Scala analysis: edo-54
54 equal divisions of the octave
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 22.222 cents 22.222222 2: 44.444 cents 44.444444 3: 66.667 cents 66.666667 4: 88.889 cents 88.888889 5: 111.111 cents 111.111111 6: 133.333 cents 133.333333 7: 155.556 cents 155.555556 8: 177.778 cents 177.777778 9: 200.000 cents 200.000000 10: 222.222 cents 222.222222 11: 244.444 cents 244.444444 12: 266.667 cents 266.666667 13: 288.889 cents 288.888889 14: 311.111 cents 311.111111 15: 333.333 cents 333.333333 16: 355.556 cents 355.555556 17: 377.778 cents 377.777778 18: 400.000 cents 400.000000 19: 422.222 cents 422.222222 20: 444.444 cents 444.444444 21: 466.667 cents 466.666667 22: 488.889 cents 488.888889 23: 511.111 cents 511.111111 24: 533.333 cents 533.333333 25: 555.556 cents 555.555556 26: 577.778 cents 577.777778 27: 600.000 cents 600.000000 28: 622.222 cents 622.222222 29: 644.444 cents 644.444444 30: 666.667 cents 666.666667 31: 688.889 cents 688.888889 32: 711.111 cents 711.111111 33: 733.333 cents 733.333333 34: 755.556 cents 755.555556 35: 777.778 cents 777.777778 36: 800.000 cents 800.000000 37: 822.222 cents 822.222222 38: 844.444 cents 844.444444 39: 866.667 cents 866.666667 40: 888.889 cents 888.888889 41: 911.111 cents 911.111111 42: 933.333 cents 933.333333 43: 955.556 cents 955.555556 44: 977.778 cents 977.777778 45: 1000.000 cents 1000.000000 46: 1022.222 cents 1022.222222 47: 1044.444 cents 1044.444444 48: 1066.667 cents 1066.666667 49: 1088.889 cents 1088.888889 50: 1111.111 cents 1111.111111 51: 1133.333 cents 1133.333333 52: 1155.556 cents 1155.555556 53: 1177.778 cents 1177.777778 54: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 22.2222 cents 22.2222 1: 22.2222 cents 22.2222 2: 22.2222 cents 22.2222 3: 22.2222 cents 22.2222 4: 22.2222 cents 22.2222 5: 22.2222 cents 22.2222 6: 22.2222 cents 22.2222 7: 22.2222 cents 22.2222 8: 22.2222 cents 22.2222 9: 22.2222 cents 22.2222 10: 22.2222 cents 22.2222 11: 22.2222 cents 22.2222 12: 22.2222 cents 22.2222 13: 22.2222 cents 22.2222 14: 22.2222 cents 22.2222 15: 22.2222 cents 22.2222 16: 22.2222 cents 22.2222 17: 22.2222 cents 22.2222 18: 22.2222 cents 22.2222 19: 22.2222 cents 22.2222 20: 22.2222 cents 22.2222 21: 22.2222 cents 22.2222 22: 22.2222 cents 22.2222 23: 22.2222 cents 22.2222 24: 22.2222 cents 22.2222 25: 22.2222 cents 22.2222 26: 22.2222 cents 22.2222 27: 22.2222 cents 22.2222 28: 22.2222 cents 22.2222 29: 22.2222 cents 22.2222 30: 22.2222 cents 22.2222 31: 22.2222 cents 22.2222 32: 22.2222 cents 22.2222 33: 22.2222 cents 22.2222 34: 22.2222 cents 22.2222 35: 22.2222 cents 22.2222 36: 22.2222 cents 22.2222 37: 22.2222 cents 22.2222 38: 22.2222 cents 22.2222 39: 22.2222 cents 22.2222 40: 22.2222 cents 22.2222 41: 22.2222 cents 22.2222 42: 22.2222 cents 22.2222 43: 22.2222 cents 22.2222 44: 22.2222 cents 22.2222 45: 22.2222 cents 22.2222 46: 22.2222 cents 22.2222 47: 22.2222 cents 22.2222 48: 22.2222 cents 22.2222 49: 22.2222 cents 22.2222 50: 22.2222 cents 22.2222 51: 22.2222 cents 22.2222 52: 22.2222 cents 22.2222 53: 22.2222 cents 22.2222 54: 22.2222 cents 22.2222
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 54 22.22222 cents 2: 54 44.44444 cents 3: 54 66.66667 cents 4: 54 88.88889 cents 5: 54 111.11111 cents 6: 54 133.33333 cents 7: 54 155.55556 cents 8: 54 177.77778 cents 9: 54 200.00000 cents 10: 54 222.22222 cents 11: 54 244.44444 cents 12: 54 266.66667 cents 13: 54 288.88889 cents 14: 54 311.11111 cents 15: 54 333.33333 cents 16: 54 355.55556 cents 17: 54 377.77778 cents 18: 54 400.00000 cents 19: 54 422.22222 cents 20: 54 444.44444 cents 21: 54 466.66667 cents 22: 54 488.88889 cents 23: 54 511.11111 cents 24: 54 533.33333 cents 25: 54 555.55556 cents 26: 54 577.77778 cents 27: 54 600.00000 cents 28: 54 622.22222 cents 29: 54 644.44444 cents 30: 54 666.66667 cents 31: 54 688.88889 cents 32: 54 711.11111 cents 33: 54 733.33333 cents 34: 54 755.55556 cents 35: 54 777.77778 cents 36: 54 800.00000 cents 37: 54 822.22222 cents 38: 54 844.44444 cents 39: 54 866.66667 cents 40: 54 888.88889 cents 41: 54 911.11111 cents 42: 54 933.33333 cents 43: 54 955.55556 cents 44: 54 977.77778 cents 45: 54 1000.00000 cents 46: 54 1022.22222 cents 47: 54 1044.44444 cents 48: 54 1066.66667 cents 49: 54 1088.88889 cents 50: 54 1111.11111 cents 51: 54 1133.33333 cents 52: 54 1155.55556 cents 53: 54 1177.77778 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 53 54 0.0 : 22.2 44.4 66.7 88.9 111.1 133.3 155.6 177.8 200.0 222.2 244.4 266.7 288.9 311.1 333.3 355.6 377.8 400.0 422.2 444.4 466.7 488.9 511.1 533.3 555.6 577.8 600.0 622.2 644.4 666.7 688.9 711.1 733.3 755.6 777.8 800.0 822.2 844.4 866.7 888.9 911.1 933.3 955.6 977.8 1000.0 1022.2 1044.4 1066.7 1088.9 1111.1 1133.3 1155.6 1177.8 1200.0 22.2 : 22.2 44.4 66.7 88.9 111.1 133.3 155.6 177.8 200.0 222.2 244.4 266.7 288.9 311.1 333.3 355.6 377.8 400.0 422.2 444.4 466.7 488.9 511.1 533.3 555.6 577.8 600.0 622.2 644.4 666.7 688.9 711.1 733.3 755.6 777.8 800.0 822.2 844.4 866.7 888.9 911.1 933.3 955.6 977.8 1000.0 1022.2 1044.4 1066.7 1088.9 1111.1 1133.3 1155.6 1177.8 1200.0 44.4 : 22.2 44.4 66.7 88.9 111.1 133.3 155.6 177.8 200.0 222.2 244.4 266.7 288.9 311.1 333.3 355.6 377.8 400.0 422.2 444.4 466.7 488.9 511.1 533.3 555.6 577.8 600.0 622.2 644.4 666.7 688.9 711.1 733.3 755.6 777.8 800.0 822.2 844.4 866.7 888.9 911.1 933.3 955.6 977.8 1000.0 1022.2 1044.4 1066.7 1088.9 1111.1 1133.3 1155.6 1177.8 1200.0 66.7 : 22.2 44.4 66.7 88.9 111.1 133.3 155.6 177.8 200.0 222.2 244.4 266.7 288.9 311.1 333.3 355.6 377.8 400.0 422.2 444.4 466.7 488.9 511.1 533.3 555.6 577.8 600.0 622.2 644.4 666.7 688.9 711.1 733.3 755.6 777.8 800.0 822.2 844.4 866.7 888.9 911.1 933.3 955.6 977.8 1000.0 1022.2 1044.4 1066.7 1088.9 1111.1 1133.3 1155.6 1177.8 1200.0 88.9 : 22.2 44.4 66.7 88.9 111.1 133.3 155.6 177.8 200.0 222.2 244.4 266.7 288.9 311.1 333.3 355.6 377.8 400.0 422.2 444.4 466.7 488.9 511.1 533.3 555.6 577.8 600.0 622.2 644.4 666.7 688.9 711.1 733.3 755.6 777.8 800.0 822.2 844.4 866.7 888.9 911.1 933.3 955.6 977.8 1000.0 1022.2 1044.4 1066.7 1088.9 1111.1 1133.3 1155.6 1177.8 1200.0 111.1 : 22.2 44.4 66.7 88.9 111.1 133.3 155.6 177.8 200.0 222.2 244.4 266.7 288.9 311.1 333.3 355.6 377.8 400.0 422.2 444.4 466.7 488.9 511.1 533.3 555.6 577.8 600.0 622.2 644.4 666.7 688.9 711.1 733.3 755.6 777.8 800.0 822.2 844.4 866.7 888.9 911.1 933.3 955.6 977.8 1000.0 1022.2 1044.4 1066.7 1088.9 1111.1 1133.3 1155.6 1177.8 1200.0 133.3 : 22.2 44.4 66.7 88.9 111.1 133.3 155.6 177.8 200.0 222.2 244.4 266.7 288.9 311.1 333.3 355.6 377.8 400.0 422.2 444.4 466.7 488.9 511.1 533.3 555.6 577.8 600.0 622.2 644.4 666.7 688.9 711.1 733.3 755.6 777.8 800.0 822.2 844.4 866.7 888.9 911.1 933.3 955.6 977.8 1000.0 1022.2 1044.4 1066.7 1088.9 1111.1 1133.3 1155.6 1177.8 1200.0 155.6 : 22.2 44.4 66.7 88.9 111.1 133.3 155.6 177.8 200.0 222.2 244.4 266.7 288.9 311.1 333.3 355.6 377.8 400.0 422.2 444.4 466.7 488.9 511.1 533.3 555.6 577.8 600.0 622.2 644.4 666.7 688.9 711.1 733.3 755.6 777.8 800.0 822.2 844.4 866.7 888.9 911.1 933.3 955.6 977.8 1000.0 1022.2 1044.4 1066.7 1088.9 1111.1 1133.3 1155.6 1177.8 1200.0 177.8 : 22.2 44.4 66.7 88.9 111.1 133.3 155.6 177.8 200.0 222.2 244.4 266.7 288.9 311.1 333.3 355.6 377.8 400.0 422.2 444.4 466.7 488.9 511.1 533.3 555.6 577.8 600.0 622.2 644.4 666.7 688.9 711.1 733.3 755.6 777.8 800.0 822.2 844.4 866.7 888.9 911.1 933.3 955.6 977.8 1000.0 1022.2 1044.4 1066.7 1088.9 1111.1 1133.3 1155.6 1177.8 1200.0 200.0 : 22.2 44.4 66.7 88.9 111.1 133.3 155.6 177.8 200.0 222.2 244.4 266.7 288.9 311.1 333.3 355.6 377.8 400.0 422.2 444.4 466.7 488.9 511.1 533.3 555.6 577.8 600.0 622.2 644.4 666.7 688.9 711.1 733.3 755.6 777.8 800.0 822.2 844.4 866.7 888.9 911.1 933.3 955.6 977.8 1000.0 1022.2 1044.4 1066.7 1088.9 1111.1 1133.3 1155.6 1177.8 1200.0 222.2 : 22.2 44.4 66.7 88.9 111.1 133.3 155.6 177.8 200.0 222.2 244.4 266.7 288.9 311.1 333.3 355.6 377.8 400.0 422.2 444.4 466.7 488.9 511.1 533.3 555.6 577.8 600.0 622.2 644.4 666.7 688.9 711.1 733.3 755.6 777.8 800.0 822.2 844.4 866.7 888.9 911.1 933.3 955.6 977.8 1000.0 1022.2 1044.4 1066.7 1088.9 1111.1 1133.3 1155.6 1177.8 1200.0 244.4 : 22.2 44.4 66.7 88.9 111.1 133.3 155.6 177.8 200.0 222.2 244.4 266.7 288.9 311.1 333.3 355.6 377.8 400.0 422.2 444.4 466.7 488.9 511.1 533.3 555.6 577.8 600.0 622.2 644.4 666.7 688.9 711.1 733.3 755.6 777.8 800.0 822.2 844.4 866.7 888.9 911.1 933.3 955.6 977.8 1000.0 1022.2 1044.4 1066.7 1088.9 1111.1 1133.3 1155.6 1177.8 1200.0 266.7 : 22.2 44.4 66.7 88.9 111.1 133.3 155.6 177.8 200.0 222.2 244.4 266.7 288.9 311.1 333.3 355.6 377.8 400.0 422.2 444.4 466.7 488.9 511.1 533.3 555.6 577.8 600.0 622.2 644.4 666.7 688.9 711.1 733.3 755.6 777.8 800.0 822.2 844.4 866.7 888.9 911.1 933.3 955.6 977.8 1000.0 1022.2 1044.4 1066.7 1088.9 1111.1 1133.3 1155.6 1177.8 1200.0 288.9 : 22.2 44.4 66.7 88.9 111.1 133.3 155.6 177.8 200.0 222.2 244.4 266.7 288.9 311.1 333.3 355.6 377.8 400.0 422.2 444.4 466.7 488.9 511.1 533.3 555.6 577.8 600.0 622.2 644.4 666.7 688.9 711.1 733.3 755.6 777.8 800.0 822.2 844.4 866.7 888.9 911.1 933.3 955.6 977.8 1000.0 1022.2 1044.4 1066.7 1088.9 1111.1 1133.3 1155.6 1177.8 1200.0 311.1 : 22.2 44.4 66.7 88.9 111.1 133.3 155.6 177.8 200.0 222.2 244.4 266.7 288.9 311.1 333.3 355.6 377.8 400.0 422.2 444.4 466.7 488.9 511.1 533.3 555.6 577.8 600.0 622.2 644.4 666.7 688.9 711.1 733.3 755.6 777.8 800.0 822.2 844.4 866.7 888.9 911.1 933.3 955.6 977.8 1000.0 1022.2 1044.4 1066.7 1088.9 1111.1 1133.3 1155.6 1177.8 1200.0 333.3 : 22.2 44.4 66.7 88.9 111.1 133.3 155.6 177.8 200.0 222.2 244.4 266.7 288.9 311.1 333.3 355.6 377.8 400.0 422.2 444.4 466.7 488.9 511.1 533.3 555.6 577.8 600.0 622.2 644.4 666.7 688.9 711.1 733.3 755.6 777.8 800.0 822.2 844.4 866.7 888.9 911.1 933.3 955.6 977.8 1000.0 1022.2 1044.4 1066.7 1088.9 1111.1 1133.3 1155.6 1177.8 1200.0 355.6 : 22.2 44.4 66.7 88.9 111.1 133.3 155.6 177.8 200.0 222.2 244.4 266.7 288.9 311.1 333.3 355.6 377.8 400.0 422.2 444.4 466.7 488.9 511.1 533.3 555.6 577.8 600.0 622.2 644.4 666.7 688.9 711.1 733.3 755.6 777.8 800.0 822.2 844.4 866.7 888.9 911.1 933.3 955.6 977.8 1000.0 1022.2 1044.4 1066.7 1088.9 1111.1 1133.3 1155.6 1177.8 1200.0 377.8 : 22.2 44.4 66.7 88.9 111.1 133.3 155.6 177.8 200.0 222.2 244.4 266.7 288.9 311.1 333.3 355.6 377.8 400.0 422.2 444.4 466.7 488.9 511.1 533.3 555.6 577.8 600.0 622.2 644.4 666.7 688.9 711.1 733.3 755.6 777.8 800.0 822.2 844.4 866.7 888.9 911.1 933.3 955.6 977.8 1000.0 1022.2 1044.4 1066.7 1088.9 1111.1 1133.3 1155.6 1177.8 1200.0 400.0 : 22.2 44.4 66.7 88.9 111.1 133.3 155.6 177.8 200.0 222.2 244.4 266.7 288.9 311.1 333.3 355.6 377.8 400.0 422.2 444.4 466.7 488.9 511.1 533.3 555.6 577.8 600.0 622.2 644.4 666.7 688.9 711.1 733.3 755.6 777.8 800.0 822.2 844.4 866.7 888.9 911.1 933.3 955.6 977.8 1000.0 1022.2 1044.4 1066.7 1088.9 1111.1 1133.3 1155.6 1177.8 1200.0 422.2 : 22.2 44.4 66.7 88.9 111.1 133.3 155.6 177.8 200.0 222.2 244.4 266.7 288.9 311.1 333.3 355.6 377.8 400.0 422.2 444.4 466.7 488.9 511.1 533.3 555.6 577.8 600.0 622.2 644.4 666.7 688.9 711.1 733.3 755.6 777.8 800.0 822.2 844.4 866.7 888.9 911.1 933.3 955.6 977.8 1000.0 1022.2 1044.4 1066.7 1088.9 1111.1 1133.3 1155.6 1177.8 1200.0 444.4 : 22.2 44.4 66.7 88.9 111.1 133.3 155.6 177.8 200.0 222.2 244.4 266.7 288.9 311.1 333.3 355.6 377.8 400.0 422.2 444.4 466.7 488.9 511.1 533.3 555.6 577.8 600.0 622.2 644.4 666.7 688.9 711.1 733.3 755.6 777.8 800.0 822.2 844.4 866.7 888.9 911.1 933.3 955.6 977.8 1000.0 1022.2 1044.4 1066.7 1088.9 1111.1 1133.3 1155.6 1177.8 1200.0 466.7 : 22.2 44.4 66.7 88.9 111.1 133.3 155.6 177.8 200.0 222.2 244.4 266.7 288.9 311.1 333.3 355.6 377.8 400.0 422.2 444.4 466.7 488.9 511.1 533.3 555.6 577.8 600.0 622.2 644.4 666.7 688.9 711.1 733.3 755.6 777.8 800.0 822.2 844.4 866.7 888.9 911.1 933.3 955.6 977.8 1000.0 1022.2 1044.4 1066.7 1088.9 1111.1 1133.3 1155.6 1177.8 1200.0 488.9 : 22.2 44.4 66.7 88.9 111.1 133.3 155.6 177.8 200.0 222.2 244.4 266.7 288.9 311.1 333.3 355.6 377.8 400.0 422.2 444.4 466.7 488.9 511.1 533.3 555.6 577.8 600.0 622.2 644.4 666.7 688.9 711.1 733.3 755.6 777.8 800.0 822.2 844.4 866.7 888.9 911.1 933.3 955.6 977.8 1000.0 1022.2 1044.4 1066.7 1088.9 1111.1 1133.3 1155.6 1177.8 1200.0 511.1 : 22.2 44.4 66.7 88.9 111.1 133.3 155.6 177.8 200.0 222.2 244.4 266.7 288.9 311.1 333.3 355.6 377.8 400.0 422.2 444.4 466.7 488.9 511.1 533.3 555.6 577.8 600.0 622.2 644.4 666.7 688.9 711.1 733.3 755.6 777.8 800.0 822.2 844.4 866.7 888.9 911.1 933.3 955.6 977.8 1000.0 1022.2 1044.4 1066.7 1088.9 1111.1 1133.3 1155.6 1177.8 1200.0 533.3 : 22.2 44.4 66.7 88.9 111.1 133.3 155.6 177.8 200.0 222.2 244.4 266.7 288.9 311.1 333.3 355.6 377.8 400.0 422.2 444.4 466.7 488.9 511.1 533.3 555.6 577.8 600.0 622.2 644.4 666.7 688.9 711.1 733.3 755.6 777.8 800.0 822.2 844.4 866.7 888.9 911.1 933.3 955.6 977.8 1000.0 1022.2 1044.4 1066.7 1088.9 1111.1 1133.3 1155.6 1177.8 1200.0 555.6 : 22.2 44.4 66.7 88.9 111.1 133.3 155.6 177.8 200.0 222.2 244.4 266.7 288.9 311.1 333.3 355.6 377.8 400.0 422.2 444.4 466.7 488.9 511.1 533.3 555.6 577.8 600.0 622.2 644.4 666.7 688.9 711.1 733.3 755.6 777.8 800.0 822.2 844.4 866.7 888.9 911.1 933.3 955.6 977.8 1000.0 1022.2 1044.4 1066.7 1088.9 1111.1 1133.3 1155.6 1177.8 1200.0 577.8 : 22.2 44.4 66.7 88.9 111.1 133.3 155.6 177.8 200.0 222.2 244.4 266.7 288.9 311.1 333.3 355.6 377.8 400.0 422.2 444.4 466.7 488.9 511.1 533.3 555.6 577.8 600.0 622.2 644.4 666.7 688.9 711.1 733.3 755.6 777.8 800.0 822.2 844.4 866.7 888.9 911.1 933.3 955.6 977.8 1000.0 1022.2 1044.4 1066.7 1088.9 1111.1 1133.3 1155.6 1177.8 1200.0 600.0 : 22.2 44.4 66.7 88.9 111.1 133.3 155.6 177.8 200.0 222.2 244.4 266.7 288.9 311.1 333.3 355.6 377.8 400.0 422.2 444.4 466.7 488.9 511.1 533.3 555.6 577.8 600.0 622.2 644.4 666.7 688.9 711.1 733.3 755.6 777.8 800.0 822.2 844.4 866.7 888.9 911.1 933.3 955.6 977.8 1000.0 1022.2 1044.4 1066.7 1088.9 1111.1 1133.3 1155.6 1177.8 1200.0 622.2 : 22.2 44.4 66.7 88.9 111.1 133.3 155.6 177.8 200.0 222.2 244.4 266.7 288.9 311.1 333.3 355.6 377.8 400.0 422.2 444.4 466.7 488.9 511.1 533.3 555.6 577.8 600.0 622.2 644.4 666.7 688.9 711.1 733.3 755.6 777.8 800.0 822.2 844.4 866.7 888.9 911.1 933.3 955.6 977.8 1000.0 1022.2 1044.4 1066.7 1088.9 1111.1 1133.3 1155.6 1177.8 1200.0 644.4 : 22.2 44.4 66.7 88.9 111.1 133.3 155.6 177.8 200.0 222.2 244.4 266.7 288.9 311.1 333.3 355.6 377.8 400.0 422.2 444.4 466.7 488.9 511.1 533.3 555.6 577.8 600.0 622.2 644.4 666.7 688.9 711.1 733.3 755.6 777.8 800.0 822.2 844.4 866.7 888.9 911.1 933.3 955.6 977.8 1000.0 1022.2 1044.4 1066.7 1088.9 1111.1 1133.3 1155.6 1177.8 1200.0 666.7 : 22.2 44.4 66.7 88.9 111.1 133.3 155.6 177.8 200.0 222.2 244.4 266.7 288.9 311.1 333.3 355.6 377.8 400.0 422.2 444.4 466.7 488.9 511.1 533.3 555.6 577.8 600.0 622.2 644.4 666.7 688.9 711.1 733.3 755.6 777.8 800.0 822.2 844.4 866.7 888.9 911.1 933.3 955.6 977.8 1000.0 1022.2 1044.4 1066.7 1088.9 1111.1 1133.3 1155.6 1177.8 1200.0 688.9 : 22.2 44.4 66.7 88.9 111.1 133.3 155.6 177.8 200.0 222.2 244.4 266.7 288.9 311.1 333.3 355.6 377.8 400.0 422.2 444.4 466.7 488.9 511.1 533.3 555.6 577.8 600.0 622.2 644.4 666.7 688.9 711.1 733.3 755.6 777.8 800.0 822.2 844.4 866.7 888.9 911.1 933.3 955.6 977.8 1000.0 1022.2 1044.4 1066.7 1088.9 1111.1 1133.3 1155.6 1177.8 1200.0 711.1 : 22.2 44.4 66.7 88.9 111.1 133.3 155.6 177.8 200.0 222.2 244.4 266.7 288.9 311.1 333.3 355.6 377.8 400.0 422.2 444.4 466.7 488.9 511.1 533.3 555.6 577.8 600.0 622.2 644.4 666.7 688.9 711.1 733.3 755.6 777.8 800.0 822.2 844.4 866.7 888.9 911.1 933.3 955.6 977.8 1000.0 1022.2 1044.4 1066.7 1088.9 1111.1 1133.3 1155.6 1177.8 1200.0 733.3 : 22.2 44.4 66.7 88.9 111.1 133.3 155.6 177.8 200.0 222.2 244.4 266.7 288.9 311.1 333.3 355.6 377.8 400.0 422.2 444.4 466.7 488.9 511.1 533.3 555.6 577.8 600.0 622.2 644.4 666.7 688.9 711.1 733.3 755.6 777.8 800.0 822.2 844.4 866.7 888.9 911.1 933.3 955.6 977.8 1000.0 1022.2 1044.4 1066.7 1088.9 1111.1 1133.3 1155.6 1177.8 1200.0 755.6 : 22.2 44.4 66.7 88.9 111.1 133.3 155.6 177.8 200.0 222.2 244.4 266.7 288.9 311.1 333.3 355.6 377.8 400.0 422.2 444.4 466.7 488.9 511.1 533.3 555.6 577.8 600.0 622.2 644.4 666.7 688.9 711.1 733.3 755.6 777.8 800.0 822.2 844.4 866.7 888.9 911.1 933.3 955.6 977.8 1000.0 1022.2 1044.4 1066.7 1088.9 1111.1 1133.3 1155.6 1177.8 1200.0 777.8 : 22.2 44.4 66.7 88.9 111.1 133.3 155.6 177.8 200.0 222.2 244.4 266.7 288.9 311.1 333.3 355.6 377.8 400.0 422.2 444.4 466.7 488.9 511.1 533.3 555.6 577.8 600.0 622.2 644.4 666.7 688.9 711.1 733.3 755.6 777.8 800.0 822.2 844.4 866.7 888.9 911.1 933.3 955.6 977.8 1000.0 1022.2 1044.4 1066.7 1088.9 1111.1 1133.3 1155.6 1177.8 1200.0 800.0 : 22.2 44.4 66.7 88.9 111.1 133.3 155.6 177.8 200.0 222.2 244.4 266.7 288.9 311.1 333.3 355.6 377.8 400.0 422.2 444.4 466.7 488.9 511.1 533.3 555.6 577.8 600.0 622.2 644.4 666.7 688.9 711.1 733.3 755.6 777.8 800.0 822.2 844.4 866.7 888.9 911.1 933.3 955.6 977.8 1000.0 1022.2 1044.4 1066.7 1088.9 1111.1 1133.3 1155.6 1177.8 1200.0 822.2 : 22.2 44.4 66.7 88.9 111.1 133.3 155.6 177.8 200.0 222.2 244.4 266.7 288.9 311.1 333.3 355.6 377.8 400.0 422.2 444.4 466.7 488.9 511.1 533.3 555.6 577.8 600.0 622.2 644.4 666.7 688.9 711.1 733.3 755.6 777.8 800.0 822.2 844.4 866.7 888.9 911.1 933.3 955.6 977.8 1000.0 1022.2 1044.4 1066.7 1088.9 1111.1 1133.3 1155.6 1177.8 1200.0 844.4 : 22.2 44.4 66.7 88.9 111.1 133.3 155.6 177.8 200.0 222.2 244.4 266.7 288.9 311.1 333.3 355.6 377.8 400.0 422.2 444.4 466.7 488.9 511.1 533.3 555.6 577.8 600.0 622.2 644.4 666.7 688.9 711.1 733.3 755.6 777.8 800.0 822.2 844.4 866.7 888.9 911.1 933.3 955.6 977.8 1000.0 1022.2 1044.4 1066.7 1088.9 1111.1 1133.3 1155.6 1177.8 1200.0 866.7 : 22.2 44.4 66.7 88.9 111.1 133.3 155.6 177.8 200.0 222.2 244.4 266.7 288.9 311.1 333.3 355.6 377.8 400.0 422.2 444.4 466.7 488.9 511.1 533.3 555.6 577.8 600.0 622.2 644.4 666.7 688.9 711.1 733.3 755.6 777.8 800.0 822.2 844.4 866.7 888.9 911.1 933.3 955.6 977.8 1000.0 1022.2 1044.4 1066.7 1088.9 1111.1 1133.3 1155.6 1177.8 1200.0 888.9 : 22.2 44.4 66.7 88.9 111.1 133.3 155.6 177.8 200.0 222.2 244.4 266.7 288.9 311.1 333.3 355.6 377.8 400.0 422.2 444.4 466.7 488.9 511.1 533.3 555.6 577.8 600.0 622.2 644.4 666.7 688.9 711.1 733.3 755.6 777.8 800.0 822.2 844.4 866.7 888.9 911.1 933.3 955.6 977.8 1000.0 1022.2 1044.4 1066.7 1088.9 1111.1 1133.3 1155.6 1177.8 1200.0 911.1 : 22.2 44.4 66.7 88.9 111.1 133.3 155.6 177.8 200.0 222.2 244.4 266.7 288.9 311.1 333.3 355.6 377.8 400.0 422.2 444.4 466.7 488.9 511.1 533.3 555.6 577.8 600.0 622.2 644.4 666.7 688.9 711.1 733.3 755.6 777.8 800.0 822.2 844.4 866.7 888.9 911.1 933.3 955.6 977.8 1000.0 1022.2 1044.4 1066.7 1088.9 1111.1 1133.3 1155.6 1177.8 1200.0 933.3 : 22.2 44.4 66.7 88.9 111.1 133.3 155.6 177.8 200.0 222.2 244.4 266.7 288.9 311.1 333.3 355.6 377.8 400.0 422.2 444.4 466.7 488.9 511.1 533.3 555.6 577.8 600.0 622.2 644.4 666.7 688.9 711.1 733.3 755.6 777.8 800.0 822.2 844.4 866.7 888.9 911.1 933.3 955.6 977.8 1000.0 1022.2 1044.4 1066.7 1088.9 1111.1 1133.3 1155.6 1177.8 1200.0 955.6 : 22.2 44.4 66.7 88.9 111.1 133.3 155.6 177.8 200.0 222.2 244.4 266.7 288.9 311.1 333.3 355.6 377.8 400.0 422.2 444.4 466.7 488.9 511.1 533.3 555.6 577.8 600.0 622.2 644.4 666.7 688.9 711.1 733.3 755.6 777.8 800.0 822.2 844.4 866.7 888.9 911.1 933.3 955.6 977.8 1000.0 1022.2 1044.4 1066.7 1088.9 1111.1 1133.3 1155.6 1177.8 1200.0 977.8 : 22.2 44.4 66.7 88.9 111.1 133.3 155.6 177.8 200.0 222.2 244.4 266.7 288.9 311.1 333.3 355.6 377.8 400.0 422.2 444.4 466.7 488.9 511.1 533.3 555.6 577.8 600.0 622.2 644.4 666.7 688.9 711.1 733.3 755.6 777.8 800.0 822.2 844.4 866.7 888.9 911.1 933.3 955.6 977.8 1000.0 1022.2 1044.4 1066.7 1088.9 1111.1 1133.3 1155.6 1177.8 1200.0 1000.0: 22.2 44.4 66.7 88.9 111.1 133.3 155.6 177.8 200.0 222.2 244.4 266.7 288.9 311.1 333.3 355.6 377.8 400.0 422.2 444.4 466.7 488.9 511.1 533.3 555.6 577.8 600.0 622.2 644.4 666.7 688.9 711.1 733.3 755.6 777.8 800.0 822.2 844.4 866.7 888.9 911.1 933.3 955.6 977.8 1000.0 1022.2 1044.4 1066.7 1088.9 1111.1 1133.3 1155.6 1177.8 1200.0 1022.2: 22.2 44.4 66.7 88.9 111.1 133.3 155.6 177.8 200.0 222.2 244.4 266.7 288.9 311.1 333.3 355.6 377.8 400.0 422.2 444.4 466.7 488.9 511.1 533.3 555.6 577.8 600.0 622.2 644.4 666.7 688.9 711.1 733.3 755.6 777.8 800.0 822.2 844.4 866.7 888.9 911.1 933.3 955.6 977.8 1000.0 1022.2 1044.4 1066.7 1088.9 1111.1 1133.3 1155.6 1177.8 1200.0 1044.4: 22.2 44.4 66.7 88.9 111.1 133.3 155.6 177.8 200.0 222.2 244.4 266.7 288.9 311.1 333.3 355.6 377.8 400.0 422.2 444.4 466.7 488.9 511.1 533.3 555.6 577.8 600.0 622.2 644.4 666.7 688.9 711.1 733.3 755.6 777.8 800.0 822.2 844.4 866.7 888.9 911.1 933.3 955.6 977.8 1000.0 1022.2 1044.4 1066.7 1088.9 1111.1 1133.3 1155.6 1177.8 1200.0 1066.7: 22.2 44.4 66.7 88.9 111.1 133.3 155.6 177.8 200.0 222.2 244.4 266.7 288.9 311.1 333.3 355.6 377.8 400.0 422.2 444.4 466.7 488.9 511.1 533.3 555.6 577.8 600.0 622.2 644.4 666.7 688.9 711.1 733.3 755.6 777.8 800.0 822.2 844.4 866.7 888.9 911.1 933.3 955.6 977.8 1000.0 1022.2 1044.4 1066.7 1088.9 1111.1 1133.3 1155.6 1177.8 1200.0 1088.9: 22.2 44.4 66.7 88.9 111.1 133.3 155.6 177.8 200.0 222.2 244.4 266.7 288.9 311.1 333.3 355.6 377.8 400.0 422.2 444.4 466.7 488.9 511.1 533.3 555.6 577.8 600.0 622.2 644.4 666.7 688.9 711.1 733.3 755.6 777.8 800.0 822.2 844.4 866.7 888.9 911.1 933.3 955.6 977.8 1000.0 1022.2 1044.4 1066.7 1088.9 1111.1 1133.3 1155.6 1177.8 1200.0 1111.1: 22.2 44.4 66.7 88.9 111.1 133.3 155.6 177.8 200.0 222.2 244.4 266.7 288.9 311.1 333.3 355.6 377.8 400.0 422.2 444.4 466.7 488.9 511.1 533.3 555.6 577.8 600.0 622.2 644.4 666.7 688.9 711.1 733.3 755.6 777.8 800.0 822.2 844.4 866.7 888.9 911.1 933.3 955.6 977.8 1000.0 1022.2 1044.4 1066.7 1088.9 1111.1 1133.3 1155.6 1177.8 1200.0 1133.3: 22.2 44.4 66.7 88.9 111.1 133.3 155.6 177.8 200.0 222.2 244.4 266.7 288.9 311.1 333.3 355.6 377.8 400.0 422.2 444.4 466.7 488.9 511.1 533.3 555.6 577.8 600.0 622.2 644.4 666.7 688.9 711.1 733.3 755.6 777.8 800.0 822.2 844.4 866.7 888.9 911.1 933.3 955.6 977.8 1000.0 1022.2 1044.4 1066.7 1088.9 1111.1 1133.3 1155.6 1177.8 1200.0 1155.6: 22.2 44.4 66.7 88.9 111.1 133.3 155.6 177.8 200.0 222.2 244.4 266.7 288.9 311.1 333.3 355.6 377.8 400.0 422.2 444.4 466.7 488.9 511.1 533.3 555.6 577.8 600.0 622.2 644.4 666.7 688.9 711.1 733.3 755.6 777.8 800.0 822.2 844.4 866.7 888.9 911.1 933.3 955.6 977.8 1000.0 1022.2 1044.4 1066.7 1088.9 1111.1 1133.3 1155.6 1177.8 1200.0 1177.8: 22.2 44.4 66.7 88.9 111.1 133.3 155.6 177.8 200.0 222.2 244.4 266.7 288.9 311.1 333.3 355.6 377.8 400.0 422.2 444.4 466.7 488.9 511.1 533.3 555.6 577.8 600.0 622.2 644.4 666.7 688.9 711.1 733.3 755.6 777.8 800.0 822.2 844.4 866.7 888.9 911.1 933.3 955.6 977.8 1000.0 1022.2 1044.4 1066.7 1088.9 1111.1 1133.3 1155.6 1177.8 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 22.2222 .. 22.2222 cents 1/1, 0.0000 cents 22.22222 cents 2: 44.4444 .. 44.4444 cents 1/1, 0.0000 cents 22.22222 cents 3: 66.6667 .. 66.6667 cents 1/1, 0.0000 cents 22.22222 cents 4: 88.8889 .. 88.8889 cents 1/1, 0.0000 cents 22.22222 cents 5: 111.1111 .. 111.1111 cents 1/1, 0.0000 cents 22.22222 cents 6: 133.3333 .. 133.3333 cents 1/1, 0.0000 cents 22.22222 cents 7: 155.5556 .. 155.5556 cents 1/1, 0.0000 cents 22.22222 cents 8: 177.7778 .. 177.7778 cents 1/1, 0.0000 cents 22.22222 cents 9: 200.0000 .. 200.0000 cents 1/1, 0.0000 cents 22.22222 cents 10: 222.2222 .. 222.2222 cents 1/1, 0.0000 cents 22.22222 cents 11: 244.4444 .. 244.4444 cents 1/1, 0.0000 cents 22.22222 cents 12: 266.6667 .. 266.6667 cents 1/1, 0.0000 cents 22.22222 cents 13: 288.8889 .. 288.8889 cents 1/1, 0.0000 cents 22.22222 cents 14: 311.1111 .. 311.1111 cents 1/1, 0.0000 cents 22.22222 cents 15: 333.3333 .. 333.3333 cents 1/1, 0.0000 cents 22.22222 cents 16: 355.5556 .. 355.5556 cents 1/1, 0.0000 cents 22.22222 cents 17: 377.7778 .. 377.7778 cents 1/1, 0.0000 cents 22.22222 cents 18: 400.0000 .. 400.0000 cents 1/1, 0.0000 cents 22.22222 cents 19: 422.2222 .. 422.2222 cents 1/1, 0.0000 cents 22.22222 cents 20: 444.4444 .. 444.4444 cents 1/1, 0.0000 cents 22.22222 cents 21: 466.6667 .. 466.6667 cents 1/1, 0.0000 cents 22.22222 cents 22: 488.8889 .. 488.8889 cents 1/1, 0.0000 cents 22.22222 cents 23: 511.1111 .. 511.1111 cents 1/1, 0.0000 cents 22.22222 cents 24: 533.3333 .. 533.3333 cents 1/1, 0.0000 cents 22.22222 cents 25: 555.5556 .. 555.5556 cents 1/1, 0.0000 cents 22.22222 cents 26: 577.7778 .. 577.7778 cents 1/1, 0.0000 cents 22.22222 cents 27: 600.0000 .. 600.0000 cents 1/1, 0.0000 cents 22.22222 cents 28: 622.2222 .. 622.2222 cents 1/1, 0.0000 cents 22.22222 cents 29: 644.4444 .. 644.4444 cents 1/1, 0.0000 cents 22.22222 cents 30: 666.6667 .. 666.6667 cents 1/1, 0.0000 cents 22.22222 cents 31: 688.8889 .. 688.8889 cents 1/1, 0.0000 cents 22.22222 cents 32: 711.1111 .. 711.1111 cents 1/1, 0.0000 cents 22.22222 cents 33: 733.3333 .. 733.3333 cents 1/1, 0.0000 cents 22.22222 cents 34: 755.5556 .. 755.5556 cents 1/1, 0.0000 cents 22.22222 cents 35: 777.7778 .. 777.7778 cents 1/1, 0.0000 cents 22.22222 cents 36: 800.0000 .. 800.0000 cents 1/1, 0.0000 cents 22.22222 cents 37: 822.2222 .. 822.2222 cents 1/1, 0.0000 cents 22.22222 cents 38: 844.4444 .. 844.4444 cents 1/1, 0.0000 cents 22.22222 cents 39: 866.6667 .. 866.6667 cents 1/1, 0.0000 cents 22.22222 cents 40: 888.8889 .. 888.8889 cents 1/1, 0.0000 cents 22.22222 cents 41: 911.1111 .. 911.1111 cents 1/1, 0.0000 cents 22.22222 cents 42: 933.3333 .. 933.3333 cents 1/1, 0.0000 cents 22.22222 cents 43: 955.5556 .. 955.5556 cents 1/1, 0.0000 cents 22.22222 cents 44: 977.7778 .. 977.7778 cents 1/1, 0.0000 cents 22.22222 cents 45: 1000.0000 .. 1000.0000 cents 1/1, 0.0000 cents 22.22222 cents 46: 1022.2222 .. 1022.2222 cents 1/1, 0.0000 cents 22.22222 cents 47: 1044.4444 .. 1044.4444 cents 1/1, 0.0000 cents 22.22222 cents 48: 1066.6667 .. 1066.6667 cents 1/1, 0.0000 cents 22.22222 cents 49: 1088.8889 .. 1088.8889 cents 1/1, 0.0000 cents 22.22222 cents 50: 1111.1111 .. 1111.1111 cents 1/1, 0.0000 cents 22.22222 cents 51: 1133.3333 .. 1133.3333 cents 1/1, 0.0000 cents 22.22222 cents 52: 1155.5556 .. 1155.5556 cents 1/1, 0.0000 cents 22.22222 cents 53: 1177.7778 .. 1177.7778 cents 1/1, 0.0000 cents 22.22222 cents
SHOW DATA
Number of notes : 54 -- Interval properties -- Smallest interval : 22.22222 cents, class 1 Average step (divided formal octave): 22.2222 cents Largest one step interval : 22.22222 cents Average / Smallest step : 1.000000 Largest / Average step : 1.000000 Largest / Smallest step : 1.000000 Median interval of one step : 22.22222 cents, amount: 54 Most common interval of one step : 22.22222 cents, amount: 54 Least squares average step : 22.22222 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 22.22222 cents Ratio Whole / Half tone : 5.000000 ( 5 ) Scale diversity : 1.000000 Rothenberg stability : 1.000000 = 1 Lumma stability : 1.000000 Rothenberg efficiency : 0.018519 redundancy: 0.981481 Efficiency x scale size : 1.000000 Number of different interval sizes : 53 = 1.00000 / class Number of one step interval sizes : 1 Mean interval variety : 1.00000 = 1 Lowest interval variety : 1 Number of recognisable fifths : 108, average 700.0000 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
54: 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 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: 4.5781 cents 3 .. 6 match: 3 H SD: 3.4052 cents 4 .. 8 match: 4 H SD: 3.8473 cents 5 .. 10 match: 5 H SD: 2.3426 cents 6 .. 12 match: 6 H SD: 2.4291 cents 7 .. 14 match: 7 H SD: 2.2029 cents 8 .. 16 match: 8 H SD: 2.1132 cents 9 .. 18 match: 9 H SD: 2.3769 cents 10 .. 20 match: 10 H SD: 2.1505 cents 11 .. 22 match: 11 H SD: 1.8051 cents 12 .. 24 match: 12 H SD: 1.8082 cents 13 .. 26 match: 13 H SD: 1.7200 cents 14 .. 28 match: 14 H SD: 1.5984 cents 15 .. 30 match: 15 H SD: 1.5770 cents 16 .. 32 match: 16 H SD: 1.6183 cents 17 .. 34 match: 17 H SD: 1.5139 cents 18 .. 36 match: 18 H SD: 1.5375 cents 19 .. 38 match: 19 H SD: 1.4162 cents 20 .. 40 match: 20 H SD: 1.3481 cents 21 .. 42 match: 21 H SD: 1.3565 cents 22 .. 44 match: 22 H SD: 1.5063 cents 23 .. 46 match: 23 H SD: 1.3164 cents 24 .. 48 match: 24 H SD: 1.2352 cents 25 .. 50 match: 25 H SD: 1.3605 cents 26 .. 52 match: 26 H SD: 1.4024 cents 27 .. 54 match: 27 H SD: 1.3627 cents 28 .. 56 match: 28 H SD: 1.1958 cents 29 .. 58 match: 29 H SD: 1.1020 cents 30 .. 60 match: 30 H SD: 1.1775 cents 31 .. 62 match: 31 H SD: 1.1320 cents 32 .. 64 match: 32 H SD: 1.1139 cents 33 .. 66 match: 33 H SD: 1.0386 cents 34 .. 68 match: 34 H SD: 1.1947 cents 35 .. 70 match: 35 H SD: 1.0728 cents 36 .. 72 match: 36 H SD: 0.9976 cents 37 .. 74 match: 37 H SD: 0.9967 cents 38 .. 76 match: 38 H SD: 0.9663 cents 39 .. 78 match: 39 H SD: 0.9492 cents 40 .. 80 match: 40 H SD: 0.9175 cents 41 .. 82 match: 41 H SD: 0.9031 cents 42 .. 84 match: 42 H SD: 0.8809 cents 43 .. 86 match: 43 H SD: 0.9612 cents 44 .. 88 match: 43 SD: 1.1121 cents 45 .. 90 match: 44 SD: 0.9342 cents 46 .. 92 match: 45 SD: 0.8477 cents 47 .. 94 match: 46 S SD: 0.9720 cents 48 .. 96 match: 46 S SD: 0.9161 cents 49 .. 98 match: 47 S SD: 0.8108 cents 50 .. 100 match: 47 SD: 1.0103 cents 51 .. 102 match: 48 SD: 0.7853 cents 52 .. 104 match: 48 SD: 0.9924 cents 53 .. 106 match: 49 SD: 0.7540 cents 54 .. 108 match: 49 SD: 0.9507 cents 55 .. 110 match: 50 SD: 0.7522 cents 56 .. 112 match: 50 SD: 0.8436 cents 57 .. 114 match: 51 SD: 0.8520 cents 58 .. 116 match: 51 SD: 0.7150 cents 59 .. 118 match: 51 SD: 0.8611 cents 60 .. 120 match: 52 SD: 0.8362 cents 61 .. 122 match: 52 SD: 0.6896 cents 62 .. 124 match: 52 SD: 0.7557 cents 63 .. 126 match: 52 SD: 0.8550 cents 64 .. 128 match: 53 SD: 0.7756 cents 65 .. 130 match: 53 SD: 0.6571 cents 66 .. 132 match: 53 SD: 0.6644 cents 67 .. 134 match: 53 SD: 0.7403 cents 68 .. 136 match: 53 SD: 0.8041 cents 69 .. 138 match: 53 SD: 0.8278 cents 70 .. 140 match: 54 SD: 0.7488 cents 71 .. 142 match: 54 SD: 0.6439 cents 72 .. 144 match: 54 SD: 0.6029 cents 73 .. 146 match: 54 SD: 0.5892 cents 74 .. 148 match: 54 SD: 0.5866 cents 82 .. 164 match: 54 SD: 0.5866 cents 87 .. 174 match: 54 SD: 0.5676 cents 88 .. 176 match: 54 SD: 0.5366 cents 91 .. 182 match: 54 SD: 0.5299 cents 92 .. 184 match: 54 SD: 0.5289 cents 95 .. 190 match: 54 SD: 0.4942 cents 97 .. 194 match: 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