Scala analysis: edo-45
45 equal divisions of the octave
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 26.667 cents 26.666667 2: 53.333 cents 53.333333 3: 80.000 cents 80.000000 4: 106.667 cents 106.666667 5: 133.333 cents 133.333333 6: 160.000 cents 160.000000 7: 186.667 cents 186.666667 8: 213.333 cents 213.333333 9: 240.000 cents 240.000000 10: 266.667 cents 266.666667 11: 293.333 cents 293.333333 12: 320.000 cents 320.000000 13: 346.667 cents 346.666667 14: 373.333 cents 373.333333 15: 400.000 cents 400.000000 16: 426.667 cents 426.666667 17: 453.333 cents 453.333333 18: 480.000 cents 480.000000 19: 506.667 cents 506.666667 20: 533.333 cents 533.333333 21: 560.000 cents 560.000000 22: 586.667 cents 586.666667 23: 613.333 cents 613.333333 24: 640.000 cents 640.000000 25: 666.667 cents 666.666667 26: 693.333 cents 693.333333 27: 720.000 cents 720.000000 28: 746.667 cents 746.666667 29: 773.333 cents 773.333333 30: 800.000 cents 800.000000 31: 826.667 cents 826.666667 32: 853.333 cents 853.333333 33: 880.000 cents 880.000000 34: 906.667 cents 906.666667 35: 933.333 cents 933.333333 36: 960.000 cents 960.000000 37: 986.667 cents 986.666667 38: 1013.333 cents 1013.333333 39: 1040.000 cents 1040.000000 40: 1066.667 cents 1066.666667 41: 1093.333 cents 1093.333333 42: 1120.000 cents 1120.000000 43: 1146.667 cents 1146.666667 44: 1173.333 cents 1173.333333 45: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 26.6667 cents 26.6667 1: 26.6667 cents 26.6667 2: 26.6667 cents 26.6667 3: 26.6667 cents 26.6667 4: 26.6667 cents 26.6667 5: 26.6667 cents 26.6667 6: 26.6667 cents 26.6667 7: 26.6667 cents 26.6667 8: 26.6667 cents 26.6667 9: 26.6667 cents 26.6667 10: 26.6667 cents 26.6667 11: 26.6667 cents 26.6667 12: 26.6667 cents 26.6667 13: 26.6667 cents 26.6667 14: 26.6667 cents 26.6667 15: 26.6667 cents 26.6667 16: 26.6667 cents 26.6667 17: 26.6667 cents 26.6667 18: 26.6667 cents 26.6667 19: 26.6667 cents 26.6667 20: 26.6667 cents 26.6667 21: 26.6667 cents 26.6667 22: 26.6667 cents 26.6667 23: 26.6667 cents 26.6667 24: 26.6667 cents 26.6667 25: 26.6667 cents 26.6667 26: 26.6667 cents 26.6667 27: 26.6667 cents 26.6667 28: 26.6667 cents 26.6667 29: 26.6667 cents 26.6667 30: 26.6667 cents 26.6667 31: 26.6667 cents 26.6667 32: 26.6667 cents 26.6667 33: 26.6667 cents 26.6667 34: 26.6667 cents 26.6667 35: 26.6667 cents 26.6667 36: 26.6667 cents 26.6667 37: 26.6667 cents 26.6667 38: 26.6667 cents 26.6667 39: 26.6667 cents 26.6667 40: 26.6667 cents 26.6667 41: 26.6667 cents 26.6667 42: 26.6667 cents 26.6667 43: 26.6667 cents 26.6667 44: 26.6667 cents 26.6667 45: 26.6667 cents 26.6667
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 45 26.66667 cents 2: 45 53.33333 cents 3: 45 80.00000 cents 4: 45 106.66667 cents 5: 45 133.33333 cents 6: 45 160.00000 cents 7: 45 186.66667 cents 8: 45 213.33333 cents 9: 45 240.00000 cents 10: 45 266.66667 cents 11: 45 293.33333 cents 12: 45 320.00000 cents 13: 45 346.66667 cents 14: 45 373.33333 cents 15: 45 400.00000 cents 16: 45 426.66667 cents 17: 45 453.33333 cents 18: 45 480.00000 cents 19: 45 506.66667 cents 20: 45 533.33333 cents 21: 45 560.00000 cents 22: 45 586.66667 cents 23: 45 613.33333 cents 24: 45 640.00000 cents 25: 45 666.66667 cents 26: 45 693.33333 cents 27: 45 720.00000 cents 28: 45 746.66667 cents 29: 45 773.33333 cents 30: 45 800.00000 cents 31: 45 826.66667 cents 32: 45 853.33333 cents 33: 45 880.00000 cents 34: 45 906.66667 cents 35: 45 933.33333 cents 36: 45 960.00000 cents 37: 45 986.66667 cents 38: 45 1013.33333 cents 39: 45 1040.00000 cents 40: 45 1066.66667 cents 41: 45 1093.33333 cents 42: 45 1120.00000 cents 43: 45 1146.66667 cents 44: 45 1173.33333 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 0.0 : 26.7 53.3 80.0 106.7 133.3 160.0 186.7 213.3 240.0 266.7 293.3 320.0 346.7 373.3 400.0 426.7 453.3 480.0 506.7 533.3 560.0 586.7 613.3 640.0 666.7 693.3 720.0 746.7 773.3 800.0 826.7 853.3 880.0 906.7 933.3 960.0 986.7 1013.3 1040.0 1066.7 1093.3 1120.0 1146.7 1173.3 1200.0 26.7 : 26.7 53.3 80.0 106.7 133.3 160.0 186.7 213.3 240.0 266.7 293.3 320.0 346.7 373.3 400.0 426.7 453.3 480.0 506.7 533.3 560.0 586.7 613.3 640.0 666.7 693.3 720.0 746.7 773.3 800.0 826.7 853.3 880.0 906.7 933.3 960.0 986.7 1013.3 1040.0 1066.7 1093.3 1120.0 1146.7 1173.3 1200.0 53.3 : 26.7 53.3 80.0 106.7 133.3 160.0 186.7 213.3 240.0 266.7 293.3 320.0 346.7 373.3 400.0 426.7 453.3 480.0 506.7 533.3 560.0 586.7 613.3 640.0 666.7 693.3 720.0 746.7 773.3 800.0 826.7 853.3 880.0 906.7 933.3 960.0 986.7 1013.3 1040.0 1066.7 1093.3 1120.0 1146.7 1173.3 1200.0 80.0 : 26.7 53.3 80.0 106.7 133.3 160.0 186.7 213.3 240.0 266.7 293.3 320.0 346.7 373.3 400.0 426.7 453.3 480.0 506.7 533.3 560.0 586.7 613.3 640.0 666.7 693.3 720.0 746.7 773.3 800.0 826.7 853.3 880.0 906.7 933.3 960.0 986.7 1013.3 1040.0 1066.7 1093.3 1120.0 1146.7 1173.3 1200.0 106.7 : 26.7 53.3 80.0 106.7 133.3 160.0 186.7 213.3 240.0 266.7 293.3 320.0 346.7 373.3 400.0 426.7 453.3 480.0 506.7 533.3 560.0 586.7 613.3 640.0 666.7 693.3 720.0 746.7 773.3 800.0 826.7 853.3 880.0 906.7 933.3 960.0 986.7 1013.3 1040.0 1066.7 1093.3 1120.0 1146.7 1173.3 1200.0 133.3 : 26.7 53.3 80.0 106.7 133.3 160.0 186.7 213.3 240.0 266.7 293.3 320.0 346.7 373.3 400.0 426.7 453.3 480.0 506.7 533.3 560.0 586.7 613.3 640.0 666.7 693.3 720.0 746.7 773.3 800.0 826.7 853.3 880.0 906.7 933.3 960.0 986.7 1013.3 1040.0 1066.7 1093.3 1120.0 1146.7 1173.3 1200.0 160.0 : 26.7 53.3 80.0 106.7 133.3 160.0 186.7 213.3 240.0 266.7 293.3 320.0 346.7 373.3 400.0 426.7 453.3 480.0 506.7 533.3 560.0 586.7 613.3 640.0 666.7 693.3 720.0 746.7 773.3 800.0 826.7 853.3 880.0 906.7 933.3 960.0 986.7 1013.3 1040.0 1066.7 1093.3 1120.0 1146.7 1173.3 1200.0 186.7 : 26.7 53.3 80.0 106.7 133.3 160.0 186.7 213.3 240.0 266.7 293.3 320.0 346.7 373.3 400.0 426.7 453.3 480.0 506.7 533.3 560.0 586.7 613.3 640.0 666.7 693.3 720.0 746.7 773.3 800.0 826.7 853.3 880.0 906.7 933.3 960.0 986.7 1013.3 1040.0 1066.7 1093.3 1120.0 1146.7 1173.3 1200.0 213.3 : 26.7 53.3 80.0 106.7 133.3 160.0 186.7 213.3 240.0 266.7 293.3 320.0 346.7 373.3 400.0 426.7 453.3 480.0 506.7 533.3 560.0 586.7 613.3 640.0 666.7 693.3 720.0 746.7 773.3 800.0 826.7 853.3 880.0 906.7 933.3 960.0 986.7 1013.3 1040.0 1066.7 1093.3 1120.0 1146.7 1173.3 1200.0 240.0 : 26.7 53.3 80.0 106.7 133.3 160.0 186.7 213.3 240.0 266.7 293.3 320.0 346.7 373.3 400.0 426.7 453.3 480.0 506.7 533.3 560.0 586.7 613.3 640.0 666.7 693.3 720.0 746.7 773.3 800.0 826.7 853.3 880.0 906.7 933.3 960.0 986.7 1013.3 1040.0 1066.7 1093.3 1120.0 1146.7 1173.3 1200.0 266.7 : 26.7 53.3 80.0 106.7 133.3 160.0 186.7 213.3 240.0 266.7 293.3 320.0 346.7 373.3 400.0 426.7 453.3 480.0 506.7 533.3 560.0 586.7 613.3 640.0 666.7 693.3 720.0 746.7 773.3 800.0 826.7 853.3 880.0 906.7 933.3 960.0 986.7 1013.3 1040.0 1066.7 1093.3 1120.0 1146.7 1173.3 1200.0 293.3 : 26.7 53.3 80.0 106.7 133.3 160.0 186.7 213.3 240.0 266.7 293.3 320.0 346.7 373.3 400.0 426.7 453.3 480.0 506.7 533.3 560.0 586.7 613.3 640.0 666.7 693.3 720.0 746.7 773.3 800.0 826.7 853.3 880.0 906.7 933.3 960.0 986.7 1013.3 1040.0 1066.7 1093.3 1120.0 1146.7 1173.3 1200.0 320.0 : 26.7 53.3 80.0 106.7 133.3 160.0 186.7 213.3 240.0 266.7 293.3 320.0 346.7 373.3 400.0 426.7 453.3 480.0 506.7 533.3 560.0 586.7 613.3 640.0 666.7 693.3 720.0 746.7 773.3 800.0 826.7 853.3 880.0 906.7 933.3 960.0 986.7 1013.3 1040.0 1066.7 1093.3 1120.0 1146.7 1173.3 1200.0 346.7 : 26.7 53.3 80.0 106.7 133.3 160.0 186.7 213.3 240.0 266.7 293.3 320.0 346.7 373.3 400.0 426.7 453.3 480.0 506.7 533.3 560.0 586.7 613.3 640.0 666.7 693.3 720.0 746.7 773.3 800.0 826.7 853.3 880.0 906.7 933.3 960.0 986.7 1013.3 1040.0 1066.7 1093.3 1120.0 1146.7 1173.3 1200.0 373.3 : 26.7 53.3 80.0 106.7 133.3 160.0 186.7 213.3 240.0 266.7 293.3 320.0 346.7 373.3 400.0 426.7 453.3 480.0 506.7 533.3 560.0 586.7 613.3 640.0 666.7 693.3 720.0 746.7 773.3 800.0 826.7 853.3 880.0 906.7 933.3 960.0 986.7 1013.3 1040.0 1066.7 1093.3 1120.0 1146.7 1173.3 1200.0 400.0 : 26.7 53.3 80.0 106.7 133.3 160.0 186.7 213.3 240.0 266.7 293.3 320.0 346.7 373.3 400.0 426.7 453.3 480.0 506.7 533.3 560.0 586.7 613.3 640.0 666.7 693.3 720.0 746.7 773.3 800.0 826.7 853.3 880.0 906.7 933.3 960.0 986.7 1013.3 1040.0 1066.7 1093.3 1120.0 1146.7 1173.3 1200.0 426.7 : 26.7 53.3 80.0 106.7 133.3 160.0 186.7 213.3 240.0 266.7 293.3 320.0 346.7 373.3 400.0 426.7 453.3 480.0 506.7 533.3 560.0 586.7 613.3 640.0 666.7 693.3 720.0 746.7 773.3 800.0 826.7 853.3 880.0 906.7 933.3 960.0 986.7 1013.3 1040.0 1066.7 1093.3 1120.0 1146.7 1173.3 1200.0 453.3 : 26.7 53.3 80.0 106.7 133.3 160.0 186.7 213.3 240.0 266.7 293.3 320.0 346.7 373.3 400.0 426.7 453.3 480.0 506.7 533.3 560.0 586.7 613.3 640.0 666.7 693.3 720.0 746.7 773.3 800.0 826.7 853.3 880.0 906.7 933.3 960.0 986.7 1013.3 1040.0 1066.7 1093.3 1120.0 1146.7 1173.3 1200.0 480.0 : 26.7 53.3 80.0 106.7 133.3 160.0 186.7 213.3 240.0 266.7 293.3 320.0 346.7 373.3 400.0 426.7 453.3 480.0 506.7 533.3 560.0 586.7 613.3 640.0 666.7 693.3 720.0 746.7 773.3 800.0 826.7 853.3 880.0 906.7 933.3 960.0 986.7 1013.3 1040.0 1066.7 1093.3 1120.0 1146.7 1173.3 1200.0 506.7 : 26.7 53.3 80.0 106.7 133.3 160.0 186.7 213.3 240.0 266.7 293.3 320.0 346.7 373.3 400.0 426.7 453.3 480.0 506.7 533.3 560.0 586.7 613.3 640.0 666.7 693.3 720.0 746.7 773.3 800.0 826.7 853.3 880.0 906.7 933.3 960.0 986.7 1013.3 1040.0 1066.7 1093.3 1120.0 1146.7 1173.3 1200.0 533.3 : 26.7 53.3 80.0 106.7 133.3 160.0 186.7 213.3 240.0 266.7 293.3 320.0 346.7 373.3 400.0 426.7 453.3 480.0 506.7 533.3 560.0 586.7 613.3 640.0 666.7 693.3 720.0 746.7 773.3 800.0 826.7 853.3 880.0 906.7 933.3 960.0 986.7 1013.3 1040.0 1066.7 1093.3 1120.0 1146.7 1173.3 1200.0 560.0 : 26.7 53.3 80.0 106.7 133.3 160.0 186.7 213.3 240.0 266.7 293.3 320.0 346.7 373.3 400.0 426.7 453.3 480.0 506.7 533.3 560.0 586.7 613.3 640.0 666.7 693.3 720.0 746.7 773.3 800.0 826.7 853.3 880.0 906.7 933.3 960.0 986.7 1013.3 1040.0 1066.7 1093.3 1120.0 1146.7 1173.3 1200.0 586.7 : 26.7 53.3 80.0 106.7 133.3 160.0 186.7 213.3 240.0 266.7 293.3 320.0 346.7 373.3 400.0 426.7 453.3 480.0 506.7 533.3 560.0 586.7 613.3 640.0 666.7 693.3 720.0 746.7 773.3 800.0 826.7 853.3 880.0 906.7 933.3 960.0 986.7 1013.3 1040.0 1066.7 1093.3 1120.0 1146.7 1173.3 1200.0 613.3 : 26.7 53.3 80.0 106.7 133.3 160.0 186.7 213.3 240.0 266.7 293.3 320.0 346.7 373.3 400.0 426.7 453.3 480.0 506.7 533.3 560.0 586.7 613.3 640.0 666.7 693.3 720.0 746.7 773.3 800.0 826.7 853.3 880.0 906.7 933.3 960.0 986.7 1013.3 1040.0 1066.7 1093.3 1120.0 1146.7 1173.3 1200.0 640.0 : 26.7 53.3 80.0 106.7 133.3 160.0 186.7 213.3 240.0 266.7 293.3 320.0 346.7 373.3 400.0 426.7 453.3 480.0 506.7 533.3 560.0 586.7 613.3 640.0 666.7 693.3 720.0 746.7 773.3 800.0 826.7 853.3 880.0 906.7 933.3 960.0 986.7 1013.3 1040.0 1066.7 1093.3 1120.0 1146.7 1173.3 1200.0 666.7 : 26.7 53.3 80.0 106.7 133.3 160.0 186.7 213.3 240.0 266.7 293.3 320.0 346.7 373.3 400.0 426.7 453.3 480.0 506.7 533.3 560.0 586.7 613.3 640.0 666.7 693.3 720.0 746.7 773.3 800.0 826.7 853.3 880.0 906.7 933.3 960.0 986.7 1013.3 1040.0 1066.7 1093.3 1120.0 1146.7 1173.3 1200.0 693.3 : 26.7 53.3 80.0 106.7 133.3 160.0 186.7 213.3 240.0 266.7 293.3 320.0 346.7 373.3 400.0 426.7 453.3 480.0 506.7 533.3 560.0 586.7 613.3 640.0 666.7 693.3 720.0 746.7 773.3 800.0 826.7 853.3 880.0 906.7 933.3 960.0 986.7 1013.3 1040.0 1066.7 1093.3 1120.0 1146.7 1173.3 1200.0 720.0 : 26.7 53.3 80.0 106.7 133.3 160.0 186.7 213.3 240.0 266.7 293.3 320.0 346.7 373.3 400.0 426.7 453.3 480.0 506.7 533.3 560.0 586.7 613.3 640.0 666.7 693.3 720.0 746.7 773.3 800.0 826.7 853.3 880.0 906.7 933.3 960.0 986.7 1013.3 1040.0 1066.7 1093.3 1120.0 1146.7 1173.3 1200.0 746.7 : 26.7 53.3 80.0 106.7 133.3 160.0 186.7 213.3 240.0 266.7 293.3 320.0 346.7 373.3 400.0 426.7 453.3 480.0 506.7 533.3 560.0 586.7 613.3 640.0 666.7 693.3 720.0 746.7 773.3 800.0 826.7 853.3 880.0 906.7 933.3 960.0 986.7 1013.3 1040.0 1066.7 1093.3 1120.0 1146.7 1173.3 1200.0 773.3 : 26.7 53.3 80.0 106.7 133.3 160.0 186.7 213.3 240.0 266.7 293.3 320.0 346.7 373.3 400.0 426.7 453.3 480.0 506.7 533.3 560.0 586.7 613.3 640.0 666.7 693.3 720.0 746.7 773.3 800.0 826.7 853.3 880.0 906.7 933.3 960.0 986.7 1013.3 1040.0 1066.7 1093.3 1120.0 1146.7 1173.3 1200.0 800.0 : 26.7 53.3 80.0 106.7 133.3 160.0 186.7 213.3 240.0 266.7 293.3 320.0 346.7 373.3 400.0 426.7 453.3 480.0 506.7 533.3 560.0 586.7 613.3 640.0 666.7 693.3 720.0 746.7 773.3 800.0 826.7 853.3 880.0 906.7 933.3 960.0 986.7 1013.3 1040.0 1066.7 1093.3 1120.0 1146.7 1173.3 1200.0 826.7 : 26.7 53.3 80.0 106.7 133.3 160.0 186.7 213.3 240.0 266.7 293.3 320.0 346.7 373.3 400.0 426.7 453.3 480.0 506.7 533.3 560.0 586.7 613.3 640.0 666.7 693.3 720.0 746.7 773.3 800.0 826.7 853.3 880.0 906.7 933.3 960.0 986.7 1013.3 1040.0 1066.7 1093.3 1120.0 1146.7 1173.3 1200.0 853.3 : 26.7 53.3 80.0 106.7 133.3 160.0 186.7 213.3 240.0 266.7 293.3 320.0 346.7 373.3 400.0 426.7 453.3 480.0 506.7 533.3 560.0 586.7 613.3 640.0 666.7 693.3 720.0 746.7 773.3 800.0 826.7 853.3 880.0 906.7 933.3 960.0 986.7 1013.3 1040.0 1066.7 1093.3 1120.0 1146.7 1173.3 1200.0 880.0 : 26.7 53.3 80.0 106.7 133.3 160.0 186.7 213.3 240.0 266.7 293.3 320.0 346.7 373.3 400.0 426.7 453.3 480.0 506.7 533.3 560.0 586.7 613.3 640.0 666.7 693.3 720.0 746.7 773.3 800.0 826.7 853.3 880.0 906.7 933.3 960.0 986.7 1013.3 1040.0 1066.7 1093.3 1120.0 1146.7 1173.3 1200.0 906.7 : 26.7 53.3 80.0 106.7 133.3 160.0 186.7 213.3 240.0 266.7 293.3 320.0 346.7 373.3 400.0 426.7 453.3 480.0 506.7 533.3 560.0 586.7 613.3 640.0 666.7 693.3 720.0 746.7 773.3 800.0 826.7 853.3 880.0 906.7 933.3 960.0 986.7 1013.3 1040.0 1066.7 1093.3 1120.0 1146.7 1173.3 1200.0 933.3 : 26.7 53.3 80.0 106.7 133.3 160.0 186.7 213.3 240.0 266.7 293.3 320.0 346.7 373.3 400.0 426.7 453.3 480.0 506.7 533.3 560.0 586.7 613.3 640.0 666.7 693.3 720.0 746.7 773.3 800.0 826.7 853.3 880.0 906.7 933.3 960.0 986.7 1013.3 1040.0 1066.7 1093.3 1120.0 1146.7 1173.3 1200.0 960.0 : 26.7 53.3 80.0 106.7 133.3 160.0 186.7 213.3 240.0 266.7 293.3 320.0 346.7 373.3 400.0 426.7 453.3 480.0 506.7 533.3 560.0 586.7 613.3 640.0 666.7 693.3 720.0 746.7 773.3 800.0 826.7 853.3 880.0 906.7 933.3 960.0 986.7 1013.3 1040.0 1066.7 1093.3 1120.0 1146.7 1173.3 1200.0 986.7 : 26.7 53.3 80.0 106.7 133.3 160.0 186.7 213.3 240.0 266.7 293.3 320.0 346.7 373.3 400.0 426.7 453.3 480.0 506.7 533.3 560.0 586.7 613.3 640.0 666.7 693.3 720.0 746.7 773.3 800.0 826.7 853.3 880.0 906.7 933.3 960.0 986.7 1013.3 1040.0 1066.7 1093.3 1120.0 1146.7 1173.3 1200.0 1013.3: 26.7 53.3 80.0 106.7 133.3 160.0 186.7 213.3 240.0 266.7 293.3 320.0 346.7 373.3 400.0 426.7 453.3 480.0 506.7 533.3 560.0 586.7 613.3 640.0 666.7 693.3 720.0 746.7 773.3 800.0 826.7 853.3 880.0 906.7 933.3 960.0 986.7 1013.3 1040.0 1066.7 1093.3 1120.0 1146.7 1173.3 1200.0 1040.0: 26.7 53.3 80.0 106.7 133.3 160.0 186.7 213.3 240.0 266.7 293.3 320.0 346.7 373.3 400.0 426.7 453.3 480.0 506.7 533.3 560.0 586.7 613.3 640.0 666.7 693.3 720.0 746.7 773.3 800.0 826.7 853.3 880.0 906.7 933.3 960.0 986.7 1013.3 1040.0 1066.7 1093.3 1120.0 1146.7 1173.3 1200.0 1066.7: 26.7 53.3 80.0 106.7 133.3 160.0 186.7 213.3 240.0 266.7 293.3 320.0 346.7 373.3 400.0 426.7 453.3 480.0 506.7 533.3 560.0 586.7 613.3 640.0 666.7 693.3 720.0 746.7 773.3 800.0 826.7 853.3 880.0 906.7 933.3 960.0 986.7 1013.3 1040.0 1066.7 1093.3 1120.0 1146.7 1173.3 1200.0 1093.3: 26.7 53.3 80.0 106.7 133.3 160.0 186.7 213.3 240.0 266.7 293.3 320.0 346.7 373.3 400.0 426.7 453.3 480.0 506.7 533.3 560.0 586.7 613.3 640.0 666.7 693.3 720.0 746.7 773.3 800.0 826.7 853.3 880.0 906.7 933.3 960.0 986.7 1013.3 1040.0 1066.7 1093.3 1120.0 1146.7 1173.3 1200.0 1120.0: 26.7 53.3 80.0 106.7 133.3 160.0 186.7 213.3 240.0 266.7 293.3 320.0 346.7 373.3 400.0 426.7 453.3 480.0 506.7 533.3 560.0 586.7 613.3 640.0 666.7 693.3 720.0 746.7 773.3 800.0 826.7 853.3 880.0 906.7 933.3 960.0 986.7 1013.3 1040.0 1066.7 1093.3 1120.0 1146.7 1173.3 1200.0 1146.7: 26.7 53.3 80.0 106.7 133.3 160.0 186.7 213.3 240.0 266.7 293.3 320.0 346.7 373.3 400.0 426.7 453.3 480.0 506.7 533.3 560.0 586.7 613.3 640.0 666.7 693.3 720.0 746.7 773.3 800.0 826.7 853.3 880.0 906.7 933.3 960.0 986.7 1013.3 1040.0 1066.7 1093.3 1120.0 1146.7 1173.3 1200.0 1173.3: 26.7 53.3 80.0 106.7 133.3 160.0 186.7 213.3 240.0 266.7 293.3 320.0 346.7 373.3 400.0 426.7 453.3 480.0 506.7 533.3 560.0 586.7 613.3 640.0 666.7 693.3 720.0 746.7 773.3 800.0 826.7 853.3 880.0 906.7 933.3 960.0 986.7 1013.3 1040.0 1066.7 1093.3 1120.0 1146.7 1173.3 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 26.6667 .. 26.6667 cents 1/1, 0.0000 cents 26.66667 cents 2: 53.3333 .. 53.3333 cents 1/1, 0.0000 cents 26.66667 cents 3: 80.0000 .. 80.0000 cents 1/1, 0.0000 cents 26.66667 cents 4: 106.6667 .. 106.6667 cents 1/1, 0.0000 cents 26.66667 cents 5: 133.3333 .. 133.3333 cents 1/1, 0.0000 cents 26.66667 cents 6: 160.0000 .. 160.0000 cents 1/1, 0.0000 cents 26.66667 cents 7: 186.6667 .. 186.6667 cents 1/1, 0.0000 cents 26.66667 cents 8: 213.3333 .. 213.3333 cents 1/1, 0.0000 cents 26.66667 cents 9: 240.0000 .. 240.0000 cents 1/1, 0.0000 cents 26.66667 cents 10: 266.6667 .. 266.6667 cents 1/1, 0.0000 cents 26.66667 cents 11: 293.3333 .. 293.3333 cents 1/1, 0.0000 cents 26.66667 cents 12: 320.0000 .. 320.0000 cents 1/1, 0.0000 cents 26.66667 cents 13: 346.6667 .. 346.6667 cents 1/1, 0.0000 cents 26.66667 cents 14: 373.3333 .. 373.3333 cents 1/1, 0.0000 cents 26.66667 cents 15: 400.0000 .. 400.0000 cents 1/1, 0.0000 cents 26.66667 cents 16: 426.6667 .. 426.6667 cents 1/1, 0.0000 cents 26.66667 cents 17: 453.3333 .. 453.3333 cents 1/1, 0.0000 cents 26.66667 cents 18: 480.0000 .. 480.0000 cents 1/1, 0.0000 cents 26.66667 cents 19: 506.6667 .. 506.6667 cents 1/1, 0.0000 cents 26.66667 cents 20: 533.3333 .. 533.3333 cents 1/1, 0.0000 cents 26.66667 cents 21: 560.0000 .. 560.0000 cents 1/1, 0.0000 cents 26.66667 cents 22: 586.6667 .. 586.6667 cents 1/1, 0.0000 cents 26.66667 cents 23: 613.3333 .. 613.3333 cents 1/1, 0.0000 cents 26.66667 cents 24: 640.0000 .. 640.0000 cents 1/1, 0.0000 cents 26.66667 cents 25: 666.6667 .. 666.6667 cents 1/1, 0.0000 cents 26.66667 cents 26: 693.3333 .. 693.3333 cents 1/1, 0.0000 cents 26.66667 cents 27: 720.0000 .. 720.0000 cents 1/1, 0.0000 cents 26.66667 cents 28: 746.6667 .. 746.6667 cents 1/1, 0.0000 cents 26.66667 cents 29: 773.3333 .. 773.3333 cents 1/1, 0.0000 cents 26.66667 cents 30: 800.0000 .. 800.0000 cents 1/1, 0.0000 cents 26.66667 cents 31: 826.6667 .. 826.6667 cents 1/1, 0.0000 cents 26.66667 cents 32: 853.3333 .. 853.3333 cents 1/1, 0.0000 cents 26.66667 cents 33: 880.0000 .. 880.0000 cents 1/1, 0.0000 cents 26.66667 cents 34: 906.6667 .. 906.6667 cents 1/1, 0.0000 cents 26.66667 cents 35: 933.3333 .. 933.3333 cents 1/1, 0.0000 cents 26.66667 cents 36: 960.0000 .. 960.0000 cents 1/1, 0.0000 cents 26.66667 cents 37: 986.6667 .. 986.6667 cents 1/1, 0.0000 cents 26.66667 cents 38: 1013.3333 .. 1013.3333 cents 1/1, 0.0000 cents 26.66667 cents 39: 1040.0000 .. 1040.0000 cents 1/1, 0.0000 cents 26.66667 cents 40: 1066.6667 .. 1066.6667 cents 1/1, 0.0000 cents 26.66667 cents 41: 1093.3333 .. 1093.3333 cents 1/1, 0.0000 cents 26.66667 cents 42: 1120.0000 .. 1120.0000 cents 1/1, 0.0000 cents 26.66667 cents 43: 1146.6667 .. 1146.6667 cents 1/1, 0.0000 cents 26.66667 cents 44: 1173.3333 .. 1173.3333 cents 1/1, 0.0000 cents 26.66667 cents
SHOW DATA
Number of notes : 45 -- Interval properties -- Smallest interval : 26.66667 cents, class 1 Average step (divided formal octave): 26.6667 cents Largest one step interval : 26.66667 cents Average / Smallest step : 1.000000 Largest / Average step : 1.000000 Largest / Smallest step : 1.000000 Median interval of one step : 26.66667 cents, amount: 45 Most common interval of one step : 26.66667 cents, amount: 45 Least squares average step : 26.66667 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 26.66667 cents Ratio Whole / Half tone : 1.400000 ( 7/5 ) Scale diversity : 1.000000 Rothenberg stability : 1.000000 = 1 Lumma stability : 1.000000 Rothenberg efficiency : 0.022222 redundancy: 0.977778 Efficiency x scale size : 1.000000 Number of different interval sizes : 44 = 1.00000 / class Number of one step interval sizes : 1 Mean interval variety : 1.00000 = 1 Lowest interval variety : 1 Number of recognisable fifths : 45, average 693.3333 cents Scale contains two identical disjunct "tetrachords" of 20 notes Best fifths form a closed circle Best major thirds form a closed circle Limited transpositions : all Inversional symmetry on degrees : all Inversional symmetry on intervals : all -- Rational properties --
FIT/MODE
45: 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: 4.3108 cents 3 .. 6 match: 3 H SD: 3.2203 cents 4 .. 8 match: 4 H SD: 4.4772 cents 5 .. 10 match: 5 H SD: 2.9861 cents 6 .. 12 match: 6 H SD: 2.6634 cents 7 .. 14 match: 7 H SD: 2.3702 cents 8 .. 16 match: 8 H SD: 3.2465 cents 9 .. 18 match: 9 H SD: 2.0567 cents 10 .. 20 match: 10 H SD: 2.3322 cents 11 .. 22 match: 11 H SD: 2.0669 cents 12 .. 24 match: 12 H SD: 2.1979 cents 13 .. 26 match: 13 H SD: 2.0106 cents 14 .. 28 match: 14 H SD: 2.1025 cents 15 .. 30 match: 15 H SD: 1.8232 cents 16 .. 32 match: 16 H SD: 2.0057 cents 17 .. 34 match: 17 H SD: 1.7434 cents 18 .. 36 match: 18 H SD: 1.6093 cents 19 .. 38 match: 19 H SD: 1.9389 cents 20 .. 40 match: 20 H SD: 1.8703 cents 21 .. 42 match: 21 H SD: 1.5276 cents 22 .. 44 match: 22 H SD: 1.5435 cents 23 .. 46 match: 23 H SD: 1.6768 cents 24 .. 48 match: 24 H SD: 1.6820 cents 25 .. 50 match: 25 H SD: 1.4248 cents 26 .. 52 match: 26 H SD: 1.6232 cents 27 .. 54 match: 27 H SD: 1.3621 cents 28 .. 56 match: 28 H SD: 1.5441 cents 29 .. 58 match: 29 H SD: 1.4470 cents 30 .. 60 match: 30 H SD: 1.2765 cents 31 .. 62 match: 31 H SD: 1.2607 cents 32 .. 64 match: 32 H SD: 1.2743 cents 33 .. 66 match: 33 H SD: 1.2344 cents 34 .. 68 match: 34 H SD: 1.1499 cents 35 .. 70 match: 35 H SD: 1.1202 cents 36 .. 72 match: 36 H SD: 1.2638 cents 37 .. 74 match: 36 SD: 1.4341 cents 38 .. 76 match: 37 SD: 1.2699 cents 39 .. 78 match: 38 S SD: 1.0501 cents 40 .. 80 match: 38 SD: 1.3678 cents 41 .. 82 match: 39 S SD: 1.1576 cents 42 .. 84 match: 40 SD: 1.1323 cents 43 .. 86 match: 40 SD: 1.1830 cents 44 .. 88 match: 41 SD: 1.0666 cents 45 .. 90 match: 41 SD: 1.0987 cents 46 .. 92 match: 42 SD: 1.1596 cents 47 .. 94 match: 42 SD: 0.9531 cents 48 .. 96 match: 42 SD: 1.1863 cents 49 .. 98 match: 43 SD: 1.0063 cents 50 .. 100 match: 43 SD: 0.9404 cents 51 .. 102 match: 43 SD: 1.1251 cents 52 .. 104 match: 44 SD: 1.1305 cents 53 .. 106 match: 44 SD: 0.8703 cents 54 .. 108 match: 44 SD: 0.8810 cents 55 .. 110 match: 44 SD: 0.9623 cents 56 .. 112 match: 44 SD: 1.0898 cents 57 .. 114 match: 44 SD: 1.0977 cents 58 .. 116 match: 45 SD: 0.9497 cents 59 .. 118 match: 45 SD: 0.8200 cents 60 .. 120 match: 45 SD: 0.7624 cents 61 .. 122 match: 45 SD: 0.7608 cents 70 .. 140 match: 45 SD: 0.7601 cents 73 .. 146 match: 45 SD: 0.7343 cents 74 .. 148 match: 45 SD: 0.6989 cents 77 .. 154 match: 45 SD: 0.6964 cents 78 .. 156 match: 45 SD: 0.6767 cents 80 .. 160 match: 45 SD: 0.6570 cents 83 .. 166 match: 45 SD: 0.6335 cents 85 .. 170 match: 45 SD: 0.5918 cents 89 .. 178 match: 45 SD: 0.5596 cents 94 .. 188 match: 45 SD: 0.5527 cents 97 .. 194 match: 45 SD: 0.5349 cents 100 .. 200 match: 45 SD: 0.4912 cents 103 .. 206 match: 45 SD: 0.4879 cents 107 .. 214 match: 45 SD: 0.4692 cents 108 .. 216 match: 45 SD: 0.4423 cents 113 .. 226 match: 45 SD: 0.4229 cents 121 .. 242 match: 45 SD: 0.4093 cents 122 .. 244 match: 45 SD: 0.4034 cents 124 .. 248 match: 45 SD: 0.3655 cents 134 .. 268 match: 45 SD: 0.3655 cents 136 .. 272 match: 45 SD: 0.3654 cents 146 .. 292 match: 45 SD: 0.3571 cents 147 .. 294 match: 45 SD: 0.3369 cents 154 .. 308 match: 45 SD: 0.3312 cents 157 .. 314 match: 45 SD: 0.3140 cents 163 .. 326 match: 45 SD: 0.3137 cents 167 .. 334 match: 45 SD: 0.2800 cents 174 .. 348 match: 45 SD: 0.2785 cents 185 .. 370 match: 45 SD: 0.2690 cents 186 .. 372 match: 45 SD: 0.2399 cents 204 .. 408 match: 45 SD: 0.2388 cents 211 .. 422 match: 45 SD: 0.2283 cents 217 .. 434 match: 45 SD: 0.2270 cents 221 .. 442 match: 45 SD: 0.2163 cents 228 .. 456 match: 45 SD: 0.2088 cents 235 .. 470 match: 45 SD: 0.1983 cents 250 .. 500 match: 45 SD: 0.1750 cents 270 .. 540 match: 45 SD: 0.1749 cents 297 .. 594 match: 45 SD: 0.1629 cents 311 .. 622 match: 45 SD: 0.1477 cents 335 .. 670 match: 45 SD: 0.1474 cents 341 .. 682 match: 45 SD: 0.1393 cents 358 .. 716 match: 45 SD: 0.1363 cents 361 .. 722 match: 45 SD: 0.1346 cents 362 .. 724 match: 45 SD: 0.1322 cents 374 .. 748 match: 45 SD: 0.1311 cents 378 .. 756 match: 45 SD: 0.1266 cents 379 .. 758 match: 45 SD: 0.1260 cents 385 .. 770 match: 45 SD: 0.1231 cents 411 .. 822 match: 45 SD: 0.1203 cents 424 .. 848 match: 45 SD: 0.1097 cents 444 .. 888 match: 45 SD: 0.1032 cents 451 .. 902 match: 45 SD: 0.1031 cents 458 .. 916 match: 45 SD: 0.1031 cents 487 .. 974 match: 45 SD: 0.0964 cents 504 .. 1008 match: 45 SD: 0.0909 cents 526 .. 1052 match: 45 SD: 0.0906 cents 536 .. 1072 match: 45 SD: 0.0886 cents 551 .. 1102 match: 45 SD: 0.0873 cents 565 .. 1130 match: 45 SD: 0.0822 cents 577 .. 1154 match: 45 SD: 0.0778 cents