Scala analysis: edo-52
52 equal divisions of the octave
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 23.077 cents 23.076923 2: 46.154 cents 46.153846 3: 69.231 cents 69.230769 4: 92.308 cents 92.307692 5: 115.385 cents 115.384615 6: 138.462 cents 138.461538 7: 161.538 cents 161.538462 8: 184.615 cents 184.615385 9: 207.692 cents 207.692308 10: 230.769 cents 230.769231 11: 253.846 cents 253.846154 12: 276.923 cents 276.923077 13: 300.000 cents 300.000000 14: 323.077 cents 323.076923 15: 346.154 cents 346.153846 16: 369.231 cents 369.230769 17: 392.308 cents 392.307692 18: 415.385 cents 415.384615 19: 438.462 cents 438.461538 20: 461.538 cents 461.538462 21: 484.615 cents 484.615385 22: 507.692 cents 507.692308 23: 530.769 cents 530.769231 24: 553.846 cents 553.846154 25: 576.923 cents 576.923077 26: 600.000 cents 600.000000 27: 623.077 cents 623.076923 28: 646.154 cents 646.153846 29: 669.231 cents 669.230769 30: 692.308 cents 692.307692 31: 715.385 cents 715.384615 32: 738.462 cents 738.461538 33: 761.538 cents 761.538462 34: 784.615 cents 784.615385 35: 807.692 cents 807.692308 36: 830.769 cents 830.769231 37: 853.846 cents 853.846154 38: 876.923 cents 876.923077 39: 900.000 cents 900.000000 40: 923.077 cents 923.076923 41: 946.154 cents 946.153846 42: 969.231 cents 969.230769 43: 992.308 cents 992.307692 44: 1015.385 cents 1015.384615 45: 1038.462 cents 1038.461538 46: 1061.538 cents 1061.538462 47: 1084.615 cents 1084.615385 48: 1107.692 cents 1107.692308 49: 1130.769 cents 1130.769231 50: 1153.846 cents 1153.846154 51: 1176.923 cents 1176.923077 52: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 23.0769 cents 23.0769 1: 23.0769 cents 23.0769 2: 23.0769 cents 23.0769 3: 23.0769 cents 23.0769 4: 23.0769 cents 23.0769 5: 23.0769 cents 23.0769 6: 23.0769 cents 23.0769 7: 23.0769 cents 23.0769 8: 23.0769 cents 23.0769 9: 23.0769 cents 23.0769 10: 23.0769 cents 23.0769 11: 23.0769 cents 23.0769 12: 23.0769 cents 23.0769 13: 23.0769 cents 23.0769 14: 23.0769 cents 23.0769 15: 23.0769 cents 23.0769 16: 23.0769 cents 23.0769 17: 23.0769 cents 23.0769 18: 23.0769 cents 23.0769 19: 23.0769 cents 23.0769 20: 23.0769 cents 23.0769 21: 23.0769 cents 23.0769 22: 23.0769 cents 23.0769 23: 23.0769 cents 23.0769 24: 23.0769 cents 23.0769 25: 23.0769 cents 23.0769 26: 23.0769 cents 23.0769 27: 23.0769 cents 23.0769 28: 23.0769 cents 23.0769 29: 23.0769 cents 23.0769 30: 23.0769 cents 23.0769 31: 23.0769 cents 23.0769 32: 23.0769 cents 23.0769 33: 23.0769 cents 23.0769 34: 23.0769 cents 23.0769 35: 23.0769 cents 23.0769 36: 23.0769 cents 23.0769 37: 23.0769 cents 23.0769 38: 23.0769 cents 23.0769 39: 23.0769 cents 23.0769 40: 23.0769 cents 23.0769 41: 23.0769 cents 23.0769 42: 23.0769 cents 23.0769 43: 23.0769 cents 23.0769 44: 23.0769 cents 23.0769 45: 23.0769 cents 23.0769 46: 23.0769 cents 23.0769 47: 23.0769 cents 23.0769 48: 23.0769 cents 23.0769 49: 23.0769 cents 23.0769 50: 23.0769 cents 23.0769 51: 23.0769 cents 23.0769 52: 23.0769 cents 23.0769
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 52 23.07692 cents 2: 52 46.15385 cents 3: 52 69.23077 cents 4: 52 92.30769 cents 5: 52 115.38462 cents 6: 52 138.46154 cents 7: 52 161.53846 cents 8: 52 184.61539 cents 9: 52 207.69231 cents 10: 52 230.76923 cents 11: 52 253.84615 cents 12: 52 276.92308 cents 13: 52 300.00000 cents 14: 52 323.07692 cents 15: 52 346.15385 cents 16: 52 369.23077 cents 17: 52 392.30769 cents 18: 52 415.38462 cents 19: 52 438.46154 cents 20: 52 461.53846 cents 21: 52 484.61538 cents 22: 52 507.69231 cents 23: 52 530.76923 cents 24: 52 553.84615 cents 25: 52 576.92308 cents 26: 52 600.00000 cents 27: 52 623.07692 cents 28: 52 646.15385 cents 29: 52 669.23077 cents 30: 52 692.30769 cents 31: 52 715.38461 cents 32: 52 738.46154 cents 33: 52 761.53846 cents 34: 52 784.61538 cents 35: 52 807.69231 cents 36: 52 830.76923 cents 37: 52 853.84615 cents 38: 52 876.92308 cents 39: 52 900.00000 cents 40: 52 923.07692 cents 41: 52 946.15385 cents 42: 52 969.23077 cents 43: 52 992.30769 cents 44: 52 1015.38462 cents 45: 52 1038.46154 cents 46: 52 1061.53846 cents 47: 52 1084.61539 cents 48: 52 1107.69231 cents 49: 52 1130.76923 cents 50: 52 1153.84615 cents 51: 52 1176.92308 cents Only one interval per interval class, scale is equal tempered Average number of different intervals per interval class: 1.00000 = 1
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 0.0 : 23.1 46.2 69.2 92.3 115.4 138.5 161.5 184.6 207.7 230.8 253.8 276.9 300.0 323.1 346.2 369.2 392.3 415.4 438.5 461.5 484.6 507.7 530.8 553.8 576.9 600.0 623.1 646.2 669.2 692.3 715.4 738.5 761.5 784.6 807.7 830.8 853.8 876.9 900.0 923.1 946.2 969.2 992.3 1015.4 1038.5 1061.5 1084.6 1107.7 1130.8 1153.8 1176.9 1200.0 23.1 : 23.1 46.2 69.2 92.3 115.4 138.5 161.5 184.6 207.7 230.8 253.8 276.9 300.0 323.1 346.2 369.2 392.3 415.4 438.5 461.5 484.6 507.7 530.8 553.8 576.9 600.0 623.1 646.2 669.2 692.3 715.4 738.5 761.5 784.6 807.7 830.8 853.8 876.9 900.0 923.1 946.2 969.2 992.3 1015.4 1038.5 1061.5 1084.6 1107.7 1130.8 1153.8 1176.9 1200.0 46.2 : 23.1 46.2 69.2 92.3 115.4 138.5 161.5 184.6 207.7 230.8 253.8 276.9 300.0 323.1 346.2 369.2 392.3 415.4 438.5 461.5 484.6 507.7 530.8 553.8 576.9 600.0 623.1 646.2 669.2 692.3 715.4 738.5 761.5 784.6 807.7 830.8 853.8 876.9 900.0 923.1 946.2 969.2 992.3 1015.4 1038.5 1061.5 1084.6 1107.7 1130.8 1153.8 1176.9 1200.0 69.2 : 23.1 46.2 69.2 92.3 115.4 138.5 161.5 184.6 207.7 230.8 253.8 276.9 300.0 323.1 346.2 369.2 392.3 415.4 438.5 461.5 484.6 507.7 530.8 553.8 576.9 600.0 623.1 646.2 669.2 692.3 715.4 738.5 761.5 784.6 807.7 830.8 853.8 876.9 900.0 923.1 946.2 969.2 992.3 1015.4 1038.5 1061.5 1084.6 1107.7 1130.8 1153.8 1176.9 1200.0 92.3 : 23.1 46.2 69.2 92.3 115.4 138.5 161.5 184.6 207.7 230.8 253.8 276.9 300.0 323.1 346.2 369.2 392.3 415.4 438.5 461.5 484.6 507.7 530.8 553.8 576.9 600.0 623.1 646.2 669.2 692.3 715.4 738.5 761.5 784.6 807.7 830.8 853.8 876.9 900.0 923.1 946.2 969.2 992.3 1015.4 1038.5 1061.5 1084.6 1107.7 1130.8 1153.8 1176.9 1200.0 115.4 : 23.1 46.2 69.2 92.3 115.4 138.5 161.5 184.6 207.7 230.8 253.8 276.9 300.0 323.1 346.2 369.2 392.3 415.4 438.5 461.5 484.6 507.7 530.8 553.8 576.9 600.0 623.1 646.2 669.2 692.3 715.4 738.5 761.5 784.6 807.7 830.8 853.8 876.9 900.0 923.1 946.2 969.2 992.3 1015.4 1038.5 1061.5 1084.6 1107.7 1130.8 1153.8 1176.9 1200.0 138.5 : 23.1 46.2 69.2 92.3 115.4 138.5 161.5 184.6 207.7 230.8 253.8 276.9 300.0 323.1 346.2 369.2 392.3 415.4 438.5 461.5 484.6 507.7 530.8 553.8 576.9 600.0 623.1 646.2 669.2 692.3 715.4 738.5 761.5 784.6 807.7 830.8 853.8 876.9 900.0 923.1 946.2 969.2 992.3 1015.4 1038.5 1061.5 1084.6 1107.7 1130.8 1153.8 1176.9 1200.0 161.5 : 23.1 46.2 69.2 92.3 115.4 138.5 161.5 184.6 207.7 230.8 253.8 276.9 300.0 323.1 346.2 369.2 392.3 415.4 438.5 461.5 484.6 507.7 530.8 553.8 576.9 600.0 623.1 646.2 669.2 692.3 715.4 738.5 761.5 784.6 807.7 830.8 853.8 876.9 900.0 923.1 946.2 969.2 992.3 1015.4 1038.5 1061.5 1084.6 1107.7 1130.8 1153.8 1176.9 1200.0 184.6 : 23.1 46.2 69.2 92.3 115.4 138.5 161.5 184.6 207.7 230.8 253.8 276.9 300.0 323.1 346.2 369.2 392.3 415.4 438.5 461.5 484.6 507.7 530.8 553.8 576.9 600.0 623.1 646.2 669.2 692.3 715.4 738.5 761.5 784.6 807.7 830.8 853.8 876.9 900.0 923.1 946.2 969.2 992.3 1015.4 1038.5 1061.5 1084.6 1107.7 1130.8 1153.8 1176.9 1200.0 207.7 : 23.1 46.2 69.2 92.3 115.4 138.5 161.5 184.6 207.7 230.8 253.8 276.9 300.0 323.1 346.2 369.2 392.3 415.4 438.5 461.5 484.6 507.7 530.8 553.8 576.9 600.0 623.1 646.2 669.2 692.3 715.4 738.5 761.5 784.6 807.7 830.8 853.8 876.9 900.0 923.1 946.2 969.2 992.3 1015.4 1038.5 1061.5 1084.6 1107.7 1130.8 1153.8 1176.9 1200.0 230.8 : 23.1 46.2 69.2 92.3 115.4 138.5 161.5 184.6 207.7 230.8 253.8 276.9 300.0 323.1 346.2 369.2 392.3 415.4 438.5 461.5 484.6 507.7 530.8 553.8 576.9 600.0 623.1 646.2 669.2 692.3 715.4 738.5 761.5 784.6 807.7 830.8 853.8 876.9 900.0 923.1 946.2 969.2 992.3 1015.4 1038.5 1061.5 1084.6 1107.7 1130.8 1153.8 1176.9 1200.0 253.8 : 23.1 46.2 69.2 92.3 115.4 138.5 161.5 184.6 207.7 230.8 253.8 276.9 300.0 323.1 346.2 369.2 392.3 415.4 438.5 461.5 484.6 507.7 530.8 553.8 576.9 600.0 623.1 646.2 669.2 692.3 715.4 738.5 761.5 784.6 807.7 830.8 853.8 876.9 900.0 923.1 946.2 969.2 992.3 1015.4 1038.5 1061.5 1084.6 1107.7 1130.8 1153.8 1176.9 1200.0 276.9 : 23.1 46.2 69.2 92.3 115.4 138.5 161.5 184.6 207.7 230.8 253.8 276.9 300.0 323.1 346.2 369.2 392.3 415.4 438.5 461.5 484.6 507.7 530.8 553.8 576.9 600.0 623.1 646.2 669.2 692.3 715.4 738.5 761.5 784.6 807.7 830.8 853.8 876.9 900.0 923.1 946.2 969.2 992.3 1015.4 1038.5 1061.5 1084.6 1107.7 1130.8 1153.8 1176.9 1200.0 300.0 : 23.1 46.2 69.2 92.3 115.4 138.5 161.5 184.6 207.7 230.8 253.8 276.9 300.0 323.1 346.2 369.2 392.3 415.4 438.5 461.5 484.6 507.7 530.8 553.8 576.9 600.0 623.1 646.2 669.2 692.3 715.4 738.5 761.5 784.6 807.7 830.8 853.8 876.9 900.0 923.1 946.2 969.2 992.3 1015.4 1038.5 1061.5 1084.6 1107.7 1130.8 1153.8 1176.9 1200.0 323.1 : 23.1 46.2 69.2 92.3 115.4 138.5 161.5 184.6 207.7 230.8 253.8 276.9 300.0 323.1 346.2 369.2 392.3 415.4 438.5 461.5 484.6 507.7 530.8 553.8 576.9 600.0 623.1 646.2 669.2 692.3 715.4 738.5 761.5 784.6 807.7 830.8 853.8 876.9 900.0 923.1 946.2 969.2 992.3 1015.4 1038.5 1061.5 1084.6 1107.7 1130.8 1153.8 1176.9 1200.0 346.2 : 23.1 46.2 69.2 92.3 115.4 138.5 161.5 184.6 207.7 230.8 253.8 276.9 300.0 323.1 346.2 369.2 392.3 415.4 438.5 461.5 484.6 507.7 530.8 553.8 576.9 600.0 623.1 646.2 669.2 692.3 715.4 738.5 761.5 784.6 807.7 830.8 853.8 876.9 900.0 923.1 946.2 969.2 992.3 1015.4 1038.5 1061.5 1084.6 1107.7 1130.8 1153.8 1176.9 1200.0 369.2 : 23.1 46.2 69.2 92.3 115.4 138.5 161.5 184.6 207.7 230.8 253.8 276.9 300.0 323.1 346.2 369.2 392.3 415.4 438.5 461.5 484.6 507.7 530.8 553.8 576.9 600.0 623.1 646.2 669.2 692.3 715.4 738.5 761.5 784.6 807.7 830.8 853.8 876.9 900.0 923.1 946.2 969.2 992.3 1015.4 1038.5 1061.5 1084.6 1107.7 1130.8 1153.8 1176.9 1200.0 392.3 : 23.1 46.2 69.2 92.3 115.4 138.5 161.5 184.6 207.7 230.8 253.8 276.9 300.0 323.1 346.2 369.2 392.3 415.4 438.5 461.5 484.6 507.7 530.8 553.8 576.9 600.0 623.1 646.2 669.2 692.3 715.4 738.5 761.5 784.6 807.7 830.8 853.8 876.9 900.0 923.1 946.2 969.2 992.3 1015.4 1038.5 1061.5 1084.6 1107.7 1130.8 1153.8 1176.9 1200.0 415.4 : 23.1 46.2 69.2 92.3 115.4 138.5 161.5 184.6 207.7 230.8 253.8 276.9 300.0 323.1 346.2 369.2 392.3 415.4 438.5 461.5 484.6 507.7 530.8 553.8 576.9 600.0 623.1 646.2 669.2 692.3 715.4 738.5 761.5 784.6 807.7 830.8 853.8 876.9 900.0 923.1 946.2 969.2 992.3 1015.4 1038.5 1061.5 1084.6 1107.7 1130.8 1153.8 1176.9 1200.0 438.5 : 23.1 46.2 69.2 92.3 115.4 138.5 161.5 184.6 207.7 230.8 253.8 276.9 300.0 323.1 346.2 369.2 392.3 415.4 438.5 461.5 484.6 507.7 530.8 553.8 576.9 600.0 623.1 646.2 669.2 692.3 715.4 738.5 761.5 784.6 807.7 830.8 853.8 876.9 900.0 923.1 946.2 969.2 992.3 1015.4 1038.5 1061.5 1084.6 1107.7 1130.8 1153.8 1176.9 1200.0 461.5 : 23.1 46.2 69.2 92.3 115.4 138.5 161.5 184.6 207.7 230.8 253.8 276.9 300.0 323.1 346.2 369.2 392.3 415.4 438.5 461.5 484.6 507.7 530.8 553.8 576.9 600.0 623.1 646.2 669.2 692.3 715.4 738.5 761.5 784.6 807.7 830.8 853.8 876.9 900.0 923.1 946.2 969.2 992.3 1015.4 1038.5 1061.5 1084.6 1107.7 1130.8 1153.8 1176.9 1200.0 484.6 : 23.1 46.2 69.2 92.3 115.4 138.5 161.5 184.6 207.7 230.8 253.8 276.9 300.0 323.1 346.2 369.2 392.3 415.4 438.5 461.5 484.6 507.7 530.8 553.8 576.9 600.0 623.1 646.2 669.2 692.3 715.4 738.5 761.5 784.6 807.7 830.8 853.8 876.9 900.0 923.1 946.2 969.2 992.3 1015.4 1038.5 1061.5 1084.6 1107.7 1130.8 1153.8 1176.9 1200.0 507.7 : 23.1 46.2 69.2 92.3 115.4 138.5 161.5 184.6 207.7 230.8 253.8 276.9 300.0 323.1 346.2 369.2 392.3 415.4 438.5 461.5 484.6 507.7 530.8 553.8 576.9 600.0 623.1 646.2 669.2 692.3 715.4 738.5 761.5 784.6 807.7 830.8 853.8 876.9 900.0 923.1 946.2 969.2 992.3 1015.4 1038.5 1061.5 1084.6 1107.7 1130.8 1153.8 1176.9 1200.0 530.8 : 23.1 46.2 69.2 92.3 115.4 138.5 161.5 184.6 207.7 230.8 253.8 276.9 300.0 323.1 346.2 369.2 392.3 415.4 438.5 461.5 484.6 507.7 530.8 553.8 576.9 600.0 623.1 646.2 669.2 692.3 715.4 738.5 761.5 784.6 807.7 830.8 853.8 876.9 900.0 923.1 946.2 969.2 992.3 1015.4 1038.5 1061.5 1084.6 1107.7 1130.8 1153.8 1176.9 1200.0 553.8 : 23.1 46.2 69.2 92.3 115.4 138.5 161.5 184.6 207.7 230.8 253.8 276.9 300.0 323.1 346.2 369.2 392.3 415.4 438.5 461.5 484.6 507.7 530.8 553.8 576.9 600.0 623.1 646.2 669.2 692.3 715.4 738.5 761.5 784.6 807.7 830.8 853.8 876.9 900.0 923.1 946.2 969.2 992.3 1015.4 1038.5 1061.5 1084.6 1107.7 1130.8 1153.8 1176.9 1200.0 576.9 : 23.1 46.2 69.2 92.3 115.4 138.5 161.5 184.6 207.7 230.8 253.8 276.9 300.0 323.1 346.2 369.2 392.3 415.4 438.5 461.5 484.6 507.7 530.8 553.8 576.9 600.0 623.1 646.2 669.2 692.3 715.4 738.5 761.5 784.6 807.7 830.8 853.8 876.9 900.0 923.1 946.2 969.2 992.3 1015.4 1038.5 1061.5 1084.6 1107.7 1130.8 1153.8 1176.9 1200.0 600.0 : 23.1 46.2 69.2 92.3 115.4 138.5 161.5 184.6 207.7 230.8 253.8 276.9 300.0 323.1 346.2 369.2 392.3 415.4 438.5 461.5 484.6 507.7 530.8 553.8 576.9 600.0 623.1 646.2 669.2 692.3 715.4 738.5 761.5 784.6 807.7 830.8 853.8 876.9 900.0 923.1 946.2 969.2 992.3 1015.4 1038.5 1061.5 1084.6 1107.7 1130.8 1153.8 1176.9 1200.0 623.1 : 23.1 46.2 69.2 92.3 115.4 138.5 161.5 184.6 207.7 230.8 253.8 276.9 300.0 323.1 346.2 369.2 392.3 415.4 438.5 461.5 484.6 507.7 530.8 553.8 576.9 600.0 623.1 646.2 669.2 692.3 715.4 738.5 761.5 784.6 807.7 830.8 853.8 876.9 900.0 923.1 946.2 969.2 992.3 1015.4 1038.5 1061.5 1084.6 1107.7 1130.8 1153.8 1176.9 1200.0 646.2 : 23.1 46.2 69.2 92.3 115.4 138.5 161.5 184.6 207.7 230.8 253.8 276.9 300.0 323.1 346.2 369.2 392.3 415.4 438.5 461.5 484.6 507.7 530.8 553.8 576.9 600.0 623.1 646.2 669.2 692.3 715.4 738.5 761.5 784.6 807.7 830.8 853.8 876.9 900.0 923.1 946.2 969.2 992.3 1015.4 1038.5 1061.5 1084.6 1107.7 1130.8 1153.8 1176.9 1200.0 669.2 : 23.1 46.2 69.2 92.3 115.4 138.5 161.5 184.6 207.7 230.8 253.8 276.9 300.0 323.1 346.2 369.2 392.3 415.4 438.5 461.5 484.6 507.7 530.8 553.8 576.9 600.0 623.1 646.2 669.2 692.3 715.4 738.5 761.5 784.6 807.7 830.8 853.8 876.9 900.0 923.1 946.2 969.2 992.3 1015.4 1038.5 1061.5 1084.6 1107.7 1130.8 1153.8 1176.9 1200.0 692.3 : 23.1 46.2 69.2 92.3 115.4 138.5 161.5 184.6 207.7 230.8 253.8 276.9 300.0 323.1 346.2 369.2 392.3 415.4 438.5 461.5 484.6 507.7 530.8 553.8 576.9 600.0 623.1 646.2 669.2 692.3 715.4 738.5 761.5 784.6 807.7 830.8 853.8 876.9 900.0 923.1 946.2 969.2 992.3 1015.4 1038.5 1061.5 1084.6 1107.7 1130.8 1153.8 1176.9 1200.0 715.4 : 23.1 46.2 69.2 92.3 115.4 138.5 161.5 184.6 207.7 230.8 253.8 276.9 300.0 323.1 346.2 369.2 392.3 415.4 438.5 461.5 484.6 507.7 530.8 553.8 576.9 600.0 623.1 646.2 669.2 692.3 715.4 738.5 761.5 784.6 807.7 830.8 853.8 876.9 900.0 923.1 946.2 969.2 992.3 1015.4 1038.5 1061.5 1084.6 1107.7 1130.8 1153.8 1176.9 1200.0 738.5 : 23.1 46.2 69.2 92.3 115.4 138.5 161.5 184.6 207.7 230.8 253.8 276.9 300.0 323.1 346.2 369.2 392.3 415.4 438.5 461.5 484.6 507.7 530.8 553.8 576.9 600.0 623.1 646.2 669.2 692.3 715.4 738.5 761.5 784.6 807.7 830.8 853.8 876.9 900.0 923.1 946.2 969.2 992.3 1015.4 1038.5 1061.5 1084.6 1107.7 1130.8 1153.8 1176.9 1200.0 761.5 : 23.1 46.2 69.2 92.3 115.4 138.5 161.5 184.6 207.7 230.8 253.8 276.9 300.0 323.1 346.2 369.2 392.3 415.4 438.5 461.5 484.6 507.7 530.8 553.8 576.9 600.0 623.1 646.2 669.2 692.3 715.4 738.5 761.5 784.6 807.7 830.8 853.8 876.9 900.0 923.1 946.2 969.2 992.3 1015.4 1038.5 1061.5 1084.6 1107.7 1130.8 1153.8 1176.9 1200.0 784.6 : 23.1 46.2 69.2 92.3 115.4 138.5 161.5 184.6 207.7 230.8 253.8 276.9 300.0 323.1 346.2 369.2 392.3 415.4 438.5 461.5 484.6 507.7 530.8 553.8 576.9 600.0 623.1 646.2 669.2 692.3 715.4 738.5 761.5 784.6 807.7 830.8 853.8 876.9 900.0 923.1 946.2 969.2 992.3 1015.4 1038.5 1061.5 1084.6 1107.7 1130.8 1153.8 1176.9 1200.0 807.7 : 23.1 46.2 69.2 92.3 115.4 138.5 161.5 184.6 207.7 230.8 253.8 276.9 300.0 323.1 346.2 369.2 392.3 415.4 438.5 461.5 484.6 507.7 530.8 553.8 576.9 600.0 623.1 646.2 669.2 692.3 715.4 738.5 761.5 784.6 807.7 830.8 853.8 876.9 900.0 923.1 946.2 969.2 992.3 1015.4 1038.5 1061.5 1084.6 1107.7 1130.8 1153.8 1176.9 1200.0 830.8 : 23.1 46.2 69.2 92.3 115.4 138.5 161.5 184.6 207.7 230.8 253.8 276.9 300.0 323.1 346.2 369.2 392.3 415.4 438.5 461.5 484.6 507.7 530.8 553.8 576.9 600.0 623.1 646.2 669.2 692.3 715.4 738.5 761.5 784.6 807.7 830.8 853.8 876.9 900.0 923.1 946.2 969.2 992.3 1015.4 1038.5 1061.5 1084.6 1107.7 1130.8 1153.8 1176.9 1200.0 853.8 : 23.1 46.2 69.2 92.3 115.4 138.5 161.5 184.6 207.7 230.8 253.8 276.9 300.0 323.1 346.2 369.2 392.3 415.4 438.5 461.5 484.6 507.7 530.8 553.8 576.9 600.0 623.1 646.2 669.2 692.3 715.4 738.5 761.5 784.6 807.7 830.8 853.8 876.9 900.0 923.1 946.2 969.2 992.3 1015.4 1038.5 1061.5 1084.6 1107.7 1130.8 1153.8 1176.9 1200.0 876.9 : 23.1 46.2 69.2 92.3 115.4 138.5 161.5 184.6 207.7 230.8 253.8 276.9 300.0 323.1 346.2 369.2 392.3 415.4 438.5 461.5 484.6 507.7 530.8 553.8 576.9 600.0 623.1 646.2 669.2 692.3 715.4 738.5 761.5 784.6 807.7 830.8 853.8 876.9 900.0 923.1 946.2 969.2 992.3 1015.4 1038.5 1061.5 1084.6 1107.7 1130.8 1153.8 1176.9 1200.0 900.0 : 23.1 46.2 69.2 92.3 115.4 138.5 161.5 184.6 207.7 230.8 253.8 276.9 300.0 323.1 346.2 369.2 392.3 415.4 438.5 461.5 484.6 507.7 530.8 553.8 576.9 600.0 623.1 646.2 669.2 692.3 715.4 738.5 761.5 784.6 807.7 830.8 853.8 876.9 900.0 923.1 946.2 969.2 992.3 1015.4 1038.5 1061.5 1084.6 1107.7 1130.8 1153.8 1176.9 1200.0 923.1 : 23.1 46.2 69.2 92.3 115.4 138.5 161.5 184.6 207.7 230.8 253.8 276.9 300.0 323.1 346.2 369.2 392.3 415.4 438.5 461.5 484.6 507.7 530.8 553.8 576.9 600.0 623.1 646.2 669.2 692.3 715.4 738.5 761.5 784.6 807.7 830.8 853.8 876.9 900.0 923.1 946.2 969.2 992.3 1015.4 1038.5 1061.5 1084.6 1107.7 1130.8 1153.8 1176.9 1200.0 946.2 : 23.1 46.2 69.2 92.3 115.4 138.5 161.5 184.6 207.7 230.8 253.8 276.9 300.0 323.1 346.2 369.2 392.3 415.4 438.5 461.5 484.6 507.7 530.8 553.8 576.9 600.0 623.1 646.2 669.2 692.3 715.4 738.5 761.5 784.6 807.7 830.8 853.8 876.9 900.0 923.1 946.2 969.2 992.3 1015.4 1038.5 1061.5 1084.6 1107.7 1130.8 1153.8 1176.9 1200.0 969.2 : 23.1 46.2 69.2 92.3 115.4 138.5 161.5 184.6 207.7 230.8 253.8 276.9 300.0 323.1 346.2 369.2 392.3 415.4 438.5 461.5 484.6 507.7 530.8 553.8 576.9 600.0 623.1 646.2 669.2 692.3 715.4 738.5 761.5 784.6 807.7 830.8 853.8 876.9 900.0 923.1 946.2 969.2 992.3 1015.4 1038.5 1061.5 1084.6 1107.7 1130.8 1153.8 1176.9 1200.0 992.3 : 23.1 46.2 69.2 92.3 115.4 138.5 161.5 184.6 207.7 230.8 253.8 276.9 300.0 323.1 346.2 369.2 392.3 415.4 438.5 461.5 484.6 507.7 530.8 553.8 576.9 600.0 623.1 646.2 669.2 692.3 715.4 738.5 761.5 784.6 807.7 830.8 853.8 876.9 900.0 923.1 946.2 969.2 992.3 1015.4 1038.5 1061.5 1084.6 1107.7 1130.8 1153.8 1176.9 1200.0 1015.4: 23.1 46.2 69.2 92.3 115.4 138.5 161.5 184.6 207.7 230.8 253.8 276.9 300.0 323.1 346.2 369.2 392.3 415.4 438.5 461.5 484.6 507.7 530.8 553.8 576.9 600.0 623.1 646.2 669.2 692.3 715.4 738.5 761.5 784.6 807.7 830.8 853.8 876.9 900.0 923.1 946.2 969.2 992.3 1015.4 1038.5 1061.5 1084.6 1107.7 1130.8 1153.8 1176.9 1200.0 1038.5: 23.1 46.2 69.2 92.3 115.4 138.5 161.5 184.6 207.7 230.8 253.8 276.9 300.0 323.1 346.2 369.2 392.3 415.4 438.5 461.5 484.6 507.7 530.8 553.8 576.9 600.0 623.1 646.2 669.2 692.3 715.4 738.5 761.5 784.6 807.7 830.8 853.8 876.9 900.0 923.1 946.2 969.2 992.3 1015.4 1038.5 1061.5 1084.6 1107.7 1130.8 1153.8 1176.9 1200.0 1061.5: 23.1 46.2 69.2 92.3 115.4 138.5 161.5 184.6 207.7 230.8 253.8 276.9 300.0 323.1 346.2 369.2 392.3 415.4 438.5 461.5 484.6 507.7 530.8 553.8 576.9 600.0 623.1 646.2 669.2 692.3 715.4 738.5 761.5 784.6 807.7 830.8 853.8 876.9 900.0 923.1 946.2 969.2 992.3 1015.4 1038.5 1061.5 1084.6 1107.7 1130.8 1153.8 1176.9 1200.0 1084.6: 23.1 46.2 69.2 92.3 115.4 138.5 161.5 184.6 207.7 230.8 253.8 276.9 300.0 323.1 346.2 369.2 392.3 415.4 438.5 461.5 484.6 507.7 530.8 553.8 576.9 600.0 623.1 646.2 669.2 692.3 715.4 738.5 761.5 784.6 807.7 830.8 853.8 876.9 900.0 923.1 946.2 969.2 992.3 1015.4 1038.5 1061.5 1084.6 1107.7 1130.8 1153.8 1176.9 1200.0 1107.7: 23.1 46.2 69.2 92.3 115.4 138.5 161.5 184.6 207.7 230.8 253.8 276.9 300.0 323.1 346.2 369.2 392.3 415.4 438.5 461.5 484.6 507.7 530.8 553.8 576.9 600.0 623.1 646.2 669.2 692.3 715.4 738.5 761.5 784.6 807.7 830.8 853.8 876.9 900.0 923.1 946.2 969.2 992.3 1015.4 1038.5 1061.5 1084.6 1107.7 1130.8 1153.8 1176.9 1200.0 1130.8: 23.1 46.2 69.2 92.3 115.4 138.5 161.5 184.6 207.7 230.8 253.8 276.9 300.0 323.1 346.2 369.2 392.3 415.4 438.5 461.5 484.6 507.7 530.8 553.8 576.9 600.0 623.1 646.2 669.2 692.3 715.4 738.5 761.5 784.6 807.7 830.8 853.8 876.9 900.0 923.1 946.2 969.2 992.3 1015.4 1038.5 1061.5 1084.6 1107.7 1130.8 1153.8 1176.9 1200.0 1153.8: 23.1 46.2 69.2 92.3 115.4 138.5 161.5 184.6 207.7 230.8 253.8 276.9 300.0 323.1 346.2 369.2 392.3 415.4 438.5 461.5 484.6 507.7 530.8 553.8 576.9 600.0 623.1 646.2 669.2 692.3 715.4 738.5 761.5 784.6 807.7 830.8 853.8 876.9 900.0 923.1 946.2 969.2 992.3 1015.4 1038.5 1061.5 1084.6 1107.7 1130.8 1153.8 1176.9 1200.0 1176.9: 23.1 46.2 69.2 92.3 115.4 138.5 161.5 184.6 207.7 230.8 253.8 276.9 300.0 323.1 346.2 369.2 392.3 415.4 438.5 461.5 484.6 507.7 530.8 553.8 576.9 600.0 623.1 646.2 669.2 692.3 715.4 738.5 761.5 784.6 807.7 830.8 853.8 876.9 900.0 923.1 946.2 969.2 992.3 1015.4 1038.5 1061.5 1084.6 1107.7 1130.8 1153.8 1176.9 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 23.0769 .. 23.0769 cents 1/1, 0.0000 cents 23.07692 cents 2: 46.1538 .. 46.1538 cents 1/1, 0.0000 cents 23.07692 cents 3: 69.2308 .. 69.2308 cents 1/1, 0.0000 cents 23.07692 cents 4: 92.3077 .. 92.3077 cents 1/1, 0.0000 cents 23.07692 cents 5: 115.3846 .. 115.3846 cents 1/1, 0.0000 cents 23.07692 cents 6: 138.4615 .. 138.4615 cents 1/1, 0.0000 cents 23.07692 cents 7: 161.5385 .. 161.5385 cents 1/1, 0.0000 cents 23.07692 cents 8: 184.6154 .. 184.6154 cents 1/1, 0.0000 cents 23.07692 cents 9: 207.6923 .. 207.6923 cents 1/1, 0.0000 cents 23.07692 cents 10: 230.7692 .. 230.7692 cents 1/1, 0.0000 cents 23.07692 cents 11: 253.8462 .. 253.8462 cents 1/1, 0.0000 cents 23.07692 cents 12: 276.9231 .. 276.9231 cents 1/1, 0.0000 cents 23.07692 cents 13: 300.0000 .. 300.0000 cents 1/1, 0.0000 cents 23.07692 cents 14: 323.0769 .. 323.0769 cents 1/1, 0.0000 cents 23.07692 cents 15: 346.1538 .. 346.1538 cents 1/1, 0.0000 cents 23.07692 cents 16: 369.2308 .. 369.2308 cents 1/1, 0.0000 cents 23.07692 cents 17: 392.3077 .. 392.3077 cents 1/1, 0.0000 cents 23.07692 cents 18: 415.3846 .. 415.3846 cents 1/1, 0.0000 cents 23.07692 cents 19: 438.4615 .. 438.4615 cents 1/1, 0.0000 cents 23.07692 cents 20: 461.5385 .. 461.5385 cents 1/1, 0.0000 cents 23.07692 cents 21: 484.6154 .. 484.6154 cents 1/1, 0.0000 cents 23.07692 cents 22: 507.6923 .. 507.6923 cents 1/1, 0.0000 cents 23.07692 cents 23: 530.7692 .. 530.7692 cents 1/1, 0.0000 cents 23.07692 cents 24: 553.8462 .. 553.8462 cents 1/1, 0.0000 cents 23.07692 cents 25: 576.9231 .. 576.9231 cents 1/1, 0.0000 cents 23.07692 cents 26: 600.0000 .. 600.0000 cents 1/1, 0.0000 cents 23.07692 cents 27: 623.0769 .. 623.0769 cents 1/1, 0.0000 cents 23.07692 cents 28: 646.1538 .. 646.1538 cents 1/1, 0.0000 cents 23.07692 cents 29: 669.2308 .. 669.2308 cents 1/1, 0.0000 cents 23.07692 cents 30: 692.3077 .. 692.3077 cents 1/1, 0.0000 cents 23.07692 cents 31: 715.3846 .. 715.3846 cents 1/1, 0.0000 cents 23.07692 cents 32: 738.4615 .. 738.4615 cents 1/1, 0.0000 cents 23.07692 cents 33: 761.5385 .. 761.5385 cents 1/1, 0.0000 cents 23.07692 cents 34: 784.6154 .. 784.6154 cents 1/1, 0.0000 cents 23.07692 cents 35: 807.6923 .. 807.6923 cents 1/1, 0.0000 cents 23.07692 cents 36: 830.7692 .. 830.7692 cents 1/1, 0.0000 cents 23.07692 cents 37: 853.8462 .. 853.8462 cents 1/1, 0.0000 cents 23.07692 cents 38: 876.9231 .. 876.9231 cents 1/1, 0.0000 cents 23.07692 cents 39: 900.0000 .. 900.0000 cents 1/1, 0.0000 cents 23.07692 cents 40: 923.0769 .. 923.0769 cents 1/1, 0.0000 cents 23.07692 cents 41: 946.1538 .. 946.1538 cents 1/1, 0.0000 cents 23.07692 cents 42: 969.2308 .. 969.2308 cents 1/1, 0.0000 cents 23.07692 cents 43: 992.3077 .. 992.3077 cents 1/1, 0.0000 cents 23.07692 cents 44: 1015.3846 .. 1015.3846 cents 1/1, 0.0000 cents 23.07692 cents 45: 1038.4615 .. 1038.4615 cents 1/1, 0.0000 cents 23.07692 cents 46: 1061.5385 .. 1061.5385 cents 1/1, 0.0000 cents 23.07692 cents 47: 1084.6154 .. 1084.6154 cents 1/1, 0.0000 cents 23.07692 cents 48: 1107.6923 .. 1107.6923 cents 1/1, 0.0000 cents 23.07692 cents 49: 1130.7692 .. 1130.7692 cents 1/1, 0.0000 cents 23.07692 cents 50: 1153.8462 .. 1153.8462 cents 1/1, 0.0000 cents 23.07692 cents 51: 1176.9231 .. 1176.9231 cents 1/1, 0.0000 cents 23.07692 cents
SHOW DATA
Number of notes : 52 -- Interval properties -- Smallest interval : 23.07692 cents, class 1 Average step (divided formal octave): 23.0769 cents Largest one step interval : 23.07692 cents Average / Smallest step : 1.000000 Largest / Average step : 1.000000 Largest / Smallest step : 1.000000 Median interval of one step : 23.07692 cents, amount: 52 Most common interval of one step : 23.07692 cents, amount: 52 Least squares average step : 23.07692 cents, oct.: 1200.00000 cents Scale is strictly proper Scale is equal tempered Scale is maximally even for L / S <= 2 Scale is distributional even Scale is a Constant Structure, by a margin of 23.07692 cents Ratio Whole / Half tone : 1.333333 ( 4/3 ) Scale diversity : 1.000000 Rothenberg stability : 1.000000 = 1 Lumma stability : 1.000000 Rothenberg efficiency : 0.019231 redundancy: 0.980769 Efficiency x scale size : 1.000000 Number of different interval sizes : 51 = 1.00000 / class Number of one step interval sizes : 1 Mean interval variety : 1.00000 = 1 Lowest interval variety : 1 Number of recognisable fifths : 104, average 703.8462 cents Number of appreciable fifths : 52, average 692.3077 cents Scale contains two identical disjunct "tetrachords" of 23 notes Best major thirds form a closed circle Limited transpositions : all Inversional symmetry on degrees : all Inversional symmetry on intervals : all -- Rational properties --
FIT/MODE
52: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 SP B ME 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: 4.8237 cents 3 .. 6 match: 3 H SD: 4.0601 cents 4 .. 8 match: 4 H SD: 2.8412 cents 5 .. 10 match: 5 H SD: 2.2570 cents 6 .. 12 match: 6 H SD: 3.5797 cents 7 .. 14 match: 7 H SD: 2.2662 cents 8 .. 16 match: 8 H SD: 2.0095 cents 9 .. 18 match: 9 H SD: 1.9741 cents 10 .. 20 match: 10 H SD: 1.7834 cents 11 .. 22 match: 11 H SD: 2.0087 cents 12 .. 24 match: 12 H SD: 2.1180 cents 13 .. 26 match: 13 H SD: 1.9541 cents 14 .. 28 match: 14 H SD: 1.8473 cents 15 .. 30 match: 15 H SD: 1.6507 cents 16 .. 32 match: 16 H SD: 1.7675 cents 17 .. 34 match: 17 H SD: 1.4974 cents 18 .. 36 match: 18 H SD: 1.6067 cents 19 .. 38 match: 19 H SD: 1.5778 cents 20 .. 40 match: 20 H SD: 1.4141 cents 21 .. 42 match: 21 H SD: 1.5305 cents 22 .. 44 match: 22 H SD: 1.4263 cents 23 .. 46 match: 23 H SD: 1.4480 cents 24 .. 48 match: 24 H SD: 1.4022 cents 25 .. 50 match: 25 H SD: 1.3556 cents 26 .. 52 match: 26 H SD: 1.4097 cents 27 .. 54 match: 27 H SD: 1.3654 cents 28 .. 56 match: 28 H SD: 1.2330 cents 29 .. 58 match: 29 H SD: 1.1302 cents 30 .. 60 match: 30 H SD: 1.2628 cents 31 .. 62 match: 31 H SD: 1.0895 cents 32 .. 64 match: 32 H SD: 1.1558 cents 33 .. 66 match: 33 H SD: 1.2598 cents 34 .. 68 match: 34 H SD: 1.0874 cents 35 .. 70 match: 35 H SD: 1.0366 cents 36 .. 72 match: 36 H SD: 1.0359 cents 37 .. 74 match: 37 H SD: 1.0461 cents 38 .. 76 match: 38 H SD: 1.0192 cents 39 .. 78 match: 39 H SD: 0.9588 cents 40 .. 80 match: 40 H SD: 0.9204 cents 41 .. 82 match: 41 H SD: 0.9374 cents 42 .. 84 match: 42 H SD: 1.1632 cents 43 .. 86 match: 42 S SD: 1.0740 cents 44 .. 88 match: 43 SD: 0.9222 cents 45 .. 90 match: 44 S SD: 0.9035 cents 46 .. 92 match: 44 SD: 1.0556 cents 47 .. 94 match: 45 S SD: 0.8660 cents 48 .. 96 match: 46 SD: 1.0452 cents 49 .. 98 match: 46 SD: 0.8948 cents 50 .. 100 match: 47 SD: 0.9517 cents 51 .. 102 match: 47 SD: 0.8610 cents 52 .. 104 match: 48 SD: 0.9785 cents 53 .. 106 match: 48 SD: 0.8031 cents 54 .. 108 match: 48 SD: 0.9748 cents 55 .. 110 match: 49 SD: 0.7869 cents 56 .. 112 match: 49 SD: 0.8181 cents 57 .. 114 match: 49 SD: 0.9735 cents 58 .. 116 match: 50 SD: 0.7742 cents 59 .. 118 match: 50 SD: 0.7568 cents 60 .. 120 match: 50 SD: 0.8755 cents 61 .. 122 match: 50 SD: 0.8919 cents 62 .. 124 match: 51 SD: 0.7332 cents 63 .. 126 match: 51 SD: 0.6933 cents 64 .. 128 match: 51 SD: 0.7559 cents 65 .. 130 match: 51 SD: 0.8310 cents 66 .. 132 match: 51 SD: 0.8937 cents 67 .. 134 match: 52 SD: 0.8136 cents 68 .. 136 match: 52 SD: 0.7094 cents 69 .. 138 match: 52 SD: 0.6544 cents 70 .. 140 match: 52 SD: 0.6128 cents 71 .. 142 match: 52 SD: 0.6067 cents 80 .. 160 match: 52 SD: 0.6055 cents 84 .. 168 match: 52 SD: 0.5739 cents 88 .. 176 match: 52 SD: 0.5621 cents 89 .. 178 match: 52 SD: 0.5441 cents 91 .. 182 match: 52 SD: 0.5291 cents 94 .. 188 match: 52 SD: 0.5200 cents 96 .. 192 match: 52 SD: 0.5018 cents 99 .. 198 match: 52 SD: 0.4923 cents 103 .. 206 match: 52 SD: 0.4920 cents 104 .. 208 match: 52 SD: 0.4656 cents 106 .. 212 match: 52 SD: 0.4504 cents 111 .. 222 match: 52 SD: 0.4362 cents 114 .. 228 match: 52 SD: 0.4112 cents 117 .. 234 match: 52 SD: 0.4020 cents 118 .. 236 match: 52 SD: 0.3997 cents 125 .. 250 match: 52 SD: 0.3864 cents 131 .. 262 match: 52 SD: 0.3751 cents 132 .. 264 match: 52 SD: 0.3325 cents 141 .. 282 match: 52 SD: 0.3207 cents 143 .. 286 match: 52 SD: 0.3024 cents 157 .. 314 match: 52 SD: 0.3019 cents 164 .. 328 match: 52 SD: 0.2886 cents 170 .. 340 match: 52 SD: 0.2842 cents 173 .. 346 match: 52 SD: 0.2740 cents 176 .. 352 match: 52 SD: 0.2615 cents 180 .. 360 match: 52 SD: 0.2606 cents 185 .. 370 match: 52 SD: 0.2536 cents 190 .. 380 match: 52 SD: 0.2387 cents 195 .. 390 match: 52 SD: 0.2312 cents 203 .. 406 match: 52 SD: 0.2165 cents 215 .. 430 match: 52 SD: 0.2131 cents 217 .. 434 match: 52 SD: 0.1973 cents 232 .. 464 match: 52 SD: 0.1968 cents 243 .. 486 match: 52 SD: 0.1964 cents 248 .. 496 match: 52 SD: 0.1828 cents 252 .. 504 match: 52 SD: 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