Scala analysis: xen18-erlich-porcupine-37
22L 15s MOS for Porcupine, L=40.98, s=19.69
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 40.980 cents 40.980000 2: 60.670 cents 60.670000 3: 101.650 cents 101.650000 4: 121.340 cents 121.340000 5: 162.320 cents 162.320000 6: 203.300 cents 203.300000 7: 222.990 cents 222.990000 8: 263.970 cents 263.970000 9: 283.660 cents 283.660000 10: 324.640 cents 324.640000 11: 365.620 cents 365.620000 12: 385.310 cents 385.310000 13: 426.290 cents 426.290000 14: 445.980 cents 445.980000 15: 486.960 cents 486.960000 16: 527.940 cents 527.940000 17: 547.630 cents 547.630000 18: 588.610 cents 588.610000 19: 608.300 cents 608.300000 20: 649.280 cents 649.280000 21: 668.970 cents 668.970000 22: 709.950 cents 709.950000 23: 750.930 cents 750.930000 24: 770.620 cents 770.620000 25: 811.600 cents 811.600000 26: 831.290 cents 831.290000 27: 872.270 cents 872.270000 28: 913.250 cents 913.250000 29: 932.940 cents 932.940000 30: 973.920 cents 973.920000 31: 993.610 cents 993.610000 32: 1034.590 cents 1034.590000 33: 1075.570 cents 1075.570000 34: 1095.260 cents 1095.260000 35: 1136.240 cents 1136.240000 36: 1155.930 cents 1155.930000 37: 1196.910 cents 1196.910000
SHOW/INTERVAL
0: 40.9800 cents 40.9800 1: 40.9800 cents 40.9800 2: 19.6900 cents 19.6900 3: 40.9800 cents 40.9800 4: 19.6900 cents 19.6900 5: 40.9800 cents 40.9800 6: 40.9800 cents 40.9800 7: 19.6900 cents 19.6900 8: 40.9800 cents 40.9800 9: 19.6900 cents 19.6900 10: 40.9800 cents 40.9800 11: 40.9800 cents 40.9800 12: 19.6900 cents 19.6900 13: 40.9800 cents 40.9800 14: 19.6900 cents 19.6900 15: 40.9800 cents 40.9800 16: 40.9800 cents 40.9800 17: 19.6900 cents 19.6900 18: 40.9800 cents 40.9800 19: 19.6900 cents 19.6900 20: 40.9800 cents 40.9800 21: 19.6900 cents 19.6900 22: 40.9800 cents 40.9800 23: 40.9800 cents 40.9800 24: 19.6900 cents 19.6900 25: 40.9800 cents 40.9800 26: 19.6900 cents 19.6900 27: 40.9800 cents 40.9800 28: 40.9800 cents 40.9800 29: 19.6900 cents 19.6900 30: 40.9800 cents 40.9800 31: 19.6900 cents 19.6900 32: 40.9800 cents 40.9800 33: 40.9800 cents 40.9800 34: 19.6900 cents 19.6900 35: 40.9800 cents 40.9800 36: 19.6900 cents 19.6900 37: 40.9800 cents 40.9800
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 15 19.69000 cents 1: 22 40.98000 cents 2: 30 60.67000 cents 2: 7 81.96000 cents 3: 8 80.36000 cents 3: 29 101.65000 cents 4: 23 121.34000 cents 4: 14 142.63000 cents 5: 1 141.03000 cents 5: 36 162.32000 cents 6: 16 182.01000 cents 6: 21 203.30000 cents 7: 31 222.99000 cents 7: 6 244.28000 cents 8: 9 242.68000 cents 8: 28 263.97000 cents 9: 24 283.66000 cents 9: 13 304.95000 cents 10: 2 303.35000 cents 10: 35 324.64000 cents 11: 17 344.33000 cents 11: 20 365.62000 cents 12: 32 385.31000 cents 12: 5 406.60000 cents 13: 10 405.00000 cents 13: 27 426.29000 cents 14: 25 445.98000 cents 14: 12 467.27000 cents 15: 3 465.67000 cents 15: 34 486.96000 cents 16: 18 506.65000 cents 16: 19 527.94000 cents 17: 33 547.63000 cents 17: 4 568.92000 cents 18: 11 567.32000 cents 18: 26 588.61000 cents 19: 26 608.30000 cents 19: 11 629.59000 cents 20: 4 627.99000 cents 20: 33 649.28000 cents 21: 19 668.97000 cents 21: 18 690.26000 cents 22: 34 709.95000 cents 22: 3 731.24000 cents 23: 12 729.64000 cents 23: 25 750.93000 cents 24: 27 770.62000 cents 24: 10 791.91000 cents 25: 5 790.31000 cents 25: 32 811.60000 cents 26: 20 831.29000 cents 26: 17 852.58000 cents 27: 35 872.27000 cents 27: 2 893.56000 cents 28: 13 891.96000 cents 28: 24 913.25000 cents 29: 28 932.94000 cents 29: 9 954.23000 cents 30: 6 952.63000 cents 30: 31 973.92000 cents 31: 21 993.61000 cents 31: 16 1014.90000 cents 32: 36 1034.59000 cents 32: 1 1055.88000 cents 33: 14 1054.28000 cents 33: 23 1075.57000 cents 34: 29 1095.26000 cents 34: 8 1116.55000 cents 35: 7 1114.95000 cents 35: 30 1136.24000 cents 36: 22 1155.93000 cents 36: 15 1177.22000 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 0.0 : 41.0 60.7 101.7 121.3 162.3 203.3 223.0 264.0 283.7 324.6 365.6 385.3 426.3 446.0 487.0 527.9 547.6 588.6 608.3 649.3 669.0 710.0 750.9 770.6 811.6 831.3 872.3 913.2 932.9 973.9 993.6 1034.6 1075.6 1095.3 1136.2 1155.9 1196.9 41.0 : 19.7 60.7 80.4 121.3 162.3 182.0 223.0 242.7 283.7 324.6 344.3 385.3 405.0 446.0 487.0 506.6 547.6 567.3 608.3 628.0 669.0 709.9 729.6 770.6 790.3 831.3 872.3 892.0 932.9 952.6 993.6 1034.6 1054.3 1095.3 1115.0 1155.9 1196.9 60.7 : 41.0 60.7 101.6 142.6 162.3 203.3 223.0 264.0 304.9 324.6 365.6 385.3 426.3 467.3 487.0 527.9 547.6 588.6 608.3 649.3 690.3 709.9 750.9 770.6 811.6 852.6 872.3 913.2 932.9 973.9 1014.9 1034.6 1075.6 1095.3 1136.2 1177.2 1196.9 101.7 : 19.7 60.7 101.7 121.3 162.3 182.0 223.0 264.0 283.7 324.6 344.3 385.3 426.3 446.0 487.0 506.6 547.6 567.3 608.3 649.3 669.0 709.9 729.6 770.6 811.6 831.3 872.3 892.0 932.9 973.9 993.6 1034.6 1054.3 1095.3 1136.2 1155.9 1196.9 121.3 : 41.0 82.0 101.7 142.6 162.3 203.3 244.3 264.0 304.9 324.6 365.6 406.6 426.3 467.3 487.0 527.9 547.6 588.6 629.6 649.3 690.3 709.9 750.9 791.9 811.6 852.6 872.3 913.2 954.2 973.9 1014.9 1034.6 1075.6 1116.5 1136.2 1177.2 1196.9 162.3 : 41.0 60.7 101.7 121.3 162.3 203.3 223.0 264.0 283.7 324.6 365.6 385.3 426.3 446.0 487.0 506.7 547.6 588.6 608.3 649.3 669.0 709.9 750.9 770.6 811.6 831.3 872.3 913.2 932.9 973.9 993.6 1034.6 1075.6 1095.3 1136.2 1155.9 1196.9 203.3 : 19.7 60.7 80.4 121.3 162.3 182.0 223.0 242.7 283.7 324.6 344.3 385.3 405.0 446.0 465.7 506.7 547.6 567.3 608.3 628.0 669.0 709.9 729.6 770.6 790.3 831.3 872.3 892.0 932.9 952.6 993.6 1034.6 1054.3 1095.3 1114.9 1155.9 1196.9 223.0 : 41.0 60.7 101.6 142.6 162.3 203.3 223.0 264.0 304.9 324.6 365.6 385.3 426.3 446.0 487.0 527.9 547.6 588.6 608.3 649.3 690.3 709.9 750.9 770.6 811.6 852.6 872.3 913.2 932.9 973.9 1014.9 1034.6 1075.6 1095.3 1136.2 1177.2 1196.9 264.0 : 19.7 60.7 101.6 121.3 162.3 182.0 223.0 264.0 283.7 324.6 344.3 385.3 405.0 446.0 487.0 506.7 547.6 567.3 608.3 649.3 669.0 709.9 729.6 770.6 811.6 831.3 872.3 892.0 932.9 973.9 993.6 1034.6 1054.3 1095.3 1136.2 1155.9 1196.9 283.7 : 41.0 82.0 101.7 142.6 162.3 203.3 244.3 264.0 304.9 324.6 365.6 385.3 426.3 467.3 487.0 527.9 547.6 588.6 629.6 649.3 690.3 709.9 750.9 791.9 811.6 852.6 872.3 913.3 954.2 973.9 1014.9 1034.6 1075.6 1116.6 1136.2 1177.2 1196.9 324.6 : 41.0 60.7 101.7 121.3 162.3 203.3 223.0 264.0 283.7 324.6 344.3 385.3 426.3 446.0 487.0 506.6 547.6 588.6 608.3 649.3 669.0 709.9 750.9 770.6 811.6 831.3 872.3 913.2 932.9 973.9 993.6 1034.6 1075.6 1095.3 1136.2 1155.9 1196.9 365.6 : 19.7 60.7 80.4 121.3 162.3 182.0 223.0 242.7 283.7 303.4 344.3 385.3 405.0 446.0 465.7 506.7 547.6 567.3 608.3 628.0 669.0 709.9 729.6 770.6 790.3 831.3 872.3 892.0 932.9 952.6 993.6 1034.6 1054.3 1095.3 1114.9 1155.9 1196.9 385.3 : 41.0 60.7 101.7 142.6 162.3 203.3 223.0 264.0 283.7 324.6 365.6 385.3 426.3 446.0 487.0 527.9 547.6 588.6 608.3 649.3 690.3 710.0 750.9 770.6 811.6 852.6 872.3 913.3 932.9 973.9 1014.9 1034.6 1075.6 1095.3 1136.2 1177.2 1196.9 426.3 : 19.7 60.7 101.7 121.3 162.3 182.0 223.0 242.7 283.7 324.6 344.3 385.3 405.0 446.0 487.0 506.7 547.6 567.3 608.3 649.3 669.0 709.9 729.6 770.6 811.6 831.3 872.3 892.0 932.9 973.9 993.6 1034.6 1054.3 1095.3 1136.2 1155.9 1196.9 446.0 : 41.0 82.0 101.7 142.6 162.3 203.3 223.0 264.0 304.9 324.6 365.6 385.3 426.3 467.3 487.0 527.9 547.6 588.6 629.6 649.3 690.3 710.0 750.9 791.9 811.6 852.6 872.3 913.2 954.2 973.9 1014.9 1034.6 1075.6 1116.6 1136.2 1177.2 1196.9 487.0 : 41.0 60.7 101.6 121.3 162.3 182.0 223.0 264.0 283.7 324.6 344.3 385.3 426.3 446.0 487.0 506.6 547.6 588.6 608.3 649.3 669.0 709.9 750.9 770.6 811.6 831.3 872.3 913.3 932.9 973.9 993.6 1034.6 1075.6 1095.3 1136.2 1155.9 1196.9 527.9 : 19.7 60.7 80.4 121.3 141.0 182.0 223.0 242.7 283.7 303.3 344.3 385.3 405.0 446.0 465.7 506.6 547.6 567.3 608.3 628.0 669.0 709.9 729.6 770.6 790.3 831.3 872.3 892.0 932.9 952.6 993.6 1034.6 1054.3 1095.3 1114.9 1155.9 1196.9 547.6 : 41.0 60.7 101.7 121.3 162.3 203.3 223.0 264.0 283.7 324.6 365.6 385.3 426.3 446.0 487.0 527.9 547.6 588.6 608.3 649.3 690.3 710.0 750.9 770.6 811.6 852.6 872.3 913.3 932.9 973.9 1014.9 1034.6 1075.6 1095.3 1136.2 1177.2 1196.9 588.6 : 19.7 60.7 80.4 121.3 162.3 182.0 223.0 242.7 283.7 324.6 344.3 385.3 405.0 446.0 487.0 506.7 547.6 567.3 608.3 649.3 669.0 710.0 729.6 770.6 811.6 831.3 872.3 892.0 932.9 973.9 993.6 1034.6 1054.3 1095.3 1136.2 1155.9 1196.9 608.3 : 41.0 60.7 101.7 142.6 162.3 203.3 223.0 264.0 304.9 324.6 365.6 385.3 426.3 467.3 487.0 527.9 547.6 588.6 629.6 649.3 690.3 710.0 750.9 791.9 811.6 852.6 872.3 913.3 954.2 973.9 1014.9 1034.6 1075.6 1116.6 1136.2 1177.2 1196.9 649.3 : 19.7 60.7 101.7 121.3 162.3 182.0 223.0 264.0 283.7 324.6 344.3 385.3 426.3 446.0 487.0 506.7 547.6 588.6 608.3 649.3 669.0 709.9 750.9 770.6 811.6 831.3 872.3 913.2 932.9 973.9 993.6 1034.6 1075.6 1095.3 1136.2 1155.9 1196.9 669.0 : 41.0 82.0 101.6 142.6 162.3 203.3 244.3 264.0 304.9 324.6 365.6 406.6 426.3 467.3 487.0 527.9 568.9 588.6 629.6 649.3 690.3 731.2 750.9 791.9 811.6 852.6 893.6 913.2 954.2 973.9 1014.9 1055.9 1075.6 1116.5 1136.2 1177.2 1196.9 710.0 : 41.0 60.7 101.6 121.3 162.3 203.3 223.0 264.0 283.7 324.6 365.6 385.3 426.3 446.0 487.0 527.9 547.6 588.6 608.3 649.3 690.3 709.9 750.9 770.6 811.6 852.6 872.3 913.2 932.9 973.9 1014.9 1034.6 1075.6 1095.3 1136.2 1155.9 1196.9 750.9 : 19.7 60.7 80.4 121.3 162.3 182.0 223.0 242.7 283.7 324.6 344.3 385.3 405.0 446.0 487.0 506.7 547.6 567.3 608.3 649.3 669.0 710.0 729.6 770.6 811.6 831.3 872.3 892.0 932.9 973.9 993.6 1034.6 1054.3 1095.3 1115.0 1155.9 1196.9 770.6 : 41.0 60.7 101.6 142.6 162.3 203.3 223.0 264.0 304.9 324.6 365.6 385.3 426.3 467.3 487.0 527.9 547.6 588.6 629.6 649.3 690.3 709.9 750.9 791.9 811.6 852.6 872.3 913.2 954.2 973.9 1014.9 1034.6 1075.6 1095.3 1136.2 1177.2 1196.9 811.6 : 19.7 60.7 101.7 121.3 162.3 182.0 223.0 264.0 283.7 324.6 344.3 385.3 426.3 446.0 487.0 506.7 547.6 588.6 608.3 649.3 669.0 709.9 750.9 770.6 811.6 831.3 872.3 913.3 932.9 973.9 993.6 1034.6 1054.3 1095.3 1136.2 1155.9 1196.9 831.3 : 41.0 82.0 101.7 142.6 162.3 203.3 244.3 264.0 304.9 324.6 365.6 406.6 426.3 467.3 487.0 527.9 568.9 588.6 629.6 649.3 690.3 731.2 750.9 791.9 811.6 852.6 893.6 913.3 954.2 973.9 1014.9 1034.6 1075.6 1116.6 1136.2 1177.2 1196.9 872.3 : 41.0 60.7 101.7 121.3 162.3 203.3 223.0 264.0 283.7 324.6 365.6 385.3 426.3 446.0 487.0 527.9 547.6 588.6 608.3 649.3 690.3 709.9 750.9 770.6 811.6 852.6 872.3 913.3 932.9 973.9 993.6 1034.6 1075.6 1095.3 1136.2 1155.9 1196.9 913.2 : 19.7 60.7 80.4 121.3 162.3 182.0 223.0 242.7 283.7 324.6 344.3 385.3 405.0 446.0 487.0 506.7 547.6 567.3 608.3 649.3 669.0 709.9 729.6 770.6 811.6 831.3 872.3 892.0 932.9 952.6 993.6 1034.6 1054.3 1095.3 1115.0 1155.9 1196.9 932.9 : 41.0 60.7 101.6 142.6 162.3 203.3 223.0 264.0 304.9 324.6 365.6 385.3 426.3 467.3 487.0 527.9 547.6 588.6 629.6 649.3 690.3 709.9 750.9 791.9 811.6 852.6 872.3 913.2 932.9 973.9 1014.9 1034.6 1075.6 1095.3 1136.2 1177.2 1196.9 973.9 : 19.7 60.7 101.6 121.3 162.3 182.0 223.0 264.0 283.7 324.6 344.3 385.3 426.3 446.0 487.0 506.6 547.6 588.6 608.3 649.3 669.0 710.0 750.9 770.6 811.6 831.3 872.3 892.0 932.9 973.9 993.6 1034.6 1054.3 1095.3 1136.2 1155.9 1196.9 993.6 : 41.0 82.0 101.7 142.6 162.3 203.3 244.3 264.0 305.0 324.6 365.6 406.6 426.3 467.3 487.0 527.9 568.9 588.6 629.6 649.3 690.3 731.2 750.9 791.9 811.6 852.6 872.3 913.3 954.2 973.9 1014.9 1034.6 1075.6 1116.6 1136.2 1177.2 1196.9 1034.6: 41.0 60.7 101.6 121.3 162.3 203.3 223.0 264.0 283.7 324.6 365.6 385.3 426.3 446.0 487.0 527.9 547.6 588.6 608.3 649.3 690.3 709.9 750.9 770.6 811.6 831.3 872.3 913.3 932.9 973.9 993.6 1034.6 1075.6 1095.3 1136.2 1155.9 1196.9 1075.6: 19.7 60.7 80.4 121.3 162.3 182.0 223.0 242.7 283.7 324.6 344.3 385.3 405.0 446.0 487.0 506.7 547.6 567.3 608.3 649.3 669.0 710.0 729.6 770.6 790.3 831.3 872.3 892.0 932.9 952.6 993.6 1034.6 1054.3 1095.3 1115.0 1155.9 1196.9 1095.3: 41.0 60.7 101.7 142.6 162.3 203.3 223.0 264.0 305.0 324.6 365.6 385.3 426.3 467.3 487.0 527.9 547.6 588.6 629.6 649.3 690.3 709.9 750.9 770.6 811.6 852.6 872.3 913.2 932.9 973.9 1014.9 1034.6 1075.6 1095.3 1136.2 1177.2 1196.9 1136.2: 19.7 60.7 101.7 121.3 162.3 182.0 223.0 264.0 283.7 324.6 344.3 385.3 426.3 446.0 487.0 506.7 547.6 588.6 608.3 649.3 669.0 710.0 729.6 770.6 811.6 831.3 872.3 892.0 932.9 973.9 993.6 1034.6 1054.3 1095.3 1136.2 1155.9 1196.9 1155.9: 41.0 82.0 101.7 142.6 162.3 203.3 244.3 264.0 304.9 324.6 365.6 406.6 426.3 467.3 487.0 527.9 568.9 588.6 629.6 649.3 690.3 709.9 750.9 791.9 811.6 852.6 872.3 913.2 954.2 973.9 1014.9 1034.6 1075.6 1116.5 1136.2 1177.2 1196.9 1196.9
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 19.6900 .. 40.9800 cents 21.29000 cents 19.69000 cents 2: 60.6700 .. 81.9600 cents 21.29000 cents 19.69000 cents 3: 80.3600 .. 101.6500 cents 21.29000 cents -1.60000 cents 4: 121.3400 .. 142.6300 cents 21.29000 cents 19.69000 cents 5: 141.0300 .. 162.3200 cents 21.29000 cents -1.60000 cents 6: 182.0100 .. 203.3000 cents 21.29000 cents 19.69000 cents 7: 222.9900 .. 244.2800 cents 21.29000 cents 19.69000 cents 8: 242.6800 .. 263.9700 cents 21.29000 cents -1.60000 cents 9: 283.6600 .. 304.9500 cents 21.29000 cents 19.69000 cents 10: 303.3500 .. 324.6400 cents 21.29000 cents -1.60000 cents 11: 344.3300 .. 365.6200 cents 21.29000 cents 19.69000 cents 12: 385.3100 .. 406.6000 cents 21.29000 cents 19.69000 cents 13: 405.0000 .. 426.2900 cents 21.29000 cents -1.60000 cents 14: 445.9800 .. 467.2700 cents 21.29000 cents 19.69000 cents 15: 465.6700 .. 486.9600 cents 21.29000 cents -1.60000 cents 16: 506.6500 .. 527.9400 cents 21.29000 cents 19.69000 cents 17: 547.6300 .. 568.9200 cents 21.29000 cents 19.69000 cents 18: 567.3200 .. 588.6100 cents 21.29000 cents -1.60000 cents 19: 608.3000 .. 629.5900 cents 21.29000 cents 19.69000 cents 20: 627.9900 .. 649.2800 cents 21.29000 cents -1.60000 cents 21: 668.9700 .. 690.2600 cents 21.29000 cents 19.69000 cents 22: 709.9500 .. 731.2400 cents 21.29000 cents 19.69000 cents 23: 729.6400 .. 750.9300 cents 21.29000 cents -1.60000 cents 24: 770.6200 .. 791.9100 cents 21.29000 cents 19.69000 cents 25: 790.3100 .. 811.6000 cents 21.29000 cents -1.60000 cents 26: 831.2900 .. 852.5800 cents 21.29000 cents 19.69000 cents 27: 872.2700 .. 893.5600 cents 21.29000 cents 19.69000 cents 28: 891.9600 .. 913.2500 cents 21.29000 cents -1.60000 cents 29: 932.9400 .. 954.2300 cents 21.29000 cents 19.69000 cents 30: 952.6300 .. 973.9200 cents 21.29000 cents -1.60000 cents 31: 993.6100 .. 1014.9000 cents 21.29000 cents 19.69000 cents 32: 1034.5900 .. 1055.8800 cents 21.29000 cents 19.69000 cents 33: 1054.2800 .. 1075.5700 cents 21.29000 cents -1.60000 cents 34: 1095.2600 .. 1116.5500 cents 21.29000 cents 19.69000 cents 35: 1114.9500 .. 1136.2400 cents 21.29000 cents -1.60000 cents 36: 1155.9300 .. 1177.2200 cents 21.29000 cents 19.69000 cents
SHOW DATA
Number of notes : 37 -- Interval properties -- Smallest interval : 19.69000 cents, class 1 Average step (divided formal octave): 32.3489 cents Largest one step interval : 40.98000 cents Average / Smallest step : 1.642911 Largest / Average step : 1.266812 Largest / Smallest step : 2.081260 Median interval of one step : 40.98000 cents, amount: 22 Most common interval of one step : 40.98000 cents, amount: 22 Least squares average step : 32.32590 cents, oct.: 1196.05840 cents Scale is not proper Scale has Myhill's property chromas: 21.29000 cents and 1.60000 cents, ratio: 13.306250 generators: 5 of 162.32000 cents and 32 of 1034.59000 cents ET pair of linear temperament : 15&22 Scale is distributional even Scale is a mode of a 2249-tone equal temperament with octave 1196.910 cents degrees: 77 114 191 228 305 382 419 496 533 610 687 724 801 838 915 992 1029 1106 1143 1220 1257 1334 1411 1448 1525 1562 1639 1716 1753 1830 1867 1944 2021 2058 2135 2172 2249 generators: 305 and 1944 Number of contiguous 1-step segments: 0 Step pattern alph. order: ABABAABABAABABAABABABAABABAABABAABABA Step pattern size order : LSLSLLSLSLLSLSLLSLSLSLLSLSLLSLSLLSLSL Scale is a Constant Structure, by a margin of 1.60000 cents Scale diversity : 1.140380 Lumma stability : 0.378366 Lumma impropriety factor : 0.018715 Rothenberg efficiency : 0.684685 redundancy: 0.315315 Efficiency x scale size : 25.333333 Number of different interval sizes : 72 = 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 : 1.60000 cents Most common intervals : 162.32000 cents & inv., amount: 36 Scale is a chain of 18 triads 0.0 527.940 1034.590 cents Most common triad is 0.0 162.320 1034.590 cents, amount: 35 Number of recognisable fifths : 52, average 703.1342 cents Number of recognisable fourths : 52, average 493.7758 cents Scale contains two identical disjunct "tetrachords" of 16 notes Best major thirds form a closed circle Best minor thirds form a closed circle Formal octave complements present : 37 = 100.0000% 2/1 octave complements present : 0 = 0.0000% Inversional symmetry on degrees : 0 Inversional symmetry on intervals : 18-19 -- Rational properties --
FIT/MODE
37: 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: 6.1436 c. M: 10.3573 c. 58: 2 1 2 1 2 2 1 2 1 2 2 1 2 1 2 2 1 2 0 2 1 2 2 1 2 1 2 2 1 2 1 2 2 1 2 1 2 N T3 I SD: 5.9082 c. M:-9.8450 c. 59: 2 1 2 1 2 2 1 2 1 2 2 1 2 1 2 2 1 2 1 2 1 2 2 1 2 1 2 2 1 2 1 2 2 1 2 1 2 P M ME I SD: 0.2895 c. M: 0.4881 c. 376: 13 6 13 6 13 13 6 13 6 13 13 6 13 6 13 13 6 13 6 13 6 13 13 6 13 6 13 13 6 13 6 13 13 6 13 6 13 N M DE I SD: 0.2865 c. M: 0.4830 c. 435: 15 7 15 7 15 15 7 15 7 15 15 7 15 7 15 15 7 15 7 15 7 15 15 7 15 7 15 15 7 15 7 15 15 7 15 7 15 N M DE I SD: 0.2084 c. M: 0.3513 c. 494: 17 8 17 8 17 17 8 17 8 17 17 8 17 8 17 17 8 17 8 17 8 17 17 8 17 8 17 17 8 17 8 17 17 8 17 8 17 N M DE I SD: 0.1489 c. M:-0.2511 c. 553: 19 9 19 9 19 19 9 19 9 19 19 9 19 9 19 19 9 19 9 19 9 19 19 9 19 9 19 19 9 19 9 19 19 9 19 9 19 N M DE I SD: 0.1021 c. M: 0.1722 c. 612: 21 10 21 10 21 21 10 21 10 21 21 10 21 10 21 21 10 21 10 21 10 21 21 10 21 10 21 21 10 21 10 21 21 10 21 10 21 N M DE I SD: 0.0644 c. M:-0.1085 c. 671: 23 11 23 11 23 23 11 23 11 23 23 11 23 11 23 23 11 23 11 23 11 23 23 11 23 11 23 23 11 23 11 23 23 11 23 11 23 N M DE I SD: 0.0333 c. M:-0.0561 c. 730: 25 12 25 12 25 25 12 25 12 25 25 12 25 12 25 25 12 25 12 25 12 25 25 12 25 12 25 25 12 25 12 25 25 12 25 12 25 N M DE I SD: 0.0072 c. M: 0.0121 c. 1519: 52 25 52 25 52 52 25 52 25 52 52 25 52 25 52 52 25 52 25 52 25 52 52 25 52 25 52 52 25 52 25 52 52 25 52 25 52 N M DE I SD: 0.0044 c. M: 0.0073 c. 2249: 77 37 77 37 77 77 37 77 37 77 77 37 77 37 77 77 37 77 37 77 37 77 77 37 77 37 77 77 37 77 37 77 77 37 77 37 77 N M DE I SD: 0.0006 c. M: 0.0010 c.
FIT/HARMONIC
1 .. 2 match: 1 H SD: 3.0900 cents 2 .. 4 match: 2 H SD: 4.2857 cents 3 .. 6 match: 3 H SD: 5.5634 cents 4 .. 8 match: 4 H SD: 2.5053 cents 5 .. 10 match: 5 H SD: 4.1029 cents 6 .. 12 match: 6 H SD: 3.9761 cents 7 .. 14 match: 7 H SD: 2.8364 cents 8 .. 16 match: 8 H SD: 1.9709 cents 9 .. 18 match: 9 H SD: 3.9222 cents 10 .. 20 match: 10 H SD: 2.9033 cents 11 .. 22 match: 11 H SD: 3.1326 cents 12 .. 24 match: 12 H SD: 2.9778 cents 13 .. 26 match: 13 H SD: 2.7650 cents 14 .. 28 match: 14 H SD: 2.0986 cents 15 .. 30 match: 15 H SD: 2.7412 cents 16 .. 32 match: 16 H SD: 2.2302 cents 17 .. 34 match: 17 H SD: 1.7621 cents 18 .. 36 match: 18 H SD: 2.5589 cents 19 .. 38 match: 19 H SD: 2.9213 cents 20 .. 40 match: 20 H SD: 2.1399 cents 21 .. 42 match: 21 H SD: 2.3731 cents 22 .. 44 match: 22 H SD: 2.0369 cents 23 .. 46 match: 23 H SD: 2.4196 cents 24 .. 48 match: 24 H SD: 1.8194 cents 25 .. 50 match: 24 SD: 1.9258 cents 26 .. 52 match: 26 H SD: 2.1628 cents 27 .. 54 match: 27 H SD: 1.9942 cents 28 .. 56 match: 28 H SD: 1.6399 cents 29 .. 58 match: 28 SD: 1.7052 cents 30 .. 60 match: 25 SD: 1.7107 cents 31 .. 62 match: 26 SD: 1.7799 cents 32 .. 64 match: 28 SD: 1.5998 cents 33 .. 66 match: 30 SD: 1.7878 cents 34 .. 68 match: 29 S SD: 1.6936 cents 35 .. 70 match: 33 S SD: 1.6936 cents 36 .. 72 match: 30 SD: 1.7347 cents 37 .. 74 match: 32 SD: 1.4608 cents 38 .. 76 match: 29 SD: 1.4563 cents 39 .. 78 match: 31 SD: 1.4037 cents 40 .. 80 match: 34 SD: 1.2900 cents 41 .. 82 match: 30 SD: 1.5191 cents 42 .. 84 match: 33 SD: 1.2942 cents 43 .. 86 match: 35 SD: 1.2461 cents 44 .. 88 match: 34 SD: 1.2716 cents 45 .. 90 match: 33 SD: 1.3124 cents 46 .. 92 match: 31 SD: 1.4195 cents 47 .. 94 match: 32 SD: 1.2885 cents 48 .. 96 match: 36 SD: 1.2062 cents 49 .. 98 match: 34 SD: 1.0752 cents 50 .. 100 match: 36 SD: 0.9889 cents 51 .. 102 match: 35 SD: 1.1754 cents 52 .. 104 match: 34 SD: 1.0168 cents 53 .. 106 match: 35 SD: 1.0037 cents 54 .. 108 match: 34 SD: 1.0953 cents 55 .. 110 match: 36 SD: 0.9634 cents 56 .. 112 match: 36 SD: 1.1436 cents 57 .. 114 match: 37 SD: 0.9374 cents 58 .. 116 match: 34 SD: 1.0821 cents 59 .. 118 match: 36 SD: 0.9139 cents 60 .. 120 match: 36 SD: 1.0645 cents 61 .. 122 match: 35 SD: 0.9532 cents 62 .. 124 match: 36 SD: 0.9707 cents 63 .. 126 match: 36 SD: 1.0643 cents 64 .. 128 match: 35 SD: 0.8284 cents 65 .. 130 match: 36 SD: 0.8825 cents 66 .. 132 match: 35 SD: 0.9640 cents 67 .. 134 match: 36 SD: 0.8298 cents 68 .. 136 match: 36 SD: 0.8215 cents 69 .. 138 match: 35 SD: 0.9105 cents 70 .. 140 match: 35 SD: 0.9254 cents 71 .. 142 match: 37 SD: 0.8605 cents 72 .. 144 match: 37 SD: 0.7207 cents 75 .. 150 match: 36 SD: 0.8561 cents 77 .. 154 match: 37 SD: 0.8367 cents 78 .. 156 match: 37 SD: 0.7253 cents 79 .. 158 match: 37 SD: 0.6160 cents 81 .. 162 match: 37 SD: 0.5595 cents 102 .. 204 match: 37 SD: 0.5349 cents 110 .. 220 match: 37 SD: 0.5077 cents 111 .. 222 match: 37 SD: 0.4855 cents 112 .. 224 match: 37 SD: 0.4535 cents 121 .. 242 match: 37 SD: 0.4450 cents 123 .. 246 match: 37 SD: 0.4391 cents 132 .. 264 match: 37 SD: 0.4384 cents 135 .. 270 match: 37 SD: 0.4221 cents 136 .. 272 match: 37 SD: 0.3671 cents 151 .. 301 match: 37 SD: 0.3590 cents 160 .. 319 match: 37 SD: 0.3543 cents 161 .. 321 match: 37 SD: 0.3422 cents 164 .. 327 match: 37 SD: 0.3095 cents 169 .. 337 match: 37 SD: 0.2943 cents 180 .. 359 match: 37 SD: 0.2917 cents 193 .. 385 match: 37 SD: 0.2713 cents 197 .. 393 match: 37 SD: 0.2685 cents 204 .. 407 match: 37 SD: 0.2474 cents 218 .. 435 match: 37 SD: 0.2375 cents 225 .. 449 match: 37 SD: 0.2270 cents 246 .. 491 match: 37 SD: 0.2205 cents 247 .. 493 match: 37 SD: 0.2079 cents 248 .. 495 match: 37 SD: 0.2052 cents 252 .. 503 match: 37 SD: 0.2006 cents 276 .. 551 match: 37 SD: 0.1857 cents 286 .. 571 match: 37 SD: 0.1722 cents 314 .. 627 match: 37 SD: 0.1581 cents 330 .. 659 match: 37 SD: 0.1580 cents 333 .. 665 match: 37 SD: 0.1455 cents 344 .. 687 match: 37 SD: 0.1445 cents 378 .. 755 match: 37 SD: 0.1430 cents 387 .. 773 match: 37 SD: 0.1423 cents 400 .. 799 match: 37 SD: 0.1387 cents 401 .. 801 match: 37 SD: 0.1339 cents 409 .. 817 match: 37 SD: 0.1280 cents 416 .. 831 match: 37 SD: 0.1197 cents 449 .. 896 match: 37 SD: 0.1134 cents 466 .. 930 match: 37 SD: 0.1036 cents 499 .. 996 match: 37 SD: 0.0995 cents 510 .. 1018 match: 37 SD: 0.0973 cents 511 .. 1020 match: 37 SD: 0.0961 cents 538 .. 1074 match: 37 SD: 0.0948 cents 539 .. 1076 match: 37 SD: 0.0943 cents 578 .. 1154 match: 37 SD: 0.0830 cents