : 1034.46131, average 3.44820 Lattice compactness (without 2's) : 647.76579, average 2.15922 Number of different primes : 6 Prime exponents' range, average, count, tones@limit: 2: -7 .. 2 -1.04167 41 1 3: -2 .. 3 0.16667 24 3 5: 0 .. 1 0.08333 2 2 7: 0 .. 1 0.50000 12 6 11: -1 .. 1 -0.08333 10 6 13: -1 .. 1 0.00000 6 6 Average exponent except 2's : 16 / 24 = 0.66667 Average absolute exponent except 2's: 54 / 24 = 2.25000 Scale is weakly epimorphic with val: <24 38 53 65 81 87| Scale is JI-epimorphic with val: <24 38 55 67 83 89| Scale is weakly epimorphic with val: <24 38 57 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: 18.1634 c. M: 34.3587 c. 25: 1 2 1 0 2 0 1 2 1 0 1 2 1 1 1 1 1 1 1 1 1 1 1 1 N D3 SD: 13.4879 c. M: 23.3179 c. 26: 1 2 1 0 2 0 1 2 1 1 1 1 1 1 1 2 1 1 1 0 2 1 1 1 N D3 SD: 14.5092 c. M: 28.5371 c. 27: 1 2 1 0 2 0 2 1 1 1 1 2 1 1 1 1 2 0 2 0 1 2 1 1 N SD: 15.6913 c. M: 30.2532 c. 28: 1 2 1 1 1 1 1 2 1 1 1 1 2 0 2 1 2 0 2 0 1 2 1 1 N SD: 12.2992 c. M: 21.4180 c. 29: 1 2 1 1 1 1 1 2 1 1 1 2 1 1 1 2 1 1 1 1 1 2 1 1 P D3 SD: 11.4990 c. M: 20.0883 c. 32: 2 1 2 0 2 1 1 2 2 0 2 2 1 1 1 2 2 0 2 0 2 2 1 1 N SD: 11.2241 c. M:-16.9644 c. 33: 2 2 1 1 1 1 2 2 1 1 1 2 2 0 2 2 1 1 2 0 2 2 1 1 N SD: 10.5031 c. M:-18.8557 c. 34: 2 2 1 1 2 0 2 2 1 1 2 2 1 1 2 2 1 1 2 0 2 2 1 1 N SD: 10.0863 c. M:-19.4094 c. 37: 2 2 2 0 2 1 2 2 2 0 2 2 2 1 2 2 1 1 2 1 1 3 1 1 N SD: 9.3319 c. M:-15.7056 c. 39: 2 2 2 1 2 0 2 3 1 1 2 2 2 1 2 2 2 1 1 1 2 2 2 1 N SD: 8.0221 c. M: 14.9798 c. 40: 2 2 2 1 2 1 2 2 2 1 1 3 1 1 2 3 1 1 2 1 2 2 2 1 N SD: 9.1555 c. M: 14.9159 c. 41: 2 2 2 1 2 1 2 2 2 1 2 2 2 1 2 2 2 1 2 1 2 2 2 1 P D3 SD: 5.1331 c. M: 11.2251 c. 45: 2 3 2 1 2 1 2 3 2 1 2 2 2 1 3 2 2 1 2 1 2 3 2 1 N SD: 6.4577 c. M:-9.4233 c. 46: 2 3 2 1 2 1 2 3 2 1 2 3 2 1 2 3 2 1 2 1 2 3 2 1 N SD: 4.0218 c. M: 8.3942 c. 58: 3 3 3 1 3 1 3 3 3 1 3 3 3 1 3 3 3 1 3 1 3 3 3 1 N D3 SD: 3.9658 c. M:-8.0677 c. 72: 3 5 3 1 4 1 4 4 3 2 3 4 3 2 4 4 3 2 3 1 4 4 3 2 N SD: 4.1860 c. M: 8.0356 c. 74: 4 4 3 2 3 2 3 5 3 2 3 4 4 1 4 4 4 1 4 1 4 4 3 2 N SD: 4.5749 c. M:-7.5332 c. 75: 4 4 3 2 4 1 4 4 3 2 3 5 3 2 4 4 3 2 4 1 4 4 3 2 N SD: 4.1748 c. M: 7.3179 c. 76: 4 4 4 1 4 1 4 4 4 2 3 4 4 1 4 5 3 2 3 2 3 5 3 2 N SD: 4.8249 c. M: 7.2577 c. 77: 4 4 4 1 4 2 3 5 3 2 3 5 3 2 4 4 4 1 4 2 3 5 3 2 N SD: 4.0086 c. M: 6.8942 c. 80: 4 5 3 2 4 1 4 5 3 2 4 4 4 2 4 4 4 2 4 1 4 5 3 2 N SD: 3.8823 c. M:-6.7018 c. 83: 4 5 4 1 4 2 4 5 4 1 4 5 4 2 4 4 4 2 4 2 4 4 4 2 N SD: 4.0807 c. M: 6.6299 c. 87: 4 5 4 2 4 2 4 5 4 2 4 5 4 2 4 5 4 2 4 2 4 5 4 2 N SD: 2.6454 c. M: 6.2952 c. 90: 4 6 4 1 5 2 4 5 4 2 4 6 4 2 4 5 4 2 5 1 5 5 4 2 N SD: 4.0033 c. M:-5.3091 c. 91: 4 6 4 1 5 2 4 6 4 2 4 5 4 2 5 5 4 2 4 2 5 5 4 2 N SD: 3.2970 c. M: 6.1885 c. 94: 5 5 4 2 5 2 4 6 4 2 4 6 4 2 5 5 4 2 5 2 4 6 4 2 N SD: 2.8859 c. M:-5.7942 c. 103: 5 6 5 2 5 2 5 6 4 3 4 6 5 2 6 5 5 2 5 2 5 6 5 2 N SD: 2.7847 c. M:-5.7987 c. 104: 5 6 5 2 5 2 5 6 5 2 5 6 5 2 5 6 5 2 5 2 5 6 5 2 N SD: 2.3901 c. M:-6.0783 c. 109: 5 7 5 2 5 2 6 6 5 2 5 6 5 3 5 6 5 3 5 2 5 7 5 2 N SD: 3.4885 c. M: 5.2829 c. 113: 5 7 5 2 6 2 6 6 5 3 5 6 5 3 6 6 5 3 5 2 6 6 5 3 N SD: 3.0364 c. M: 5.6644 c. 119: 6 7 5 2 6 3 5 7 6 2 6 7 5 3 6 6 6 2 6 2 6 7 5 3 N SD: 2.9433 c. M: 4.6860 c. 120: 6 7 5 2 7 2 6 7 5 3 5 7 5 3 6 7 5 3 6 2 6 7 5 3 N SD: 2.4147 c. M: 4.9159 c. 124: 6 7 6 2 7 2 6 7 6 2 6 7 6 3 6 7 5 3 6 2 6 8 5 3 N SD: 2.5902 c. M:-4.4966 c. 125: 6 7 6 2 7 2 6 7 6 3 5 8 5 3 7 6 6 3 6 2 6 8 5 3 N SD: 2.4776 c. M: 4.7080 c. 129: 6 8 6 2 7 2 6 8 6 3 5 8 6 2 7 7 6 3 6 3 6 7 6 3 N SD: 2.6307 c. M:-4.3789 c. 130: 6 8 6 2 7 2 7 7 6 3 6 7 6 3 7 7 6 3 6 2 7 7 6 3 N SD: 2.0144 c. M: 3.4724 c. 137: 7 8 6 2 8 2 7 8 6 3 6 8 6 3 7 8 6 3 7 2 7 8 6 3 N SD: 2.1275 c. M:-4.6619 c. 149: 7 9 7 2 8 3 7 9 6 4 6 9 7 3 8 8 7 3 7 3 7 9 7 3 N SD: 1.8505 c. M: 3.6669 c. 166: 8 10 7 3 9 3 8 10 7 4 7 10 7 4 9 9 7 4 8 3 8 10 7 4 N SD: 1.2626 c. M: 2.4310 c. 183: 9 11 8 3 10 3 9 11 8 4 8 11 8 4 10 10 8 4 9 3 9 11 8 4 N SD: 1.3906 c. M:-2.8493 c. 207: 10 12 9 4 11 4 10 12 9 5 9 12 9 5 11 11 9 5 10 4 10 12 9 5 N SD: 1.1958 c. M: 3.1993 c. 212: 10 13 9 4 11 4 10 13 9 5 9 13 9 5 11 12 9 5 10 4 10 13 9 5 N SD: 1.2598 c. M: 2.2613 c. 224: 11 13 10 4 12 4 11 13 10 5 10 13 10 5 12 12 10 5 11 4 11 13 10 5 N SD: 0.5195 c. M:-1.1555 c. 270: 13 16 12 5 14 5 13 16 12 6 12 16 12 6 14 15 12 6 13 5 13 16 12 6 N SD: 0.4626 c. M:-0.8646 c. 477: 23 28 21 9 25 9 23 28 21 11 21 28 21 11 25 26 21 11 23 9 23 28 21 11 N SD: 0.4303 c. M: 1.3398 c. 494: 24 29 22 9 26 9 24 29 22 11 22 29 22 11 26 27 22 11 24 9 24 29 22 11 N SD: 0.3139 c. M:-0.6127 c. 701: 34 41 32 12 37 13 34 41 31 16 31 41 31 16 37 38 32 15 34 13 34 41 31 16 N SD: 0.2394 c. M:-0.7632 c. 718: 35 42 32 13 38 13 35 42 32 16 32 42 32 16 38 39 32 16 35 13 35 42 32 16 N SD: 0.3400 c. M:-0.5437 c. 742: 36 43 34 13 39 14 36 43 33 17 33 43 33 17 39 40 34 16 36 14 36 43 33 17 N SD: 0.2728 c. M: 0.6036 c. 788: 38 46 36 14 41 15 38 46 35 18 35 46 35 18 41 43 36 17 38 15 38 46 35 18 N SD: 0.2350 c. M: 0.4489 c. 925: 45 54 42 16 49 17 45 54 41 21 41 54 41 21 49 50 42 20 45 17 45 54 41 21 N SD: 0.2315 c. M:-0.5152 c. 954: 46 56 43 17 50 18 46 56 42 22 42 56 42 22 50 52 43 21 46 18 46 56 42 22 N SD: 0.2080 c. M: 0.4771 c. 966: 47 56 44 17 51 18 47 56 43 22 43 56 43 22 51 52 44 21 47 18 47 56 43 22 N SD: 0.2354 c. M: 0.4396 c. 971: 47 57 44 17 51 18 47 57 43 22 43 57 43 22 51 53 44 21 47 18 47 57 43 22 N SD: 0.1858 c. M:-0.5023 c. 1012: 49 59 46 18 53 19 49 59 45 23 45 59 45 23 53 55 46 22 49 19 49 59 45 23 N SD: 0.1121 c. M: 0.2350 c. 1236: 60 72 56 22 65 23 60 72 55 28 55 72 55 28 65 67 56 27 60 23 60 72 55 28 N SD: 0.1102 c. M:-0.2168 c. 1282: 62 75 58 23 67 24 62 75 57 29 57 75 57 29 67 70 58 28 62 24 62 75 57 29 N SD: 0.0986 c. M:-0.1967 c. 1506: 73 88 68 27 79 28 73 88 67 34 67 88 67 34 79 82 68 33 73 28 73 88 67 34 N SD: 0.0854 c. M:-0.2095 c. 1672: 81 98 75 30 88 31 81 98 74 38 74 98 74 38 88 91 75 37 81 31 81 98 74 38 N SD: 0.1010 c. M:-0.1954 c. 1983: 96 116 89 36 104 37 96 116 88 45 88 116 88 45 104 108 89 44 96 37 96 116 88 45 N SD: 0.0806 c. M: 0.2555 c. 2113: 102 124 95 38 111 39 103 123 94 48 94 123 94 48 111 115 95 47 102 39 103 123 94 48 N SD: 0.0931 c. M: 0.1567 c. 2190: 106 128 99 39 115 41 106 128 97 50 97 128 97 50 115 119 99 48 106 41 106 128 97 50 N SD: 0.0748 c. M: 0.1704 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: 7.7986 cents 5 .. 10 match: 5 H SD: 10.2855 cents 6 .. 12 match: 6 H SD: 0.0000 cents 7 .. 14 match: 7 H SD: 6.9615 cents 8 .. 16 match: 8 H SD: 5.6620 cents 9 .. 18 match: 9 H SD: 2.7091 cents 10 .. 20 match: 10 H SD: 5.7896 cents 11 .. 22 match: 11 H SD: 4.7471 cents 12 .. 24 match: 12 H SD: 4.0857 cents 13 .. 26 match: 13 H SD: 3.1658 cents 14 .. 28 match: 14 H SD: 4.6189 cents 15 .. 30 match: 15 H SD: 5.0029 cents 16 .. 32 match: 15 SD: 3.5707 cents 17 .. 34 match: 17 H SD: 4.8930 cents 18 .. 36 match: 17 S SD: 3.0176 cents 19 .. 38 match: 19 H SD: 3.6812 cents 20 .. 40 match: 19 SD: 4.3229 cents 21 .. 42 match: 20 SD: 3.6441 cents 22 .. 44 match: 18 SD: 3.1697 cents 23 .. 46 match: 22 S SD: 2.6147 cents 24 .. 48 match: 21 SD: 2.6917 cents 25 .. 50 match: 20 S SD: 2.9791 cents 26 .. 52 match: 22 S SD: 2.3416 cents 27 .. 54 match: 22 SD: 2.3422 cents 28 .. 56 match: 21 SD: 2.7137 cents 29 .. 58 match: 22 SD: 2.4067 cents 30 .. 60 match: 22 SD: 2.1197 cents 31 .. 62 match: 22 SD: 2.5334 cents 32 .. 64 match: 23 SD: 1.8585 cents 33 .. 66 match: 22 SD: 2.2042 cents 34 .. 68 match: 20 SD: 2.1837 cents 35 .. 70 match: 22 SD: 2.0162 cents 36 .. 72 match: 24 SD: 1.7703 cents 37 .. 74 match: 23 SD: 1.9039 cents 38 .. 76 match: 23 SD: 1.9295 cents 39 .. 78 match: 23 SD: 1.8068 cents 40 .. 80 match: 22 SD: 1.6429 cents 41 .. 82 match: 22 SD: 1.7927 cents 42 .. 84 match: 22 SD: 1.6529 cents 43 .. 86 match: 23 SD: 1.9705 cents 44 .. 88 match: 24 SD: 1.7800 cents 45 .. 90 match: 23 SD: 1.7305 cents 46 .. 92 match: 23 SD: 1.8283 cents 47 .. 94 match: 24 SD: 1.7665 cents 48 .. 96 match: 24 SD: 1.2736 cents 50 .. 100 match: 23 SD: 1.5012 cents 51 .. 102 match: 22 SD: 1.3962 cents 52 .. 104 match: 23 SD: 1.4591 cents 53 .. 106 match: 24 SD: 1.3912 cents 54 .. 108 match: 24 SD: 0.9363 cents 57 .. 114 match: 23 SD: 1.3595 cents 58 .. 116 match: 24 SD: 1.2906 cents 59 .. 118 match: 23 SD: 1.2892 cents 60 .. 120 match: 24 SD: 1.2314 cents 61 .. 122 match: 24 SD: 1.1575 cents 62 .. 124 match: 24 SD: 1.0879 cents 63 .. 126 match: 23 SD: 1.0020 cents 65 .. 130 match: 24 SD: 0.9408 cents 72 .. 144 match: 24 SD: 0.9056 cents 78 .. 156 match: 24 SD: 0.8126 cents 88 .. 176 match: 24 SD: 0.6419 cents 90 .. 180 match: 24 SD: 0.6170 cents 114 .. 228 match: 24 SD: 0.5465 cents 120 .. 240 match: 24 SD: 0.4513 cents 143 .. 286 match: 24 SD: 0.4285 cents 144 .. 288 match: 24 SD: 0.2934 cents 198 .. 396 match: 24 SD: 0.2520 cents 234 .. 468 match: 24 SD: 0.2193 cents 264 .. 528 match: 24 SD: 0.2062 cents 288 .. 576 match: 24 SD: 0.1795 cents 342 .. 684 match: 24 SD: 0.1679 cents 352 .. 704 match: 24 SD: 0.1398 cents 378 .. 756 match: 24 SD: 0.1238 cents 432 .. 864 match: 24 SD: 0.1178 cents 480 .. 960 match: 24 SD: 0.1155 cents 504 .. 1008 match: 24 SD: 0.1133 cents 522 .. 1044 match: 24 SD: 0.1091 cents 528 .. 1056 match: 24 SD: 0.1007 cents 558 .. 1116 match: 24 SD: 0.0996 cents 576 .. 1152 match: 24 SD: 0.0932 cents