Scala analysis: xen05-secor-high-tolerance
Secor 15-limit high tolerance temperament
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 28.000 cents 28.000000 2: 86.110 cents 86.110000 3: 110.107 cents 110.107000 4: 168.197 cents 168.197000 5: 207.157 cents 207.157000 6: 235.158 cents 235.158000 7: 293.268 cents 293.268000 8: 317.264 cents 317.264000 9: 375.354 cents 375.354000 10: 414.314 cents 414.314000 11: 457.461 cents 457.461000 12: 496.421 cents 496.421000 13: 524.422 cents 524.422000 14: 582.512 cents 582.512000 15: 614.000 cents 614.000000 16: 664.618 cents 664.618000 17: 703.578 cents 703.578000 18: 731.579 cents 731.579000 19: 789.669 cents 789.669000 20: 813.686 cents 813.686000 21: 871.776 cents 871.776000 22: 910.736 cents 910.736000 23: 953.882 cents 953.882000 24: 996.846 cents 996.846000 25: 1020.843 cents 1020.843000 26: 1078.933 cents 1078.933000 27: 1117.893 cents 1117.893000 28: 1161.040 cents 1161.040000 29: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 38.9600 cents 38.9600 1: 28.0000 cents 28.0000 2: 58.1100 cents 58.1100 3: 23.9970 cents 23.9970 4: 58.0900 cents 58.0900 5: 38.9600 cents 38.9600 6: 28.0010 cents 28.0010 7: 58.1100 cents 58.1100 8: 23.9960 cents 23.9960 9: 58.0900 cents 58.0900 10: 38.9600 cents 38.9600 11: 43.1470 cents 43.1470 12: 38.9600 cents 38.9600 13: 28.0010 cents 28.0010 14: 58.0900 cents 58.0900 15: 31.4880 cents 31.4880 16: 50.6180 cents 50.6180 17: 38.9600 cents 38.9600 18: 28.0010 cents 28.0010 19: 58.0900 cents 58.0900 20: 24.0170 cents 24.0170 21: 58.0900 cents 58.0900 22: 38.9600 cents 38.9600 23: 43.1460 cents 43.1460 24: 42.9640 cents 42.9640 25: 23.9970 cents 23.9970 26: 58.0900 cents 58.0900 27: 38.9600 cents 38.9600 28: 43.1470 cents 43.1470 29: 38.9600 cents 38.9600
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 23.99600 cents 1: 2 23.99700 cents 1: 1 24.01700 cents 1: 1 28.00000 cents 1: 3 28.00100 cents 1: 1 31.48800 cents 1: 7 38.96000 cents 1: 1 42.96400 cents 1: 1 43.14600 cents 1: 2 43.14700 cents 1: 1 50.61800 cents 1: 6 58.09000 cents 1: 2 58.11000 cents 2: 1 66.96000 cents 2: 4 66.96100 cents 2: 1 82.08600 cents 2: 2 82.08700 cents 2: 3 82.10600 cents 2: 7 82.10700 cents 2: 2 86.09100 cents 2: 2 86.11000 cents 2: 1 86.11100 cents 2: 2 89.57800 cents 2: 4 97.05000 cents 3: 4 110.10700 cents 3: 2 110.10800 cents 3: 2 117.57900 cents 3: 1 121.04600 cents 3: 2 121.04700 cents 3: 1 121.06600 cents 3: 3 121.06700 cents 3: 4 125.05100 cents 3: 2 125.07000 cents 3: 1 125.07100 cents 3: 3 140.19600 cents 3: 4 140.19700 cents 4: 1 149.04800 cents 4: 5 149.06700 cents 4: 2 149.06800 cents 4: 1 156.53900 cents 4: 1 164.01100 cents 4: 1 164.19300 cents 4: 1 164.19400 cents 4: 1 164.21300 cents 4: 4 168.19700 cents 4: 2 168.19800 cents 4: 1 168.21700 cents 4: 1 175.66900 cents 4: 2 179.15600 cents 4: 4 179.15700 cents 4: 1 183.16000 cents 4: 1 183.16100 cents 5: 1 192.21400 cents 5: 2 199.68600 cents 5: 1 203.15300 cents 5: 1 203.15400 cents 5: 13 207.15700 cents 5: 7 207.15800 cents 5: 2 207.17700 cents 5: 2 222.30300 cents 6: 3 231.15400 cents 6: 3 231.17400 cents 6: 2 235.15800 cents 6: 1 238.64600 cents 6: 4 246.11700 cents 6: 2 246.11800 cents 6: 5 250.30400 cents 6: 1 257.77600 cents 6: 1 261.26300 cents 6: 3 265.24700 cents 6: 1 265.24800 cents 6: 2 265.26700 cents 6: 1 265.26800 cents 7: 3 274.11800 cents 7: 2 289.24400 cents 7: 17 289.26400 cents 7: 1 293.24800 cents 7: 2 293.26800 cents 7: 2 296.73600 cents 7: 2 304.20700 cents 8: 1 313.26100 cents 8: 2 317.26400 cents 8: 5 317.26500 cents 8: 1 320.73200 cents 8: 1 328.20400 cents 8: 6 328.22400 cents 8: 1 332.20800 cents 8: 3 332.22800 cents 8: 1 339.88200 cents 8: 8 347.35400 cents 9: 2 356.22400 cents 9: 6 356.22500 cents 9: 1 371.35000 cents 9: 2 371.35100 cents 9: 1 371.37000 cents 9: 1 371.37100 cents 9: 1 375.35400 cents 9: 4 375.35500 cents 9: 1 375.37400 cents 9: 1 375.37500 cents 9: 1 378.84200 cents 9: 1 382.84600 cents 9: 7 386.31400 cents 10: 2 399.37100 cents 10: 1 399.37200 cents 10: 2 406.84300 cents 10: 1 410.31000 cents 10: 2 410.31100 cents 10: 1 410.33100 cents 10: 3 414.31400 cents 10: 10 414.31500 cents 10: 2 414.33400 cents 10: 1 414.33500 cents 10: 2 429.46000 cents 10: 2 429.46100 cents 11: 1 438.31100 cents 11: 2 438.31200 cents 11: 4 438.33100 cents 11: 1 438.33200 cents 11: 1 445.80300 cents 11: 1 453.27400 cents 11: 3 453.27500 cents 11: 5 457.46100 cents 11: 2 457.46200 cents 11: 1 464.93300 cents 11: 1 468.42000 cents 11: 2 468.42100 cents 11: 2 472.40500 cents 11: 2 472.42400 cents 11: 1 472.42500 cents 12: 1 481.27600 cents 12: 1 496.40100 cents 12: 1 496.40200 cents 12: 15 496.42100 cents 12: 7 496.42200 cents 12: 1 496.44100 cents 12: 1 500.42500 cents 12: 2 503.89300 cents 13: 2 520.41800 cents 13: 1 520.43800 cents 13: 5 524.42200 cents 13: 1 527.89000 cents 13: 5 535.38100 cents 13: 2 535.38200 cents 13: 1 539.38500 cents 13: 1 539.38600 cents 13: 2 539.56800 cents 13: 1 547.04000 cents 13: 5 554.51100 cents 13: 2 554.51200 cents 13: 1 554.53100 cents 14: 6 563.38200 cents 14: 3 578.50800 cents 14: 7 578.52800 cents 14: 3 582.51200 cents 14: 3 582.53200 cents 14: 2 586.00000 cents 14: 4 593.47100 cents 14: 1 593.47200 cents 15: 1 606.52800 cents 15: 4 606.52900 cents 15: 2 614.00000 cents 15: 3 617.46800 cents 15: 3 617.48800 cents 15: 7 621.47200 cents 15: 3 621.49200 cents 15: 6 636.61800 cents 16: 1 645.46900 cents 16: 2 645.48800 cents 16: 5 645.48900 cents 16: 1 652.96000 cents 16: 2 660.43200 cents 16: 1 660.61400 cents 16: 1 660.61500 cents 16: 2 664.61800 cents 16: 5 664.61900 cents 16: 1 672.11000 cents 16: 5 675.57800 cents 16: 1 679.56200 cents 16: 2 679.58200 cents 17: 2 696.10700 cents 17: 1 699.57500 cents 17: 1 703.55900 cents 17: 7 703.57800 cents 17: 15 703.57900 cents 17: 1 703.59800 cents 17: 1 703.59900 cents 17: 1 718.72400 cents 18: 1 727.57500 cents 18: 2 727.57600 cents 18: 2 727.59500 cents 18: 2 731.57900 cents 18: 1 731.58000 cents 18: 1 735.06700 cents 18: 2 742.53800 cents 18: 5 742.53900 cents 18: 3 746.72500 cents 18: 1 746.72600 cents 18: 1 754.19700 cents 18: 1 761.66800 cents 18: 4 761.66900 cents 18: 2 761.68800 cents 18: 1 761.68900 cents 19: 2 770.53900 cents 19: 2 770.54000 cents 19: 1 785.66500 cents 19: 2 785.66600 cents 19: 10 785.68500 cents 19: 3 785.68600 cents 19: 1 789.66900 cents 19: 2 789.68900 cents 19: 1 789.69000 cents 19: 2 793.15700 cents 19: 1 800.62800 cents 19: 2 800.62900 cents 20: 7 813.68600 cents 20: 1 817.15400 cents 20: 1 821.15800 cents 20: 1 824.62500 cents 20: 1 824.62600 cents 20: 4 824.64500 cents 20: 1 824.64600 cents 20: 1 828.62900 cents 20: 1 828.63000 cents 20: 2 828.64900 cents 20: 1 828.65000 cents 20: 6 843.77500 cents 20: 2 843.77600 cents 21: 8 852.64600 cents 21: 1 860.11800 cents 21: 3 867.77200 cents 21: 1 867.79200 cents 21: 6 871.77600 cents 21: 1 871.79600 cents 21: 1 879.26800 cents 21: 5 882.73500 cents 21: 2 882.73600 cents 21: 1 886.73900 cents 22: 2 895.79300 cents 22: 2 903.26400 cents 22: 2 906.73200 cents 22: 1 906.75200 cents 22: 17 910.73600 cents 22: 2 910.75600 cents 22: 3 925.88200 cents 23: 1 934.73200 cents 23: 2 934.73300 cents 23: 1 934.75200 cents 23: 3 934.75300 cents 23: 1 938.73700 cents 23: 1 942.22400 cents 23: 5 949.69600 cents 23: 2 953.88200 cents 23: 4 953.88300 cents 23: 1 961.35400 cents 23: 2 964.84200 cents 23: 3 968.82600 cents 23: 3 968.84600 cents 24: 2 977.69700 cents 24: 2 992.82300 cents 24: 7 992.84200 cents 24: 13 992.84300 cents 24: 1 996.84600 cents 24: 1 996.84700 cents 24: 2 1000.31400 cents 24: 1 1007.78600 cents 25: 1 1016.83900 cents 25: 1 1016.84000 cents 25: 4 1020.84300 cents 25: 2 1020.84400 cents 25: 1 1024.33100 cents 25: 1 1031.78300 cents 25: 2 1031.80200 cents 25: 4 1031.80300 cents 25: 1 1035.78700 cents 25: 1 1035.80600 cents 25: 1 1035.80700 cents 25: 1 1035.98900 cents 25: 1 1043.46100 cents 25: 2 1050.93200 cents 25: 5 1050.93300 cents 25: 1 1050.95200 cents 26: 4 1059.80300 cents 26: 3 1059.80400 cents 26: 1 1074.92900 cents 26: 2 1074.93000 cents 26: 4 1074.94900 cents 26: 3 1078.93300 cents 26: 1 1078.93400 cents 26: 2 1078.95300 cents 26: 1 1078.95400 cents 26: 2 1082.42100 cents 26: 2 1089.89200 cents 26: 4 1089.89300 cents 27: 4 1102.95000 cents 27: 2 1110.42200 cents 27: 1 1113.88900 cents 27: 2 1113.89000 cents 27: 2 1113.90900 cents 27: 7 1117.89300 cents 27: 3 1117.89400 cents 27: 2 1117.91300 cents 27: 1 1117.91400 cents 27: 4 1133.03900 cents 27: 1 1133.04000 cents 28: 2 1141.89000 cents 28: 6 1141.91000 cents 28: 1 1149.38200 cents 28: 2 1156.85300 cents 28: 1 1156.85400 cents 28: 1 1157.03600 cents 28: 7 1161.04000 cents 28: 1 1168.51200 cents 28: 3 1171.99900 cents 28: 1 1172.00000 cents 28: 1 1175.98300 cents 28: 2 1176.00300 cents 28: 1 1176.00400 cents Highest number of different intervals for one interval class: 16 Average number of different intervals per interval class: 11.35714 = 159/14
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 0.0 : 28.0 86.1 110.1 168.2 207.2 235.2 293.3 317.3 375.4 414.3 457.5 496.4 524.4 582.5 614.0 664.6 703.6 731.6 789.7 813.7 871.8 910.7 953.9 996.8 1020.8 1078.9 1117.9 1161.0 1200.0 28.0 : 58.1 82.1 140.2 179.2 207.2 265.3 289.3 347.4 386.3 429.5 468.4 496.4 554.5 586.0 636.6 675.6 703.6 761.7 785.7 843.8 882.7 925.9 968.8 992.8 1050.9 1089.9 1133.0 1172.0 1200.0 86.1 : 24.0 82.1 121.0 149.0 207.2 231.2 289.2 328.2 371.4 410.3 438.3 496.4 527.9 578.5 617.5 645.5 703.6 727.6 785.7 824.6 867.8 910.7 934.7 992.8 1031.8 1074.9 1113.9 1141.9 1200.0 110.1 : 58.1 97.0 125.1 183.2 207.2 265.2 304.2 347.4 386.3 414.3 472.4 503.9 554.5 593.5 621.5 679.6 703.6 761.7 800.6 843.8 886.7 910.7 968.8 1007.8 1050.9 1089.9 1117.9 1176.0 1200.0 168.2 : 39.0 67.0 125.1 149.1 207.2 246.1 289.3 328.2 356.2 414.3 445.8 496.4 535.4 563.4 621.5 645.5 703.6 742.5 785.7 828.6 852.6 910.7 949.7 992.8 1031.8 1059.8 1117.9 1141.9 1200.0 207.2 : 28.0 86.1 110.1 168.2 207.2 250.3 289.3 317.3 375.4 406.8 457.5 496.4 524.4 582.5 606.5 664.6 703.6 746.7 789.7 813.7 871.8 910.7 953.9 992.8 1020.8 1079.0 1103.0 1161.0 1200.0 235.2 : 58.1 82.1 140.2 179.2 222.3 261.3 289.3 347.4 378.8 429.5 468.4 496.4 554.5 578.5 636.6 675.6 718.7 761.7 785.7 843.8 882.7 925.9 964.8 992.8 1051.0 1074.9 1133.0 1172.0 1200.0 293.3 : 24.0 82.1 121.0 164.2 203.2 231.2 289.2 320.7 371.4 410.3 438.3 496.4 520.4 578.5 617.5 660.6 703.6 727.6 785.7 824.6 867.8 906.7 934.7 992.8 1016.8 1074.9 1113.9 1141.9 1200.0 317.3 : 58.1 97.1 140.2 179.2 207.2 265.2 296.7 347.4 386.3 414.3 472.4 496.4 554.5 593.5 636.6 679.6 703.6 761.7 800.6 843.8 882.7 910.7 968.8 992.8 1050.9 1089.9 1117.9 1176.0 1200.0 375.4 : 39.0 82.1 121.1 149.1 207.2 238.6 289.3 328.2 356.2 414.3 438.3 496.4 535.4 578.5 621.5 645.5 703.6 742.5 785.7 824.6 852.6 910.8 934.8 992.8 1031.8 1059.8 1117.9 1141.9 1200.0 414.3 : 43.1 82.1 110.1 168.2 199.7 250.3 289.3 317.3 375.4 399.4 457.5 496.4 539.6 582.5 606.5 664.6 703.6 746.7 785.7 813.7 871.8 895.8 953.9 992.8 1020.8 1079.0 1102.9 1161.0 1200.0 457.5 : 39.0 67.0 125.1 156.5 207.2 246.1 274.1 332.2 356.2 414.3 453.3 496.4 539.4 563.4 621.5 660.4 703.6 742.5 770.5 828.6 852.6 910.7 949.7 977.7 1035.8 1059.8 1117.9 1156.9 1200.0 496.4 : 28.0 86.1 117.6 168.2 207.2 235.2 293.2 317.3 375.4 414.3 457.5 500.4 524.4 582.5 621.5 664.6 703.6 731.6 789.7 813.7 871.8 910.7 938.7 996.8 1020.8 1078.9 1117.9 1161.0 1200.0 524.4 : 58.1 89.6 140.2 179.2 207.2 265.2 289.3 347.4 386.3 429.5 472.4 496.4 554.5 593.5 636.6 675.6 703.6 761.7 785.7 843.8 882.7 910.7 968.8 992.8 1050.9 1089.9 1133.0 1172.0 1200.0 582.5 : 31.5 82.1 121.1 149.1 207.2 231.2 289.3 328.2 371.4 414.3 438.3 496.4 535.4 578.5 617.5 645.5 703.6 727.6 785.7 824.6 852.6 910.8 934.8 992.8 1031.8 1074.9 1113.9 1141.9 1200.0 614.0 : 50.6 89.6 117.6 175.7 199.7 257.8 296.7 339.9 382.8 406.8 464.9 503.9 547.0 586.0 614.0 672.1 696.1 754.2 793.2 821.2 879.3 903.3 961.4 1000.3 1043.5 1082.4 1110.4 1168.5 1200.0 664.6 : 39.0 67.0 125.1 149.1 207.2 246.1 289.3 332.2 356.2 414.3 453.3 496.4 535.4 563.4 621.5 645.5 703.6 742.5 770.5 828.6 852.6 910.7 949.7 992.8 1031.8 1059.8 1117.9 1149.4 1200.0 703.6 : 28.0 86.1 110.1 168.2 207.2 250.3 293.3 317.3 375.4 414.3 457.5 496.4 524.4 582.5 606.5 664.6 703.6 731.6 789.7 813.7 871.8 910.7 953.9 992.8 1020.8 1078.9 1110.4 1161.0 1200.0 731.6 : 58.1 82.1 140.2 179.2 222.3 265.3 289.3 347.4 386.3 429.5 468.4 496.4 554.5 578.5 636.6 675.6 703.6 761.7 785.7 843.8 882.7 925.9 964.8 992.8 1050.9 1082.4 1133.0 1172.0 1200.0 789.7 : 24.0 82.1 121.1 164.2 207.2 231.2 289.3 328.2 371.4 410.3 438.3 496.4 520.4 578.5 617.5 645.5 703.6 727.6 785.7 824.6 867.8 906.8 934.8 992.8 1024.3 1074.9 1113.9 1141.9 1200.0 813.7 : 58.1 97.0 140.2 183.2 207.2 265.2 304.2 347.4 386.3 414.3 472.4 496.4 554.5 593.5 621.5 679.6 703.6 761.7 800.6 843.8 882.7 910.7 968.8 1000.3 1050.9 1089.9 1117.9 1176.0 1200.0 871.8 : 39.0 82.1 125.1 149.1 207.2 246.1 289.3 328.2 356.2 414.3 438.3 496.4 535.4 563.4 621.5 645.5 703.6 742.5 785.7 824.6 852.6 910.7 942.2 992.8 1031.8 1059.8 1117.9 1141.9 1200.0 910.7 : 43.1 86.1 110.1 168.2 207.2 250.3 289.3 317.3 375.4 399.4 457.5 496.4 524.4 582.5 606.5 664.6 703.6 746.7 785.7 813.7 871.8 903.3 953.9 992.8 1020.8 1078.9 1103.0 1161.0 1200.0 953.9 : 43.0 67.0 125.1 164.0 207.2 246.1 274.1 332.2 356.2 414.3 453.3 481.3 539.4 563.4 621.5 660.4 703.6 742.5 770.5 828.6 860.1 910.7 949.7 977.7 1035.8 1059.8 1117.9 1156.9 1200.0 996.8 : 24.0 82.1 121.0 164.2 203.2 231.2 289.3 313.3 371.4 410.3 438.3 496.4 520.4 578.5 617.5 660.6 699.6 727.6 785.7 817.2 867.8 906.7 934.7 992.8 1016.8 1074.9 1113.9 1157.0 1200.0 1020.8: 58.1 97.1 140.2 179.2 207.2 265.3 289.3 347.4 386.3 414.3 472.4 496.4 554.5 593.5 636.6 675.6 703.6 761.7 793.2 843.8 882.7 910.7 968.8 992.8 1050.9 1089.9 1133.0 1176.0 1200.0 1078.9: 39.0 82.1 121.1 149.1 207.2 231.2 289.3 328.2 356.2 414.3 438.3 496.4 535.4 578.5 617.5 645.5 703.6 735.1 785.7 824.6 852.6 910.7 934.8 992.8 1031.8 1074.9 1117.9 1141.9 1200.0 1117.9: 43.1 82.1 110.1 168.2 192.2 250.3 289.3 317.3 375.4 399.4 457.5 496.4 539.6 578.5 606.5 664.6 696.1 746.7 785.7 813.7 871.8 895.8 953.9 992.8 1036.0 1079.0 1102.9 1161.0 1200.0 1161.0: 39.0 67.0 125.1 149.1 207.2 246.1 274.1 332.2 356.2 414.3 453.3 496.4 535.4 563.4 621.5 653.0 703.6 742.5 770.5 828.6 852.6 910.7 949.7 992.8 1035.8 1059.8 1117.9 1156.9 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 23.9960 .. 58.1100 cents 34.11400 cents 23.99600 cents 2: 66.9600 .. 97.0500 cents 30.09000 cents 8.85000 cents 3: 110.1070 .. 140.1970 cents 30.09000 cents 13.05700 cents 4: 149.0480 .. 183.1610 cents 34.11300 cents 8.85100 cents 5: 192.2140 .. 222.3030 cents 30.08900 cents 9.05300 cents 6: 231.1540 .. 265.2680 cents 34.11400 cents 8.85100 cents 7: 274.1180 .. 304.2070 cents 30.08900 cents 8.85000 cents 8: 313.2610 .. 347.3540 cents 34.09300 cents 9.05400 cents 9: 356.2240 .. 386.3140 cents 30.09000 cents 8.87000 cents 10: 399.3710 .. 429.4610 cents 30.09000 cents 13.05700 cents 11: 438.3110 .. 472.4250 cents 34.11400 cents 8.85000 cents 12: 481.2760 .. 503.8930 cents 22.61700 cents 8.85100 cents 13: 520.4180 .. 554.5310 cents 34.11300 cents 16.52500 cents 14: 563.3820 .. 593.4720 cents 30.09000 cents 8.85100 cents 15: 606.5280 .. 636.6180 cents 30.09000 cents 13.05600 cents 16: 645.4690 .. 679.5820 cents 34.11300 cents 8.85100 cents 17: 696.1070 .. 718.7240 cents 22.61700 cents 16.52500 cents 18: 727.5750 .. 761.6890 cents 34.11400 cents 8.85100 cents 19: 770.5390 .. 800.6290 cents 30.09000 cents 8.85000 cents 20: 813.6860 .. 843.7760 cents 30.09000 cents 13.05700 cents 21: 852.6460 .. 886.7390 cents 34.09300 cents 8.87000 cents 22: 895.7930 .. 925.8820 cents 30.08900 cents 9.05400 cents 23: 934.7320 .. 968.8460 cents 34.11400 cents 8.85000 cents 24: 977.6970 .. 1007.7860 cents 30.08900 cents 8.85100 cents 25: 1016.8390 .. 1050.9520 cents 34.11300 cents 9.05300 cents 26: 1059.8030 .. 1089.8930 cents 30.09000 cents 8.85100 cents 27: 1102.9500 .. 1133.0400 cents 30.09000 cents 13.05700 cents 28: 1141.8900 .. 1176.0040 cents 34.11400 cents 8.85000 cents
SHOW DATA
Number of notes : 29 -- Interval properties -- Smallest interval : 23.99600 cents, class 1 Average step (divided formal octave): 41.3793 cents Largest one step interval : 58.11000 cents Average / Smallest step : 1.724425 Largest / Average step : 1.404325 Largest / Smallest step : 2.421654 Median interval of one step : 38.96000 cents, amount: 7 Most common interval of one step : 38.96000 cents, amount: 7 Least squares average step : 41.29133 cents, oct.: 1197.44868 cents Scale is strictly proper Step pattern alph. order: ABCDEFBGDEHEFDIJEFDKDELMCDEHE Step pattern size order : DMBLGEMALGJGELFKGELCLGIHBLGJG Scale is a Constant Structure, by a margin of 8.85000 cents Scale diversity : 1.435462 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.270157 Number of different interval sizes : 318 = 11.35714 / class Number of one step interval sizes : 13 Highest interval variety : 16 Mean interval variety : 11.35714 = 159/14 Median interval variety : 7.5 Lowest interval variety : 7 Smallest interval difference : 0.00100 cents Most common intervals : 289.26400 cents & inv., amount: 17 Most common triad is 0.0 289.264 910.736 cents, amount: 7 Number of recognisable fifths : 29, average 703.4483 cents Number of appreciable fifths : 28, average 702.9027 cents Best fifths form a closed circle Formal octave complements present : 1 = 3.4483% -- Rational properties --
FIT/MODE
29: 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: 7.5120 c. M:-14.0309 c. 41: 1 2 1 2 1 1 2 1 2 1 2 1 1 2 1 2 1 1 2 1 2 1 2 1 1 2 1 2 1 P M ME I SD: 5.1781 c. M:-11.9717 c. 52: 1 3 1 2 2 1 3 1 2 2 2 1 2 2 2 2 1 2 2 1 3 1 2 2 1 3 1 2 2 P D3 SD: 6.6414 c. M: 11.8056 c. 53: 1 3 1 2 2 1 3 1 2 2 2 2 1 3 1 2 2 1 3 1 2 2 2 2 1 2 2 2 2 P D3 S SD: 6.3431 c. M: 14.7821 c. 54: 1 3 1 3 1 2 2 1 3 2 2 1 2 2 2 2 2 1 3 1 2 2 2 2 1 3 1 2 2 N SD: 6.3448 c. M:-10.3310 c. 55: 1 3 1 3 1 2 2 2 2 2 2 2 1 3 1 2 2 2 2 1 3 2 2 2 1 2 2 2 2 P D3 SD: 6.1415 c. M: 10.7934 c. 58: 1 3 1 3 2 1 3 1 3 2 2 2 1 3 2 2 2 1 3 1 3 2 2 2 1 3 2 2 2 P T3 SD: 4.4231 c. M: 7.5718 c. 76: 2 3 2 4 2 2 4 1 4 2 3 2 2 4 2 3 3 1 4 2 3 3 2 3 2 3 3 3 2 N SD: 4.4703 c. M:-7.3811 c. 78: 2 4 1 4 2 2 4 2 3 3 3 2 2 4 2 3 3 2 3 2 4 2 3 3 1 4 3 2 3 P SD: 4.1476 c. M: 7.1938 c. 82: 2 4 2 3 3 2 4 2 4 2 3 3 2 4 2 3 3 2 4 2 4 2 3 3 2 4 2 3 3 P D3 S SD: 3.8507 c. M: 7.2214 c. 83: 2 4 2 4 2 2 4 2 4 3 3 2 2 4 2 4 3 2 4 1 4 3 3 3 2 4 2 3 3 P SD: 4.1303 c. M: 6.7711 c. 86: 2 4 2 4 3 2 4 2 4 3 3 3 2 4 2 4 2 2 5 1 4 3 3 3 2 4 3 3 3 N SD: 3.9320 c. M: 6.6597 c. 87: 2 4 2 4 3 2 4 2 4 3 3 3 2 4 2 4 3 2 4 2 4 3 3 3 2 4 3 3 3 SP T3 SD: 2.4100 c. M: 7.1034 c. 89: 2 4 2 4 3 2 5 2 4 3 3 3 2 4 3 3 3 2 5 1 5 3 3 3 2 4 3 3 3 N SD: 3.8883 c. M: 6.3992 c. 90: 2 4 2 5 3 2 4 2 4 3 3 3 2 5 2 4 3 2 4 2 4 3 4 3 2 4 3 3 3 P SD: 3.5809 c. M:-6.1763 c. 92: 2 5 1 5 3 2 4 2 5 3 3 3 2 5 2 4 3 2 5 1 5 3 3 3 2 5 3 3 3 P SD: 3.3209 c. M: 6.3115 c. 96: 2 5 2 4 4 2 4 2 5 3 4 3 2 5 2 4 3 3 4 2 5 3 3 4 2 4 3 4 3 P SD: 3.5678 c. M:-5.9210 c. 99: 2 5 2 5 3 2 5 2 5 3 4 3 2 5 3 4 3 2 5 2 5 3 4 3 2 5 3 4 3 P SD: 2.4423 c. M: 4.8550 c. 117: 3 5 3 5 4 3 6 2 6 3 5 3 3 6 3 5 4 2 6 2 6 4 4 4 3 5 4 4 4 P SD: 2.8154 c. M:-4.7980 c. 118: 3 5 3 6 3 3 6 2 6 4 4 4 3 5 3 5 4 3 6 2 6 4 4 4 2 6 4 4 4 P SD: 2.7010 c. M: 4.7541 c. 119: 3 6 2 6 4 2 6 2 6 4 4 4 3 6 3 5 4 3 5 3 5 4 5 4 2 6 4 4 4 P SD: 2.8095 c. M: 4.6590 c. 121: 3 6 2 6 4 3 6 2 6 4 4 4 3 6 3 5 4 3 6 2 6 4 4 5 2 6 4 4 4 P SD: 2.0538 c. M:-4.8069 c. 128: 3 6 3 6 4 3 6 3 6 4 5 4 3 6 3 6 4 3 6 3 6 4 5 4 3 6 4 5 4 SP SD: 1.7234 c. M: 4.6250 c. 129: 3 6 3 6 4 3 7 2 6 5 4 4 3 7 3 5 5 3 6 2 7 4 5 4 3 6 4 5 4 P SD: 2.6888 c. M:-4.4064 c. 130: 3 6 3 6 4 3 7 2 7 4 5 4 3 6 4 5 4 3 7 2 6 5 4 5 3 6 4 5 4 P SD: 2.6714 c. M:-4.4615 c. 131: 3 6 3 6 5 3 6 3 6 4 5 4 3 7 3 6 4 3 6 3 6 4 5 5 2 7 4 5 4 P SD: 2.3440 c. M:-4.0843 c. 141: 3 7 3 7 4 4 6 3 7 5 5 4 4 6 4 6 5 3 7 3 6 5 5 5 3 7 4 5 5 P SD: 2.3601 c. M: 3.9063 c. 142: 3 7 3 7 5 3 7 3 6 5 5 5 3 7 4 6 4 4 6 3 7 5 5 5 3 7 4 5 5 P SD: 2.3387 c. M:-4.1106 c. 145: 3 7 3 7 5 3 7 3 7 5 5 5 3 7 4 6 5 3 7 3 7 5 5 5 3 7 5 5 5 SP SD: 2.5665 c. M: 3.7426 c. 147: 3 8 2 8 4 4 7 3 7 5 5 5 3 7 4 6 5 4 7 3 7 5 5 5 3 7 5 5 5 P SD: 2.2487 c. M: 3.9846 c. 152: 4 7 3 7 5 4 7 3 8 4 6 5 3 8 4 6 5 4 7 3 7 5 6 5 3 8 5 5 5 P SD: 2.1505 c. M: 3.7877 c. 154: 4 7 3 8 5 3 8 3 7 5 6 5 3 8 4 6 5 4 7 3 8 5 5 6 3 7 5 6 5 P SD: 2.1994 c. M: 3.6083 c. 155: 4 7 3 8 5 3 8 3 7 6 5 5 4 7 4 7 5 3 8 3 8 5 5 6 3 7 5 6 5 P SD: 2.1349 c. M: 3.8371 c. 159: 4 7 4 7 5 4 8 3 8 5 6 5 3 8 4 7 5 4 8 3 8 5 5 6 3 8 5 6 5 P SD: 2.1126 c. M:-3.6957 c. 160: 4 7 4 7 6 3 8 3 8 5 6 5 4 8 4 7 5 4 7 3 8 5 6 6 3 8 5 6 5 P SD: 2.0945 c. M: 3.6860 c. 161: 4 8 3 8 5 4 7 4 7 6 5 6 3 8 4 7 5 4 8 3 8 5 6 6 3 8 5 6 5 P SD: 2.1462 c. M:-3.3513 c. 162: 4 8 3 8 5 4 8 3 8 5 6 5 4 8 4 7 5 4 8 3 8 5 6 6 3 8 5 6 5 SP SD: 1.8351 c. M:-3.1540 c. 179: 4 9 3 9 6 4 9 3 9 6 6 6 4 9 5 7 6 4 9 3 9 6 6 7 3 9 6 6 6 P SD: 1.4501 c. M: 2.8444 c. 195: 5 9 4 9 7 4 10 4 9 6 7 7 4 10 5 8 6 5 9 4 10 6 7 7 4 9 7 7 6 SP SD: 1.6487 c. M:-2.7692 c. 205: 5 10 4 10 6 5 10 4 10 7 7 7 5 10 5 9 6 5 10 4 10 7 7 7 4 10 7 7 7 P SD: 1.5042 c. M:-2.8539 c. 208: 5 10 4 10 7 5 10 4 10 7 7 7 5 10 5 9 7 5 10 4 10 7 7 8 4 10 7 7 7 SP SD: 1.0035 c. M: 2.4615 c. 220: 5 11 4 11 7 5 11 4 11 7 8 7 5 11 6 9 7 5 11 4 11 7 8 8 4 11 7 8 7 SP SD: 0.9269 c. M:-2.3636 c. 228: 5 11 5 11 7 6 11 4 11 8 8 7 6 11 6 9 8 5 11 5 11 7 8 8 5 11 7 9 7 SP SD: 1.4760 c. M:-2.1179 c. 229: 5 11 5 11 8 5 11 5 11 7 8 8 5 11 6 10 7 6 11 4 11 8 8 8 5 11 7 9 7 SP SD: 1.4153 c. M:-2.4500 c. 237: 6 11 5 11 8 5 12 5 11 8 8 8 6 11 6 10 8 5 12 5 11 8 8 9 5 11 8 8 8 SP SD: 1.3276 c. M: 2.4651 c. 249: 6 12 5 12 8 6 12 5 12 8 9 8 6 12 6 11 8 6 12 5 12 8 9 9 5 12 8 9 8 SP SD: 0.6934 c. M: 1.9518 c. 299: 7 14 6 15 10 7 14 6 15 9 11 10 7 14 8 13 9 7 15 6 14 10 11 10 6 15 10 10 10 SP SD: 1.1657 c. M:-1.9035 c. 302: 7 15 6 14 10 7 15 6 14 10 11 10 7 15 7 13 10 7 15 6 14 10 11 11 6 14 10 11 10 SP SD: 1.0502 c. M: 2.1118 c. 305: 7 15 6 15 10 7 15 6 14 10 11 10 7 15 8 13 10 7 15 6 15 9 11 11 6 15 10 11 10 SP SD: 1.0962 c. M: 1.8835 c. 307: 7 15 6 15 10 7 15 6 15 10 11 10 7 15 8 13 10 7 15 6 15 10 11 11 6 15 10 11 10 SP SD: 0.3528 c. M: 0.6607 c. 336: 8 16 7 16 11 8 16 7 16 11 12 11 8 16 9 14 11 8 16 7 16 11 12 12 7 16 11 12 11 SP SD: 0.3933 c. M:-0.6073 c. 556: 13 27 11 27 18 13 27 11 27 18 20 18 13 27 15 23 18 13 27 11 27 18 20 20 11 27 18 20 18 SP SD: 0.2453 c. M:-1.1079 c. 643: 15 31 13 31 21 15 31 13 31 21 23 21 15 31 17 27 21 15 31 13 31 21 23 23 13 31 21 23 21 SP SD: 0.1625 c. M: 0.2675 c. 950: 22 46 19 46 31 22 46 19 46 31 34 31 22 46 25 40 31 22 46 19 46 31 34 34 19 46 31 34 31 SP SD: 0.1756 c. M: 0.2154 c. 991: 23 48 20 48 32 23 48 20 48 32 36 32 23 48 26 42 32 23 48 20 48 32 36 35 20 48 32 36 32 SP SD: 0.1557 c. M:-0.3057 c. 1112: 26 54 22 54 36 26 54 22 54 36 40 36 26 54 29 47 36 26 54 22 54 36 40 40 22 54 36 40 36 SP SD: 0.1337 c. M:-0.2763 c. 1199: 28 58 24 58 39 28 58 24 58 39 43 39 28 58 31 51 39 28 58 24 58 39 43 43 24 58 39 43 39 SP SD: 0.0984 c. M: 0.4887 c. 1419: 33 69 28 69 46 33 69 28 69 46 51 46 33 69 37 60 46 33 69 28 69 46 51 51 28 69 46 51 46 SP SD: 0.1094 c. M:-0.1942 c. 1448: 34 70 29 70 47 34 70 29 70 47 52 47 34 70 38 61 47 34 70 29 70 47 52 52 29 70 47 52 47 SP SD: 0.0990 c. M:-0.2011 c. 1755: 41 85 35 85 57 41 85 35 85 57 63 57 41 85 46 74 57 41 85 35 85 57 63 63 35 85 57 63 57 SP SD: 0.0373 c. M:-0.0771 c.
FIT/HARMONIC
1 .. 2 match: 1 H SD: 0.0000 cents 2 .. 4 match: 2 H SD: 0.8115 cents 3 .. 6 match: 3 H SD: 4.2290 cents 4 .. 8 match: 4 H SD: 4.6507 cents 5 .. 10 match: 5 H SD: 0.7259 cents 6 .. 12 match: 6 H SD: 6.8187 cents 7 .. 14 match: 7 H SD: 4.5038 cents 8 .. 16 match: 8 H SD: 5.4309 cents 9 .. 18 match: 9 H SD: 5.6135 cents 10 .. 20 match: 10 H SD: 1.1994 cents 11 .. 22 match: 11 H SD: 3.9232 cents 12 .. 24 match: 12 H SD: 4.6054 cents 13 .. 26 match: 13 H SD: 3.6743 cents 14 .. 28 match: 14 H SD: 3.2141 cents 15 .. 30 match: 15 H SD: 1.8395 cents 16 .. 32 match: 16 H SD: 3.4003 cents 17 .. 34 match: 17 H SD: 2.8125 cents 18 .. 36 match: 17 S SD: 3.7212 cents 19 .. 38 match: 19 H SD: 2.7880 cents 20 .. 40 match: 20 H SD: 2.2321 cents 21 .. 42 match: 21 H SD: 2.5194 cents 22 .. 44 match: 22 H SD: 2.6014 cents 23 .. 46 match: 22 SD: 2.2993 cents 24 .. 48 match: 21 SD: 2.9123 cents 25 .. 50 match: 24 SD: 2.6969 cents 26 .. 52 match: 25 S SD: 2.3131 cents 27 .. 54 match: 22 SD: 2.5203 cents 28 .. 56 match: 25 SD: 2.2847 cents 29 .. 58 match: 22 SD: 2.3612 cents 30 .. 60 match: 26 SD: 1.8127 cents 31 .. 62 match: 25 SD: 2.4490 cents 32 .. 64 match: 26 SD: 2.1087 cents 33 .. 66 match: 27 SD: 1.9933 cents 34 .. 68 match: 26 SD: 2.1358 cents 35 .. 70 match: 25 SD: 2.2682 cents 36 .. 72 match: 26 SD: 1.7995 cents 37 .. 74 match: 25 SD: 1.7029 cents 38 .. 76 match: 27 SD: 1.7392 cents 39 .. 78 match: 28 SD: 1.9028 cents 40 .. 80 match: 29 SD: 1.3090 cents 41 .. 82 match: 28 SD: 1.6784 cents 42 .. 84 match: 28 SD: 1.3615 cents 44 .. 88 match: 28 SD: 1.6303 cents 45 .. 90 match: 29 SD: 1.2857 cents 47 .. 94 match: 28 SD: 1.4022 cents 48 .. 96 match: 29 SD: 1.3708 cents 49 .. 98 match: 28 SD: 1.1202 cents 50 .. 100 match: 28 SD: 1.2022 cents 51 .. 102 match: 28 SD: 1.4802 cents 52 .. 104 match: 27 SD: 1.3287 cents 53 .. 106 match: 28 SD: 1.2523 cents 54 .. 108 match: 29 SD: 1.1972 cents 55 .. 110 match: 29 SD: 1.1035 cents 57 .. 114 match: 28 SD: 1.0953 cents 59 .. 118 match: 29 SD: 1.0545 cents 60 .. 120 match: 29 SD: 0.9315 cents 70 .. 140 match: 29 SD: 0.8527 cents 75 .. 150 match: 29 SD: 0.7747 cents 78 .. 156 match: 29 SD: 0.7574 cents 87 .. 174 match: 29 SD: 0.7495 cents 90 .. 180 match: 29 SD: 0.6760 cents 96 .. 192 match: 29 SD: 0.6424 cents 103 .. 206 match: 29 SD: 0.6117 cents 108 .. 216 match: 29 SD: 0.5551 cents 110 .. 220 match: 29 SD: 0.5352 cents 116 .. 232 match: 29 SD: 0.5323 cents 118 .. 236 match: 29 SD: 0.4038 cents 136 .. 272 match: 29 SD: 0.4005 cents 156 .. 312 match: 29 SD: 0.3935 cents 158 .. 316 match: 29 SD: 0.3680 cents 173 .. 346 match: 29 SD: 0.3159 cents 178 .. 356 match: 29 SD: 0.2924 cents 195 .. 390 match: 29 SD: 0.2606 cents 228 .. 456 match: 29 SD: 0.2430 cents 235 .. 470 match: 29 SD: 0.2291 cents 244 .. 488 match: 29 SD: 0.2260 cents 260 .. 520 match: 29 SD: 0.2226 cents 275 .. 550 match: 29 SD: 0.2073 cents 289 .. 578 match: 29 SD: 0.1970 cents 293 .. 586 match: 29 SD: 0.1832 cents 310 .. 620 match: 29 SD: 0.1803 cents 315 .. 630 match: 29 SD: 0.1773 cents 325 .. 650 match: 29 SD: 0.1751 cents 352 .. 704 match: 29 SD: 0.1734 cents 353 .. 706 match: 29 SD: 0.1643 cents 355 .. 710 match: 29 SD: 0.1639 cents 363 .. 726 match: 29 SD: 0.1611 cents 367 .. 734 match: 29 SD: 0.1502 cents 393 .. 786 match: 29 SD: 0.1431 cents 412 .. 824 match: 29 SD: 0.1370 cents 413 .. 826 match: 29 SD: 0.1333 cents 432 .. 864 match: 29 SD: 0.1315 cents 433 .. 866 match: 29 SD: 0.1161 cents 472 .. 944 match: 29 SD: 0.1060 cents 487 .. 974 match: 29 SD: 0.0983 cents 548 .. 1096 match: 29 SD: 0.0971 cents