Scala analysis: trikleismic57
Trikleismic[57] in 159-et tuning
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 15.094 cents 15.094340 2: 52.830 cents 52.830189 3: 67.925 cents 67.924528 4: 83.019 cents 83.018868 5: 98.113 cents 98.113208 6: 135.849 cents 135.849057 7: 150.943 cents 150.943396 8: 166.038 cents 166.037736 9: 181.132 cents 181.132075 10: 218.868 cents 218.867925 11: 233.962 cents 233.962264 12: 249.057 cents 249.056604 13: 264.151 cents 264.150943 14: 301.887 cents 301.886792 15: 316.981 cents 316.981132 16: 332.075 cents 332.075472 17: 347.170 cents 347.169811 18: 384.906 cents 384.905660 19: 400.000 cents 400.000000 20: 415.094 cents 415.094340 21: 452.830 cents 452.830189 22: 467.925 cents 467.924528 23: 483.019 cents 483.018868 24: 498.113 cents 498.113208 25: 535.849 cents 535.849057 26: 550.943 cents 550.943396 27: 566.038 cents 566.037736 28: 581.132 cents 581.132075 29: 618.868 cents 618.867925 30: 633.962 cents 633.962264 31: 649.057 cents 649.056604 32: 664.151 cents 664.150943 33: 701.887 cents 701.886792 34: 716.981 cents 716.981132 35: 732.075 cents 732.075472 36: 747.170 cents 747.169811 37: 784.906 cents 784.905660 38: 800.000 cents 800.000000 39: 815.094 cents 815.094340 40: 852.830 cents 852.830189 41: 867.925 cents 867.924528 42: 883.019 cents 883.018868 43: 898.113 cents 898.113208 44: 935.849 cents 935.849057 45: 950.943 cents 950.943396 46: 966.038 cents 966.037736 47: 981.132 cents 981.132075 48: 1018.868 cents 1018.867925 49: 1033.962 cents 1033.962264 50: 1049.057 cents 1049.056604 51: 1064.151 cents 1064.150943 52: 1101.887 cents 1101.886792 53: 1116.981 cents 1116.981132 54: 1132.075 cents 1132.075472 55: 1147.170 cents 1147.169811 56: 1184.906 cents 1184.905660 57: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 15.0943 cents 15.0943 1: 15.0943 cents 15.0943 2: 37.7358 cents 37.7358 3: 15.0943 cents 15.0943 4: 15.0943 cents 15.0943 5: 15.0943 cents 15.0943 6: 37.7358 cents 37.7358 7: 15.0943 cents 15.0943 8: 15.0943 cents 15.0943 9: 15.0943 cents 15.0943 10: 37.7359 cents 37.7359 11: 15.0943 cents 15.0943 12: 15.0943 cents 15.0943 13: 15.0943 cents 15.0943 14: 37.7358 cents 37.7358 15: 15.0943 cents 15.0943 16: 15.0943 cents 15.0943 17: 15.0943 cents 15.0943 18: 37.7358 cents 37.7358 19: 15.0943 cents 15.0943 20: 15.0943 cents 15.0943 21: 37.7358 cents 37.7358 22: 15.0943 cents 15.0943 23: 15.0943 cents 15.0943 24: 15.0943 cents 15.0943 25: 37.7358 cents 37.7358 26: 15.0943 cents 15.0943 27: 15.0943 cents 15.0943 28: 15.0943 cents 15.0943 29: 37.7358 cents 37.7358 30: 15.0943 cents 15.0943 31: 15.0943 cents 15.0943 32: 15.0943 cents 15.0943 33: 37.7358 cents 37.7358 34: 15.0943 cents 15.0943 35: 15.0943 cents 15.0943 36: 15.0943 cents 15.0943 37: 37.7358 cents 37.7358 38: 15.0943 cents 15.0943 39: 15.0943 cents 15.0943 40: 37.7358 cents 37.7358 41: 15.0943 cents 15.0943 42: 15.0943 cents 15.0943 43: 15.0943 cents 15.0943 44: 37.7358 cents 37.7358 45: 15.0943 cents 15.0943 46: 15.0943 cents 15.0943 47: 15.0943 cents 15.0943 48: 37.7359 cents 37.7359 49: 15.0943 cents 15.0943 50: 15.0943 cents 15.0943 51: 15.0943 cents 15.0943 52: 37.7358 cents 37.7358 53: 15.0943 cents 15.0943 54: 15.0943 cents 15.0943 55: 15.0943 cents 15.0943 56: 37.7358 cents 37.7358 57: 15.0943 cents 15.0943
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 42 15.09434 cents 1: 15 37.73585 cents 2: 27 30.18868 cents 2: 30 52.83019 cents 3: 12 45.28302 cents 3: 45 67.92453 cents 4: 54 83.01887 cents 4: 3 105.66038 cents 5: 39 98.11321 cents 5: 18 120.75472 cents 6: 24 113.20755 cents 6: 33 135.84906 cents 7: 9 128.30189 cents 7: 48 150.94340 cents 8: 51 166.03774 cents 8: 6 188.67925 cents 9: 36 181.13207 cents 9: 21 203.77359 cents 10: 21 196.22642 cents 10: 36 218.86792 cents 11: 6 211.32075 cents 11: 51 233.96226 cents 12: 48 249.05660 cents 12: 9 271.69811 cents 13: 33 264.15094 cents 13: 24 286.79245 cents 14: 18 279.24528 cents 14: 39 301.88679 cents 15: 3 294.33962 cents 15: 54 316.98113 cents 16: 45 332.07547 cents 16: 12 354.71698 cents 17: 30 347.16981 cents 17: 27 369.81132 cents 18: 15 362.26415 cents 18: 42 384.90566 cents 19: 57 400.00000 cents 20: 42 415.09434 cents 20: 15 437.73585 cents 21: 27 430.18868 cents 21: 30 452.83019 cents 22: 12 445.28302 cents 22: 45 467.92453 cents 23: 54 483.01887 cents 23: 3 505.66038 cents 24: 39 498.11321 cents 24: 18 520.75472 cents 25: 24 513.20755 cents 25: 33 535.84906 cents 26: 9 528.30189 cents 26: 48 550.94340 cents 27: 51 566.03774 cents 27: 6 588.67925 cents 28: 36 581.13207 cents 28: 21 603.77359 cents 29: 21 596.22642 cents 29: 36 618.86792 cents 30: 6 611.32075 cents 30: 51 633.96226 cents 31: 48 649.05660 cents 31: 9 671.69811 cents 32: 33 664.15094 cents 32: 24 686.79245 cents 33: 18 679.24528 cents 33: 39 701.88679 cents 34: 3 694.33962 cents 34: 54 716.98113 cents 35: 45 732.07547 cents 35: 12 754.71698 cents 36: 30 747.16981 cents 36: 27 769.81132 cents 37: 15 762.26415 cents 37: 42 784.90566 cents 38: 57 800.00000 cents 39: 42 815.09434 cents 39: 15 837.73585 cents 40: 27 830.18868 cents 40: 30 852.83019 cents 41: 12 845.28302 cents 41: 45 867.92453 cents 42: 54 883.01887 cents 42: 3 905.66038 cents 43: 39 898.11321 cents 43: 18 920.75472 cents 44: 24 913.20755 cents 44: 33 935.84906 cents 45: 9 928.30189 cents 45: 48 950.94340 cents 46: 51 966.03774 cents 46: 6 988.67925 cents 47: 36 981.13207 cents 47: 21 1003.77359 cents 48: 21 996.22642 cents 48: 36 1018.86793 cents 49: 6 1011.32075 cents 49: 51 1033.96226 cents 50: 48 1049.05660 cents 50: 9 1071.69811 cents 51: 33 1064.15094 cents 51: 24 1086.79245 cents 52: 18 1079.24528 cents 52: 39 1101.88679 cents 53: 3 1094.33962 cents 53: 54 1116.98113 cents 54: 45 1132.07547 cents 54: 12 1154.71698 cents 55: 30 1147.16981 cents 55: 27 1169.81132 cents 56: 15 1162.26415 cents 56: 42 1184.90566 cents Highest number of different intervals for one interval class: 2 Average number of different intervals per interval class: 1.96429 = 55/28
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 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 0.0 : 15.1 52.8 67.9 83.0 98.1 135.8 150.9 166.0 181.1 218.9 234.0 249.1 264.2 301.9 317.0 332.1 347.2 384.9 400.0 415.1 452.8 467.9 483.0 498.1 535.8 550.9 566.0 581.1 618.9 634.0 649.1 664.2 701.9 717.0 732.1 747.2 784.9 800.0 815.1 852.8 867.9 883.0 898.1 935.8 950.9 966.0 981.1 1018.9 1034.0 1049.1 1064.2 1101.9 1117.0 1132.1 1147.2 1184.9 1200.0 15.1 : 37.7 52.8 67.9 83.0 120.8 135.8 150.9 166.0 203.8 218.9 234.0 249.1 286.8 301.9 317.0 332.1 369.8 384.9 400.0 437.7 452.8 467.9 483.0 520.8 535.8 550.9 566.0 603.8 618.9 634.0 649.1 686.8 701.9 717.0 732.1 769.8 784.9 800.0 837.7 852.8 867.9 883.0 920.8 935.8 950.9 966.0 1003.8 1018.9 1034.0 1049.1 1086.8 1101.9 1117.0 1132.1 1169.8 1184.9 1200.0 52.8 : 15.1 30.2 45.3 83.0 98.1 113.2 128.3 166.0 181.1 196.2 211.3 249.1 264.2 279.2 294.3 332.1 347.2 362.3 400.0 415.1 430.2 445.3 483.0 498.1 513.2 528.3 566.0 581.1 596.2 611.3 649.1 664.2 679.2 694.3 732.1 747.2 762.3 800.0 815.1 830.2 845.3 883.0 898.1 913.2 928.3 966.0 981.1 996.2 1011.3 1049.1 1064.2 1079.2 1094.3 1132.1 1147.2 1162.3 1200.0 67.9 : 15.1 30.2 67.9 83.0 98.1 113.2 150.9 166.0 181.1 196.2 234.0 249.1 264.2 279.2 317.0 332.1 347.2 384.9 400.0 415.1 430.2 467.9 483.0 498.1 513.2 550.9 566.0 581.1 596.2 634.0 649.1 664.2 679.2 717.0 732.1 747.2 784.9 800.0 815.1 830.2 867.9 883.0 898.1 913.2 950.9 966.0 981.1 996.2 1034.0 1049.1 1064.2 1079.2 1117.0 1132.1 1147.2 1184.9 1200.0 83.0 : 15.1 52.8 67.9 83.0 98.1 135.8 150.9 166.0 181.1 218.9 234.0 249.1 264.2 301.9 317.0 332.1 369.8 384.9 400.0 415.1 452.8 467.9 483.0 498.1 535.8 550.9 566.0 581.1 618.9 634.0 649.1 664.2 701.9 717.0 732.1 769.8 784.9 800.0 815.1 852.8 867.9 883.0 898.1 935.8 950.9 966.0 981.1 1018.9 1034.0 1049.1 1064.2 1101.9 1117.0 1132.1 1169.8 1184.9 1200.0 98.1 : 37.7 52.8 67.9 83.0 120.8 135.8 150.9 166.0 203.8 218.9 234.0 249.1 286.8 301.9 317.0 354.7 369.8 384.9 400.0 437.7 452.8 467.9 483.0 520.8 535.8 550.9 566.0 603.8 618.9 634.0 649.1 686.8 701.9 717.0 754.7 769.8 784.9 800.0 837.7 852.8 867.9 883.0 920.8 935.8 950.9 966.0 1003.8 1018.9 1034.0 1049.1 1086.8 1101.9 1117.0 1154.7 1169.8 1184.9 1200.0 135.8 : 15.1 30.2 45.3 83.0 98.1 113.2 128.3 166.0 181.1 196.2 211.3 249.1 264.2 279.2 317.0 332.1 347.2 362.3 400.0 415.1 430.2 445.3 483.0 498.1 513.2 528.3 566.0 581.1 596.2 611.3 649.1 664.2 679.2 717.0 732.1 747.2 762.3 800.0 815.1 830.2 845.3 883.0 898.1 913.2 928.3 966.0 981.1 996.2 1011.3 1049.1 1064.2 1079.2 1117.0 1132.1 1147.2 1162.3 1200.0 150.9 : 15.1 30.2 67.9 83.0 98.1 113.2 150.9 166.0 181.1 196.2 234.0 249.1 264.2 301.9 317.0 332.1 347.2 384.9 400.0 415.1 430.2 467.9 483.0 498.1 513.2 550.9 566.0 581.1 596.2 634.0 649.1 664.2 701.9 717.0 732.1 747.2 784.9 800.0 815.1 830.2 867.9 883.0 898.1 913.2 950.9 966.0 981.1 996.2 1034.0 1049.1 1064.2 1101.9 1117.0 1132.1 1147.2 1184.9 1200.0 166.0 : 15.1 52.8 67.9 83.0 98.1 135.8 150.9 166.0 181.1 218.9 234.0 249.1 286.8 301.9 317.0 332.1 369.8 384.9 400.0 415.1 452.8 467.9 483.0 498.1 535.8 550.9 566.0 581.1 618.9 634.0 649.1 686.8 701.9 717.0 732.1 769.8 784.9 800.0 815.1 852.8 867.9 883.0 898.1 935.8 950.9 966.0 981.1 1018.9 1034.0 1049.1 1086.8 1101.9 1117.0 1132.1 1169.8 1184.9 1200.0 181.1 : 37.7 52.8 67.9 83.0 120.8 135.8 150.9 166.0 203.8 218.9 234.0 271.7 286.8 301.9 317.0 354.7 369.8 384.9 400.0 437.7 452.8 467.9 483.0 520.8 535.8 550.9 566.0 603.8 618.9 634.0 671.7 686.8 701.9 717.0 754.7 769.8 784.9 800.0 837.7 852.8 867.9 883.0 920.8 935.8 950.9 966.0 1003.8 1018.9 1034.0 1071.7 1086.8 1101.9 1117.0 1154.7 1169.8 1184.9 1200.0 218.9 : 15.1 30.2 45.3 83.0 98.1 113.2 128.3 166.0 181.1 196.2 234.0 249.1 264.2 279.2 317.0 332.1 347.2 362.3 400.0 415.1 430.2 445.3 483.0 498.1 513.2 528.3 566.0 581.1 596.2 634.0 649.1 664.2 679.2 717.0 732.1 747.2 762.3 800.0 815.1 830.2 845.3 883.0 898.1 913.2 928.3 966.0 981.1 996.2 1034.0 1049.1 1064.2 1079.2 1117.0 1132.1 1147.2 1162.3 1200.0 234.0 : 15.1 30.2 67.9 83.0 98.1 113.2 150.9 166.0 181.1 218.9 234.0 249.1 264.2 301.9 317.0 332.1 347.2 384.9 400.0 415.1 430.2 467.9 483.0 498.1 513.2 550.9 566.0 581.1 618.9 634.0 649.1 664.2 701.9 717.0 732.1 747.2 784.9 800.0 815.1 830.2 867.9 883.0 898.1 913.2 950.9 966.0 981.1 1018.9 1034.0 1049.1 1064.2 1101.9 1117.0 1132.1 1147.2 1184.9 1200.0 249.1 : 15.1 52.8 67.9 83.0 98.1 135.8 150.9 166.0 203.8 218.9 234.0 249.1 286.8 301.9 317.0 332.1 369.8 384.9 400.0 415.1 452.8 467.9 483.0 498.1 535.8 550.9 566.0 603.8 618.9 634.0 649.1 686.8 701.9 717.0 732.1 769.8 784.9 800.0 815.1 852.8 867.9 883.0 898.1 935.8 950.9 966.0 1003.8 1018.9 1034.0 1049.1 1086.8 1101.9 1117.0 1132.1 1169.8 1184.9 1200.0 264.2 : 37.7 52.8 67.9 83.0 120.8 135.8 150.9 188.7 203.8 218.9 234.0 271.7 286.8 301.9 317.0 354.7 369.8 384.9 400.0 437.7 452.8 467.9 483.0 520.8 535.8 550.9 588.7 603.8 618.9 634.0 671.7 686.8 701.9 717.0 754.7 769.8 784.9 800.0 837.7 852.8 867.9 883.0 920.8 935.8 950.9 988.7 1003.8 1018.9 1034.0 1071.7 1086.8 1101.9 1117.0 1154.7 1169.8 1184.9 1200.0 301.9 : 15.1 30.2 45.3 83.0 98.1 113.2 150.9 166.0 181.1 196.2 234.0 249.1 264.2 279.2 317.0 332.1 347.2 362.3 400.0 415.1 430.2 445.3 483.0 498.1 513.2 550.9 566.0 581.1 596.2 634.0 649.1 664.2 679.2 717.0 732.1 747.2 762.3 800.0 815.1 830.2 845.3 883.0 898.1 913.2 950.9 966.0 981.1 996.2 1034.0 1049.1 1064.2 1079.2 1117.0 1132.1 1147.2 1162.3 1200.0 317.0 : 15.1 30.2 67.9 83.0 98.1 135.8 150.9 166.0 181.1 218.9 234.0 249.1 264.2 301.9 317.0 332.1 347.2 384.9 400.0 415.1 430.2 467.9 483.0 498.1 535.8 550.9 566.0 581.1 618.9 634.0 649.1 664.2 701.9 717.0 732.1 747.2 784.9 800.0 815.1 830.2 867.9 883.0 898.1 935.8 950.9 966.0 981.1 1018.9 1034.0 1049.1 1064.2 1101.9 1117.0 1132.1 1147.2 1184.9 1200.0 332.1 : 15.1 52.8 67.9 83.0 120.8 135.8 150.9 166.0 203.8 218.9 234.0 249.1 286.8 301.9 317.0 332.1 369.8 384.9 400.0 415.1 452.8 467.9 483.0 520.8 535.8 550.9 566.0 603.8 618.9 634.0 649.1 686.8 701.9 717.0 732.1 769.8 784.9 800.0 815.1 852.8 867.9 883.0 920.8 935.8 950.9 966.0 1003.8 1018.9 1034.0 1049.1 1086.8 1101.9 1117.0 1132.1 1169.8 1184.9 1200.0 347.2 : 37.7 52.8 67.9 105.7 120.8 135.8 150.9 188.7 203.8 218.9 234.0 271.7 286.8 301.9 317.0 354.7 369.8 384.9 400.0 437.7 452.8 467.9 505.7 520.8 535.8 550.9 588.7 603.8 618.9 634.0 671.7 686.8 701.9 717.0 754.7 769.8 784.9 800.0 837.7 852.8 867.9 905.7 920.8 935.8 950.9 988.7 1003.8 1018.9 1034.0 1071.7 1086.8 1101.9 1117.0 1154.7 1169.8 1184.9 1200.0 384.9 : 15.1 30.2 67.9 83.0 98.1 113.2 150.9 166.0 181.1 196.2 234.0 249.1 264.2 279.2 317.0 332.1 347.2 362.3 400.0 415.1 430.2 467.9 483.0 498.1 513.2 550.9 566.0 581.1 596.2 634.0 649.1 664.2 679.2 717.0 732.1 747.2 762.3 800.0 815.1 830.2 867.9 883.0 898.1 913.2 950.9 966.0 981.1 996.2 1034.0 1049.1 1064.2 1079.2 1117.0 1132.1 1147.2 1162.3 1200.0 400.0 : 15.1 52.8 67.9 83.0 98.1 135.8 150.9 166.0 181.1 218.9 234.0 249.1 264.2 301.9 317.0 332.1 347.2 384.9 400.0 415.1 452.8 467.9 483.0 498.1 535.8 550.9 566.0 581.1 618.9 634.0 649.1 664.2 701.9 717.0 732.1 747.2 784.9 800.0 815.1 852.8 867.9 883.0 898.1 935.8 950.9 966.0 981.1 1018.9 1034.0 1049.1 1064.2 1101.9 1117.0 1132.1 1147.2 1184.9 1200.0 415.1 : 37.7 52.8 67.9 83.0 120.8 135.8 150.9 166.0 203.8 218.9 234.0 249.1 286.8 301.9 317.0 332.1 369.8 384.9 400.0 437.7 452.8 467.9 483.0 520.8 535.8 550.9 566.0 603.8 618.9 634.0 649.1 686.8 701.9 717.0 732.1 769.8 784.9 800.0 837.7 852.8 867.9 883.0 920.8 935.8 950.9 966.0 1003.8 1018.9 1034.0 1049.1 1086.8 1101.9 1117.0 1132.1 1169.8 1184.9 1200.0 452.8 : 15.1 30.2 45.3 83.0 98.1 113.2 128.3 166.0 181.1 196.2 211.3 249.1 264.2 279.2 294.3 332.1 347.2 362.3 400.0 415.1 430.2 445.3 483.0 498.1 513.2 528.3 566.0 581.1 596.2 611.3 649.1 664.2 679.2 694.3 732.1 747.2 762.3 800.0 815.1 830.2 845.3 883.0 898.1 913.2 928.3 966.0 981.1 996.2 1011.3 1049.1 1064.2 1079.2 1094.3 1132.1 1147.2 1162.3 1200.0 467.9 : 15.1 30.2 67.9 83.0 98.1 113.2 150.9 166.0 181.1 196.2 234.0 249.1 264.2 279.2 317.0 332.1 347.2 384.9 400.0 415.1 430.2 467.9 483.0 498.1 513.2 550.9 566.0 581.1 596.2 634.0 649.1 664.2 679.2 717.0 732.1 747.2 784.9 800.0 815.1 830.2 867.9 883.0 898.1 913.2 950.9 966.0 981.1 996.2 1034.0 1049.1 1064.2 1079.2 1117.0 1132.1 1147.2 1184.9 1200.0 483.0 : 15.1 52.8 67.9 83.0 98.1 135.8 150.9 166.0 181.1 218.9 234.0 249.1 264.2 301.9 317.0 332.1 369.8 384.9 400.0 415.1 452.8 467.9 483.0 498.1 535.8 550.9 566.0 581.1 618.9 634.0 649.1 664.2 701.9 717.0 732.1 769.8 784.9 800.0 815.1 852.8 867.9 883.0 898.1 935.8 950.9 966.0 981.1 1018.9 1034.0 1049.1 1064.2 1101.9 1117.0 1132.1 1169.8 1184.9 1200.0 498.1 : 37.7 52.8 67.9 83.0 120.8 135.8 150.9 166.0 203.8 218.9 234.0 249.1 286.8 301.9 317.0 354.7 369.8 384.9 400.0 437.7 452.8 467.9 483.0 520.8 535.8 550.9 566.0 603.8 618.9 634.0 649.1 686.8 701.9 717.0 754.7 769.8 784.9 800.0 837.7 852.8 867.9 883.0 920.8 935.8 950.9 966.0 1003.8 1018.9 1034.0 1049.1 1086.8 1101.9 1117.0 1154.7 1169.8 1184.9 1200.0 535.8 : 15.1 30.2 45.3 83.0 98.1 113.2 128.3 166.0 181.1 196.2 211.3 249.1 264.2 279.2 317.0 332.1 347.2 362.3 400.0 415.1 430.2 445.3 483.0 498.1 513.2 528.3 566.0 581.1 596.2 611.3 649.1 664.2 679.2 717.0 732.1 747.2 762.3 800.0 815.1 830.2 845.3 883.0 898.1 913.2 928.3 966.0 981.1 996.2 1011.3 1049.1 1064.2 1079.2 1117.0 1132.1 1147.2 1162.3 1200.0 550.9 : 15.1 30.2 67.9 83.0 98.1 113.2 150.9 166.0 181.1 196.2 234.0 249.1 264.2 301.9 317.0 332.1 347.2 384.9 400.0 415.1 430.2 467.9 483.0 498.1 513.2 550.9 566.0 581.1 596.2 634.0 649.1 664.2 701.9 717.0 732.1 747.2 784.9 800.0 815.1 830.2 867.9 883.0 898.1 913.2 950.9 966.0 981.1 996.2 1034.0 1049.1 1064.2 1101.9 1117.0 1132.1 1147.2 1184.9 1200.0 566.0 : 15.1 52.8 67.9 83.0 98.1 135.8 150.9 166.0 181.1 218.9 234.0 249.1 286.8 301.9 317.0 332.1 369.8 384.9 400.0 415.1 452.8 467.9 483.0 498.1 535.8 550.9 566.0 581.1 618.9 634.0 649.1 686.8 701.9 717.0 732.1 769.8 784.9 800.0 815.1 852.8 867.9 883.0 898.1 935.8 950.9 966.0 981.1 1018.9 1034.0 1049.1 1086.8 1101.9 1117.0 1132.1 1169.8 1184.9 1200.0 581.1 : 37.7 52.8 67.9 83.0 120.8 135.8 150.9 166.0 203.8 218.9 234.0 271.7 286.8 301.9 317.0 354.7 369.8 384.9 400.0 437.7 452.8 467.9 483.0 520.8 535.8 550.9 566.0 603.8 618.9 634.0 671.7 686.8 701.9 717.0 754.7 769.8 784.9 800.0 837.7 852.8 867.9 883.0 920.8 935.8 950.9 966.0 1003.8 1018.9 1034.0 1071.7 1086.8 1101.9 1117.0 1154.7 1169.8 1184.9 1200.0 618.9 : 15.1 30.2 45.3 83.0 98.1 113.2 128.3 166.0 181.1 196.2 234.0 249.1 264.2 279.2 317.0 332.1 347.2 362.3 400.0 415.1 430.2 445.3 483.0 498.1 513.2 528.3 566.0 581.1 596.2 634.0 649.1 664.2 679.2 717.0 732.1 747.2 762.3 800.0 815.1 830.2 845.3 883.0 898.1 913.2 928.3 966.0 981.1 996.2 1034.0 1049.1 1064.2 1079.2 1117.0 1132.1 1147.2 1162.3 1200.0 634.0 : 15.1 30.2 67.9 83.0 98.1 113.2 150.9 166.0 181.1 218.9 234.0 249.1 264.2 301.9 317.0 332.1 347.2 384.9 400.0 415.1 430.2 467.9 483.0 498.1 513.2 550.9 566.0 581.1 618.9 634.0 649.1 664.2 701.9 717.0 732.1 747.2 784.9 800.0 815.1 830.2 867.9 883.0 898.1 913.2 950.9 966.0 981.1 1018.9 1034.0 1049.1 1064.2 1101.9 1117.0 1132.1 1147.2 1184.9 1200.0 649.1 : 15.1 52.8 67.9 83.0 98.1 135.8 150.9 166.0 203.8 218.9 234.0 249.1 286.8 301.9 317.0 332.1 369.8 384.9 400.0 415.1 452.8 467.9 483.0 498.1 535.8 550.9 566.0 603.8 618.9 634.0 649.1 686.8 701.9 717.0 732.1 769.8 784.9 800.0 815.1 852.8 867.9 883.0 898.1 935.8 950.9 966.0 1003.8 1018.9 1034.0 1049.1 1086.8 1101.9 1117.0 1132.1 1169.8 1184.9 1200.0 664.2 : 37.7 52.8 67.9 83.0 120.8 135.8 150.9 188.7 203.8 218.9 234.0 271.7 286.8 301.9 317.0 354.7 369.8 384.9 400.0 437.7 452.8 467.9 483.0 520.8 535.8 550.9 588.7 603.8 618.9 634.0 671.7 686.8 701.9 717.0 754.7 769.8 784.9 800.0 837.7 852.8 867.9 883.0 920.8 935.8 950.9 988.7 1003.8 1018.9 1034.0 1071.7 1086.8 1101.9 1117.0 1154.7 1169.8 1184.9 1200.0 701.9 : 15.1 30.2 45.3 83.0 98.1 113.2 150.9 166.0 181.1 196.2 234.0 249.1 264.2 279.2 317.0 332.1 347.2 362.3 400.0 415.1 430.2 445.3 483.0 498.1 513.2 550.9 566.0 581.1 596.2 634.0 649.1 664.2 679.2 717.0 732.1 747.2 762.3 800.0 815.1 830.2 845.3 883.0 898.1 913.2 950.9 966.0 981.1 996.2 1034.0 1049.1 1064.2 1079.2 1117.0 1132.1 1147.2 1162.3 1200.0 717.0 : 15.1 30.2 67.9 83.0 98.1 135.8 150.9 166.0 181.1 218.9 234.0 249.1 264.2 301.9 317.0 332.1 347.2 384.9 400.0 415.1 430.2 467.9 483.0 498.1 535.8 550.9 566.0 581.1 618.9 634.0 649.1 664.2 701.9 717.0 732.1 747.2 784.9 800.0 815.1 830.2 867.9 883.0 898.1 935.8 950.9 966.0 981.1 1018.9 1034.0 1049.1 1064.2 1101.9 1117.0 1132.1 1147.2 1184.9 1200.0 732.1 : 15.1 52.8 67.9 83.0 120.8 135.8 150.9 166.0 203.8 218.9 234.0 249.1 286.8 301.9 317.0 332.1 369.8 384.9 400.0 415.1 452.8 467.9 483.0 520.8 535.8 550.9 566.0 603.8 618.9 634.0 649.1 686.8 701.9 717.0 732.1 769.8 784.9 800.0 815.1 852.8 867.9 883.0 920.8 935.8 950.9 966.0 1003.8 1018.9 1034.0 1049.1 1086.8 1101.9 1117.0 1132.1 1169.8 1184.9 1200.0 747.2 : 37.7 52.8 67.9 105.7 120.8 135.8 150.9 188.7 203.8 218.9 234.0 271.7 286.8 301.9 317.0 354.7 369.8 384.9 400.0 437.7 452.8 467.9 505.7 520.8 535.8 550.9 588.7 603.8 618.9 634.0 671.7 686.8 701.9 717.0 754.7 769.8 784.9 800.0 837.7 852.8 867.9 905.7 920.8 935.8 950.9 988.7 1003.8 1018.9 1034.0 1071.7 1086.8 1101.9 1117.0 1154.7 1169.8 1184.9 1200.0 784.9 : 15.1 30.2 67.9 83.0 98.1 113.2 150.9 166.0 181.1 196.2 234.0 249.1 264.2 279.2 317.0 332.1 347.2 362.3 400.0 415.1 430.2 467.9 483.0 498.1 513.2 550.9 566.0 581.1 596.2 634.0 649.1 664.2 679.2 717.0 732.1 747.2 762.3 800.0 815.1 830.2 867.9 883.0 898.1 913.2 950.9 966.0 981.1 996.2 1034.0 1049.1 1064.2 1079.2 1117.0 1132.1 1147.2 1162.3 1200.0 800.0 : 15.1 52.8 67.9 83.0 98.1 135.8 150.9 166.0 181.1 218.9 234.0 249.1 264.2 301.9 317.0 332.1 347.2 384.9 400.0 415.1 452.8 467.9 483.0 498.1 535.8 550.9 566.0 581.1 618.9 634.0 649.1 664.2 701.9 717.0 732.1 747.2 784.9 800.0 815.1 852.8 867.9 883.0 898.1 935.8 950.9 966.0 981.1 1018.9 1034.0 1049.1 1064.2 1101.9 1117.0 1132.1 1147.2 1184.9 1200.0 815.1 : 37.7 52.8 67.9 83.0 120.8 135.8 150.9 166.0 203.8 218.9 234.0 249.1 286.8 301.9 317.0 332.1 369.8 384.9 400.0 437.7 452.8 467.9 483.0 520.8 535.8 550.9 566.0 603.8 618.9 634.0 649.1 686.8 701.9 717.0 732.1 769.8 784.9 800.0 837.7 852.8 867.9 883.0 920.8 935.8 950.9 966.0 1003.8 1018.9 1034.0 1049.1 1086.8 1101.9 1117.0 1132.1 1169.8 1184.9 1200.0 852.8 : 15.1 30.2 45.3 83.0 98.1 113.2 128.3 166.0 181.1 196.2 211.3 249.1 264.2 279.2 294.3 332.1 347.2 362.3 400.0 415.1 430.2 445.3 483.0 498.1 513.2 528.3 566.0 581.1 596.2 611.3 649.1 664.2 679.2 694.3 732.1 747.2 762.3 800.0 815.1 830.2 845.3 883.0 898.1 913.2 928.3 966.0 981.1 996.2 1011.3 1049.1 1064.2 1079.2 1094.3 1132.1 1147.2 1162.3 1200.0 867.9 : 15.1 30.2 67.9 83.0 98.1 113.2 150.9 166.0 181.1 196.2 234.0 249.1 264.2 279.2 317.0 332.1 347.2 384.9 400.0 415.1 430.2 467.9 483.0 498.1 513.2 550.9 566.0 581.1 596.2 634.0 649.1 664.2 679.2 717.0 732.1 747.2 784.9 800.0 815.1 830.2 867.9 883.0 898.1 913.2 950.9 966.0 981.1 996.2 1034.0 1049.1 1064.2 1079.2 1117.0 1132.1 1147.2 1184.9 1200.0 883.0 : 15.1 52.8 67.9 83.0 98.1 135.8 150.9 166.0 181.1 218.9 234.0 249.1 264.2 301.9 317.0 332.1 369.8 384.9 400.0 415.1 452.8 467.9 483.0 498.1 535.8 550.9 566.0 581.1 618.9 634.0 649.1 664.2 701.9 717.0 732.1 769.8 784.9 800.0 815.1 852.8 867.9 883.0 898.1 935.8 950.9 966.0 981.1 1018.9 1034.0 1049.1 1064.2 1101.9 1117.0 1132.1 1169.8 1184.9 1200.0 898.1 : 37.7 52.8 67.9 83.0 120.8 135.8 150.9 166.0 203.8 218.9 234.0 249.1 286.8 301.9 317.0 354.7 369.8 384.9 400.0 437.7 452.8 467.9 483.0 520.8 535.8 550.9 566.0 603.8 618.9 634.0 649.1 686.8 701.9 717.0 754.7 769.8 784.9 800.0 837.7 852.8 867.9 883.0 920.8 935.8 950.9 966.0 1003.8 1018.9 1034.0 1049.1 1086.8 1101.9 1117.0 1154.7 1169.8 1184.9 1200.0 935.8 : 15.1 30.2 45.3 83.0 98.1 113.2 128.3 166.0 181.1 196.2 211.3 249.1 264.2 279.2 317.0 332.1 347.2 362.3 400.0 415.1 430.2 445.3 483.0 498.1 513.2 528.3 566.0 581.1 596.2 611.3 649.1 664.2 679.2 717.0 732.1 747.2 762.3 800.0 815.1 830.2 845.3 883.0 898.1 913.2 928.3 966.0 981.1 996.2 1011.3 1049.1 1064.2 1079.2 1117.0 1132.1 1147.2 1162.3 1200.0 950.9 : 15.1 30.2 67.9 83.0 98.1 113.2 150.9 166.0 181.1 196.2 234.0 249.1 264.2 301.9 317.0 332.1 347.2 384.9 400.0 415.1 430.2 467.9 483.0 498.1 513.2 550.9 566.0 581.1 596.2 634.0 649.1 664.2 701.9 717.0 732.1 747.2 784.9 800.0 815.1 830.2 867.9 883.0 898.1 913.2 950.9 966.0 981.1 996.2 1034.0 1049.1 1064.2 1101.9 1117.0 1132.1 1147.2 1184.9 1200.0 966.0 : 15.1 52.8 67.9 83.0 98.1 135.8 150.9 166.0 181.1 218.9 234.0 249.1 286.8 301.9 317.0 332.1 369.8 384.9 400.0 415.1 452.8 467.9 483.0 498.1 535.8 550.9 566.0 581.1 618.9 634.0 649.1 686.8 701.9 717.0 732.1 769.8 784.9 800.0 815.1 852.8 867.9 883.0 898.1 935.8 950.9 966.0 981.1 1018.9 1034.0 1049.1 1086.8 1101.9 1117.0 1132.1 1169.8 1184.9 1200.0 981.1 : 37.7 52.8 67.9 83.0 120.8 135.8 150.9 166.0 203.8 218.9 234.0 271.7 286.8 301.9 317.0 354.7 369.8 384.9 400.0 437.7 452.8 467.9 483.0 520.8 535.8 550.9 566.0 603.8 618.9 634.0 671.7 686.8 701.9 717.0 754.7 769.8 784.9 800.0 837.7 852.8 867.9 883.0 920.8 935.8 950.9 966.0 1003.8 1018.9 1034.0 1071.7 1086.8 1101.9 1117.0 1154.7 1169.8 1184.9 1200.0 1018.9: 15.1 30.2 45.3 83.0 98.1 113.2 128.3 166.0 181.1 196.2 234.0 249.1 264.2 279.2 317.0 332.1 347.2 362.3 400.0 415.1 430.2 445.3 483.0 498.1 513.2 528.3 566.0 581.1 596.2 634.0 649.1 664.2 679.2 717.0 732.1 747.2 762.3 800.0 815.1 830.2 845.3 883.0 898.1 913.2 928.3 966.0 981.1 996.2 1034.0 1049.1 1064.2 1079.2 1117.0 1132.1 1147.2 1162.3 1200.0 1034.0: 15.1 30.2 67.9 83.0 98.1 113.2 150.9 166.0 181.1 218.9 234.0 249.1 264.2 301.9 317.0 332.1 347.2 384.9 400.0 415.1 430.2 467.9 483.0 498.1 513.2 550.9 566.0 581.1 618.9 634.0 649.1 664.2 701.9 717.0 732.1 747.2 784.9 800.0 815.1 830.2 867.9 883.0 898.1 913.2 950.9 966.0 981.1 1018.9 1034.0 1049.1 1064.2 1101.9 1117.0 1132.1 1147.2 1184.9 1200.0 1049.1: 15.1 52.8 67.9 83.0 98.1 135.8 150.9 166.0 203.8 218.9 234.0 249.1 286.8 301.9 317.0 332.1 369.8 384.9 400.0 415.1 452.8 467.9 483.0 498.1 535.8 550.9 566.0 603.8 618.9 634.0 649.1 686.8 701.9 717.0 732.1 769.8 784.9 800.0 815.1 852.8 867.9 883.0 898.1 935.8 950.9 966.0 1003.8 1018.9 1034.0 1049.1 1086.8 1101.9 1117.0 1132.1 1169.8 1184.9 1200.0 1064.2: 37.7 52.8 67.9 83.0 120.8 135.8 150.9 188.7 203.8 218.9 234.0 271.7 286.8 301.9 317.0 354.7 369.8 384.9 400.0 437.7 452.8 467.9 483.0 520.8 535.8 550.9 588.7 603.8 618.9 634.0 671.7 686.8 701.9 717.0 754.7 769.8 784.9 800.0 837.7 852.8 867.9 883.0 920.8 935.8 950.9 988.7 1003.8 1018.9 1034.0 1071.7 1086.8 1101.9 1117.0 1154.7 1169.8 1184.9 1200.0 1101.9: 15.1 30.2 45.3 83.0 98.1 113.2 150.9 166.0 181.1 196.2 234.0 249.1 264.2 279.2 317.0 332.1 347.2 362.3 400.0 415.1 430.2 445.3 483.0 498.1 513.2 550.9 566.0 581.1 596.2 634.0 649.1 664.2 679.2 717.0 732.1 747.2 762.3 800.0 815.1 830.2 845.3 883.0 898.1 913.2 950.9 966.0 981.1 996.2 1034.0 1049.1 1064.2 1079.2 1117.0 1132.1 1147.2 1162.3 1200.0 1117.0: 15.1 30.2 67.9 83.0 98.1 135.8 150.9 166.0 181.1 218.9 234.0 249.1 264.2 301.9 317.0 332.1 347.2 384.9 400.0 415.1 430.2 467.9 483.0 498.1 535.8 550.9 566.0 581.1 618.9 634.0 649.1 664.2 701.9 717.0 732.1 747.2 784.9 800.0 815.1 830.2 867.9 883.0 898.1 935.8 950.9 966.0 981.1 1018.9 1034.0 1049.1 1064.2 1101.9 1117.0 1132.1 1147.2 1184.9 1200.0 1132.1: 15.1 52.8 67.9 83.0 120.8 135.8 150.9 166.0 203.8 218.9 234.0 249.1 286.8 301.9 317.0 332.1 369.8 384.9 400.0 415.1 452.8 467.9 483.0 520.8 535.8 550.9 566.0 603.8 618.9 634.0 649.1 686.8 701.9 717.0 732.1 769.8 784.9 800.0 815.1 852.8 867.9 883.0 920.8 935.8 950.9 966.0 1003.8 1018.9 1034.0 1049.1 1086.8 1101.9 1117.0 1132.1 1169.8 1184.9 1200.0 1147.2: 37.7 52.8 67.9 105.7 120.8 135.8 150.9 188.7 203.8 218.9 234.0 271.7 286.8 301.9 317.0 354.7 369.8 384.9 400.0 437.7 452.8 467.9 505.7 520.8 535.8 550.9 588.7 603.8 618.9 634.0 671.7 686.8 701.9 717.0 754.7 769.8 784.9 800.0 837.7 852.8 867.9 905.7 920.8 935.8 950.9 988.7 1003.8 1018.9 1034.0 1071.7 1086.8 1101.9 1117.0 1154.7 1169.8 1184.9 1200.0 1184.9: 15.1 30.2 67.9 83.0 98.1 113.2 150.9 166.0 181.1 196.2 234.0 249.1 264.2 279.2 317.0 332.1 347.2 362.3 400.0 415.1 430.2 467.9 483.0 498.1 513.2 550.9 566.0 581.1 596.2 634.0 649.1 664.2 679.2 717.0 732.1 747.2 762.3 800.0 815.1 830.2 867.9 883.0 898.1 913.2 950.9 966.0 981.1 996.2 1034.0 1049.1 1064.2 1079.2 1117.0 1132.1 1147.2 1162.3 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 15.0943 .. 37.7358 cents 22.64151 cents 15.09434 cents 2: 30.1887 .. 52.8302 cents 22.64151 cents -7.54717 cents 3: 45.2830 .. 67.9245 cents 22.64151 cents -7.54717 cents 4: 83.0189 .. 105.6604 cents 22.64151 cents 15.09434 cents 5: 98.1132 .. 120.7547 cents 22.64151 cents -7.54717 cents 6: 113.2075 .. 135.8491 cents 22.64151 cents -7.54717 cents 7: 128.3019 .. 150.9434 cents 22.64151 cents -7.54717 cents 8: 166.0377 .. 188.6792 cents 22.64151 cents 15.09434 cents 9: 181.1321 .. 203.7736 cents 22.64151 cents -7.54717 cents 10: 196.2264 .. 218.8679 cents 22.64151 cents -7.54717 cents 11: 211.3208 .. 233.9623 cents 22.64151 cents -7.54717 cents 12: 249.0566 .. 271.6981 cents 22.64151 cents 15.09434 cents 13: 264.1509 .. 286.7925 cents 22.64151 cents -7.54717 cents 14: 279.2453 .. 301.8868 cents 22.64151 cents -7.54717 cents 15: 294.3396 .. 316.9811 cents 22.64151 cents -7.54717 cents 16: 332.0755 .. 354.7170 cents 22.64151 cents 15.09434 cents 17: 347.1698 .. 369.8113 cents 22.64151 cents -7.54717 cents 18: 362.2642 .. 384.9057 cents 22.64151 cents -7.54717 cents 19: 400.0000 .. 400.0000 cents 1/1, 0.0000 cents 15.09434 cents 20: 415.0943 .. 437.7358 cents 22.64151 cents 15.09434 cents 21: 430.1887 .. 452.8302 cents 22.64151 cents -7.54717 cents 22: 445.2830 .. 467.9245 cents 22.64151 cents -7.54717 cents 23: 483.0189 .. 505.6604 cents 22.64151 cents 15.09434 cents 24: 498.1132 .. 520.7547 cents 22.64151 cents -7.54717 cents 25: 513.2075 .. 535.8491 cents 22.64151 cents -7.54717 cents 26: 528.3019 .. 550.9434 cents 22.64151 cents -7.54717 cents 27: 566.0377 .. 588.6792 cents 22.64151 cents 15.09434 cents 28: 581.1321 .. 603.7736 cents 22.64151 cents -7.54717 cents 29: 596.2264 .. 618.8679 cents 22.64151 cents -7.54717 cents 30: 611.3208 .. 633.9623 cents 22.64151 cents -7.54717 cents 31: 649.0566 .. 671.6981 cents 22.64151 cents 15.09434 cents 32: 664.1509 .. 686.7925 cents 22.64151 cents -7.54717 cents 33: 679.2453 .. 701.8868 cents 22.64151 cents -7.54717 cents 34: 694.3396 .. 716.9811 cents 22.64151 cents -7.54717 cents 35: 732.0755 .. 754.7170 cents 22.64151 cents 15.09434 cents 36: 747.1698 .. 769.8113 cents 22.64151 cents -7.54717 cents 37: 762.2642 .. 784.9057 cents 22.64151 cents -7.54717 cents 38: 800.0000 .. 800.0000 cents 1/1, 0.0000 cents 15.09434 cents 39: 815.0943 .. 837.7358 cents 22.64151 cents 15.09434 cents 40: 830.1887 .. 852.8302 cents 22.64151 cents -7.54717 cents 41: 845.2830 .. 867.9245 cents 22.64151 cents -7.54717 cents 42: 883.0189 .. 905.6604 cents 22.64151 cents 15.09434 cents 43: 898.1132 .. 920.7547 cents 22.64151 cents -7.54717 cents 44: 913.2075 .. 935.8491 cents 22.64151 cents -7.54717 cents 45: 928.3019 .. 950.9434 cents 22.64151 cents -7.54717 cents 46: 966.0377 .. 988.6792 cents 22.64151 cents 15.09434 cents 47: 981.1321 .. 1003.7736 cents 22.64151 cents -7.54717 cents 48: 996.2264 .. 1018.8679 cents 22.64151 cents -7.54717 cents 49: 1011.3208 .. 1033.9623 cents 22.64151 cents -7.54717 cents 50: 1049.0566 .. 1071.6981 cents 22.64151 cents 15.09434 cents 51: 1064.1509 .. 1086.7925 cents 22.64151 cents -7.54717 cents 52: 1079.2453 .. 1101.8868 cents 22.64151 cents -7.54717 cents 53: 1094.3396 .. 1116.9811 cents 22.64151 cents -7.54717 cents 54: 1132.0755 .. 1154.7170 cents 22.64151 cents 15.09434 cents 55: 1147.1698 .. 1169.8113 cents 22.64151 cents -7.54717 cents 56: 1162.2642 .. 1184.9057 cents 22.64151 cents -7.54717 cents
SHOW DATA
Number of notes : 57 -- Interval properties -- Smallest interval : 15.09434 cents, class 1 Average step (divided formal octave): 21.0526 cents Largest one step interval : 37.73585 cents Average / Smallest step : 1.394737 Largest / Average step : 1.792453 Largest / Smallest step : 2.500000 Median interval of one step : 15.09434 cents, amount: 42 Most common interval of one step : 15.09434 cents, amount: 42 Least squares average step : 21.04727 cents, oct.: 1199.69449 cents Scale is not proper Scale has 3 repeating blocks of 19 notes Blocks have Myhill's property chromas: 22.64151 cents and 7.54717 cents, ratio: 3.000000 generators: 4 of 83.01887 cents and 15 of 316.98113 cents ET pair of linear temperament : 72&159 Scale is distributional even Scale is a mode of a 159-tone equal temperament with octave 1200.000 cents degrees: 2 7 9 11 13 18 20 22 24 29 31 33 35 40 42 44 46 51 53 55 60 62 64 66 71 73 75 77 82 84 86 88 93 95 97 99 104 106 108 113 115 117 119 124 126 128 130 135 137 139 141 146 148 150 152 157 159 Least number of segments generator : 95 of 716.981 cents and inv. number of contiguous generator circle segments: 2 Shortest superset generator : 95 of 716.981 cents and inv. generated superset size: 125 = 68 more = 219.298% Number of contiguous 1-step segments: 0 Step pattern alph. order: ABAAABAAABAAABAAABAABAAABAAABAAABAAABAABAAABAAABAAABAAABA Step pattern size order : SLSSSLSSSLSSSLSSSLSSLSSSLSSSLSSSLSSSLSSLSSSLSSSLSSSLSSSLS Interval vector is [ 0 42 0 27 15 12 30 0 45 0 54 0 39 3 24 18 9 33 0 48 0 51 0 36 6 21 21 6 36 0 51 0 48 0 33 9 18 24 3 39 0 54 0 45 0 30 12 15 27 0 42 0 57 0 42 0 27 15 12 30 0 45 0 54 0 39 3 24 18 9 33 0 48 0 51 0 36 6 21 ] Scale is a Constant Structure, by a margin of 7.54717 cents Scale diversity : 1.136900 Lumma stability : 0.226415 Lumma impropriety factor : 0.245283 Number of different interval sizes : 110 = 1.96429 / class Number of one step interval sizes : 2 Highest interval variety : 2 Mean interval variety : 1.96429 = 55/28 Median interval variety : 2 Lowest interval variety : 1 Smallest interval difference : 7.54717 cents Most common intervals : 400.00000 cents & inv., amount: 57 Most common triad is 0.0 400.000 800.000 cents, amount: 57 Number of recognisable fifths : 120, average 705.4717 cents Number of appreciable fifths : 42, average 701.3477 cents Formal octave complements present : 57 = 100.0000% Limited transpositions : 19 38 Limited inverse transpositions : 19 38 Inversional symmetry on degrees : 0 19 38 Inversional symmetry on intervals : 9-10 28-29 47-48 -- Rational properties --
FIT/MODE
57: 0 2 1 0 1 2 1 0 1 2 1 0 1 2 1 0 1 2 0 1 2 1 0 1 2 1 0 1 2 1 0 1 2 1 0 1 2 0 1 2 1 0 1 2 1 0 1 2 1 0 1 2 1 0 1 2 1 N T3 SD: 12.2172 c. M: 21.0526 c. 58: 1 2 0 1 1 2 0 1 1 2 0 1 1 2 0 1 1 2 0 1 2 1 0 1 2 1 0 1 2 1 0 1 2 1 0 1 2 1 0 2 1 1 0 2 1 1 0 2 1 1 0 2 1 1 0 2 1 N D3 I SD: 5.8086 c. M:-9.2388 c. 60: 1 2 0 1 1 2 1 0 1 2 1 0 1 2 1 1 0 2 1 1 2 0 1 1 2 1 0 1 2 1 0 1 2 1 1 0 2 1 1 2 0 1 1 2 1 0 1 2 1 0 1 2 1 1 0 2 1 N B D3 I SD: 5.5053 c. M:-9.0566 c. 61: 1 2 0 1 1 2 1 0 1 2 1 1 0 2 1 1 1 2 0 1 2 1 1 0 2 1 1 1 1 1 1 1 2 0 1 1 2 1 0 2 1 1 1 2 0 1 1 2 1 0 1 2 1 1 0 2 1 N D3 I SD: 5.6283 c. M:-9.0319 c. 62: 1 2 1 0 1 2 1 1 0 2 1 1 1 2 0 1 1 2 1 0 2 1 1 1 2 0 1 1 2 1 1 0 2 1 1 1 2 0 1 2 1 1 0 2 1 1 1 2 0 1 1 2 1 0 1 2 1 N I SD: 5.5392 c. M: 9.4948 c. 63: 1 2 1 0 1 2 1 1 1 1 1 1 1 2 1 0 1 2 1 1 2 1 0 1 2 1 1 1 1 1 1 1 2 1 0 1 2 1 1 2 1 0 1 2 1 1 1 1 1 1 1 2 1 0 1 2 1 N B D3 I SD: 5.4504 c. M: 9.3441 c. 66: 1 2 1 1 0 2 1 1 1 2 1 1 1 2 0 1 1 2 1 1 2 1 1 0 2 1 1 1 2 1 1 1 2 0 1 1 2 1 1 2 1 1 0 2 1 1 1 2 1 1 1 2 0 1 1 2 1 N B D3 I SD: 5.2276 c. M:-8.5763 c. 68: 1 2 1 1 1 2 1 0 1 2 1 1 1 2 1 1 1 2 1 1 2 1 0 1 2 1 1 1 2 1 1 1 2 1 0 1 2 1 1 2 1 1 1 2 1 1 1 2 1 0 1 2 1 1 1 2 1 N I SD: 5.0715 c. M:-8.5461 c. 69: 1 2 1 1 1 2 1 1 0 3 0 1 1 2 1 1 1 2 1 1 2 1 1 1 2 1 1 0 3 0 1 1 2 1 1 1 2 1 1 2 1 1 1 2 1 1 0 3 0 1 1 2 1 1 1 2 1 N B I SD: 4.7991 c. M:-7.8753 c. 72: 1 2 1 1 1 2 1 1 1 2 1 1 1 2 1 1 1 2 1 1 2 1 1 1 2 1 1 1 2 1 1 1 2 1 1 1 2 1 1 2 1 1 1 2 1 1 1 2 1 1 1 2 1 1 1 2 1 P B ME I SD: 1.7224 c. M: 2.8302 c. 87: 1 3 1 1 1 3 1 1 1 3 1 1 1 3 1 1 1 3 1 1 3 1 1 1 3 1 1 1 3 1 1 1 3 1 1 1 3 1 1 3 1 1 1 3 1 1 1 3 1 1 1 3 1 1 1 3 1 N B DE I SD: 1.4254 c. M:-2.3422 c. 159: 2 5 2 2 2 5 2 2 2 5 2 2 2 5 2 2 2 5 2 2 5 2 2 2 5 2 2 2 5 2 2 2 5 2 2 2 5 2 2 5 2 2 2 5 2 2 2 5 2 2 2 5 2 2 2 5 2 N B DE I SD: 0.0000 c. M:-0.0000 c.
FIT/HARMONIC
1 .. 2 match: 1 H SD: 0.0000 cents 2 .. 4 match: 2 H SD: 0.0341 cents 3 .. 6 match: 3 H SD: 0.4472 cents 4 .. 8 match: 4 H SD: 0.7811 cents 5 .. 10 match: 5 H SD: 0.5404 cents 6 .. 12 match: 6 H SD: 0.5082 cents 7 .. 14 match: 7 H SD: 2.8387 cents 8 .. 16 match: 8 H SD: 2.9855 cents 9 .. 18 match: 9 H SD: 2.6055 cents 10 .. 20 match: 10 H SD: 1.8434 cents 11 .. 22 match: 11 H SD: 1.4073 cents 12 .. 24 match: 12 H SD: 1.5164 cents 13 .. 26 match: 13 H SD: 2.0702 cents 14 .. 28 match: 14 H SD: 2.2893 cents 15 .. 30 match: 15 H SD: 1.6211 cents 16 .. 32 match: 16 H SD: 1.8870 cents 17 .. 34 match: 17 H SD: 2.2662 cents 18 .. 36 match: 18 H SD: 1.5976 cents 19 .. 38 match: 19 H SD: 1.4290 cents 20 .. 40 match: 20 H SD: 1.5144 cents 21 .. 42 match: 21 H SD: 1.7589 cents 22 .. 44 match: 22 H SD: 1.4311 cents 23 .. 46 match: 23 H SD: 2.1445 cents 24 .. 48 match: 24 H SD: 1.5962 cents 25 .. 50 match: 24 S SD: 1.4883 cents 26 .. 52 match: 25 S SD: 1.4013 cents 27 .. 54 match: 26 S SD: 1.5353 cents 28 .. 56 match: 27 S SD: 1.4698 cents 29 .. 58 match: 29 H SD: 1.8534 cents 30 .. 60 match: 28 SD: 1.1076 cents 31 .. 62 match: 29 SD: 1.3510 cents 32 .. 64 match: 31 S SD: 1.3308 cents 33 .. 66 match: 31 SD: 1.1279 cents 34 .. 68 match: 32 S SD: 1.3534 cents 35 .. 70 match: 34 SD: 1.0791 cents 36 .. 72 match: 33 SD: 0.9680 cents 37 .. 74 match: 32 SD: 0.9512 cents 38 .. 76 match: 37 S SD: 1.1949 cents 39 .. 78 match: 37 S SD: 1.2398 cents 40 .. 80 match: 37 SD: 1.1078 cents 41 .. 82 match: 38 SD: 1.1706 cents 42 .. 84 match: 38 SD: 1.1057 cents 43 .. 86 match: 39 SD: 1.1918 cents 44 .. 88 match: 40 SD: 1.0355 cents 45 .. 90 match: 39 SD: 0.9943 cents 46 .. 92 match: 39 SD: 1.0863 cents 47 .. 94 match: 40 SD: 0.9581 cents 48 .. 96 match: 42 SD: 0.9457 cents 49 .. 98 match: 39 SD: 0.8374 cents 50 .. 100 match: 41 SD: 0.9057 cents 51 .. 102 match: 43 SD: 0.9149 cents 52 .. 104 match: 43 SD: 0.8699 cents 53 .. 106 match: 46 SD: 0.8267 cents 54 .. 108 match: 46 SD: 0.8233 cents 55 .. 110 match: 46 SD: 0.8930 cents 56 .. 112 match: 43 SD: 0.7912 cents 57 .. 114 match: 44 SD: 0.8795 cents 58 .. 116 match: 45 SD: 0.8668 cents 59 .. 118 match: 48 SD: 0.8239 cents 60 .. 120 match: 48 SD: 0.7350 cents 61 .. 122 match: 50 SD: 0.7778 cents 62 .. 124 match: 49 SD: 0.7769 cents 63 .. 126 match: 49 SD: 0.6854 cents 64 .. 128 match: 49 SD: 0.7023 cents 65 .. 130 match: 51 SD: 0.6918 cents 66 .. 132 match: 51 SD: 0.6042 cents 67 .. 134 match: 50 SD: 0.6941 cents 68 .. 136 match: 51 SD: 0.6252 cents 69 .. 138 match: 50 SD: 0.7457 cents 70 .. 140 match: 54 SD: 0.6507 cents 71 .. 142 match: 50 SD: 0.6288 cents 72 .. 144 match: 52 SD: 0.5326 cents 73 .. 146 match: 52 SD: 0.6766 cents 74 .. 148 match: 53 SD: 0.6122 cents 75 .. 150 match: 53 SD: 0.5811 cents 76 .. 152 match: 53 SD: 0.6895 cents 77 .. 154 match: 54 SD: 0.5705 cents 78 .. 156 match: 54 SD: 0.6013 cents 79 .. 158 match: 54 SD: 0.6920 cents 80 .. 160 match: 55 SD: 0.5216 cents 81 .. 162 match: 54 SD: 0.5564 cents 82 .. 164 match: 53 SD: 0.5830 cents 83 .. 166 match: 53 SD: 0.5621 cents 84 .. 168 match: 55 SD: 0.5259 cents 85 .. 170 match: 55 SD: 0.5313 cents 86 .. 172 match: 54 SD: 0.5443 cents 87 .. 174 match: 54 SD: 0.5941 cents 88 .. 176 match: 56 SD: 0.5106 cents 89 .. 178 match: 56 SD: 0.5264 cents 90 .. 180 match: 56 SD: 0.4540 cents 91 .. 182 match: 56 SD: 0.5062 cents 92 .. 184 match: 54 SD: 0.5759 cents 93 .. 186 match: 54 SD: 0.5230 cents 94 .. 188 match: 54 SD: 0.5466 cents 95 .. 190 match: 56 SD: 0.5328 cents 96 .. 192 match: 57 SD: 0.4374 cents 99 .. 198 match: 57 SD: 0.4178 cents 100 .. 200 match: 57 SD: 0.4139 cents 110 .. 220 match: 57 SD: 0.4099 cents 117 .. 234 match: 57 SD: 0.4013 cents 118 .. 236 match: 57 SD: 0.3710 cents 119 .. 238 match: 57 SD: 0.3642 cents 120 .. 240 match: 57 SD: 0.3553 cents 126 .. 252 match: 57 SD: 0.3308 cents 138 .. 276 match: 57 SD: 0.3259 cents 146 .. 292 match: 57 SD: 0.3210 cents 150 .. 300 match: 57 SD: 0.3127 cents 152 .. 304 match: 57 SD: 0.3003 cents 156 .. 312 match: 57 SD: 0.2938 cents 158 .. 316 match: 57 SD: 0.2722 cents 165 .. 330 match: 57 SD: 0.2712 cents 174 .. 348 match: 57 SD: 0.2605 cents 180 .. 360 match: 57 SD: 0.2457 cents 184 .. 368 match: 57 SD: 0.2454 cents 193 .. 386 match: 57 SD: 0.2304 cents 198 .. 396 match: 57 SD: 0.2224 cents 200 .. 400 match: 57 SD: 0.2146 cents 206 .. 412 match: 57 SD: 0.2106 cents 218 .. 436 match: 57 SD: 0.1928 cents 220 .. 440 match: 57 SD: 0.1807 cents 246 .. 492 match: 57 SD: 0.1760 cents 254 .. 508 match: 57 SD: 0.1753 cents 258 .. 516 match: 57 SD: 0.1713 cents 261 .. 522 match: 57 SD: 0.1605 cents 284 .. 568 match: 57 SD: 0.1512 cents 298 .. 596 match: 57 SD: 0.1354 cents 326 .. 652 match: 57 SD: 0.1350 cents 328 .. 656 match: 57 SD: 0.1181 cents 378 .. 756 match: 57 SD: 0.1119 cents 407 .. 814 match: 57 SD: 0.1101 cents 416 .. 832 match: 57 SD: 0.1073 cents 419 .. 838 match: 57 SD: 0.1065 cents 424 .. 848 match: 57 SD: 0.1060 cents 426 .. 852 match: 57 SD: 0.1003 cents 429 .. 858 match: 57 SD: 0.0986 cents 450 .. 900 match: 57 SD: 0.0953 cents 454 .. 908 match: 57 SD: 0.0927 cents 484 .. 968 match: 57 SD: 0.0920 cents 491 .. 982 match: 57 SD: 0.0911 cents 497 .. 994 match: 57 SD: 0.0898 cents 504 .. 1008 match: 57 SD: 0.0867 cents 519 .. 1038 match: 57 SD: 0.0866 cents 526 .. 1052 match: 57 SD: 0.0775 cents 547 .. 1094 match: 57 SD: 0.0771 cents 572 .. 1144 match: 57 SD: 0.0770 cents 582 .. 1164 match: 57 SD: 0.0699 cents