Scala analysis: xen18-erlich-passion-37
12L 25s MOS for Passion, L=63.38, s=17.51
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 17.510 cents 17.510000 2: 80.890 cents 80.890000 3: 98.400 cents 98.400000 4: 115.910 cents 115.910000 5: 179.290 cents 179.290000 6: 196.800 cents 196.800000 7: 214.310 cents 214.310000 8: 277.690 cents 277.690000 9: 295.200 cents 295.200000 10: 312.710 cents 312.710000 11: 376.090 cents 376.090000 12: 393.600 cents 393.600000 13: 411.110 cents 411.110000 14: 474.490 cents 474.490000 15: 492.000 cents 492.000000 16: 509.510 cents 509.510000 17: 572.890 cents 572.890000 18: 590.400 cents 590.400000 19: 607.910 cents 607.910000 20: 625.420 cents 625.420000 21: 688.800 cents 688.800000 22: 706.310 cents 706.310000 23: 723.820 cents 723.820000 24: 787.200 cents 787.200000 25: 804.710 cents 804.710000 26: 822.220 cents 822.220000 27: 885.600 cents 885.600000 28: 903.110 cents 903.110000 29: 920.620 cents 920.620000 30: 984.000 cents 984.000000 31: 1001.510 cents 1001.510000 32: 1019.020 cents 1019.020000 33: 1082.400 cents 1082.400000 34: 1099.910 cents 1099.910000 35: 1117.420 cents 1117.420000 36: 1180.800 cents 1180.800000 37: 1198.310 cents 1198.310000
SHOW/INTERVAL
0: 17.5100 cents 17.5100 1: 17.5100 cents 17.5100 2: 63.3800 cents 63.3800 3: 17.5100 cents 17.5100 4: 17.5100 cents 17.5100 5: 63.3800 cents 63.3800 6: 17.5100 cents 17.5100 7: 17.5100 cents 17.5100 8: 63.3800 cents 63.3800 9: 17.5100 cents 17.5100 10: 17.5100 cents 17.5100 11: 63.3800 cents 63.3800 12: 17.5100 cents 17.5100 13: 17.5100 cents 17.5100 14: 63.3800 cents 63.3800 15: 17.5100 cents 17.5100 16: 17.5100 cents 17.5100 17: 63.3800 cents 63.3800 18: 17.5100 cents 17.5100 19: 17.5100 cents 17.5100 20: 17.5100 cents 17.5100 21: 63.3800 cents 63.3800 22: 17.5100 cents 17.5100 23: 17.5100 cents 17.5100 24: 63.3800 cents 63.3800 25: 17.5100 cents 17.5100 26: 17.5100 cents 17.5100 27: 63.3800 cents 63.3800 28: 17.5100 cents 17.5100 29: 17.5100 cents 17.5100 30: 63.3800 cents 63.3800 31: 17.5100 cents 17.5100 32: 17.5100 cents 17.5100 33: 63.3800 cents 63.3800 34: 17.5100 cents 17.5100 35: 17.5100 cents 17.5100 36: 63.3800 cents 63.3800 37: 17.5100 cents 17.5100
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 25 17.51000 cents 1: 12 63.38000 cents 2: 13 35.02000 cents 2: 24 80.89000 cents 3: 1 52.53000 cents 3: 36 98.40000 cents 4: 26 115.91000 cents 4: 11 161.78000 cents 5: 14 133.42000 cents 5: 23 179.29000 cents 6: 2 150.93000 cents 6: 35 196.80000 cents 7: 27 214.31000 cents 7: 10 260.18000 cents 8: 15 231.82000 cents 8: 22 277.69000 cents 9: 3 249.33000 cents 9: 34 295.20000 cents 10: 28 312.71000 cents 10: 9 358.58000 cents 11: 16 330.22000 cents 11: 21 376.09000 cents 12: 4 347.73000 cents 12: 33 393.60000 cents 13: 29 411.11000 cents 13: 8 456.98000 cents 14: 17 428.62000 cents 14: 20 474.49000 cents 15: 5 446.13000 cents 15: 32 492.00000 cents 16: 30 509.51000 cents 16: 7 555.38000 cents 17: 18 527.02000 cents 17: 19 572.89000 cents 18: 6 544.53000 cents 18: 31 590.40000 cents 19: 31 607.91000 cents 19: 6 653.78000 cents 20: 19 625.42000 cents 20: 18 671.29000 cents 21: 7 642.93000 cents 21: 30 688.80000 cents 22: 32 706.31000 cents 22: 5 752.18000 cents 23: 20 723.82000 cents 23: 17 769.69000 cents 24: 8 741.33000 cents 24: 29 787.20000 cents 25: 33 804.71000 cents 25: 4 850.58000 cents 26: 21 822.22000 cents 26: 16 868.09000 cents 27: 9 839.73000 cents 27: 28 885.60000 cents 28: 34 903.11000 cents 28: 3 948.98000 cents 29: 22 920.62000 cents 29: 15 966.49000 cents 30: 10 938.13000 cents 30: 27 984.00000 cents 31: 35 1001.51000 cents 31: 2 1047.38000 cents 32: 23 1019.02000 cents 32: 14 1064.89000 cents 33: 11 1036.53000 cents 33: 26 1082.40000 cents 34: 36 1099.91000 cents 34: 1 1145.78000 cents 35: 24 1117.42000 cents 35: 13 1163.29000 cents 36: 12 1134.93000 cents 36: 25 1180.80000 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 : 17.5 80.9 98.4 115.9 179.3 196.8 214.3 277.7 295.2 312.7 376.1 393.6 411.1 474.5 492.0 509.5 572.9 590.4 607.9 625.4 688.8 706.3 723.8 787.2 804.7 822.2 885.6 903.1 920.6 984.0 1001.5 1019.0 1082.4 1099.9 1117.4 1180.8 1198.3 17.5 : 63.4 80.9 98.4 161.8 179.3 196.8 260.2 277.7 295.2 358.6 376.1 393.6 457.0 474.5 492.0 555.4 572.9 590.4 607.9 671.3 688.8 706.3 769.7 787.2 804.7 868.1 885.6 903.1 966.5 984.0 1001.5 1064.9 1082.4 1099.9 1163.3 1180.8 1198.3 80.9 : 17.5 35.0 98.4 115.9 133.4 196.8 214.3 231.8 295.2 312.7 330.2 393.6 411.1 428.6 492.0 509.5 527.0 544.5 607.9 625.4 642.9 706.3 723.8 741.3 804.7 822.2 839.7 903.1 920.6 938.1 1001.5 1019.0 1036.5 1099.9 1117.4 1134.9 1198.3 98.4 : 17.5 80.9 98.4 115.9 179.3 196.8 214.3 277.7 295.2 312.7 376.1 393.6 411.1 474.5 492.0 509.5 527.0 590.4 607.9 625.4 688.8 706.3 723.8 787.2 804.7 822.2 885.6 903.1 920.6 984.0 1001.5 1019.0 1082.4 1099.9 1117.4 1180.8 1198.3 115.9 : 63.4 80.9 98.4 161.8 179.3 196.8 260.2 277.7 295.2 358.6 376.1 393.6 457.0 474.5 492.0 509.5 572.9 590.4 607.9 671.3 688.8 706.3 769.7 787.2 804.7 868.1 885.6 903.1 966.5 984.0 1001.5 1064.9 1082.4 1099.9 1163.3 1180.8 1198.3 179.3 : 17.5 35.0 98.4 115.9 133.4 196.8 214.3 231.8 295.2 312.7 330.2 393.6 411.1 428.6 446.1 509.5 527.0 544.5 607.9 625.4 642.9 706.3 723.8 741.3 804.7 822.2 839.7 903.1 920.6 938.1 1001.5 1019.0 1036.5 1099.9 1117.4 1134.9 1198.3 196.8 : 17.5 80.9 98.4 115.9 179.3 196.8 214.3 277.7 295.2 312.7 376.1 393.6 411.1 428.6 492.0 509.5 527.0 590.4 607.9 625.4 688.8 706.3 723.8 787.2 804.7 822.2 885.6 903.1 920.6 984.0 1001.5 1019.0 1082.4 1099.9 1117.4 1180.8 1198.3 214.3 : 63.4 80.9 98.4 161.8 179.3 196.8 260.2 277.7 295.2 358.6 376.1 393.6 411.1 474.5 492.0 509.5 572.9 590.4 607.9 671.3 688.8 706.3 769.7 787.2 804.7 868.1 885.6 903.1 966.5 984.0 1001.5 1064.9 1082.4 1099.9 1163.3 1180.8 1198.3 277.7 : 17.5 35.0 98.4 115.9 133.4 196.8 214.3 231.8 295.2 312.7 330.2 347.7 411.1 428.6 446.1 509.5 527.0 544.5 607.9 625.4 642.9 706.3 723.8 741.3 804.7 822.2 839.7 903.1 920.6 938.1 1001.5 1019.0 1036.5 1099.9 1117.4 1134.9 1198.3 295.2 : 17.5 80.9 98.4 115.9 179.3 196.8 214.3 277.7 295.2 312.7 330.2 393.6 411.1 428.6 492.0 509.5 527.0 590.4 607.9 625.4 688.8 706.3 723.8 787.2 804.7 822.2 885.6 903.1 920.6 984.0 1001.5 1019.0 1082.4 1099.9 1117.4 1180.8 1198.3 312.7 : 63.4 80.9 98.4 161.8 179.3 196.8 260.2 277.7 295.2 312.7 376.1 393.6 411.1 474.5 492.0 509.5 572.9 590.4 607.9 671.3 688.8 706.3 769.7 787.2 804.7 868.1 885.6 903.1 966.5 984.0 1001.5 1064.9 1082.4 1099.9 1163.3 1180.8 1198.3 376.1 : 17.5 35.0 98.4 115.9 133.4 196.8 214.3 231.8 249.3 312.7 330.2 347.7 411.1 428.6 446.1 509.5 527.0 544.5 607.9 625.4 642.9 706.3 723.8 741.3 804.7 822.2 839.7 903.1 920.6 938.1 1001.5 1019.0 1036.5 1099.9 1117.4 1134.9 1198.3 393.6 : 17.5 80.9 98.4 115.9 179.3 196.8 214.3 231.8 295.2 312.7 330.2 393.6 411.1 428.6 492.0 509.5 527.0 590.4 607.9 625.4 688.8 706.3 723.8 787.2 804.7 822.2 885.6 903.1 920.6 984.0 1001.5 1019.0 1082.4 1099.9 1117.4 1180.8 1198.3 411.1 : 63.4 80.9 98.4 161.8 179.3 196.8 214.3 277.7 295.2 312.7 376.1 393.6 411.1 474.5 492.0 509.5 572.9 590.4 607.9 671.3 688.8 706.3 769.7 787.2 804.7 868.1 885.6 903.1 966.5 984.0 1001.5 1064.9 1082.4 1099.9 1163.3 1180.8 1198.3 474.5 : 17.5 35.0 98.4 115.9 133.4 150.9 214.3 231.8 249.3 312.7 330.2 347.7 411.1 428.6 446.1 509.5 527.0 544.5 607.9 625.4 642.9 706.3 723.8 741.3 804.7 822.2 839.7 903.1 920.6 938.1 1001.5 1019.0 1036.5 1099.9 1117.4 1134.9 1198.3 492.0 : 17.5 80.9 98.4 115.9 133.4 196.8 214.3 231.8 295.2 312.7 330.2 393.6 411.1 428.6 492.0 509.5 527.0 590.4 607.9 625.4 688.8 706.3 723.8 787.2 804.7 822.2 885.6 903.1 920.6 984.0 1001.5 1019.0 1082.4 1099.9 1117.4 1180.8 1198.3 509.5 : 63.4 80.9 98.4 115.9 179.3 196.8 214.3 277.7 295.2 312.7 376.1 393.6 411.1 474.5 492.0 509.5 572.9 590.4 607.9 671.3 688.8 706.3 769.7 787.2 804.7 868.1 885.6 903.1 966.5 984.0 1001.5 1064.9 1082.4 1099.9 1163.3 1180.8 1198.3 572.9 : 17.5 35.0 52.5 115.9 133.4 150.9 214.3 231.8 249.3 312.7 330.2 347.7 411.1 428.6 446.1 509.5 527.0 544.5 607.9 625.4 642.9 706.3 723.8 741.3 804.7 822.2 839.7 903.1 920.6 938.1 1001.5 1019.0 1036.5 1099.9 1117.4 1134.9 1198.3 590.4 : 17.5 35.0 98.4 115.9 133.4 196.8 214.3 231.8 295.2 312.7 330.2 393.6 411.1 428.6 492.0 509.5 527.0 590.4 607.9 625.4 688.8 706.3 723.8 787.2 804.7 822.2 885.6 903.1 920.6 984.0 1001.5 1019.0 1082.4 1099.9 1117.4 1180.8 1198.3 607.9 : 17.5 80.9 98.4 115.9 179.3 196.8 214.3 277.7 295.2 312.7 376.1 393.6 411.1 474.5 492.0 509.5 572.9 590.4 607.9 671.3 688.8 706.3 769.7 787.2 804.7 868.1 885.6 903.1 966.5 984.0 1001.5 1064.9 1082.4 1099.9 1163.3 1180.8 1198.3 625.4 : 63.4 80.9 98.4 161.8 179.3 196.8 260.2 277.7 295.2 358.6 376.1 393.6 457.0 474.5 492.0 555.4 572.9 590.4 653.8 671.3 688.8 752.2 769.7 787.2 850.6 868.1 885.6 949.0 966.5 984.0 1047.4 1064.9 1082.4 1145.8 1163.3 1180.8 1198.3 688.8 : 17.5 35.0 98.4 115.9 133.4 196.8 214.3 231.8 295.2 312.7 330.2 393.6 411.1 428.6 492.0 509.5 527.0 590.4 607.9 625.4 688.8 706.3 723.8 787.2 804.7 822.2 885.6 903.1 920.6 984.0 1001.5 1019.0 1082.4 1099.9 1117.4 1134.9 1198.3 706.3 : 17.5 80.9 98.4 115.9 179.3 196.8 214.3 277.7 295.2 312.7 376.1 393.6 411.1 474.5 492.0 509.5 572.9 590.4 607.9 671.3 688.8 706.3 769.7 787.2 804.7 868.1 885.6 903.1 966.5 984.0 1001.5 1064.9 1082.4 1099.9 1117.4 1180.8 1198.3 723.8 : 63.4 80.9 98.4 161.8 179.3 196.8 260.2 277.7 295.2 358.6 376.1 393.6 457.0 474.5 492.0 555.4 572.9 590.4 653.8 671.3 688.8 752.2 769.7 787.2 850.6 868.1 885.6 949.0 966.5 984.0 1047.4 1064.9 1082.4 1099.9 1163.3 1180.8 1198.3 787.2 : 17.5 35.0 98.4 115.9 133.4 196.8 214.3 231.8 295.2 312.7 330.2 393.6 411.1 428.6 492.0 509.5 527.0 590.4 607.9 625.4 688.8 706.3 723.8 787.2 804.7 822.2 885.6 903.1 920.6 984.0 1001.5 1019.0 1036.5 1099.9 1117.4 1134.9 1198.3 804.7 : 17.5 80.9 98.4 115.9 179.3 196.8 214.3 277.7 295.2 312.7 376.1 393.6 411.1 474.5 492.0 509.5 572.9 590.4 607.9 671.3 688.8 706.3 769.7 787.2 804.7 868.1 885.6 903.1 966.5 984.0 1001.5 1019.0 1082.4 1099.9 1117.4 1180.8 1198.3 822.2 : 63.4 80.9 98.4 161.8 179.3 196.8 260.2 277.7 295.2 358.6 376.1 393.6 457.0 474.5 492.0 555.4 572.9 590.4 653.8 671.3 688.8 752.2 769.7 787.2 850.6 868.1 885.6 949.0 966.5 984.0 1001.5 1064.9 1082.4 1099.9 1163.3 1180.8 1198.3 885.6 : 17.5 35.0 98.4 115.9 133.4 196.8 214.3 231.8 295.2 312.7 330.2 393.6 411.1 428.6 492.0 509.5 527.0 590.4 607.9 625.4 688.8 706.3 723.8 787.2 804.7 822.2 885.6 903.1 920.6 938.1 1001.5 1019.0 1036.5 1099.9 1117.4 1134.9 1198.3 903.1 : 17.5 80.9 98.4 115.9 179.3 196.8 214.3 277.7 295.2 312.7 376.1 393.6 411.1 474.5 492.0 509.5 572.9 590.4 607.9 671.3 688.8 706.3 769.7 787.2 804.7 868.1 885.6 903.1 920.6 984.0 1001.5 1019.0 1082.4 1099.9 1117.4 1180.8 1198.3 920.6 : 63.4 80.9 98.4 161.8 179.3 196.8 260.2 277.7 295.2 358.6 376.1 393.6 457.0 474.5 492.0 555.4 572.9 590.4 653.8 671.3 688.8 752.2 769.7 787.2 850.6 868.1 885.6 903.1 966.5 984.0 1001.5 1064.9 1082.4 1099.9 1163.3 1180.8 1198.3 984.0 : 17.5 35.0 98.4 115.9 133.4 196.8 214.3 231.8 295.2 312.7 330.2 393.6 411.1 428.6 492.0 509.5 527.0 590.4 607.9 625.4 688.8 706.3 723.8 787.2 804.7 822.2 839.7 903.1 920.6 938.1 1001.5 1019.0 1036.5 1099.9 1117.4 1134.9 1198.3 1001.5: 17.5 80.9 98.4 115.9 179.3 196.8 214.3 277.7 295.2 312.7 376.1 393.6 411.1 474.5 492.0 509.5 572.9 590.4 607.9 671.3 688.8 706.3 769.7 787.2 804.7 822.2 885.6 903.1 920.6 984.0 1001.5 1019.0 1082.4 1099.9 1117.4 1180.8 1198.3 1019.0: 63.4 80.9 98.4 161.8 179.3 196.8 260.2 277.7 295.2 358.6 376.1 393.6 457.0 474.5 492.0 555.4 572.9 590.4 653.8 671.3 688.8 752.2 769.7 787.2 804.7 868.1 885.6 903.1 966.5 984.0 1001.5 1064.9 1082.4 1099.9 1163.3 1180.8 1198.3 1082.4: 17.5 35.0 98.4 115.9 133.4 196.8 214.3 231.8 295.2 312.7 330.2 393.6 411.1 428.6 492.0 509.5 527.0 590.4 607.9 625.4 688.8 706.3 723.8 741.3 804.7 822.2 839.7 903.1 920.6 938.1 1001.5 1019.0 1036.5 1099.9 1117.4 1134.9 1198.3 1099.9: 17.5 80.9 98.4 115.9 179.3 196.8 214.3 277.7 295.2 312.7 376.1 393.6 411.1 474.5 492.0 509.5 572.9 590.4 607.9 671.3 688.8 706.3 723.8 787.2 804.7 822.2 885.6 903.1 920.6 984.0 1001.5 1019.0 1082.4 1099.9 1117.4 1180.8 1198.3 1117.4: 63.4 80.9 98.4 161.8 179.3 196.8 260.2 277.7 295.2 358.6 376.1 393.6 457.0 474.5 492.0 555.4 572.9 590.4 653.8 671.3 688.8 706.3 769.7 787.2 804.7 868.1 885.6 903.1 966.5 984.0 1001.5 1064.9 1082.4 1099.9 1163.3 1180.8 1198.3 1180.8: 17.5 35.0 98.4 115.9 133.4 196.8 214.3 231.8 295.2 312.7 330.2 393.6 411.1 428.6 492.0 509.5 527.0 590.4 607.9 625.4 642.9 706.3 723.8 741.3 804.7 822.2 839.7 903.1 920.6 938.1 1001.5 1019.0 1036.5 1099.9 1117.4 1134.9 1198.3 1198.3
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 17.5100 .. 63.3800 cents 45.87000 cents 17.51000 cents 2: 35.0200 .. 80.8900 cents 45.87000 cents -28.36000 cents 3: 52.5300 .. 98.4000 cents 45.87000 cents -28.36000 cents 4: 115.9100 .. 161.7800 cents 45.87000 cents 17.51000 cents 5: 133.4200 .. 179.2900 cents 45.87000 cents -28.36000 cents 6: 150.9300 .. 196.8000 cents 45.87000 cents -28.36000 cents 7: 214.3100 .. 260.1800 cents 45.87000 cents 17.51000 cents 8: 231.8200 .. 277.6900 cents 45.87000 cents -28.36000 cents 9: 249.3300 .. 295.2000 cents 45.87000 cents -28.36000 cents 10: 312.7100 .. 358.5800 cents 45.87000 cents 17.51000 cents 11: 330.2200 .. 376.0900 cents 45.87000 cents -28.36000 cents 12: 347.7300 .. 393.6000 cents 45.87000 cents -28.36000 cents 13: 411.1100 .. 456.9800 cents 45.87000 cents 17.51000 cents 14: 428.6200 .. 474.4900 cents 45.87000 cents -28.36000 cents 15: 446.1300 .. 492.0000 cents 45.87000 cents -28.36000 cents 16: 509.5100 .. 555.3800 cents 45.87000 cents 17.51000 cents 17: 527.0200 .. 572.8900 cents 45.87000 cents -28.36000 cents 18: 544.5300 .. 590.4000 cents 45.87000 cents -28.36000 cents 19: 607.9100 .. 653.7800 cents 45.87000 cents 17.51000 cents 20: 625.4200 .. 671.2900 cents 45.87000 cents -28.36000 cents 21: 642.9300 .. 688.8000 cents 45.87000 cents -28.36000 cents 22: 706.3100 .. 752.1800 cents 45.87000 cents 17.51000 cents 23: 723.8200 .. 769.6900 cents 45.87000 cents -28.36000 cents 24: 741.3300 .. 787.2000 cents 45.87000 cents -28.36000 cents 25: 804.7100 .. 850.5800 cents 45.87000 cents 17.51000 cents 26: 822.2200 .. 868.0900 cents 45.87000 cents -28.36000 cents 27: 839.7300 .. 885.6000 cents 45.87000 cents -28.36000 cents 28: 903.1100 .. 948.9800 cents 45.87000 cents 17.51000 cents 29: 920.6200 .. 966.4900 cents 45.87000 cents -28.36000 cents 30: 938.1300 .. 984.0000 cents 45.87000 cents -28.36000 cents 31: 1001.5100 .. 1047.3800 cents 45.87000 cents 17.51000 cents 32: 1019.0200 .. 1064.8900 cents 45.87000 cents -28.36000 cents 33: 1036.5300 .. 1082.4000 cents 45.87000 cents -28.36000 cents 34: 1099.9100 .. 1145.7800 cents 45.87000 cents 17.51000 cents 35: 1117.4200 .. 1163.2900 cents 45.87000 cents -28.36000 cents 36: 1134.9300 .. 1180.8000 cents 45.87000 cents -28.36000 cents
SHOW DATA
Number of notes : 37 -- Interval properties -- Smallest interval : 17.51000 cents, class 1 Average step (divided formal octave): 32.3868 cents Largest one step interval : 63.38000 cents Average / Smallest step : 1.849615 Largest / Average step : 1.956973 Largest / Smallest step : 3.619646 Median interval of one step : 17.51000 cents, amount: 25 Most common interval of one step : 17.51000 cents, amount: 25 Least squares average step : 32.34761 cents, oct.: 1196.86147 cents Scale is not proper Scale has Myhill's property chromas: 45.87000 cents and 28.36000 cents, ratio: 1.617419 generators: 3 of 98.40000 cents and 34 of 1099.91000 cents ET pair of linear temperament : 12&61 Scale is distributional even Scale is a mode of a 1437-tone equal temperament with octave 1198.310 cents degrees: 21 97 118 139 215 236 257 333 354 375 451 472 493 569 590 611 687 708 729 750 826 847 868 944 965 986 1062 1083 1104 1180 1201 1222 1298 1319 1340 1416 1437 generators: 118 and 1319 Number of contiguous 1-step segments: 0 Step pattern alph. order: ABAABAABAABAABAABAAABAABAABAABAABAABA Step pattern size order : SLSSLSSLSSLSSLSSLSSSLSSLSSLSSLSSLSSLS Scale is a Constant Structure, by a margin of 10.85000 cents Scale diversity : 1.182774 Lumma stability : 0.189959 Lumma impropriety factor : 0.459347 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 : 10.85000 cents Most common intervals : 98.40000 cents & inv., amount: 36 Scale is a chain of 18 triads 0.0 572.890 1099.910 cents Most common triad is 0.0 98.400 1099.910 cents, amount: 35 Number of recognisable fifths : 62, average 697.8374 cents Number of appreciable fifths : 32, average 706.3100 cents Number of recognisable fourths : 62, average 500.4726 cents Scale contains two identical disjunct "tetrachords" of 16 notes 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: 0 2 1 0 2 1 0 2 1 0 2 1 0 2 1 0 2 1 0 1 2 0 1 2 0 1 2 1 0 2 1 0 2 1 0 2 1 N T3 SD: 15.5672 c. M: 27.4278 c. 38: 1 2 0 1 2 0 1 2 0 1 2 0 1 2 1 0 2 1 0 1 2 0 1 2 1 0 2 1 0 2 1 0 2 1 0 2 1 N I SD: 8.7033 c. M: 15.1863 c. 39: 1 2 0 1 2 0 1 2 1 0 2 1 0 2 1 1 2 0 1 0 2 1 1 2 0 1 2 0 1 2 1 0 2 1 0 2 1 N I SD: 8.9574 c. M: 13.6015 c. 40: 1 2 0 1 2 1 0 2 1 0 3 0 1 2 0 1 2 1 0 1 2 1 0 2 1 0 3 0 1 2 0 1 2 1 0 2 1 N I SD: 8.4066 c. M: 13.3608 c. 42: 1 2 0 1 2 1 1 2 0 1 2 1 0 3 0 1 2 1 0 1 2 1 0 3 0 1 2 1 0 2 1 1 2 1 0 2 1 N I SD: 8.0253 c. M:-13.9395 c. 44: 1 2 1 0 3 0 1 2 1 0 3 0 1 2 1 1 2 1 0 1 2 1 1 2 1 0 3 0 1 2 1 0 3 0 1 2 1 N I SD: 7.7678 c. M:-13.1325 c. 45: 1 2 1 0 3 0 1 2 1 1 2 1 0 3 0 1 3 0 1 0 3 1 0 3 0 1 2 1 1 2 1 0 3 0 1 2 1 N I SD: 7.8734 c. M: 12.9504 c. 46: 1 2 1 0 3 1 0 3 0 1 2 1 1 2 1 1 2 1 0 1 2 1 1 2 1 1 2 1 0 3 0 1 3 0 1 2 1 N I SD: 7.3607 c. M: 11.7091 c. 48: 1 2 1 1 2 1 1 2 1 1 2 1 0 3 1 0 3 1 0 1 3 0 1 3 0 1 2 1 1 2 1 1 2 1 1 2 1 N I SD: 6.9255 c. M:-11.8323 c. 49: 1 2 1 1 2 1 1 2 1 1 2 1 1 2 1 1 2 1 1 1 2 1 1 2 1 1 2 1 1 2 1 1 2 1 1 2 1 P M ME I SD: 6.1796 c. M:-10.4180 c. 56: 1 3 1 0 3 1 1 3 1 1 3 0 1 3 1 1 3 1 0 1 3 1 1 3 1 0 3 1 1 3 1 1 3 0 1 3 1 N I SD: 6.0028 c. M: 9.0811 c. 58: 1 3 1 1 3 1 0 3 1 1 3 1 1 3 1 1 3 1 0 1 3 1 1 3 1 1 3 1 1 3 0 1 3 1 1 3 1 N I SD: 5.8051 c. M:-9.8052 c. 60: 1 3 1 1 3 1 1 3 1 1 3 1 1 3 1 0 4 1 0 1 3 1 1 3 1 1 3 1 1 3 1 1 3 1 1 3 1 N SD: 5.3967 c. M: 10.2142 c. 61: 1 3 1 1 3 1 1 3 1 1 3 1 1 3 1 1 3 1 1 1 3 1 1 3 1 1 3 1 1 3 1 1 3 1 1 3 1 N M DE I SD: 1.8991 c. M:-3.2016 c. 73: 1 4 1 1 4 1 1 4 1 1 4 1 1 4 1 1 4 1 1 1 4 1 1 4 1 1 4 1 1 4 1 1 4 1 1 4 1 N M DE I SD: 0.9741 c. M:-1.6422 c. 134: 2 7 2 2 7 2 2 7 2 2 7 2 2 7 2 2 7 2 2 2 7 2 2 7 2 2 7 2 2 7 2 2 7 2 2 7 2 N M DE I SD: 0.3339 c. M:-0.5628 c. 207: 3 11 3 3 11 3 3 11 3 3 11 3 3 11 3 3 11 3 3 3 11 3 3 11 3 3 11 3 3 11 3 3 11 3 3 11 3 N M DE I SD: 0.1274 c. M: 0.2148 c. 341: 5 18 5 5 18 5 5 18 5 5 18 5 5 18 5 5 18 5 5 5 18 5 5 18 5 5 18 5 5 18 5 5 18 5 5 18 5 N M DE I SD: 0.0539 c. M:-0.0908 c. 548: 8 29 8 8 29 8 8 29 8 8 29 8 8 29 8 8 29 8 8 8 29 8 8 29 8 8 29 8 8 29 8 8 29 8 8 29 8 N M DE I SD: 0.0146 c. M:-0.0246 c. 889: 13 47 13 13 47 13 13 47 13 13 47 13 13 47 13 13 47 13 13 13 47 13 13 47 13 13 47 13 13 47 13 13 47 13 13 47 13 N M DE I SD: 0.0116 c. M: 0.0196 c. 1437: 21 76 21 21 76 21 21 76 21 21 76 21 21 76 21 21 76 21 21 21 76 21 21 76 21 21 76 21 21 76 21 21 76 21 21 76 21 N M DE I SD: 0.0016 c. M: 0.0028 c.
FIT/HARMONIC
1 .. 2 match: 1 H SD: 1.6900 cents 2 .. 4 match: 2 H SD: 2.3357 cents 3 .. 6 match: 3 H SD: 2.1328 cents 4 .. 8 match: 4 H SD: 4.3672 cents 5 .. 10 match: 5 H SD: 2.4374 cents 6 .. 12 match: 6 H SD: 5.5218 cents 7 .. 14 match: 7 H SD: 4.9857 cents 8 .. 16 match: 8 H SD: 4.3133 cents 9 .. 18 match: 9 H SD: 4.3403 cents 10 .. 20 match: 10 H SD: 2.8728 cents 11 .. 22 match: 11 H SD: 6.3765 cents 12 .. 24 match: 12 H SD: 3.7894 cents 13 .. 26 match: 13 H SD: 4.7374 cents 14 .. 28 match: 14 H SD: 4.0656 cents 15 .. 30 match: 15 H SD: 3.4727 cents 16 .. 32 match: 16 H SD: 3.0330 cents 17 .. 34 match: 16 S SD: 3.2597 cents 18 .. 36 match: 16 S SD: 3.0042 cents 19 .. 38 match: 16 S SD: 3.4460 cents 20 .. 40 match: 18 S SD: 3.0197 cents 21 .. 42 match: 20 S SD: 2.4864 cents 22 .. 44 match: 18 SD: 3.0983 cents 23 .. 46 match: 21 SD: 2.5883 cents 24 .. 48 match: 20 SD: 2.6286 cents 25 .. 50 match: 23 SD: 2.4399 cents 26 .. 52 match: 21 SD: 2.0586 cents 27 .. 54 match: 20 SD: 2.1765 cents 28 .. 56 match: 24 SD: 2.4808 cents 29 .. 58 match: 25 SD: 1.9565 cents 30 .. 60 match: 24 SD: 1.9664 cents 31 .. 62 match: 23 SD: 2.0940 cents 32 .. 64 match: 23 SD: 1.9987 cents 33 .. 66 match: 22 SD: 1.5092 cents 34 .. 68 match: 23 SD: 1.5568 cents 35 .. 70 match: 26 SD: 1.9348 cents 36 .. 72 match: 26 SD: 1.8237 cents 37 .. 74 match: 27 SD: 1.7812 cents 38 .. 76 match: 27 SD: 1.7199 cents 39 .. 78 match: 27 SD: 1.7420 cents 40 .. 80 match: 25 SD: 1.6520 cents 41 .. 82 match: 28 SD: 1.4008 cents 42 .. 84 match: 29 SD: 1.5319 cents 43 .. 86 match: 29 SD: 1.5960 cents 44 .. 88 match: 29 SD: 1.2197 cents 45 .. 90 match: 29 SD: 1.1928 cents 46 .. 92 match: 30 SD: 1.1578 cents 47 .. 94 match: 31 SD: 1.2825 cents 48 .. 96 match: 30 SD: 1.3552 cents 49 .. 98 match: 28 SD: 1.3473 cents 50 .. 100 match: 31 SD: 1.2952 cents 51 .. 102 match: 32 SD: 1.1331 cents 52 .. 104 match: 34 SD: 1.1907 cents 53 .. 106 match: 29 SD: 1.1420 cents 54 .. 108 match: 32 SD: 0.9084 cents 55 .. 110 match: 32 SD: 1.0120 cents 56 .. 112 match: 31 SD: 0.9791 cents 57 .. 114 match: 34 SD: 1.0448 cents 58 .. 116 match: 34 SD: 1.0539 cents 59 .. 118 match: 35 SD: 0.9511 cents 60 .. 120 match: 32 SD: 0.9489 cents 61 .. 122 match: 33 SD: 0.8514 cents 62 .. 124 match: 33 SD: 0.9550 cents 63 .. 126 match: 33 SD: 0.9151 cents 64 .. 128 match: 34 SD: 0.6900 cents 65 .. 130 match: 36 SD: 1.0540 cents 66 .. 132 match: 37 SD: 0.8278 cents 67 .. 134 match: 36 SD: 0.7839 cents 68 .. 136 match: 35 SD: 0.9437 cents 69 .. 138 match: 35 SD: 0.7502 cents 70 .. 140 match: 36 SD: 0.8083 cents 71 .. 142 match: 36 SD: 0.7494 cents 72 .. 144 match: 35 SD: 0.9164 cents 73 .. 146 match: 36 SD: 0.8173 cents 74 .. 148 match: 36 SD: 0.6732 cents 75 .. 150 match: 36 SD: 0.7512 cents 76 .. 152 match: 36 SD: 0.6704 cents 77 .. 154 match: 36 SD: 0.8277 cents 78 .. 156 match: 34 SD: 0.8210 cents 79 .. 158 match: 35 SD: 0.7250 cents 81 .. 162 match: 37 SD: 0.6713 cents 82 .. 164 match: 37 SD: 0.5927 cents 85 .. 170 match: 37 SD: 0.5665 cents 90 .. 180 match: 37 SD: 0.5655 cents 91 .. 182 match: 37 SD: 0.5503 cents 98 .. 196 match: 37 SD: 0.5441 cents 101 .. 202 match: 37 SD: 0.5296 cents 102 .. 204 match: 37 SD: 0.5050 cents 115 .. 230 match: 37 SD: 0.4579 cents 120 .. 240 match: 37 SD: 0.4438 cents 127 .. 254 match: 37 SD: 0.4204 cents 131 .. 262 match: 37 SD: 0.4194 cents 140 .. 280 match: 37 SD: 0.4147 cents 143 .. 286 match: 37 SD: 0.4041 cents 145 .. 290 match: 37 SD: 0.3785 cents 160 .. 320 match: 37 SD: 0.3751 cents 161 .. 322 match: 37 SD: 0.3349 cents 168 .. 336 match: 37 SD: 0.3097 cents 172 .. 344 match: 37 SD: 0.2923 cents 183 .. 366 match: 37 SD: 0.2880 cents 184 .. 368 match: 37 SD: 0.2703 cents 191 .. 382 match: 37 SD: 0.2599 cents 207 .. 414 match: 37 SD: 0.2596 cents 219 .. 438 match: 37 SD: 0.2422 cents 231 .. 462 match: 37 SD: 0.2283 cents 257 .. 513 match: 37 SD: 0.2145 cents 258 .. 515 match: 37 SD: 0.1941 cents 273 .. 545 match: 37 SD: 0.1864 cents 276 .. 551 match: 37 SD: 0.1759 cents 301 .. 601 match: 37 SD: 0.1758 cents 313 .. 625 match: 37 SD: 0.1601 cents 333 .. 665 match: 37 SD: 0.1540 cents 356 .. 711 match: 37 SD: 0.1510 cents 359 .. 717 match: 37 SD: 0.1417 cents 374 .. 747 match: 37 SD: 0.1319 cents 393 .. 785 match: 37 SD: 0.1284 cents 403 .. 805 match: 37 SD: 0.1254 cents 448 .. 895 match: 37 SD: 0.1204 cents 459 .. 917 match: 37 SD: 0.1179 cents 462 .. 923 match: 37 SD: 0.1136 cents 466 .. 931 match: 37 SD: 0.1120 cents 478 .. 955 match: 37 SD: 0.1092 cents 485 .. 969 match: 37 SD: 0.1032 cents 494 .. 987 match: 37 SD: 0.1016 cents 495 .. 989 match: 37 SD: 0.0979 cents 549 .. 1097 match: 37 SD: 0.0914 cents 561 .. 1121 match: 37 SD: 0.0905 cents 564 .. 1127 match: 37 SD: 0.0898 cents 581 .. 1161 match: 37 SD: 0.0825 cents