Scala analysis: rodan41
Rodan[41] in 128-et tuning
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 28.125 cents 28.125000 2: 56.250 cents 56.250000 3: 84.375 cents 84.375000 4: 112.500 cents 112.500000 5: 150.000 cents 150.000000 6: 178.125 cents 178.125000 7: 206.250 cents 206.250000 8: 234.375 cents 234.375000 9: 262.500 cents 262.500000 10: 290.625 cents 290.625000 11: 318.750 cents 318.750000 12: 346.875 cents 346.875000 13: 384.375 cents 384.375000 14: 412.500 cents 412.500000 15: 440.625 cents 440.625000 16: 468.750 cents 468.750000 17: 496.875 cents 496.875000 18: 525.000 cents 525.000000 19: 553.125 cents 553.125000 20: 581.250 cents 581.250000 21: 618.750 cents 618.750000 22: 646.875 cents 646.875000 23: 675.000 cents 675.000000 24: 703.125 cents 703.125000 25: 731.250 cents 731.250000 26: 759.375 cents 759.375000 27: 787.500 cents 787.500000 28: 815.625 cents 815.625000 29: 853.125 cents 853.125000 30: 881.250 cents 881.250000 31: 909.375 cents 909.375000 32: 937.500 cents 937.500000 33: 965.625 cents 965.625000 34: 993.750 cents 993.750000 35: 1021.875 cents 1021.875000 36: 1050.000 cents 1050.000000 37: 1087.500 cents 1087.500000 38: 1115.625 cents 1115.625000 39: 1143.750 cents 1143.750000 40: 1171.875 cents 1171.875000 41: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 28.1250 cents 28.1250 1: 28.1250 cents 28.1250 2: 28.1250 cents 28.1250 3: 28.1250 cents 28.1250 4: 28.1250 cents 28.1250 5: 37.5000 cents 37.5000 6: 28.1250 cents 28.1250 7: 28.1250 cents 28.1250 8: 28.1250 cents 28.1250 9: 28.1250 cents 28.1250 10: 28.1250 cents 28.1250 11: 28.1250 cents 28.1250 12: 28.1250 cents 28.1250 13: 37.5000 cents 37.5000 14: 28.1250 cents 28.1250 15: 28.1250 cents 28.1250 16: 28.1250 cents 28.1250 17: 28.1250 cents 28.1250 18: 28.1250 cents 28.1250 19: 28.1250 cents 28.1250 20: 28.1250 cents 28.1250 21: 37.5000 cents 37.5000 22: 28.1250 cents 28.1250 23: 28.1250 cents 28.1250 24: 28.1250 cents 28.1250 25: 28.1250 cents 28.1250 26: 28.1250 cents 28.1250 27: 28.1250 cents 28.1250 28: 28.1250 cents 28.1250 29: 37.5000 cents 37.5000 30: 28.1250 cents 28.1250 31: 28.1250 cents 28.1250 32: 28.1250 cents 28.1250 33: 28.1250 cents 28.1250 34: 28.1250 cents 28.1250 35: 28.1250 cents 28.1250 36: 28.1250 cents 28.1250 37: 37.5000 cents 37.5000 38: 28.1250 cents 28.1250 39: 28.1250 cents 28.1250 40: 28.1250 cents 28.1250 41: 28.1250 cents 28.1250
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 36 28.12500 cents 1: 5 37.50000 cents 2: 31 56.25000 cents 2: 10 65.62500 cents 3: 26 84.37500 cents 3: 15 93.75000 cents 4: 21 112.50000 cents 4: 20 121.87500 cents 5: 16 140.62500 cents 5: 25 150.00000 cents 6: 11 168.75000 cents 6: 30 178.12500 cents 7: 6 196.87500 cents 7: 35 206.25000 cents 8: 1 225.00000 cents 8: 40 234.37500 cents 9: 37 262.50000 cents 9: 4 271.87500 cents 10: 32 290.62500 cents 10: 9 300.00000 cents 11: 27 318.75000 cents 11: 14 328.12500 cents 12: 22 346.87500 cents 12: 19 356.25000 cents 13: 17 375.00000 cents 13: 24 384.37500 cents 14: 12 403.12500 cents 14: 29 412.50000 cents 15: 7 431.25000 cents 15: 34 440.62500 cents 16: 2 459.37500 cents 16: 39 468.75000 cents 17: 38 496.87500 cents 17: 3 506.25000 cents 18: 33 525.00000 cents 18: 8 534.37500 cents 19: 28 553.12500 cents 19: 13 562.50000 cents 20: 23 581.25000 cents 20: 18 590.62500 cents 21: 18 609.37500 cents 21: 23 618.75000 cents 22: 13 637.50000 cents 22: 28 646.87500 cents 23: 8 665.62500 cents 23: 33 675.00000 cents 24: 3 693.75000 cents 24: 38 703.12500 cents 25: 39 731.25000 cents 25: 2 740.62500 cents 26: 34 759.37500 cents 26: 7 768.75000 cents 27: 29 787.50000 cents 27: 12 796.87500 cents 28: 24 815.62500 cents 28: 17 825.00000 cents 29: 19 843.75000 cents 29: 22 853.12500 cents 30: 14 871.87500 cents 30: 27 881.25000 cents 31: 9 900.00000 cents 31: 32 909.37500 cents 32: 4 928.12500 cents 32: 37 937.50000 cents 33: 40 965.62500 cents 33: 1 975.00000 cents 34: 35 993.75000 cents 34: 6 1003.12500 cents 35: 30 1021.87500 cents 35: 11 1031.25000 cents 36: 25 1050.00000 cents 36: 16 1059.37500 cents 37: 20 1078.12500 cents 37: 21 1087.50000 cents 38: 15 1106.25000 cents 38: 26 1115.62500 cents 39: 10 1134.37500 cents 39: 31 1143.75000 cents 40: 5 1162.50000 cents 40: 36 1171.87500 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 38 39 40 41 0.0 : 28.1 56.2 84.4 112.5 150.0 178.1 206.2 234.4 262.5 290.6 318.7 346.9 384.4 412.5 440.6 468.8 496.9 525.0 553.1 581.3 618.8 646.9 675.0 703.1 731.2 759.4 787.5 815.6 853.1 881.3 909.4 937.5 965.6 993.8 1021.9 1050.0 1087.5 1115.6 1143.7 1171.9 1200.0 28.1 : 28.1 56.2 84.4 121.9 150.0 178.1 206.2 234.4 262.5 290.6 318.7 356.3 384.4 412.5 440.6 468.8 496.9 525.0 553.1 590.6 618.8 646.9 675.0 703.1 731.2 759.4 787.5 825.0 853.1 881.2 909.4 937.5 965.6 993.8 1021.9 1059.4 1087.5 1115.6 1143.7 1171.9 1200.0 56.2 : 28.1 56.2 93.8 121.9 150.0 178.1 206.2 234.4 262.5 290.6 328.1 356.3 384.4 412.5 440.6 468.7 496.9 525.0 562.5 590.6 618.8 646.9 675.0 703.1 731.3 759.4 796.9 825.0 853.1 881.3 909.4 937.5 965.6 993.8 1031.3 1059.4 1087.5 1115.6 1143.8 1171.9 1200.0 84.4 : 28.1 65.6 93.8 121.9 150.0 178.1 206.2 234.4 262.5 300.0 328.1 356.3 384.4 412.5 440.6 468.8 496.9 534.4 562.5 590.6 618.8 646.9 675.0 703.1 731.3 768.8 796.9 825.0 853.1 881.3 909.4 937.5 965.6 1003.1 1031.3 1059.4 1087.5 1115.6 1143.8 1171.9 1200.0 112.5 : 37.5 65.6 93.7 121.9 150.0 178.1 206.2 234.4 271.9 300.0 328.1 356.3 384.4 412.5 440.6 468.8 506.2 534.4 562.5 590.6 618.7 646.9 675.0 703.1 740.6 768.8 796.9 825.0 853.1 881.2 909.4 937.5 975.0 1003.1 1031.2 1059.4 1087.5 1115.6 1143.7 1171.9 1200.0 150.0 : 28.1 56.2 84.4 112.5 140.6 168.7 196.9 234.4 262.5 290.6 318.7 346.9 375.0 403.1 431.3 468.8 496.9 525.0 553.1 581.2 609.4 637.5 665.6 703.1 731.3 759.4 787.5 815.6 843.7 871.9 900.0 937.5 965.6 993.8 1021.9 1050.0 1078.1 1106.3 1134.4 1162.5 1200.0 178.1 : 28.1 56.2 84.4 112.5 140.6 168.7 206.2 234.4 262.5 290.6 318.7 346.9 375.0 403.1 440.6 468.7 496.9 525.0 553.1 581.2 609.4 637.5 675.0 703.1 731.2 759.4 787.5 815.6 843.7 871.9 909.4 937.5 965.6 993.7 1021.9 1050.0 1078.1 1106.2 1134.4 1171.9 1200.0 206.2 : 28.1 56.2 84.4 112.5 140.6 178.1 206.2 234.4 262.5 290.6 318.7 346.9 375.0 412.5 440.6 468.8 496.9 525.0 553.1 581.3 609.4 646.9 675.0 703.1 731.3 759.4 787.5 815.6 843.8 881.3 909.4 937.5 965.6 993.8 1021.9 1050.0 1078.1 1106.3 1143.8 1171.9 1200.0 234.4 : 28.1 56.2 84.4 112.5 150.0 178.1 206.3 234.4 262.5 290.6 318.8 346.9 384.4 412.5 440.6 468.8 496.9 525.0 553.1 581.3 618.8 646.9 675.0 703.1 731.2 759.4 787.5 815.6 853.1 881.3 909.4 937.5 965.6 993.8 1021.9 1050.0 1078.1 1115.6 1143.8 1171.9 1200.0 262.5 : 28.1 56.2 84.4 121.9 150.0 178.1 206.3 234.4 262.5 290.6 318.8 356.3 384.4 412.5 440.6 468.7 496.9 525.0 553.1 590.6 618.8 646.9 675.0 703.1 731.2 759.4 787.5 825.0 853.1 881.3 909.4 937.5 965.6 993.8 1021.9 1050.0 1087.5 1115.6 1143.7 1171.9 1200.0 290.6 : 28.1 56.2 93.8 121.9 150.0 178.1 206.2 234.4 262.5 290.6 328.1 356.3 384.4 412.5 440.6 468.8 496.9 525.0 562.5 590.6 618.8 646.9 675.0 703.1 731.3 759.4 796.9 825.0 853.1 881.3 909.4 937.5 965.6 993.8 1021.9 1059.4 1087.5 1115.6 1143.7 1171.9 1200.0 318.7 : 28.1 65.6 93.8 121.9 150.0 178.1 206.2 234.4 262.5 300.0 328.1 356.3 384.4 412.5 440.6 468.8 496.9 534.4 562.5 590.6 618.8 646.9 675.0 703.1 731.3 768.8 796.9 825.0 853.1 881.3 909.4 937.5 965.6 993.8 1031.3 1059.4 1087.5 1115.6 1143.8 1171.9 1200.0 346.9 : 37.5 65.6 93.8 121.9 150.0 178.1 206.3 234.4 271.9 300.0 328.1 356.3 384.4 412.5 440.6 468.8 506.3 534.4 562.5 590.6 618.8 646.9 675.0 703.1 740.6 768.8 796.9 825.0 853.1 881.3 909.4 937.5 965.6 1003.1 1031.3 1059.4 1087.5 1115.6 1143.8 1171.9 1200.0 384.4 : 28.1 56.2 84.4 112.5 140.6 168.7 196.9 234.4 262.5 290.6 318.7 346.9 375.0 403.1 431.3 468.7 496.9 525.0 553.1 581.2 609.4 637.5 665.6 703.1 731.2 759.4 787.5 815.6 843.8 871.9 900.0 928.1 965.6 993.8 1021.9 1050.0 1078.1 1106.2 1134.4 1162.5 1200.0 412.5 : 28.1 56.2 84.4 112.5 140.6 168.8 206.2 234.4 262.5 290.6 318.7 346.9 375.0 403.1 440.6 468.8 496.9 525.0 553.1 581.2 609.4 637.5 675.0 703.1 731.2 759.4 787.5 815.6 843.8 871.9 900.0 937.5 965.6 993.8 1021.9 1050.0 1078.1 1106.3 1134.4 1171.9 1200.0 440.6 : 28.1 56.2 84.4 112.5 140.6 178.1 206.2 234.4 262.5 290.6 318.7 346.9 375.0 412.5 440.6 468.7 496.9 525.0 553.1 581.2 609.4 646.9 675.0 703.1 731.2 759.4 787.5 815.6 843.7 871.9 909.4 937.5 965.6 993.7 1021.9 1050.0 1078.1 1106.2 1143.7 1171.9 1200.0 468.8 : 28.1 56.2 84.4 112.5 150.0 178.1 206.2 234.4 262.5 290.6 318.7 346.9 384.4 412.5 440.6 468.7 496.9 525.0 553.1 581.2 618.8 646.9 675.0 703.1 731.2 759.4 787.5 815.6 843.8 881.3 909.4 937.5 965.6 993.8 1021.9 1050.0 1078.1 1115.6 1143.7 1171.9 1200.0 496.9 : 28.1 56.2 84.4 121.9 150.0 178.1 206.2 234.4 262.5 290.6 318.7 356.2 384.4 412.5 440.6 468.7 496.9 525.0 553.1 590.6 618.7 646.9 675.0 703.1 731.3 759.4 787.5 815.6 853.1 881.3 909.4 937.5 965.6 993.8 1021.9 1050.0 1087.5 1115.6 1143.8 1171.9 1200.0 525.0 : 28.1 56.3 93.8 121.9 150.0 178.1 206.2 234.4 262.5 290.6 328.1 356.3 384.4 412.5 440.6 468.8 496.9 525.0 562.5 590.6 618.8 646.9 675.0 703.1 731.3 759.4 787.5 825.0 853.1 881.3 909.4 937.5 965.6 993.8 1021.9 1059.4 1087.5 1115.6 1143.8 1171.9 1200.0 553.1 : 28.1 65.6 93.8 121.9 150.0 178.1 206.2 234.4 262.5 300.0 328.1 356.2 384.4 412.5 440.6 468.8 496.9 534.4 562.5 590.6 618.7 646.9 675.0 703.1 731.2 759.4 796.9 825.0 853.1 881.3 909.4 937.5 965.6 993.7 1031.3 1059.4 1087.5 1115.6 1143.7 1171.9 1200.0 581.3 : 37.5 65.6 93.8 121.9 150.0 178.1 206.2 234.4 271.9 300.0 328.1 356.3 384.4 412.5 440.6 468.7 506.2 534.4 562.5 590.6 618.8 646.9 675.0 703.1 731.3 768.8 796.9 825.0 853.1 881.3 909.4 937.5 965.6 1003.1 1031.2 1059.4 1087.5 1115.6 1143.7 1171.9 1200.0 618.8 : 28.1 56.2 84.4 112.5 140.6 168.7 196.9 234.4 262.5 290.6 318.7 346.9 375.0 403.1 431.3 468.8 496.9 525.0 553.1 581.3 609.4 637.5 665.6 693.8 731.3 759.4 787.5 815.6 843.7 871.9 900.0 928.1 965.6 993.8 1021.9 1050.0 1078.1 1106.3 1134.4 1162.5 1200.0 646.9 : 28.1 56.2 84.4 112.5 140.6 168.7 206.2 234.4 262.5 290.6 318.7 346.9 375.0 403.1 440.6 468.7 496.9 525.0 553.1 581.3 609.4 637.5 665.6 703.1 731.3 759.4 787.5 815.6 843.7 871.9 900.0 937.5 965.6 993.8 1021.9 1050.0 1078.1 1106.3 1134.4 1171.9 1200.0 675.0 : 28.1 56.2 84.4 112.5 140.6 178.1 206.3 234.4 262.5 290.6 318.7 346.9 375.0 412.5 440.6 468.7 496.9 525.0 553.1 581.2 609.4 637.5 675.0 703.1 731.2 759.4 787.5 815.6 843.7 871.9 909.4 937.5 965.6 993.8 1021.9 1050.0 1078.1 1106.3 1143.7 1171.9 1200.0 703.1 : 28.1 56.2 84.4 112.5 150.0 178.1 206.2 234.4 262.5 290.6 318.7 346.9 384.4 412.5 440.6 468.7 496.9 525.0 553.1 581.2 609.4 646.9 675.0 703.1 731.2 759.4 787.5 815.6 843.7 881.3 909.4 937.5 965.6 993.8 1021.9 1050.0 1078.1 1115.6 1143.7 1171.9 1200.0 731.2 : 28.1 56.2 84.4 121.9 150.0 178.1 206.3 234.4 262.5 290.6 318.8 356.3 384.4 412.5 440.6 468.8 496.9 525.0 553.1 581.3 618.8 646.9 675.0 703.1 731.3 759.4 787.5 815.6 853.1 881.3 909.4 937.5 965.6 993.8 1021.9 1050.0 1087.5 1115.6 1143.8 1171.9 1200.0 759.4 : 28.1 56.2 93.8 121.9 150.0 178.1 206.2 234.4 262.5 290.6 328.1 356.3 384.4 412.5 440.6 468.8 496.9 525.0 553.1 590.6 618.8 646.9 675.0 703.1 731.2 759.4 787.5 825.0 853.1 881.3 909.4 937.5 965.6 993.8 1021.9 1059.4 1087.5 1115.6 1143.8 1171.9 1200.0 787.5 : 28.1 65.6 93.8 121.9 150.0 178.1 206.2 234.4 262.5 300.0 328.1 356.3 384.4 412.5 440.6 468.8 496.9 525.0 562.5 590.6 618.8 646.9 675.0 703.1 731.2 759.4 796.9 825.0 853.1 881.3 909.4 937.5 965.6 993.8 1031.3 1059.4 1087.5 1115.6 1143.7 1171.9 1200.0 815.6 : 37.5 65.6 93.7 121.9 150.0 178.1 206.2 234.4 271.9 300.0 328.1 356.2 384.4 412.5 440.6 468.7 496.9 534.4 562.5 590.6 618.7 646.9 675.0 703.1 731.2 768.8 796.9 825.0 853.1 881.3 909.4 937.5 965.6 1003.1 1031.3 1059.4 1087.5 1115.6 1143.7 1171.9 1200.0 853.1 : 28.1 56.2 84.4 112.5 140.6 168.8 196.9 234.4 262.5 290.6 318.7 346.9 375.0 403.1 431.3 459.4 496.9 525.0 553.1 581.3 609.4 637.5 665.6 693.8 731.3 759.4 787.5 815.6 843.8 871.9 900.0 928.1 965.6 993.8 1021.9 1050.0 1078.1 1106.3 1134.4 1162.5 1200.0 881.3 : 28.1 56.2 84.4 112.5 140.6 168.7 206.2 234.4 262.5 290.6 318.7 346.9 375.0 403.1 431.3 468.7 496.9 525.0 553.1 581.2 609.4 637.5 665.6 703.1 731.2 759.4 787.5 815.6 843.7 871.9 900.0 937.5 965.6 993.8 1021.9 1050.0 1078.1 1106.2 1134.4 1171.9 1200.0 909.4 : 28.1 56.2 84.4 112.5 140.6 178.1 206.2 234.4 262.5 290.6 318.8 346.9 375.0 403.1 440.6 468.8 496.9 525.0 553.1 581.3 609.4 637.5 675.0 703.1 731.3 759.4 787.5 815.6 843.8 871.9 909.4 937.5 965.6 993.8 1021.9 1050.0 1078.1 1106.3 1143.8 1171.9 1200.0 937.5 : 28.1 56.2 84.4 112.5 150.0 178.1 206.2 234.4 262.5 290.6 318.7 346.9 375.0 412.5 440.6 468.7 496.9 525.0 553.1 581.2 609.4 646.9 675.0 703.1 731.3 759.4 787.5 815.6 843.8 881.3 909.4 937.5 965.6 993.8 1021.9 1050.0 1078.1 1115.6 1143.8 1171.9 1200.0 965.6 : 28.1 56.2 84.4 121.9 150.0 178.1 206.2 234.4 262.5 290.6 318.7 346.9 384.4 412.5 440.6 468.8 496.9 525.0 553.1 581.2 618.8 646.9 675.0 703.1 731.3 759.4 787.5 815.6 853.1 881.3 909.4 937.5 965.6 993.8 1021.9 1050.0 1087.5 1115.6 1143.7 1171.9 1200.0 993.8 : 28.1 56.2 93.8 121.9 150.0 178.1 206.2 234.4 262.5 290.6 318.8 356.3 384.4 412.5 440.6 468.8 496.9 525.0 553.1 590.6 618.8 646.9 675.0 703.1 731.2 759.4 787.5 825.0 853.1 881.3 909.4 937.5 965.6 993.8 1021.9 1059.4 1087.5 1115.6 1143.8 1171.9 1200.0 1021.9: 28.1 65.6 93.8 121.9 150.0 178.1 206.2 234.4 262.5 290.6 328.1 356.3 384.4 412.5 440.6 468.7 496.9 525.0 562.5 590.6 618.8 646.9 675.0 703.1 731.3 759.4 796.9 825.0 853.1 881.3 909.4 937.5 965.6 993.8 1031.2 1059.4 1087.5 1115.6 1143.7 1171.9 1200.0 1050.0: 37.5 65.6 93.8 121.9 150.0 178.1 206.2 234.4 262.5 300.0 328.1 356.3 384.4 412.5 440.6 468.7 496.9 534.4 562.5 590.6 618.8 646.9 675.0 703.1 731.3 768.8 796.9 825.0 853.1 881.3 909.4 937.5 965.6 1003.1 1031.3 1059.4 1087.5 1115.6 1143.7 1171.9 1200.0 1087.5: 28.1 56.2 84.4 112.5 140.6 168.7 196.9 225.0 262.5 290.6 318.7 346.9 375.0 403.1 431.3 459.4 496.9 525.0 553.1 581.3 609.4 637.5 665.6 693.8 731.2 759.4 787.5 815.6 843.7 871.9 900.0 928.1 965.6 993.8 1021.9 1050.0 1078.1 1106.3 1134.4 1162.5 1200.0 1115.6: 28.1 56.2 84.4 112.5 140.6 168.7 196.9 234.4 262.5 290.6 318.7 346.9 375.0 403.1 431.3 468.8 496.9 525.0 553.1 581.3 609.4 637.5 665.6 703.1 731.3 759.4 787.5 815.6 843.8 871.9 900.0 937.5 965.6 993.8 1021.9 1050.0 1078.1 1106.3 1134.4 1171.9 1200.0 1143.7: 28.1 56.2 84.4 112.5 140.6 168.8 206.3 234.4 262.5 290.6 318.7 346.9 375.0 403.1 440.6 468.8 496.9 525.0 553.1 581.3 609.4 637.5 675.0 703.1 731.3 759.4 787.5 815.6 843.8 871.9 909.4 937.5 965.6 993.8 1021.9 1050.0 1078.1 1106.3 1143.8 1171.9 1200.0 1171.9: 28.1 56.3 84.4 112.5 140.6 178.1 206.3 234.4 262.5 290.6 318.8 346.9 375.0 412.5 440.6 468.8 496.9 525.0 553.1 581.3 609.4 646.9 675.0 703.1 731.3 759.4 787.5 815.6 843.8 881.3 909.4 937.5 965.6 993.8 1021.9 1050.0 1078.1 1115.6 1143.8 1171.9 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 28.1250 .. 37.5000 cents 9.37500 cents 28.12500 cents 2: 56.2500 .. 65.6250 cents 9.37500 cents 18.75000 cents 3: 84.3750 .. 93.7500 cents 9.37500 cents 18.75000 cents 4: 112.5000 .. 121.8750 cents 9.37500 cents 18.75000 cents 5: 140.6250 .. 150.0000 cents 9.37500 cents 18.75000 cents 6: 168.7500 .. 178.1250 cents 9.37500 cents 18.75000 cents 7: 196.8750 .. 206.2500 cents 9.37500 cents 18.75000 cents 8: 225.0000 .. 234.3750 cents 9.37500 cents 18.75000 cents 9: 262.5000 .. 271.8750 cents 9.37500 cents 28.12500 cents 10: 290.6250 .. 300.0000 cents 9.37500 cents 18.75000 cents 11: 318.7500 .. 328.1250 cents 9.37500 cents 18.75000 cents 12: 346.8750 .. 356.2500 cents 9.37500 cents 18.75000 cents 13: 375.0000 .. 384.3750 cents 9.37500 cents 18.75000 cents 14: 403.1250 .. 412.5000 cents 9.37500 cents 18.75000 cents 15: 431.2500 .. 440.6250 cents 9.37500 cents 18.75000 cents 16: 459.3750 .. 468.7500 cents 9.37500 cents 18.75000 cents 17: 496.8750 .. 506.2500 cents 9.37500 cents 28.12500 cents 18: 525.0000 .. 534.3750 cents 9.37500 cents 18.75000 cents 19: 553.1250 .. 562.5000 cents 9.37500 cents 18.75000 cents 20: 581.2500 .. 590.6250 cents 9.37500 cents 18.75000 cents 21: 609.3750 .. 618.7500 cents 9.37500 cents 18.75000 cents 22: 637.5000 .. 646.8750 cents 9.37500 cents 18.75000 cents 23: 665.6250 .. 675.0000 cents 9.37500 cents 18.75000 cents 24: 693.7500 .. 703.1250 cents 9.37500 cents 18.75000 cents 25: 731.2500 .. 740.6250 cents 9.37500 cents 28.12500 cents 26: 759.3750 .. 768.7500 cents 9.37500 cents 18.75000 cents 27: 787.5000 .. 796.8750 cents 9.37500 cents 18.75000 cents 28: 815.6250 .. 825.0000 cents 9.37500 cents 18.75000 cents 29: 843.7500 .. 853.1250 cents 9.37500 cents 18.75000 cents 30: 871.8750 .. 881.2500 cents 9.37500 cents 18.75000 cents 31: 900.0000 .. 909.3750 cents 9.37500 cents 18.75000 cents 32: 928.1250 .. 937.5000 cents 9.37500 cents 18.75000 cents 33: 965.6250 .. 975.0000 cents 9.37500 cents 28.12500 cents 34: 993.7500 .. 1003.1250 cents 9.37500 cents 18.75000 cents 35: 1021.8750 .. 1031.2500 cents 9.37500 cents 18.75000 cents 36: 1050.0000 .. 1059.3750 cents 9.37500 cents 18.75000 cents 37: 1078.1250 .. 1087.5000 cents 9.37500 cents 18.75000 cents 38: 1106.2500 .. 1115.6250 cents 9.37500 cents 18.75000 cents 39: 1134.3750 .. 1143.7500 cents 9.37500 cents 18.75000 cents 40: 1162.5000 .. 1171.8750 cents 9.37500 cents 18.75000 cents
SHOW DATA
Number of notes : 41 -- Interval properties -- Smallest interval : 28.12500 cents, class 1 Average step (divided formal octave): 29.2683 cents Largest one step interval : 37.50000 cents Average / Smallest step : 1.040650 Largest / Average step : 1.281250 Largest / Smallest step : 1.333333 Median interval of one step : 28.12500 cents, amount: 36 Most common interval of one step : 28.12500 cents, amount: 36 Least squares average step : 29.28010 cents, oct.: 1200.48408 cents Scale is strictly proper Scale has Myhill's property chromas: 9.37500 cents and 18.75000 cents, ratio: 2.000000 generators: 8 of 234.37500 cents and 33 of 965.62500 cents Scale is maximally even in 128-tone equal temperament ET pair of linear temperament : 41&128 Scale is maximally even for L / S <= 2 Scale is distributional even Scale is a mode of a 128-tone equal temperament with octave 1200.000 cents degrees: 3 6 9 12 16 19 22 25 28 31 34 37 41 44 47 50 53 56 59 62 66 69 72 75 78 81 84 87 91 94 97 100 103 106 109 112 116 119 122 125 128 generators: 25 and 103 Number of contiguous 1-step segments: 0 Scale is fully connected major-minor triadic in 128-tone equal temperament Step pattern alph. order: AAAABAAAAAAABAAAAAAABAAAAAAABAAAAAAABAAAA Step pattern size order : SSSSLSSSSSSSLSSSSSSSLSSSSSSSLSSSSSSSLSSSS Interval vector is [ 0 0 36 5 0 31 10 0 26 15 0 21 20 0 16 25 0 11 30 0 6 35 0 1 40 0 0 37 4 0 32 9 0 27 14 0 22 19 0 17 24 0 12 29 0 7 34 0 2 39 0 0 38 3 0 33 8 0 28 13 0 23 18 0 ] Scale is a Constant Structure, by a margin of 18.75000 cents Scale diversity : 1.144111 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.687500 Rothenberg efficiency : 0.682927 redundancy: 0.317073 Efficiency x scale size : 28.000000 Number of different interval sizes : 80 = 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 : 9.37500 cents Most common intervals : 234.37500 cents & inv., amount: 40 Scale is a chain of 20 triads 0.0 234.375 468.750 cents Most common triad is 0.0 234.375 965.625 cents, amount: 39 Number of recognisable fifths : 41, average 702.4390 cents Scale contains two identical disjunct "tetrachords" of 18 notes Best fifths form a closed circle Best major thirds form a closed circle Best minor thirds form a closed circle Formal octave complements present : 41 = 100.0000% Inversional symmetry on degrees : 0 Inversional symmetry on intervals : 20-21 -- Rational properties --
FIT/MODE
41: 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: 2.7055 c. M: 4.5732 c. 87: 2 2 2 2 3 2 2 2 2 2 2 2 3 2 2 2 2 2 2 2 3 2 2 2 2 2 2 2 3 2 2 2 2 2 2 2 3 2 2 2 2 SP M ME I SD: 1.2750 c. M: 2.1552 c. 128: 3 3 3 3 4 3 3 3 3 3 3 3 4 3 3 3 3 3 3 3 4 3 3 3 3 3 3 3 4 3 3 3 3 3 3 3 4 3 3 3 3 SP M 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: 0.5850 cents 3 .. 6 match: 3 H SD: 1.1072 cents 4 .. 8 match: 4 H SD: 0.9802 cents 5 .. 10 match: 5 H SD: 1.1545 cents 6 .. 12 match: 6 H SD: 0.9415 cents 7 .. 14 match: 7 H SD: 2.6198 cents 8 .. 16 match: 8 H SD: 1.6928 cents 9 .. 18 match: 9 H SD: 2.0920 cents 10 .. 20 match: 10 H SD: 2.2293 cents 11 .. 22 match: 11 H SD: 1.9693 cents 12 .. 24 match: 12 H SD: 2.0478 cents 13 .. 26 match: 13 H SD: 2.9951 cents 14 .. 28 match: 14 H SD: 1.8912 cents 15 .. 30 match: 15 H SD: 1.6557 cents 16 .. 32 match: 16 H SD: 1.5706 cents 17 .. 34 match: 17 H SD: 2.5663 cents 18 .. 36 match: 18 H SD: 1.6927 cents 19 .. 38 match: 19 H SD: 1.8325 cents 20 .. 40 match: 20 H SD: 1.7199 cents 21 .. 42 match: 21 H SD: 1.8573 cents 22 .. 44 match: 22 H SD: 1.7404 cents 23 .. 46 match: 23 H SD: 1.6910 cents 24 .. 48 match: 24 H SD: 1.6206 cents 25 .. 50 match: 25 H SD: 1.7987 cents 26 .. 52 match: 26 H SD: 1.9117 cents 27 .. 54 match: 27 H SD: 1.6229 cents 28 .. 56 match: 28 H SD: 1.5150 cents 29 .. 58 match: 29 H SD: 1.6482 cents 30 .. 60 match: 30 H SD: 1.3855 cents 31 .. 62 match: 31 H SD: 1.3592 cents 32 .. 64 match: 32 H SD: 1.2472 cents 33 .. 66 match: 33 H SD: 1.3556 cents 34 .. 68 match: 32 S SD: 1.6965 cents 35 .. 70 match: 34 S SD: 1.2735 cents 36 .. 72 match: 35 SD: 1.2607 cents 37 .. 74 match: 35 SD: 1.5177 cents 38 .. 76 match: 36 SD: 1.3875 cents 39 .. 78 match: 36 S SD: 1.5162 cents 40 .. 80 match: 37 SD: 1.1661 cents 41 .. 82 match: 37 SD: 1.4344 cents 42 .. 84 match: 38 SD: 1.0610 cents 43 .. 86 match: 38 SD: 1.4133 cents 44 .. 88 match: 39 SD: 1.1653 cents 45 .. 90 match: 39 SD: 1.0432 cents 46 .. 92 match: 39 SD: 1.2322 cents 47 .. 94 match: 39 SD: 1.2492 cents 48 .. 96 match: 40 SD: 0.9884 cents 49 .. 98 match: 40 SD: 1.1193 cents 50 .. 100 match: 39 SD: 1.2078 cents 51 .. 102 match: 39 SD: 1.1917 cents 52 .. 104 match: 40 SD: 1.2687 cents 53 .. 106 match: 41 SD: 1.0647 cents 54 .. 108 match: 41 SD: 0.9713 cents 55 .. 110 match: 41 SD: 0.8174 cents 63 .. 126 match: 41 SD: 0.7610 cents 75 .. 150 match: 41 SD: 0.7283 cents 77 .. 154 match: 41 SD: 0.7165 cents 78 .. 156 match: 41 SD: 0.6887 cents 80 .. 160 match: 41 SD: 0.6531 cents 86 .. 172 match: 41 SD: 0.6447 cents 88 .. 176 match: 41 SD: 0.6296 cents 90 .. 180 match: 41 SD: 0.5793 cents 93 .. 186 match: 41 SD: 0.5432 cents 103 .. 206 match: 41 SD: 0.4636 cents 116 .. 232 match: 41 SD: 0.4611 cents 118 .. 236 match: 41 SD: 0.4060 cents 120 .. 240 match: 41 SD: 0.3973 cents 135 .. 270 match: 41 SD: 0.3861 cents 144 .. 288 match: 41 SD: 0.3771 cents 145 .. 290 match: 41 SD: 0.3658 cents 153 .. 306 match: 41 SD: 0.3545 cents 158 .. 316 match: 41 SD: 0.3119 cents 165 .. 330 match: 41 SD: 0.3091 cents 175 .. 350 match: 41 SD: 0.2898 cents 181 .. 362 match: 41 SD: 0.2616 cents 207 .. 414 match: 41 SD: 0.2603 cents 208 .. 416 match: 41 SD: 0.2575 cents 213 .. 426 match: 41 SD: 0.2481 cents 220 .. 440 match: 41 SD: 0.2232 cents 221 .. 442 match: 41 SD: 0.2139 cents 241 .. 482 match: 41 SD: 0.2026 cents 253 .. 506 match: 41 SD: 0.1955 cents 268 .. 536 match: 41 SD: 0.1925 cents 276 .. 552 match: 41 SD: 0.1771 cents 297 .. 594 match: 41 SD: 0.1683 cents 298 .. 596 match: 41 SD: 0.1622 cents 301 .. 602 match: 41 SD: 0.1591 cents 311 .. 622 match: 41 SD: 0.1581 cents 316 .. 632 match: 41 SD: 0.1487 cents 342 .. 684 match: 41 SD: 0.1389 cents 356 .. 712 match: 41 SD: 0.1300 cents 361 .. 722 match: 41 SD: 0.1255 cents 415 .. 830 match: 41 SD: 0.1201 cents 419 .. 838 match: 41 SD: 0.1198 cents 421 .. 842 match: 41 SD: 0.1122 cents 434 .. 868 match: 41 SD: 0.1081 cents 463 .. 926 match: 41 SD: 0.1080 cents 476 .. 952 match: 41 SD: 0.1008 cents 505 .. 1010 match: 41 SD: 0.0956 cents 545 .. 1090 match: 41 SD: 0.0953 cents 547 .. 1094 match: 41 SD: 0.0935 cents 554 .. 1108 match: 41 SD: 0.0862 cents 579 .. 1158 match: 41 SD: 0.0850 cents 598 .. 1196 match: 41 SD: 0.0782 cents