Scala analysis: xen18-erlich-helmholtz-41
12L 29s MOS for Helmholtz, L=49.28, s=20.99
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 20.990 cents 20.990000 2: 70.270 cents 70.270000 3: 91.260 cents 91.260000 4: 112.250 cents 112.250000 5: 133.240 cents 133.240000 6: 182.520 cents 182.520000 7: 203.510 cents 203.510000 8: 224.500 cents 224.500000 9: 273.780 cents 273.780000 10: 294.770 cents 294.770000 11: 315.760 cents 315.760000 12: 365.040 cents 365.040000 13: 386.030 cents 386.030000 14: 407.020 cents 407.020000 15: 428.010 cents 428.010000 16: 477.290 cents 477.290000 17: 498.280 cents 498.280000 18: 519.270 cents 519.270000 19: 568.550 cents 568.550000 20: 589.540 cents 589.540000 21: 610.530 cents 610.530000 22: 631.520 cents 631.520000 23: 680.800 cents 680.800000 24: 701.790 cents 701.790000 25: 722.780 cents 722.780000 26: 772.060 cents 772.060000 27: 793.050 cents 793.050000 28: 814.040 cents 814.040000 29: 835.030 cents 835.030000 30: 884.310 cents 884.310000 31: 905.300 cents 905.300000 32: 926.290 cents 926.290000 33: 975.570 cents 975.570000 34: 996.560 cents 996.560000 35: 1017.550 cents 1017.550000 36: 1066.830 cents 1066.830000 37: 1087.820 cents 1087.820000 38: 1108.810 cents 1108.810000 39: 1129.800 cents 1129.800000 40: 1179.080 cents 1179.080000 41: 1200.070 cents 1200.070000
SHOW/INTERVAL
0: 20.9900 cents 20.9900 1: 20.9900 cents 20.9900 2: 49.2800 cents 49.2800 3: 20.9900 cents 20.9900 4: 20.9900 cents 20.9900 5: 20.9900 cents 20.9900 6: 49.2800 cents 49.2800 7: 20.9900 cents 20.9900 8: 20.9900 cents 20.9900 9: 49.2800 cents 49.2800 10: 20.9900 cents 20.9900 11: 20.9900 cents 20.9900 12: 49.2800 cents 49.2800 13: 20.9900 cents 20.9900 14: 20.9900 cents 20.9900 15: 20.9900 cents 20.9900 16: 49.2800 cents 49.2800 17: 20.9900 cents 20.9900 18: 20.9900 cents 20.9900 19: 49.2800 cents 49.2800 20: 20.9900 cents 20.9900 21: 20.9900 cents 20.9900 22: 20.9900 cents 20.9900 23: 49.2800 cents 49.2800 24: 20.9900 cents 20.9900 25: 20.9900 cents 20.9900 26: 49.2800 cents 49.2800 27: 20.9900 cents 20.9900 28: 20.9900 cents 20.9900 29: 20.9900 cents 20.9900 30: 49.2800 cents 49.2800 31: 20.9900 cents 20.9900 32: 20.9900 cents 20.9900 33: 49.2800 cents 49.2800 34: 20.9900 cents 20.9900 35: 20.9900 cents 20.9900 36: 49.2800 cents 49.2800 37: 20.9900 cents 20.9900 38: 20.9900 cents 20.9900 39: 20.9900 cents 20.9900 40: 49.2800 cents 49.2800 41: 20.9900 cents 20.9900
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 29 20.99000 cents 1: 12 49.28000 cents 2: 17 41.98000 cents 2: 24 70.27000 cents 3: 5 62.97000 cents 3: 36 91.26000 cents 4: 34 112.25000 cents 4: 7 140.54000 cents 5: 22 133.24000 cents 5: 19 161.53000 cents 6: 10 154.23000 cents 6: 31 182.52000 cents 7: 39 203.51000 cents 7: 2 231.80000 cents 8: 27 224.50000 cents 8: 14 252.79000 cents 9: 15 245.49000 cents 9: 26 273.78000 cents 10: 3 266.48000 cents 10: 38 294.77000 cents 11: 32 315.76000 cents 11: 9 344.05000 cents 12: 20 336.75000 cents 12: 21 365.04000 cents 13: 8 357.74000 cents 13: 33 386.03000 cents 14: 37 407.02000 cents 14: 4 435.31000 cents 15: 25 428.01000 cents 15: 16 456.30000 cents 16: 13 449.00000 cents 16: 28 477.29000 cents 17: 1 469.99000 cents 17: 40 498.28000 cents 18: 30 519.27000 cents 18: 11 547.56000 cents 19: 18 540.26000 cents 19: 23 568.55000 cents 20: 6 561.25000 cents 20: 35 589.54000 cents 21: 35 610.53000 cents 21: 6 638.82000 cents 22: 23 631.52000 cents 22: 18 659.81000 cents 23: 11 652.51000 cents 23: 30 680.80000 cents 24: 40 701.79000 cents 24: 1 730.08000 cents 25: 28 722.78000 cents 25: 13 751.07000 cents 26: 16 743.77000 cents 26: 25 772.06000 cents 27: 4 764.76000 cents 27: 37 793.05000 cents 28: 33 814.04000 cents 28: 8 842.33000 cents 29: 21 835.03000 cents 29: 20 863.32000 cents 30: 9 856.02000 cents 30: 32 884.31000 cents 31: 38 905.30000 cents 31: 3 933.59000 cents 32: 26 926.29000 cents 32: 15 954.58000 cents 33: 14 947.28000 cents 33: 27 975.57000 cents 34: 2 968.27000 cents 34: 39 996.56000 cents 35: 31 1017.55000 cents 35: 10 1045.84000 cents 36: 19 1038.54000 cents 36: 22 1066.83000 cents 37: 7 1059.53000 cents 37: 34 1087.82000 cents 38: 36 1108.81000 cents 38: 5 1137.10000 cents 39: 24 1129.80000 cents 39: 17 1158.09000 cents 40: 12 1150.79000 cents 40: 29 1179.08000 cents Highest number of different intervals for one interval class: 2 Average number of different intervals per interval class: 2.00000 = 2
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 0.0 : 21.0 70.3 91.3 112.3 133.2 182.5 203.5 224.5 273.8 294.8 315.8 365.0 386.0 407.0 428.0 477.3 498.3 519.3 568.5 589.5 610.5 631.5 680.8 701.8 722.8 772.1 793.1 814.0 835.0 884.3 905.3 926.3 975.6 996.6 1017.6 1066.8 1087.8 1108.8 1129.8 1179.1 1200.1 21.0 : 49.3 70.3 91.3 112.2 161.5 182.5 203.5 252.8 273.8 294.8 344.0 365.0 386.0 407.0 456.3 477.3 498.3 547.6 568.5 589.5 610.5 659.8 680.8 701.8 751.1 772.1 793.0 814.0 863.3 884.3 905.3 954.6 975.6 996.6 1045.8 1066.8 1087.8 1108.8 1158.1 1179.1 1200.1 70.3 : 21.0 42.0 63.0 112.3 133.2 154.2 203.5 224.5 245.5 294.8 315.8 336.7 357.7 407.0 428.0 449.0 498.3 519.3 540.3 561.3 610.5 631.5 652.5 701.8 722.8 743.8 764.8 814.0 835.0 856.0 905.3 926.3 947.3 996.6 1017.6 1038.5 1059.5 1108.8 1129.8 1150.8 1200.1 91.3 : 21.0 42.0 91.3 112.3 133.2 182.5 203.5 224.5 273.8 294.8 315.8 336.8 386.0 407.0 428.0 477.3 498.3 519.3 540.3 589.5 610.5 631.5 680.8 701.8 722.8 743.8 793.1 814.0 835.0 884.3 905.3 926.3 975.6 996.6 1017.6 1038.5 1087.8 1108.8 1129.8 1179.1 1200.1 112.3 : 21.0 70.3 91.3 112.2 161.5 182.5 203.5 252.8 273.8 294.8 315.8 365.0 386.0 407.0 456.3 477.3 498.3 519.3 568.5 589.5 610.5 659.8 680.8 701.8 722.8 772.1 793.0 814.0 863.3 884.3 905.3 954.6 975.6 996.6 1017.6 1066.8 1087.8 1108.8 1158.1 1179.1 1200.1 133.2 : 49.3 70.3 91.3 140.5 161.5 182.5 231.8 252.8 273.8 294.8 344.0 365.0 386.0 435.3 456.3 477.3 498.3 547.6 568.5 589.5 638.8 659.8 680.8 701.8 751.1 772.1 793.1 842.3 863.3 884.3 933.6 954.6 975.6 996.6 1045.8 1066.8 1087.8 1137.1 1158.1 1179.1 1200.1 182.5 : 21.0 42.0 91.3 112.2 133.2 182.5 203.5 224.5 245.5 294.8 315.8 336.7 386.0 407.0 428.0 449.0 498.3 519.3 540.3 589.5 610.5 631.5 652.5 701.8 722.8 743.8 793.0 814.0 835.0 884.3 905.3 926.3 947.3 996.6 1017.5 1038.5 1087.8 1108.8 1129.8 1150.8 1200.1 203.5 : 21.0 70.3 91.3 112.2 161.5 182.5 203.5 224.5 273.8 294.8 315.8 365.0 386.0 407.0 428.0 477.3 498.3 519.3 568.5 589.5 610.5 631.5 680.8 701.8 722.8 772.1 793.0 814.0 863.3 884.3 905.3 926.3 975.6 996.6 1017.5 1066.8 1087.8 1108.8 1129.8 1179.1 1200.1 224.5 : 49.3 70.3 91.3 140.5 161.5 182.5 203.5 252.8 273.8 294.8 344.0 365.0 386.0 407.0 456.3 477.3 498.3 547.6 568.6 589.5 610.5 659.8 680.8 701.8 751.1 772.1 793.1 842.3 863.3 884.3 905.3 954.6 975.6 996.6 1045.8 1066.8 1087.8 1108.8 1158.1 1179.1 1200.1 273.8 : 21.0 42.0 91.3 112.2 133.2 154.2 203.5 224.5 245.5 294.8 315.8 336.8 357.7 407.0 428.0 449.0 498.3 519.3 540.3 561.3 610.5 631.5 652.5 701.8 722.8 743.8 793.0 814.0 835.0 856.0 905.3 926.3 947.3 996.6 1017.5 1038.5 1059.5 1108.8 1129.8 1150.8 1200.1 294.8 : 21.0 70.3 91.3 112.3 133.2 182.5 203.5 224.5 273.8 294.8 315.8 336.8 386.0 407.0 428.0 477.3 498.3 519.3 540.3 589.5 610.5 631.5 680.8 701.8 722.8 772.1 793.1 814.0 835.0 884.3 905.3 926.3 975.6 996.6 1017.6 1038.5 1087.8 1108.8 1129.8 1179.1 1200.1 315.8 : 49.3 70.3 91.3 112.3 161.5 182.5 203.5 252.8 273.8 294.8 315.8 365.0 386.0 407.0 456.3 477.3 498.3 519.3 568.6 589.5 610.5 659.8 680.8 701.8 751.1 772.1 793.1 814.0 863.3 884.3 905.3 954.6 975.6 996.6 1017.5 1066.8 1087.8 1108.8 1158.1 1179.1 1200.1 365.0 : 21.0 42.0 63.0 112.2 133.2 154.2 203.5 224.5 245.5 266.5 315.8 336.7 357.7 407.0 428.0 449.0 470.0 519.3 540.3 561.3 610.5 631.5 652.5 701.8 722.8 743.8 764.8 814.0 835.0 856.0 905.3 926.3 947.3 968.3 1017.5 1038.5 1059.5 1108.8 1129.8 1150.8 1200.1 386.0 : 21.0 42.0 91.3 112.3 133.2 182.5 203.5 224.5 245.5 294.8 315.8 336.7 386.0 407.0 428.0 449.0 498.3 519.3 540.3 589.5 610.5 631.5 680.8 701.8 722.8 743.8 793.0 814.0 835.0 884.3 905.3 926.3 947.3 996.6 1017.5 1038.5 1087.8 1108.8 1129.8 1179.1 1200.1 407.0 : 21.0 70.3 91.3 112.3 161.5 182.5 203.5 224.5 273.8 294.8 315.8 365.0 386.0 407.0 428.0 477.3 498.3 519.3 568.6 589.5 610.5 659.8 680.8 701.8 722.8 772.1 793.0 814.0 863.3 884.3 905.3 926.3 975.6 996.6 1017.5 1066.8 1087.8 1108.8 1158.1 1179.1 1200.1 428.0 : 49.3 70.3 91.3 140.5 161.5 182.5 203.5 252.8 273.8 294.8 344.0 365.0 386.0 407.0 456.3 477.3 498.3 547.6 568.5 589.5 638.8 659.8 680.8 701.8 751.1 772.1 793.0 842.3 863.3 884.3 905.3 954.6 975.6 996.6 1045.8 1066.8 1087.8 1137.1 1158.1 1179.1 1200.1 477.3 : 21.0 42.0 91.3 112.3 133.2 154.2 203.5 224.5 245.5 294.8 315.8 336.8 357.7 407.0 428.0 449.0 498.3 519.3 540.3 589.5 610.5 631.5 652.5 701.8 722.8 743.8 793.0 814.0 835.0 856.0 905.3 926.3 947.3 996.6 1017.5 1038.5 1087.8 1108.8 1129.8 1150.8 1200.1 498.3 : 21.0 70.3 91.3 112.3 133.2 182.5 203.5 224.5 273.8 294.8 315.8 336.7 386.0 407.0 428.0 477.3 498.3 519.3 568.5 589.5 610.5 631.5 680.8 701.8 722.8 772.1 793.0 814.0 835.0 884.3 905.3 926.3 975.6 996.6 1017.5 1066.8 1087.8 1108.8 1129.8 1179.1 1200.1 519.3 : 49.3 70.3 91.3 112.3 161.5 182.5 203.5 252.8 273.8 294.8 315.8 365.0 386.0 407.0 456.3 477.3 498.3 547.6 568.6 589.5 610.5 659.8 680.8 701.8 751.1 772.1 793.0 814.0 863.3 884.3 905.3 954.6 975.6 996.6 1045.8 1066.8 1087.8 1108.8 1158.1 1179.1 1200.1 568.5 : 21.0 42.0 63.0 112.3 133.2 154.2 203.5 224.5 245.5 266.5 315.8 336.8 357.7 407.0 428.0 449.0 498.3 519.3 540.3 561.3 610.5 631.5 652.5 701.8 722.8 743.8 764.8 814.0 835.0 856.0 905.3 926.3 947.3 996.6 1017.5 1038.5 1059.5 1108.8 1129.8 1150.8 1200.1 589.5 : 21.0 42.0 91.3 112.3 133.2 182.5 203.5 224.5 245.5 294.8 315.8 336.8 386.0 407.0 428.0 477.3 498.3 519.3 540.3 589.5 610.5 631.5 680.8 701.8 722.8 743.8 793.0 814.0 835.0 884.3 905.3 926.3 975.6 996.6 1017.5 1038.5 1087.8 1108.8 1129.8 1179.1 1200.1 610.5 : 21.0 70.3 91.3 112.2 161.5 182.5 203.5 224.5 273.8 294.8 315.8 365.0 386.0 407.0 456.3 477.3 498.3 519.3 568.5 589.5 610.5 659.8 680.8 701.8 722.8 772.1 793.0 814.0 863.3 884.3 905.3 954.6 975.6 996.6 1017.5 1066.8 1087.8 1108.8 1158.1 1179.1 1200.1 631.5 : 49.3 70.3 91.3 140.5 161.5 182.5 203.5 252.8 273.8 294.8 344.0 365.0 386.0 435.3 456.3 477.3 498.3 547.6 568.5 589.5 638.8 659.8 680.8 701.8 751.1 772.1 793.0 842.3 863.3 884.3 933.6 954.6 975.6 996.6 1045.8 1066.8 1087.8 1137.1 1158.1 1179.1 1200.1 680.8 : 21.0 42.0 91.3 112.3 133.2 154.2 203.5 224.5 245.5 294.8 315.8 336.8 386.0 407.0 428.0 449.0 498.3 519.3 540.3 589.5 610.5 631.5 652.5 701.8 722.8 743.8 793.0 814.0 835.0 884.3 905.3 926.3 947.3 996.6 1017.6 1038.5 1087.8 1108.8 1129.8 1150.8 1200.1 701.8 : 21.0 70.3 91.3 112.3 133.2 182.5 203.5 224.5 273.8 294.8 315.8 365.0 386.0 407.0 428.0 477.3 498.3 519.3 568.5 589.5 610.5 631.5 680.8 701.8 722.8 772.1 793.0 814.0 863.3 884.3 905.3 926.3 975.6 996.6 1017.5 1066.8 1087.8 1108.8 1129.8 1179.1 1200.1 722.8 : 49.3 70.3 91.3 112.3 161.5 182.5 203.5 252.8 273.8 294.8 344.0 365.0 386.0 407.0 456.3 477.3 498.3 547.6 568.5 589.5 610.5 659.8 680.8 701.8 751.1 772.1 793.0 842.3 863.3 884.3 905.3 954.6 975.6 996.6 1045.8 1066.8 1087.8 1108.8 1158.1 1179.1 1200.1 772.1 : 21.0 42.0 63.0 112.3 133.2 154.2 203.5 224.5 245.5 294.8 315.8 336.8 357.7 407.0 428.0 449.0 498.3 519.3 540.3 561.2 610.5 631.5 652.5 701.8 722.8 743.8 793.0 814.0 835.0 856.0 905.3 926.3 947.3 996.6 1017.5 1038.5 1059.5 1108.8 1129.8 1150.8 1200.1 793.1 : 21.0 42.0 91.3 112.3 133.2 182.5 203.5 224.5 273.8 294.8 315.8 336.8 386.0 407.0 428.0 477.3 498.3 519.3 540.3 589.5 610.5 631.5 680.8 701.8 722.8 772.1 793.0 814.0 835.0 884.3 905.3 926.3 975.6 996.6 1017.5 1038.5 1087.8 1108.8 1129.8 1179.1 1200.1 814.0 : 21.0 70.3 91.3 112.2 161.5 182.5 203.5 252.8 273.8 294.8 315.8 365.0 386.0 407.0 456.3 477.3 498.3 519.3 568.5 589.5 610.5 659.8 680.8 701.8 751.1 772.1 793.0 814.0 863.3 884.3 905.3 954.6 975.6 996.6 1017.5 1066.8 1087.8 1108.8 1158.1 1179.1 1200.1 835.0 : 49.3 70.3 91.3 140.5 161.5 182.5 231.8 252.8 273.8 294.8 344.0 365.0 386.0 435.3 456.3 477.3 498.3 547.6 568.5 589.5 638.8 659.8 680.8 730.1 751.1 772.1 793.0 842.3 863.3 884.3 933.6 954.6 975.6 996.6 1045.8 1066.8 1087.8 1137.1 1158.1 1179.1 1200.1 884.3 : 21.0 42.0 91.3 112.2 133.2 182.5 203.5 224.5 245.5 294.8 315.8 336.7 386.0 407.0 428.0 449.0 498.3 519.3 540.3 589.5 610.5 631.5 680.8 701.8 722.8 743.8 793.0 814.0 835.0 884.3 905.3 926.3 947.3 996.6 1017.5 1038.5 1087.8 1108.8 1129.8 1150.8 1200.1 905.3 : 21.0 70.3 91.3 112.3 161.5 182.5 203.5 224.5 273.8 294.8 315.8 365.0 386.0 407.0 428.0 477.3 498.3 519.3 568.5 589.5 610.5 659.8 680.8 701.8 722.8 772.1 793.0 814.0 863.3 884.3 905.3 926.3 975.6 996.6 1017.5 1066.8 1087.8 1108.8 1129.8 1179.1 1200.1 926.3 : 49.3 70.3 91.3 140.5 161.5 182.5 203.5 252.8 273.8 294.8 344.0 365.0 386.0 407.0 456.3 477.3 498.3 547.6 568.5 589.5 638.8 659.8 680.8 701.8 751.1 772.1 793.0 842.3 863.3 884.3 905.3 954.6 975.6 996.6 1045.8 1066.8 1087.8 1108.8 1158.1 1179.1 1200.1 975.6 : 21.0 42.0 91.3 112.3 133.2 154.2 203.5 224.5 245.5 294.8 315.8 336.7 357.7 407.0 428.0 449.0 498.3 519.3 540.3 589.5 610.5 631.5 652.5 701.8 722.8 743.8 793.0 814.0 835.0 856.0 905.3 926.3 947.3 996.6 1017.5 1038.5 1059.5 1108.8 1129.8 1150.8 1200.1 996.6 : 21.0 70.3 91.3 112.3 133.2 182.5 203.5 224.5 273.8 294.8 315.8 336.7 386.0 407.0 428.0 477.3 498.3 519.3 568.5 589.5 610.5 631.5 680.8 701.8 722.8 772.1 793.0 814.0 835.0 884.3 905.3 926.3 975.6 996.6 1017.5 1038.5 1087.8 1108.8 1129.8 1179.1 1200.1 1017.6: 49.3 70.3 91.3 112.3 161.5 182.5 203.5 252.8 273.8 294.8 315.8 365.0 386.0 407.0 456.3 477.3 498.3 547.6 568.5 589.5 610.5 659.8 680.8 701.8 751.1 772.1 793.0 814.0 863.3 884.3 905.3 954.6 975.6 996.6 1017.5 1066.8 1087.8 1108.8 1158.1 1179.1 1200.1 1066.8: 21.0 42.0 63.0 112.2 133.2 154.2 203.5 224.5 245.5 266.5 315.8 336.7 357.7 407.0 428.0 449.0 498.3 519.3 540.3 561.2 610.5 631.5 652.5 701.8 722.8 743.8 764.8 814.0 835.0 856.0 905.3 926.3 947.3 968.3 1017.5 1038.5 1059.5 1108.8 1129.8 1150.8 1200.1 1087.8: 21.0 42.0 91.3 112.2 133.2 182.5 203.5 224.5 245.5 294.8 315.8 336.7 386.0 407.0 428.0 477.3 498.3 519.3 540.3 589.5 610.5 631.5 680.8 701.8 722.8 743.8 793.0 814.0 835.0 884.3 905.3 926.3 947.3 996.6 1017.5 1038.5 1087.8 1108.8 1129.8 1179.1 1200.1 1108.8: 21.0 70.3 91.3 112.2 161.5 182.5 203.5 224.5 273.8 294.8 315.8 365.0 386.0 407.0 456.3 477.3 498.3 519.3 568.5 589.5 610.5 659.8 680.8 701.8 722.8 772.1 793.0 814.0 863.3 884.3 905.3 926.3 975.6 996.6 1017.5 1066.8 1087.8 1108.8 1158.1 1179.1 1200.1 1129.8: 49.3 70.3 91.3 140.5 161.5 182.5 203.5 252.8 273.8 294.8 344.0 365.0 386.0 435.3 456.3 477.3 498.3 547.6 568.5 589.5 638.8 659.8 680.8 701.8 751.1 772.1 793.0 842.3 863.3 884.3 905.3 954.6 975.6 996.6 1045.8 1066.8 1087.8 1137.1 1158.1 1179.1 1200.1 1179.1: 21.0 42.0 91.3 112.2 133.2 154.2 203.5 224.5 245.5 294.8 315.8 336.7 386.0 407.0 428.0 449.0 498.3 519.3 540.3 589.5 610.5 631.5 652.5 701.8 722.8 743.8 793.0 814.0 835.0 856.0 905.3 926.3 947.3 996.6 1017.5 1038.5 1087.8 1108.8 1129.8 1150.8 1200.1 1200.1
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 20.9900 .. 49.2800 cents 28.29000 cents 20.99000 cents 2: 41.9800 .. 70.2700 cents 28.29000 cents -7.30000 cents 3: 62.9700 .. 91.2600 cents 28.29000 cents -7.30000 cents 4: 112.2500 .. 140.5400 cents 28.29000 cents 20.99000 cents 5: 133.2400 .. 161.5300 cents 28.29000 cents -7.30000 cents 6: 154.2300 .. 182.5200 cents 28.29000 cents -7.30000 cents 7: 203.5100 .. 231.8000 cents 28.29000 cents 20.99000 cents 8: 224.5000 .. 252.7900 cents 28.29000 cents -7.30000 cents 9: 245.4900 .. 273.7800 cents 28.29000 cents -7.30000 cents 10: 266.4800 .. 294.7700 cents 28.29000 cents -7.30000 cents 11: 315.7600 .. 344.0500 cents 28.29000 cents 20.99000 cents 12: 336.7500 .. 365.0400 cents 28.29000 cents -7.30000 cents 13: 357.7400 .. 386.0300 cents 28.29000 cents -7.30000 cents 14: 407.0200 .. 435.3100 cents 28.29000 cents 20.99000 cents 15: 428.0100 .. 456.3000 cents 28.29000 cents -7.30000 cents 16: 449.0000 .. 477.2900 cents 28.29000 cents -7.30000 cents 17: 469.9900 .. 498.2800 cents 28.29000 cents -7.30000 cents 18: 519.2700 .. 547.5600 cents 28.29000 cents 20.99000 cents 19: 540.2600 .. 568.5500 cents 28.29000 cents -7.30000 cents 20: 561.2500 .. 589.5400 cents 28.29000 cents -7.30000 cents 21: 610.5300 .. 638.8200 cents 28.29000 cents 20.99000 cents 22: 631.5200 .. 659.8100 cents 28.29000 cents -7.30000 cents 23: 652.5100 .. 680.8000 cents 28.29000 cents -7.30000 cents 24: 701.7900 .. 730.0800 cents 28.29000 cents 20.99000 cents 25: 722.7800 .. 751.0700 cents 28.29000 cents -7.30000 cents 26: 743.7700 .. 772.0600 cents 28.29000 cents -7.30000 cents 27: 764.7600 .. 793.0500 cents 28.29000 cents -7.30000 cents 28: 814.0400 .. 842.3300 cents 28.29000 cents 20.99000 cents 29: 835.0300 .. 863.3200 cents 28.29000 cents -7.30000 cents 30: 856.0200 .. 884.3100 cents 28.29000 cents -7.30000 cents 31: 905.3000 .. 933.5900 cents 28.29000 cents 20.99000 cents 32: 926.2900 .. 954.5800 cents 28.29000 cents -7.30000 cents 33: 947.2800 .. 975.5700 cents 28.29000 cents -7.30000 cents 34: 968.2700 .. 996.5600 cents 28.29000 cents -7.30000 cents 35: 1017.5500 .. 1045.8400 cents 28.29000 cents 20.99000 cents 36: 1038.5400 .. 1066.8300 cents 28.29000 cents -7.30000 cents 37: 1059.5300 .. 1087.8200 cents 28.29000 cents -7.30000 cents 38: 1108.8100 .. 1137.1000 cents 28.29000 cents 20.99000 cents 39: 1129.8000 .. 1158.0900 cents 28.29000 cents -7.30000 cents 40: 1150.7900 .. 1179.0800 cents 28.29000 cents -7.30000 cents
SHOW DATA
Number of notes : 41 -- Interval properties -- Smallest interval : 20.99000 cents, class 1 Average step (divided formal octave): 29.2700 cents Largest one step interval : 49.28000 cents Average / Smallest step : 1.394474 Largest / Average step : 1.683635 Largest / Smallest step : 2.347785 Median interval of one step : 20.99000 cents, amount: 29 Most common interval of one step : 20.99000 cents, amount: 29 Least squares average step : 29.27000 cents, oct.: 1200.07000 cents Scale is not proper Scale has Myhill's property chromas: 28.29000 cents and 7.30000 cents, ratio: 3.875342 generators: 17 of 498.28000 cents and 24 of 701.79000 cents ET pair of linear temperament : 12&53 Scale is distributional even Scale is a mode of a 1315-tone equal temperament with octave 1200.070 cents degrees: 23 77 100 123 146 200 223 246 300 323 346 400 423 446 469 523 546 569 623 646 669 692 746 769 792 846 869 892 915 969 992 1015 1069 1092 1115 1169 1192 1215 1238 1292 1315 generators: 546 and 769 Number of contiguous 1-step segments: 0 Step pattern alph. order: ABAAABAABAABAAABAABAAABAABAAABAABAABAAABA Step pattern size order : SLSSSLSSLSSLSSSLSSLSSSLSSLSSSLSSLSSLSSSLS Scale is a Constant Structure, by a margin of 7.30000 cents Ratio Whole / Half tone : 2.230002 Scale diversity : 1.141164 Lumma stability : 0.227378 Lumma impropriety factor : 0.170323 Rothenberg efficiency : 0.682927 redundancy: 0.317073 Efficiency x scale size : 28.000000 Number of different interval sizes : 80 = 2.00000 / class Number of one step interval sizes : 2 Highest interval variety : 2 Mean interval variety : 2.00000 = 2 Median interval variety : 2 Lowest interval variety : 2 Smallest interval difference : 7.30000 cents Most common intervals : 498.28000 cents & inv., amount: 40 Scale is a chain of 20 triads 0.0 498.280 996.560 cents Most common triad is 0.0 498.280 701.790 cents, amount: 39 Number of recognisable fifths : 40, average 701.7900 cents Number of recognisable fourths : 40, average 498.2800 cents Scale contains two identical disjunct "tetrachords" of 18 notes Formal octave complements present : 41 = 100.0000% 2/1 octave complements present : 0 = 0.0000% Inversional symmetry on degrees : 0 Inversional symmetry on intervals : 20-21 -- Rational properties --
FIT/MODE
41: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 SP B ME I SD: 8.1642 c. M: 13.8000 c. 43: 1 2 0 1 1 2 0 1 2 1 0 2 1 1 0 2 1 1 1 1 1 1 1 1 1 2 0 1 1 2 0 1 2 1 0 2 1 1 0 2 1 N D3 I SD: 8.0486 c. M: 13.4558 c. 45: 1 2 0 1 1 2 1 0 2 1 1 2 0 1 1 2 1 0 2 1 1 1 2 0 1 2 1 1 0 2 1 1 2 0 1 2 1 1 0 2 1 N T3 I SD: 7.6231 c. M: 12.6749 c. 47: 1 2 1 0 1 2 1 1 2 1 0 2 1 1 1 2 1 0 2 1 1 1 2 0 1 2 1 1 1 2 0 1 2 1 1 2 1 0 1 2 1 N D3 I SD: 7.2400 c. M: 12.3881 c. 48: 1 2 1 0 1 2 1 1 2 1 1 2 0 1 1 2 1 1 2 1 0 1 2 1 1 2 1 1 0 2 1 1 2 1 1 2 1 0 1 2 1 N I SD: 6.9444 c. M: 12.2442 c. 49: 1 2 1 1 0 2 1 1 2 1 1 2 1 1 0 2 1 1 2 1 1 1 2 1 1 2 0 1 1 2 1 1 2 1 1 2 0 1 1 2 1 N I SD: 7.1353 c. M: 11.9567 c. 50: 1 2 1 1 1 2 0 1 2 1 1 2 1 1 1 2 1 1 2 1 0 1 2 1 1 2 1 1 1 2 1 1 2 1 0 2 1 1 1 2 1 N D3 I SD: 6.9487 c. M: 11.4988 c. 51: 1 2 1 1 1 2 1 1 2 1 0 3 0 1 1 2 1 1 2 1 1 1 2 1 1 2 1 1 0 3 0 1 2 1 1 2 1 1 1 2 1 N I SD: 6.9533 c. M: 11.4525 c. 52: 1 2 1 1 1 2 1 1 2 1 1 2 1 1 1 2 1 0 3 1 0 1 2 1 1 2 1 1 1 2 1 1 2 1 1 2 1 1 1 2 1 N SD: 6.5940 c. M: 11.5481 c. 53: 1 2 1 1 1 2 1 1 2 1 1 2 1 1 1 2 1 1 2 1 1 1 2 1 1 2 1 1 1 2 1 1 2 1 1 2 1 1 1 2 1 P M ME I SD: 1.6297 c. M: 2.7547 c. 118: 2 5 2 2 2 5 2 2 5 2 2 5 2 2 2 5 2 2 5 2 2 2 5 2 2 5 2 2 2 5 2 2 5 2 2 5 2 2 2 5 2 N M DE I SD: 0.6407 c. M: 1.0831 c. 171: 3 7 3 3 3 7 3 3 7 3 3 7 3 3 3 7 3 3 7 3 3 3 7 3 3 7 3 3 3 7 3 3 7 3 3 7 3 3 3 7 3 N M DE I SD: 0.0630 c. M: 0.1064 c. 802: 14 33 14 14 14 33 14 14 33 14 14 33 14 14 14 33 14 14 33 14 14 14 33 14 14 33 14 14 14 33 14 14 33 14 14 33 14 14 14 33 14 N M DE I SD: 0.0406 c. M: 0.0686 c. 973: 17 40 17 17 17 40 17 17 40 17 17 40 17 17 17 40 17 17 40 17 17 17 40 17 17 40 17 17 17 40 17 17 40 17 17 40 17 17 17 40 17 N M DE I SD: 0.0224 c. M: 0.0378 c. 1144: 20 47 20 20 20 47 20 20 47 20 20 47 20 20 20 47 20 20 47 20 20 20 47 20 20 47 20 20 20 47 20 20 47 20 20 47 20 20 20 47 20 N M DE I SD: 0.0096 c. M: 0.0163 c. 1315: 23 54 23 23 23 54 23 23 54 23 23 54 23 23 23 54 23 23 54 23 23 23 54 23 23 54 23 23 23 54 23 23 54 23 23 54 23 23 23 54 23 N M DE I SD: 0.0002 c. M: 0.0003 c.
FIT/HARMONIC
1 .. 2 match: 1 H SD: 0.0700 cents 2 .. 4 match: 2 H SD: 0.0896 cents 3 .. 6 match: 3 H SD: 0.0833 cents 4 .. 8 match: 4 H SD: 1.6881 cents 5 .. 10 match: 5 H SD: 1.4076 cents 6 .. 12 match: 6 H SD: 3.1310 cents 7 .. 14 match: 7 H SD: 2.5648 cents 8 .. 16 match: 8 H SD: 2.4146 cents 9 .. 18 match: 9 H SD: 2.3531 cents 10 .. 20 match: 10 H SD: 3.0872 cents 11 .. 22 match: 11 H SD: 4.5509 cents 12 .. 24 match: 12 H SD: 1.8672 cents 13 .. 26 match: 13 H SD: 3.4822 cents 14 .. 28 match: 14 H SD: 2.8382 cents 15 .. 30 match: 15 H SD: 2.5441 cents 16 .. 32 match: 16 H SD: 1.8373 cents 17 .. 34 match: 17 H SD: 2.8865 cents 18 .. 36 match: 18 H SD: 2.2133 cents 19 .. 38 match: 18 S SD: 2.6213 cents 20 .. 40 match: 19 S SD: 2.3359 cents 21 .. 42 match: 21 H SD: 2.0512 cents 22 .. 44 match: 22 H SD: 2.6146 cents 23 .. 46 match: 22 SD: 2.1970 cents 24 .. 48 match: 24 H SD: 2.0777 cents 25 .. 50 match: 24 S SD: 1.4494 cents 26 .. 52 match: 23 SD: 1.7768 cents 27 .. 54 match: 27 H SD: 1.9121 cents 28 .. 56 match: 26 SD: 1.8799 cents 29 .. 58 match: 28 S SD: 1.5495 cents 30 .. 60 match: 26 SD: 1.7112 cents 31 .. 62 match: 30 S SD: 1.8051 cents 32 .. 64 match: 30 SD: 1.7918 cents 33 .. 66 match: 28 SD: 2.0161 cents 34 .. 68 match: 30 SD: 1.6069 cents 35 .. 70 match: 30 SD: 1.4358 cents 36 .. 72 match: 32 SD: 1.4702 cents 37 .. 74 match: 28 SD: 1.2582 cents 38 .. 76 match: 33 SD: 1.4371 cents 39 .. 78 match: 32 SD: 1.3622 cents 40 .. 80 match: 34 SD: 1.4264 cents 41 .. 82 match: 32 SD: 1.3237 cents 42 .. 84 match: 34 SD: 1.2486 cents 43 .. 86 match: 32 SD: 1.3998 cents 44 .. 88 match: 34 SD: 1.3371 cents 45 .. 90 match: 36 SD: 1.1475 cents 46 .. 92 match: 35 SD: 1.1312 cents 47 .. 94 match: 36 SD: 1.1680 cents 48 .. 96 match: 38 SD: 0.9648 cents 49 .. 98 match: 36 SD: 1.1613 cents 50 .. 100 match: 36 SD: 0.9011 cents 51 .. 102 match: 35 SD: 1.0956 cents 52 .. 104 match: 37 SD: 0.9501 cents 53 .. 106 match: 37 SD: 1.1408 cents 54 .. 108 match: 38 SD: 0.8463 cents 55 .. 110 match: 39 SD: 1.0489 cents 56 .. 112 match: 39 SD: 0.9991 cents 57 .. 114 match: 40 SD: 0.9383 cents 58 .. 116 match: 40 SD: 1.0507 cents 59 .. 118 match: 40 SD: 0.9698 cents 60 .. 120 match: 40 SD: 0.8145 cents 61 .. 122 match: 39 SD: 0.9492 cents 62 .. 124 match: 38 SD: 0.9338 cents 63 .. 126 match: 40 SD: 0.9020 cents 64 .. 128 match: 40 SD: 0.6829 cents 65 .. 130 match: 40 SD: 0.8370 cents 66 .. 132 match: 40 SD: 0.8586 cents 67 .. 134 match: 40 SD: 0.9699 cents 68 .. 136 match: 39 SD: 0.8825 cents 69 .. 138 match: 41 SD: 0.7997 cents 71 .. 142 match: 41 SD: 0.6746 cents 72 .. 144 match: 41 SD: 0.6427 cents 75 .. 150 match: 41 SD: 0.6245 cents 86 .. 172 match: 41 SD: 0.6150 cents 87 .. 174 match: 41 SD: 0.5890 cents 88 .. 176 match: 41 SD: 0.5881 cents 89 .. 178 match: 41 SD: 0.5365 cents 100 .. 200 match: 41 SD: 0.5215 cents 110 .. 220 match: 41 SD: 0.5068 cents 114 .. 228 match: 41 SD: 0.4472 cents 123 .. 246 match: 41 SD: 0.4416 cents 128 .. 256 match: 41 SD: 0.3952 cents 135 .. 270 match: 41 SD: 0.3597 cents 144 .. 288 match: 41 SD: 0.3520 cents 145 .. 290 match: 41 SD: 0.3494 cents 150 .. 300 match: 41 SD: 0.3145 cents 160 .. 320 match: 41 SD: 0.3078 cents 168 .. 336 match: 41 SD: 0.2876 cents 188 .. 376 match: 41 SD: 0.2865 cents 189 .. 378 match: 41 SD: 0.2545 cents 210 .. 420 match: 41 SD: 0.2482 cents 215 .. 430 match: 41 SD: 0.2429 cents 216 .. 432 match: 41 SD: 0.2370 cents 222 .. 444 match: 41 SD: 0.2244 cents 224 .. 448 match: 41 SD: 0.2158 cents 239 .. 478 match: 41 SD: 0.1851 cents 264 .. 528 match: 41 SD: 0.1815 cents 296 .. 592 match: 41 SD: 0.1781 cents 297 .. 594 match: 41 SD: 0.1720 cents 303 .. 606 match: 41 SD: 0.1638 cents 311 .. 622 match: 41 SD: 0.1582 cents 315 .. 630 match: 41 SD: 0.1581 cents 324 .. 648 match: 41 SD: 0.1550 cents 332 .. 664 match: 41 SD: 0.1461 cents 340 .. 680 match: 41 SD: 0.1397 cents 384 .. 768 match: 41 SD: 0.1180 cents 404 .. 808 match: 41 SD: 0.1156 cents 425 .. 850 match: 41 SD: 0.1153 cents 432 .. 864 match: 41 SD: 0.1127 cents 460 .. 920 match: 41 SD: 0.1117 cents 461 .. 922 match: 41 SD: 0.1027 cents 478 .. 956 match: 41 SD: 0.1023 cents 486 .. 972 match: 41 SD: 0.0966 cents 506 .. 1012 match: 41 SD: 0.0955 cents 513 .. 1026 match: 41 SD: 0.0906 cents 550 .. 1100 match: 41 SD: 0.0879 cents 554 .. 1108 match: 41 SD: 0.0851 cents 555 .. 1110 match: 41 SD: 0.0839 cents 577 .. 1154 match: 41 SD: 0.0835 cents 584 .. 1168 match: 41 SD: 0.0794 cents