Scala analysis: undeviginti57
Undeviginti[57] (152&171) in 171-et tuning
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 7.018 cents 7.017544 2: 14.035 cents 14.035088 3: 63.158 cents 63.157895 4: 70.175 cents 70.175439 5: 77.193 cents 77.192982 6: 126.316 cents 126.315790 7: 133.333 cents 133.333333 8: 140.351 cents 140.350877 9: 189.474 cents 189.473684 10: 196.491 cents 196.491228 11: 203.509 cents 203.508772 12: 252.632 cents 252.631579 13: 259.649 cents 259.649123 14: 266.667 cents 266.666667 15: 315.789 cents 315.789474 16: 322.807 cents 322.807018 17: 329.825 cents 329.824561 18: 378.947 cents 378.947368 19: 385.965 cents 385.964912 20: 392.982 cents 392.982456 21: 442.105 cents 442.105263 22: 449.123 cents 449.122807 23: 456.140 cents 456.140351 24: 505.263 cents 505.263158 25: 512.281 cents 512.280702 26: 519.298 cents 519.298246 27: 568.421 cents 568.421053 28: 575.439 cents 575.438596 29: 582.456 cents 582.456140 30: 631.579 cents 631.578947 31: 638.596 cents 638.596491 32: 645.614 cents 645.614035 33: 694.737 cents 694.736842 34: 701.754 cents 701.754386 35: 708.772 cents 708.771930 36: 757.895 cents 757.894737 37: 764.912 cents 764.912281 38: 771.930 cents 771.929825 39: 821.053 cents 821.052632 40: 828.070 cents 828.070175 41: 835.088 cents 835.087719 42: 884.211 cents 884.210526 43: 891.228 cents 891.228070 44: 898.246 cents 898.245614 45: 947.368 cents 947.368421 46: 954.386 cents 954.385965 47: 961.404 cents 961.403509 48: 1010.526 cents 1010.526316 49: 1017.544 cents 1017.543860 50: 1024.561 cents 1024.561404 51: 1073.684 cents 1073.684211 52: 1080.702 cents 1080.701754 53: 1087.719 cents 1087.719298 54: 1136.842 cents 1136.842105 55: 1143.860 cents 1143.859649 56: 1150.877 cents 1150.877193 57: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 49.1228 cents 49.1228 1: 7.0175 cents 7.0175 2: 7.0175 cents 7.0175 3: 49.1228 cents 49.1228 4: 7.0175 cents 7.0175 5: 7.0175 cents 7.0175 6: 49.1228 cents 49.1228 7: 7.0175 cents 7.0175 8: 7.0175 cents 7.0175 9: 49.1228 cents 49.1228 10: 7.0175 cents 7.0175 11: 7.0175 cents 7.0175 12: 49.1228 cents 49.1228 13: 7.0175 cents 7.0175 14: 7.0175 cents 7.0175 15: 49.1228 cents 49.1228 16: 7.0175 cents 7.0175 17: 7.0175 cents 7.0175 18: 49.1228 cents 49.1228 19: 7.0175 cents 7.0175 20: 7.0175 cents 7.0175 21: 49.1228 cents 49.1228 22: 7.0175 cents 7.0175 23: 7.0175 cents 7.0175 24: 49.1228 cents 49.1228 25: 7.0175 cents 7.0175 26: 7.0175 cents 7.0175 27: 49.1228 cents 49.1228 28: 7.0175 cents 7.0175 29: 7.0175 cents 7.0175 30: 49.1228 cents 49.1228 31: 7.0175 cents 7.0175 32: 7.0175 cents 7.0175 33: 49.1228 cents 49.1228 34: 7.0175 cents 7.0175 35: 7.0175 cents 7.0175 36: 49.1228 cents 49.1228 37: 7.0175 cents 7.0175 38: 7.0175 cents 7.0175 39: 49.1228 cents 49.1228 40: 7.0175 cents 7.0175 41: 7.0175 cents 7.0175 42: 49.1228 cents 49.1228 43: 7.0175 cents 7.0175 44: 7.0175 cents 7.0175 45: 49.1228 cents 49.1228 46: 7.0175 cents 7.0175 47: 7.0175 cents 7.0175 48: 49.1228 cents 49.1228 49: 7.0175 cents 7.0175 50: 7.0175 cents 7.0175 51: 49.1228 cents 49.1228 52: 7.0175 cents 7.0175 53: 7.0175 cents 7.0175 54: 49.1228 cents 49.1228 55: 7.0175 cents 7.0175 56: 7.0175 cents 7.0175 57: 49.1228 cents 49.1228
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 38 7.01754 cents 1: 19 49.12281 cents 2: 19 14.03509 cents 2: 38 56.14035 cents 3: 57 63.15790 cents 4: 38 70.17544 cents 4: 19 112.28070 cents 5: 19 77.19298 cents 5: 38 119.29825 cents 6: 57 126.31579 cents 7: 38 133.33333 cents 7: 19 175.43860 cents 8: 19 140.35088 cents 8: 38 182.45614 cents 9: 57 189.47368 cents 10: 38 196.49123 cents 10: 19 238.59649 cents 11: 19 203.50877 cents 11: 38 245.61403 cents 12: 57 252.63158 cents 13: 38 259.64912 cents 13: 19 301.75439 cents 14: 19 266.66667 cents 14: 38 308.77193 cents 15: 57 315.78947 cents 16: 38 322.80702 cents 16: 19 364.91228 cents 17: 19 329.82456 cents 17: 38 371.92982 cents 18: 57 378.94737 cents 19: 38 385.96491 cents 19: 19 428.07018 cents 20: 19 392.98246 cents 20: 38 435.08772 cents 21: 57 442.10526 cents 22: 38 449.12281 cents 22: 19 491.22807 cents 23: 19 456.14035 cents 23: 38 498.24561 cents 24: 57 505.26316 cents 25: 38 512.28070 cents 25: 19 554.38596 cents 26: 19 519.29825 cents 26: 38 561.40351 cents 27: 57 568.42105 cents 28: 38 575.43860 cents 28: 19 617.54386 cents 29: 19 582.45614 cents 29: 38 624.56140 cents 30: 57 631.57895 cents 31: 38 638.59649 cents 31: 19 680.70175 cents 32: 19 645.61403 cents 32: 38 687.71930 cents 33: 57 694.73684 cents 34: 38 701.75439 cents 34: 19 743.85965 cents 35: 19 708.77193 cents 35: 38 750.87719 cents 36: 57 757.89474 cents 37: 38 764.91228 cents 37: 19 807.01754 cents 38: 19 771.92983 cents 38: 38 814.03509 cents 39: 57 821.05263 cents 40: 38 828.07017 cents 40: 19 870.17544 cents 41: 19 835.08772 cents 41: 38 877.19298 cents 42: 57 884.21053 cents 43: 38 891.22807 cents 43: 19 933.33333 cents 44: 19 898.24561 cents 44: 38 940.35088 cents 45: 57 947.36842 cents 46: 38 954.38597 cents 46: 19 996.49123 cents 47: 19 961.40351 cents 47: 38 1003.50877 cents 48: 57 1010.52632 cents 49: 38 1017.54386 cents 49: 19 1059.64912 cents 50: 19 1024.56140 cents 50: 38 1066.66667 cents 51: 57 1073.68421 cents 52: 38 1080.70175 cents 52: 19 1122.80702 cents 53: 19 1087.71930 cents 53: 38 1129.82456 cents 54: 57 1136.84210 cents 55: 38 1143.85965 cents 55: 19 1185.96491 cents 56: 19 1150.87719 cents 56: 38 1192.98246 cents Highest number of different intervals for one interval class: 2 Average number of different intervals per interval class: 1.67857 = 47/28
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 55 56 57 0.0 : 7.0 14.0 63.2 70.2 77.2 126.3 133.3 140.4 189.5 196.5 203.5 252.6 259.6 266.7 315.8 322.8 329.8 378.9 386.0 393.0 442.1 449.1 456.1 505.3 512.3 519.3 568.4 575.4 582.5 631.6 638.6 645.6 694.7 701.8 708.8 757.9 764.9 771.9 821.1 828.1 835.1 884.2 891.2 898.2 947.4 954.4 961.4 1010.5 1017.5 1024.6 1073.7 1080.7 1087.7 1136.8 1143.9 1150.9 1200.0 7.0 : 7.0 56.1 63.2 70.2 119.3 126.3 133.3 182.5 189.5 196.5 245.6 252.6 259.6 308.8 315.8 322.8 371.9 378.9 386.0 435.1 442.1 449.1 498.2 505.3 512.3 561.4 568.4 575.4 624.6 631.6 638.6 687.7 694.7 701.8 750.9 757.9 764.9 814.0 821.1 828.1 877.2 884.2 891.2 940.4 947.4 954.4 1003.5 1010.5 1017.5 1066.7 1073.7 1080.7 1129.8 1136.8 1143.9 1193.0 1200.0 14.0 : 49.1 56.1 63.2 112.3 119.3 126.3 175.4 182.5 189.5 238.6 245.6 252.6 301.8 308.8 315.8 364.9 371.9 378.9 428.1 435.1 442.1 491.2 498.2 505.3 554.4 561.4 568.4 617.5 624.6 631.6 680.7 687.7 694.7 743.9 750.9 757.9 807.0 814.0 821.1 870.2 877.2 884.2 933.3 940.4 947.4 996.5 1003.5 1010.5 1059.6 1066.7 1073.7 1122.8 1129.8 1136.8 1186.0 1193.0 1200.0 63.2 : 7.0 14.0 63.2 70.2 77.2 126.3 133.3 140.4 189.5 196.5 203.5 252.6 259.6 266.7 315.8 322.8 329.8 378.9 386.0 393.0 442.1 449.1 456.1 505.3 512.3 519.3 568.4 575.4 582.5 631.6 638.6 645.6 694.7 701.8 708.8 757.9 764.9 771.9 821.1 828.1 835.1 884.2 891.2 898.2 947.4 954.4 961.4 1010.5 1017.5 1024.6 1073.7 1080.7 1087.7 1136.8 1143.9 1150.9 1200.0 70.2 : 7.0 56.1 63.2 70.2 119.3 126.3 133.3 182.5 189.5 196.5 245.6 252.6 259.6 308.8 315.8 322.8 371.9 378.9 386.0 435.1 442.1 449.1 498.2 505.3 512.3 561.4 568.4 575.4 624.6 631.6 638.6 687.7 694.7 701.8 750.9 757.9 764.9 814.0 821.1 828.1 877.2 884.2 891.2 940.4 947.4 954.4 1003.5 1010.5 1017.5 1066.7 1073.7 1080.7 1129.8 1136.8 1143.9 1193.0 1200.0 77.2 : 49.1 56.1 63.2 112.3 119.3 126.3 175.4 182.5 189.5 238.6 245.6 252.6 301.8 308.8 315.8 364.9 371.9 378.9 428.1 435.1 442.1 491.2 498.2 505.3 554.4 561.4 568.4 617.5 624.6 631.6 680.7 687.7 694.7 743.9 750.9 757.9 807.0 814.0 821.1 870.2 877.2 884.2 933.3 940.4 947.4 996.5 1003.5 1010.5 1059.6 1066.7 1073.7 1122.8 1129.8 1136.8 1186.0 1193.0 1200.0 126.3 : 7.0 14.0 63.2 70.2 77.2 126.3 133.3 140.4 189.5 196.5 203.5 252.6 259.6 266.7 315.8 322.8 329.8 378.9 386.0 393.0 442.1 449.1 456.1 505.3 512.3 519.3 568.4 575.4 582.5 631.6 638.6 645.6 694.7 701.8 708.8 757.9 764.9 771.9 821.1 828.1 835.1 884.2 891.2 898.2 947.4 954.4 961.4 1010.5 1017.5 1024.6 1073.7 1080.7 1087.7 1136.8 1143.9 1150.9 1200.0 133.3 : 7.0 56.1 63.2 70.2 119.3 126.3 133.3 182.5 189.5 196.5 245.6 252.6 259.6 308.8 315.8 322.8 371.9 378.9 386.0 435.1 442.1 449.1 498.2 505.3 512.3 561.4 568.4 575.4 624.6 631.6 638.6 687.7 694.7 701.8 750.9 757.9 764.9 814.0 821.1 828.1 877.2 884.2 891.2 940.4 947.4 954.4 1003.5 1010.5 1017.5 1066.7 1073.7 1080.7 1129.8 1136.8 1143.9 1193.0 1200.0 140.4 : 49.1 56.1 63.2 112.3 119.3 126.3 175.4 182.5 189.5 238.6 245.6 252.6 301.8 308.8 315.8 364.9 371.9 378.9 428.1 435.1 442.1 491.2 498.2 505.3 554.4 561.4 568.4 617.5 624.6 631.6 680.7 687.7 694.7 743.9 750.9 757.9 807.0 814.0 821.1 870.2 877.2 884.2 933.3 940.4 947.4 996.5 1003.5 1010.5 1059.6 1066.7 1073.7 1122.8 1129.8 1136.8 1186.0 1193.0 1200.0 189.5 : 7.0 14.0 63.2 70.2 77.2 126.3 133.3 140.4 189.5 196.5 203.5 252.6 259.6 266.7 315.8 322.8 329.8 378.9 386.0 393.0 442.1 449.1 456.1 505.3 512.3 519.3 568.4 575.4 582.5 631.6 638.6 645.6 694.7 701.8 708.8 757.9 764.9 771.9 821.1 828.1 835.1 884.2 891.2 898.2 947.4 954.4 961.4 1010.5 1017.5 1024.6 1073.7 1080.7 1087.7 1136.8 1143.9 1150.9 1200.0 196.5 : 7.0 56.1 63.2 70.2 119.3 126.3 133.3 182.5 189.5 196.5 245.6 252.6 259.6 308.8 315.8 322.8 371.9 378.9 386.0 435.1 442.1 449.1 498.2 505.3 512.3 561.4 568.4 575.4 624.6 631.6 638.6 687.7 694.7 701.8 750.9 757.9 764.9 814.0 821.1 828.1 877.2 884.2 891.2 940.4 947.4 954.4 1003.5 1010.5 1017.5 1066.7 1073.7 1080.7 1129.8 1136.8 1143.9 1193.0 1200.0 203.5 : 49.1 56.1 63.2 112.3 119.3 126.3 175.4 182.5 189.5 238.6 245.6 252.6 301.8 308.8 315.8 364.9 371.9 378.9 428.1 435.1 442.1 491.2 498.2 505.3 554.4 561.4 568.4 617.5 624.6 631.6 680.7 687.7 694.7 743.9 750.9 757.9 807.0 814.0 821.1 870.2 877.2 884.2 933.3 940.4 947.4 996.5 1003.5 1010.5 1059.6 1066.7 1073.7 1122.8 1129.8 1136.8 1186.0 1193.0 1200.0 252.6 : 7.0 14.0 63.2 70.2 77.2 126.3 133.3 140.4 189.5 196.5 203.5 252.6 259.6 266.7 315.8 322.8 329.8 378.9 386.0 393.0 442.1 449.1 456.1 505.3 512.3 519.3 568.4 575.4 582.5 631.6 638.6 645.6 694.7 701.8 708.8 757.9 764.9 771.9 821.1 828.1 835.1 884.2 891.2 898.2 947.4 954.4 961.4 1010.5 1017.5 1024.6 1073.7 1080.7 1087.7 1136.8 1143.9 1150.9 1200.0 259.6 : 7.0 56.1 63.2 70.2 119.3 126.3 133.3 182.5 189.5 196.5 245.6 252.6 259.6 308.8 315.8 322.8 371.9 378.9 386.0 435.1 442.1 449.1 498.2 505.3 512.3 561.4 568.4 575.4 624.6 631.6 638.6 687.7 694.7 701.8 750.9 757.9 764.9 814.0 821.1 828.1 877.2 884.2 891.2 940.4 947.4 954.4 1003.5 1010.5 1017.5 1066.7 1073.7 1080.7 1129.8 1136.8 1143.9 1193.0 1200.0 266.7 : 49.1 56.1 63.2 112.3 119.3 126.3 175.4 182.5 189.5 238.6 245.6 252.6 301.8 308.8 315.8 364.9 371.9 378.9 428.1 435.1 442.1 491.2 498.2 505.3 554.4 561.4 568.4 617.5 624.6 631.6 680.7 687.7 694.7 743.9 750.9 757.9 807.0 814.0 821.1 870.2 877.2 884.2 933.3 940.4 947.4 996.5 1003.5 1010.5 1059.6 1066.7 1073.7 1122.8 1129.8 1136.8 1186.0 1193.0 1200.0 315.8 : 7.0 14.0 63.2 70.2 77.2 126.3 133.3 140.4 189.5 196.5 203.5 252.6 259.6 266.7 315.8 322.8 329.8 378.9 386.0 393.0 442.1 449.1 456.1 505.3 512.3 519.3 568.4 575.4 582.5 631.6 638.6 645.6 694.7 701.8 708.8 757.9 764.9 771.9 821.1 828.1 835.1 884.2 891.2 898.2 947.4 954.4 961.4 1010.5 1017.5 1024.6 1073.7 1080.7 1087.7 1136.8 1143.9 1150.9 1200.0 322.8 : 7.0 56.1 63.2 70.2 119.3 126.3 133.3 182.5 189.5 196.5 245.6 252.6 259.6 308.8 315.8 322.8 371.9 378.9 386.0 435.1 442.1 449.1 498.2 505.3 512.3 561.4 568.4 575.4 624.6 631.6 638.6 687.7 694.7 701.8 750.9 757.9 764.9 814.0 821.1 828.1 877.2 884.2 891.2 940.4 947.4 954.4 1003.5 1010.5 1017.5 1066.7 1073.7 1080.7 1129.8 1136.8 1143.9 1193.0 1200.0 329.8 : 49.1 56.1 63.2 112.3 119.3 126.3 175.4 182.5 189.5 238.6 245.6 252.6 301.8 308.8 315.8 364.9 371.9 378.9 428.1 435.1 442.1 491.2 498.2 505.3 554.4 561.4 568.4 617.5 624.6 631.6 680.7 687.7 694.7 743.9 750.9 757.9 807.0 814.0 821.1 870.2 877.2 884.2 933.3 940.4 947.4 996.5 1003.5 1010.5 1059.6 1066.7 1073.7 1122.8 1129.8 1136.8 1186.0 1193.0 1200.0 378.9 : 7.0 14.0 63.2 70.2 77.2 126.3 133.3 140.4 189.5 196.5 203.5 252.6 259.6 266.7 315.8 322.8 329.8 378.9 386.0 393.0 442.1 449.1 456.1 505.3 512.3 519.3 568.4 575.4 582.5 631.6 638.6 645.6 694.7 701.8 708.8 757.9 764.9 771.9 821.1 828.1 835.1 884.2 891.2 898.2 947.4 954.4 961.4 1010.5 1017.5 1024.6 1073.7 1080.7 1087.7 1136.8 1143.9 1150.9 1200.0 386.0 : 7.0 56.1 63.2 70.2 119.3 126.3 133.3 182.5 189.5 196.5 245.6 252.6 259.6 308.8 315.8 322.8 371.9 378.9 386.0 435.1 442.1 449.1 498.2 505.3 512.3 561.4 568.4 575.4 624.6 631.6 638.6 687.7 694.7 701.8 750.9 757.9 764.9 814.0 821.1 828.1 877.2 884.2 891.2 940.4 947.4 954.4 1003.5 1010.5 1017.5 1066.7 1073.7 1080.7 1129.8 1136.8 1143.9 1193.0 1200.0 393.0 : 49.1 56.1 63.2 112.3 119.3 126.3 175.4 182.5 189.5 238.6 245.6 252.6 301.8 308.8 315.8 364.9 371.9 378.9 428.1 435.1 442.1 491.2 498.2 505.3 554.4 561.4 568.4 617.5 624.6 631.6 680.7 687.7 694.7 743.9 750.9 757.9 807.0 814.0 821.1 870.2 877.2 884.2 933.3 940.4 947.4 996.5 1003.5 1010.5 1059.6 1066.7 1073.7 1122.8 1129.8 1136.8 1186.0 1193.0 1200.0 442.1 : 7.0 14.0 63.2 70.2 77.2 126.3 133.3 140.4 189.5 196.5 203.5 252.6 259.6 266.7 315.8 322.8 329.8 378.9 386.0 393.0 442.1 449.1 456.1 505.3 512.3 519.3 568.4 575.4 582.5 631.6 638.6 645.6 694.7 701.8 708.8 757.9 764.9 771.9 821.1 828.1 835.1 884.2 891.2 898.2 947.4 954.4 961.4 1010.5 1017.5 1024.6 1073.7 1080.7 1087.7 1136.8 1143.9 1150.9 1200.0 449.1 : 7.0 56.1 63.2 70.2 119.3 126.3 133.3 182.5 189.5 196.5 245.6 252.6 259.6 308.8 315.8 322.8 371.9 378.9 386.0 435.1 442.1 449.1 498.2 505.3 512.3 561.4 568.4 575.4 624.6 631.6 638.6 687.7 694.7 701.8 750.9 757.9 764.9 814.0 821.1 828.1 877.2 884.2 891.2 940.4 947.4 954.4 1003.5 1010.5 1017.5 1066.7 1073.7 1080.7 1129.8 1136.8 1143.9 1193.0 1200.0 456.1 : 49.1 56.1 63.2 112.3 119.3 126.3 175.4 182.5 189.5 238.6 245.6 252.6 301.8 308.8 315.8 364.9 371.9 378.9 428.1 435.1 442.1 491.2 498.2 505.3 554.4 561.4 568.4 617.5 624.6 631.6 680.7 687.7 694.7 743.9 750.9 757.9 807.0 814.0 821.1 870.2 877.2 884.2 933.3 940.4 947.4 996.5 1003.5 1010.5 1059.6 1066.7 1073.7 1122.8 1129.8 1136.8 1186.0 1193.0 1200.0 505.3 : 7.0 14.0 63.2 70.2 77.2 126.3 133.3 140.4 189.5 196.5 203.5 252.6 259.6 266.7 315.8 322.8 329.8 378.9 386.0 393.0 442.1 449.1 456.1 505.3 512.3 519.3 568.4 575.4 582.5 631.6 638.6 645.6 694.7 701.8 708.8 757.9 764.9 771.9 821.1 828.1 835.1 884.2 891.2 898.2 947.4 954.4 961.4 1010.5 1017.5 1024.6 1073.7 1080.7 1087.7 1136.8 1143.9 1150.9 1200.0 512.3 : 7.0 56.1 63.2 70.2 119.3 126.3 133.3 182.5 189.5 196.5 245.6 252.6 259.6 308.8 315.8 322.8 371.9 378.9 386.0 435.1 442.1 449.1 498.2 505.3 512.3 561.4 568.4 575.4 624.6 631.6 638.6 687.7 694.7 701.8 750.9 757.9 764.9 814.0 821.1 828.1 877.2 884.2 891.2 940.4 947.4 954.4 1003.5 1010.5 1017.5 1066.7 1073.7 1080.7 1129.8 1136.8 1143.9 1193.0 1200.0 519.3 : 49.1 56.1 63.2 112.3 119.3 126.3 175.4 182.5 189.5 238.6 245.6 252.6 301.8 308.8 315.8 364.9 371.9 378.9 428.1 435.1 442.1 491.2 498.2 505.3 554.4 561.4 568.4 617.5 624.6 631.6 680.7 687.7 694.7 743.9 750.9 757.9 807.0 814.0 821.1 870.2 877.2 884.2 933.3 940.4 947.4 996.5 1003.5 1010.5 1059.6 1066.7 1073.7 1122.8 1129.8 1136.8 1186.0 1193.0 1200.0 568.4 : 7.0 14.0 63.2 70.2 77.2 126.3 133.3 140.4 189.5 196.5 203.5 252.6 259.6 266.7 315.8 322.8 329.8 378.9 386.0 393.0 442.1 449.1 456.1 505.3 512.3 519.3 568.4 575.4 582.5 631.6 638.6 645.6 694.7 701.8 708.8 757.9 764.9 771.9 821.1 828.1 835.1 884.2 891.2 898.2 947.4 954.4 961.4 1010.5 1017.5 1024.6 1073.7 1080.7 1087.7 1136.8 1143.9 1150.9 1200.0 575.4 : 7.0 56.1 63.2 70.2 119.3 126.3 133.3 182.5 189.5 196.5 245.6 252.6 259.6 308.8 315.8 322.8 371.9 378.9 386.0 435.1 442.1 449.1 498.2 505.3 512.3 561.4 568.4 575.4 624.6 631.6 638.6 687.7 694.7 701.8 750.9 757.9 764.9 814.0 821.1 828.1 877.2 884.2 891.2 940.4 947.4 954.4 1003.5 1010.5 1017.5 1066.7 1073.7 1080.7 1129.8 1136.8 1143.9 1193.0 1200.0 582.5 : 49.1 56.1 63.2 112.3 119.3 126.3 175.4 182.5 189.5 238.6 245.6 252.6 301.8 308.8 315.8 364.9 371.9 378.9 428.1 435.1 442.1 491.2 498.2 505.3 554.4 561.4 568.4 617.5 624.6 631.6 680.7 687.7 694.7 743.9 750.9 757.9 807.0 814.0 821.1 870.2 877.2 884.2 933.3 940.4 947.4 996.5 1003.5 1010.5 1059.6 1066.7 1073.7 1122.8 1129.8 1136.8 1186.0 1193.0 1200.0 631.6 : 7.0 14.0 63.2 70.2 77.2 126.3 133.3 140.4 189.5 196.5 203.5 252.6 259.6 266.7 315.8 322.8 329.8 378.9 386.0 393.0 442.1 449.1 456.1 505.3 512.3 519.3 568.4 575.4 582.5 631.6 638.6 645.6 694.7 701.8 708.8 757.9 764.9 771.9 821.1 828.1 835.1 884.2 891.2 898.2 947.4 954.4 961.4 1010.5 1017.5 1024.6 1073.7 1080.7 1087.7 1136.8 1143.9 1150.9 1200.0 638.6 : 7.0 56.1 63.2 70.2 119.3 126.3 133.3 182.5 189.5 196.5 245.6 252.6 259.6 308.8 315.8 322.8 371.9 378.9 386.0 435.1 442.1 449.1 498.2 505.3 512.3 561.4 568.4 575.4 624.6 631.6 638.6 687.7 694.7 701.8 750.9 757.9 764.9 814.0 821.1 828.1 877.2 884.2 891.2 940.4 947.4 954.4 1003.5 1010.5 1017.5 1066.7 1073.7 1080.7 1129.8 1136.8 1143.9 1193.0 1200.0 645.6 : 49.1 56.1 63.2 112.3 119.3 126.3 175.4 182.5 189.5 238.6 245.6 252.6 301.8 308.8 315.8 364.9 371.9 378.9 428.1 435.1 442.1 491.2 498.2 505.3 554.4 561.4 568.4 617.5 624.6 631.6 680.7 687.7 694.7 743.9 750.9 757.9 807.0 814.0 821.1 870.2 877.2 884.2 933.3 940.4 947.4 996.5 1003.5 1010.5 1059.6 1066.7 1073.7 1122.8 1129.8 1136.8 1186.0 1193.0 1200.0 694.7 : 7.0 14.0 63.2 70.2 77.2 126.3 133.3 140.4 189.5 196.5 203.5 252.6 259.6 266.7 315.8 322.8 329.8 378.9 386.0 393.0 442.1 449.1 456.1 505.3 512.3 519.3 568.4 575.4 582.5 631.6 638.6 645.6 694.7 701.8 708.8 757.9 764.9 771.9 821.1 828.1 835.1 884.2 891.2 898.2 947.4 954.4 961.4 1010.5 1017.5 1024.6 1073.7 1080.7 1087.7 1136.8 1143.9 1150.9 1200.0 701.8 : 7.0 56.1 63.2 70.2 119.3 126.3 133.3 182.5 189.5 196.5 245.6 252.6 259.6 308.8 315.8 322.8 371.9 378.9 386.0 435.1 442.1 449.1 498.2 505.3 512.3 561.4 568.4 575.4 624.6 631.6 638.6 687.7 694.7 701.8 750.9 757.9 764.9 814.0 821.1 828.1 877.2 884.2 891.2 940.4 947.4 954.4 1003.5 1010.5 1017.5 1066.7 1073.7 1080.7 1129.8 1136.8 1143.9 1193.0 1200.0 708.8 : 49.1 56.1 63.2 112.3 119.3 126.3 175.4 182.5 189.5 238.6 245.6 252.6 301.8 308.8 315.8 364.9 371.9 378.9 428.1 435.1 442.1 491.2 498.2 505.3 554.4 561.4 568.4 617.5 624.6 631.6 680.7 687.7 694.7 743.9 750.9 757.9 807.0 814.0 821.1 870.2 877.2 884.2 933.3 940.4 947.4 996.5 1003.5 1010.5 1059.6 1066.7 1073.7 1122.8 1129.8 1136.8 1186.0 1193.0 1200.0 757.9 : 7.0 14.0 63.2 70.2 77.2 126.3 133.3 140.4 189.5 196.5 203.5 252.6 259.6 266.7 315.8 322.8 329.8 378.9 386.0 393.0 442.1 449.1 456.1 505.3 512.3 519.3 568.4 575.4 582.5 631.6 638.6 645.6 694.7 701.8 708.8 757.9 764.9 771.9 821.1 828.1 835.1 884.2 891.2 898.2 947.4 954.4 961.4 1010.5 1017.5 1024.6 1073.7 1080.7 1087.7 1136.8 1143.9 1150.9 1200.0 764.9 : 7.0 56.1 63.2 70.2 119.3 126.3 133.3 182.5 189.5 196.5 245.6 252.6 259.6 308.8 315.8 322.8 371.9 378.9 386.0 435.1 442.1 449.1 498.2 505.3 512.3 561.4 568.4 575.4 624.6 631.6 638.6 687.7 694.7 701.8 750.9 757.9 764.9 814.0 821.1 828.1 877.2 884.2 891.2 940.4 947.4 954.4 1003.5 1010.5 1017.5 1066.7 1073.7 1080.7 1129.8 1136.8 1143.9 1193.0 1200.0 771.9 : 49.1 56.1 63.2 112.3 119.3 126.3 175.4 182.5 189.5 238.6 245.6 252.6 301.8 308.8 315.8 364.9 371.9 378.9 428.1 435.1 442.1 491.2 498.2 505.3 554.4 561.4 568.4 617.5 624.6 631.6 680.7 687.7 694.7 743.9 750.9 757.9 807.0 814.0 821.1 870.2 877.2 884.2 933.3 940.4 947.4 996.5 1003.5 1010.5 1059.6 1066.7 1073.7 1122.8 1129.8 1136.8 1186.0 1193.0 1200.0 821.1 : 7.0 14.0 63.2 70.2 77.2 126.3 133.3 140.4 189.5 196.5 203.5 252.6 259.6 266.7 315.8 322.8 329.8 378.9 386.0 393.0 442.1 449.1 456.1 505.3 512.3 519.3 568.4 575.4 582.5 631.6 638.6 645.6 694.7 701.8 708.8 757.9 764.9 771.9 821.1 828.1 835.1 884.2 891.2 898.2 947.4 954.4 961.4 1010.5 1017.5 1024.6 1073.7 1080.7 1087.7 1136.8 1143.9 1150.9 1200.0 828.1 : 7.0 56.1 63.2 70.2 119.3 126.3 133.3 182.5 189.5 196.5 245.6 252.6 259.6 308.8 315.8 322.8 371.9 378.9 386.0 435.1 442.1 449.1 498.2 505.3 512.3 561.4 568.4 575.4 624.6 631.6 638.6 687.7 694.7 701.8 750.9 757.9 764.9 814.0 821.1 828.1 877.2 884.2 891.2 940.4 947.4 954.4 1003.5 1010.5 1017.5 1066.7 1073.7 1080.7 1129.8 1136.8 1143.9 1193.0 1200.0 835.1 : 49.1 56.1 63.2 112.3 119.3 126.3 175.4 182.5 189.5 238.6 245.6 252.6 301.8 308.8 315.8 364.9 371.9 378.9 428.1 435.1 442.1 491.2 498.2 505.3 554.4 561.4 568.4 617.5 624.6 631.6 680.7 687.7 694.7 743.9 750.9 757.9 807.0 814.0 821.1 870.2 877.2 884.2 933.3 940.4 947.4 996.5 1003.5 1010.5 1059.6 1066.7 1073.7 1122.8 1129.8 1136.8 1186.0 1193.0 1200.0 884.2 : 7.0 14.0 63.2 70.2 77.2 126.3 133.3 140.4 189.5 196.5 203.5 252.6 259.6 266.7 315.8 322.8 329.8 378.9 386.0 393.0 442.1 449.1 456.1 505.3 512.3 519.3 568.4 575.4 582.5 631.6 638.6 645.6 694.7 701.8 708.8 757.9 764.9 771.9 821.1 828.1 835.1 884.2 891.2 898.2 947.4 954.4 961.4 1010.5 1017.5 1024.6 1073.7 1080.7 1087.7 1136.8 1143.9 1150.9 1200.0 891.2 : 7.0 56.1 63.2 70.2 119.3 126.3 133.3 182.5 189.5 196.5 245.6 252.6 259.6 308.8 315.8 322.8 371.9 378.9 386.0 435.1 442.1 449.1 498.2 505.3 512.3 561.4 568.4 575.4 624.6 631.6 638.6 687.7 694.7 701.8 750.9 757.9 764.9 814.0 821.1 828.1 877.2 884.2 891.2 940.4 947.4 954.4 1003.5 1010.5 1017.5 1066.7 1073.7 1080.7 1129.8 1136.8 1143.9 1193.0 1200.0 898.2 : 49.1 56.1 63.2 112.3 119.3 126.3 175.4 182.5 189.5 238.6 245.6 252.6 301.8 308.8 315.8 364.9 371.9 378.9 428.1 435.1 442.1 491.2 498.2 505.3 554.4 561.4 568.4 617.5 624.6 631.6 680.7 687.7 694.7 743.9 750.9 757.9 807.0 814.0 821.1 870.2 877.2 884.2 933.3 940.4 947.4 996.5 1003.5 1010.5 1059.6 1066.7 1073.7 1122.8 1129.8 1136.8 1186.0 1193.0 1200.0 947.4 : 7.0 14.0 63.2 70.2 77.2 126.3 133.3 140.4 189.5 196.5 203.5 252.6 259.6 266.7 315.8 322.8 329.8 378.9 386.0 393.0 442.1 449.1 456.1 505.3 512.3 519.3 568.4 575.4 582.5 631.6 638.6 645.6 694.7 701.8 708.8 757.9 764.9 771.9 821.1 828.1 835.1 884.2 891.2 898.2 947.4 954.4 961.4 1010.5 1017.5 1024.6 1073.7 1080.7 1087.7 1136.8 1143.9 1150.9 1200.0 954.4 : 7.0 56.1 63.2 70.2 119.3 126.3 133.3 182.5 189.5 196.5 245.6 252.6 259.6 308.8 315.8 322.8 371.9 378.9 386.0 435.1 442.1 449.1 498.2 505.3 512.3 561.4 568.4 575.4 624.6 631.6 638.6 687.7 694.7 701.8 750.9 757.9 764.9 814.0 821.1 828.1 877.2 884.2 891.2 940.4 947.4 954.4 1003.5 1010.5 1017.5 1066.7 1073.7 1080.7 1129.8 1136.8 1143.9 1193.0 1200.0 961.4 : 49.1 56.1 63.2 112.3 119.3 126.3 175.4 182.5 189.5 238.6 245.6 252.6 301.8 308.8 315.8 364.9 371.9 378.9 428.1 435.1 442.1 491.2 498.2 505.3 554.4 561.4 568.4 617.5 624.6 631.6 680.7 687.7 694.7 743.9 750.9 757.9 807.0 814.0 821.1 870.2 877.2 884.2 933.3 940.4 947.4 996.5 1003.5 1010.5 1059.6 1066.7 1073.7 1122.8 1129.8 1136.8 1186.0 1193.0 1200.0 1010.5: 7.0 14.0 63.2 70.2 77.2 126.3 133.3 140.4 189.5 196.5 203.5 252.6 259.6 266.7 315.8 322.8 329.8 378.9 386.0 393.0 442.1 449.1 456.1 505.3 512.3 519.3 568.4 575.4 582.5 631.6 638.6 645.6 694.7 701.8 708.8 757.9 764.9 771.9 821.1 828.1 835.1 884.2 891.2 898.2 947.4 954.4 961.4 1010.5 1017.5 1024.6 1073.7 1080.7 1087.7 1136.8 1143.9 1150.9 1200.0 1017.5: 7.0 56.1 63.2 70.2 119.3 126.3 133.3 182.5 189.5 196.5 245.6 252.6 259.6 308.8 315.8 322.8 371.9 378.9 386.0 435.1 442.1 449.1 498.2 505.3 512.3 561.4 568.4 575.4 624.6 631.6 638.6 687.7 694.7 701.8 750.9 757.9 764.9 814.0 821.1 828.1 877.2 884.2 891.2 940.4 947.4 954.4 1003.5 1010.5 1017.5 1066.7 1073.7 1080.7 1129.8 1136.8 1143.9 1193.0 1200.0 1024.6: 49.1 56.1 63.2 112.3 119.3 126.3 175.4 182.5 189.5 238.6 245.6 252.6 301.8 308.8 315.8 364.9 371.9 378.9 428.1 435.1 442.1 491.2 498.2 505.3 554.4 561.4 568.4 617.5 624.6 631.6 680.7 687.7 694.7 743.9 750.9 757.9 807.0 814.0 821.1 870.2 877.2 884.2 933.3 940.4 947.4 996.5 1003.5 1010.5 1059.6 1066.7 1073.7 1122.8 1129.8 1136.8 1186.0 1193.0 1200.0 1073.7: 7.0 14.0 63.2 70.2 77.2 126.3 133.3 140.4 189.5 196.5 203.5 252.6 259.6 266.7 315.8 322.8 329.8 378.9 386.0 393.0 442.1 449.1 456.1 505.3 512.3 519.3 568.4 575.4 582.5 631.6 638.6 645.6 694.7 701.8 708.8 757.9 764.9 771.9 821.1 828.1 835.1 884.2 891.2 898.2 947.4 954.4 961.4 1010.5 1017.5 1024.6 1073.7 1080.7 1087.7 1136.8 1143.9 1150.9 1200.0 1080.7: 7.0 56.1 63.2 70.2 119.3 126.3 133.3 182.5 189.5 196.5 245.6 252.6 259.6 308.8 315.8 322.8 371.9 378.9 386.0 435.1 442.1 449.1 498.2 505.3 512.3 561.4 568.4 575.4 624.6 631.6 638.6 687.7 694.7 701.8 750.9 757.9 764.9 814.0 821.1 828.1 877.2 884.2 891.2 940.4 947.4 954.4 1003.5 1010.5 1017.5 1066.7 1073.7 1080.7 1129.8 1136.8 1143.9 1193.0 1200.0 1087.7: 49.1 56.1 63.2 112.3 119.3 126.3 175.4 182.5 189.5 238.6 245.6 252.6 301.8 308.8 315.8 364.9 371.9 378.9 428.1 435.1 442.1 491.2 498.2 505.3 554.4 561.4 568.4 617.5 624.6 631.6 680.7 687.7 694.7 743.9 750.9 757.9 807.0 814.0 821.1 870.2 877.2 884.2 933.3 940.4 947.4 996.5 1003.5 1010.5 1059.6 1066.7 1073.7 1122.8 1129.8 1136.8 1186.0 1193.0 1200.0 1136.8: 7.0 14.0 63.2 70.2 77.2 126.3 133.3 140.4 189.5 196.5 203.5 252.6 259.6 266.7 315.8 322.8 329.8 378.9 386.0 393.0 442.1 449.1 456.1 505.3 512.3 519.3 568.4 575.4 582.5 631.6 638.6 645.6 694.7 701.8 708.8 757.9 764.9 771.9 821.1 828.1 835.1 884.2 891.2 898.2 947.4 954.4 961.4 1010.5 1017.5 1024.6 1073.7 1080.7 1087.7 1136.8 1143.9 1150.9 1200.0 1143.9: 7.0 56.1 63.2 70.2 119.3 126.3 133.3 182.5 189.5 196.5 245.6 252.6 259.6 308.8 315.8 322.8 371.9 378.9 386.0 435.1 442.1 449.1 498.2 505.3 512.3 561.4 568.4 575.4 624.6 631.6 638.6 687.7 694.7 701.8 750.9 757.9 764.9 814.0 821.1 828.1 877.2 884.2 891.2 940.4 947.4 954.4 1003.5 1010.5 1017.5 1066.7 1073.7 1080.7 1129.8 1136.8 1143.9 1193.0 1200.0 1150.9: 49.1 56.1 63.2 112.3 119.3 126.3 175.4 182.5 189.5 238.6 245.6 252.6 301.8 308.8 315.8 364.9 371.9 378.9 428.1 435.1 442.1 491.2 498.2 505.3 554.4 561.4 568.4 617.5 624.6 631.6 680.7 687.7 694.7 743.9 750.9 757.9 807.0 814.0 821.1 870.2 877.2 884.2 933.3 940.4 947.4 996.5 1003.5 1010.5 1059.6 1066.7 1073.7 1122.8 1129.8 1136.8 1186.0 1193.0 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 7.0175 .. 49.1228 cents 42.10526 cents 7.01754 cents 2: 14.0351 .. 56.1404 cents 42.10526 cents -35.08772 cents 3: 63.1579 .. 63.1579 cents 1/1, 0.0000 cents 7.01754 cents 4: 70.1754 .. 112.2807 cents 42.10526 cents 7.01754 cents 5: 77.1930 .. 119.2982 cents 42.10526 cents -35.08772 cents 6: 126.3158 .. 126.3158 cents 1/1, 0.0000 cents 7.01754 cents 7: 133.3333 .. 175.4386 cents 42.10526 cents 7.01754 cents 8: 140.3509 .. 182.4561 cents 42.10526 cents -35.08772 cents 9: 189.4737 .. 189.4737 cents 1/1, 0.0000 cents 7.01754 cents 10: 196.4912 .. 238.5965 cents 42.10526 cents 7.01754 cents 11: 203.5088 .. 245.6140 cents 42.10526 cents -35.08772 cents 12: 252.6316 .. 252.6316 cents 1/1, 0.0000 cents 7.01754 cents 13: 259.6491 .. 301.7544 cents 42.10526 cents 7.01754 cents 14: 266.6667 .. 308.7719 cents 42.10526 cents -35.08772 cents 15: 315.7895 .. 315.7895 cents 1/1, 0.0000 cents 7.01754 cents 16: 322.8070 .. 364.9123 cents 42.10526 cents 7.01754 cents 17: 329.8246 .. 371.9298 cents 42.10526 cents -35.08772 cents 18: 378.9474 .. 378.9474 cents 1/1, 0.0000 cents 7.01754 cents 19: 385.9649 .. 428.0702 cents 42.10526 cents 7.01754 cents 20: 392.9825 .. 435.0877 cents 42.10526 cents -35.08772 cents 21: 442.1053 .. 442.1053 cents 1/1, 0.0000 cents 7.01754 cents 22: 449.1228 .. 491.2281 cents 42.10526 cents 7.01754 cents 23: 456.1404 .. 498.2456 cents 42.10526 cents -35.08772 cents 24: 505.2632 .. 505.2632 cents 1/1, 0.0000 cents 7.01754 cents 25: 512.2807 .. 554.3860 cents 42.10526 cents 7.01754 cents 26: 519.2982 .. 561.4035 cents 42.10526 cents -35.08772 cents 27: 568.4211 .. 568.4211 cents 1/1, 0.0000 cents 7.01754 cents 28: 575.4386 .. 617.5439 cents 42.10526 cents 7.01754 cents 29: 582.4561 .. 624.5614 cents 42.10526 cents -35.08772 cents 30: 631.5789 .. 631.5789 cents 1/1, 0.0000 cents 7.01754 cents 31: 638.5965 .. 680.7018 cents 42.10526 cents 7.01754 cents 32: 645.6140 .. 687.7193 cents 42.10526 cents -35.08772 cents 33: 694.7368 .. 694.7368 cents 1/1, 0.0000 cents 7.01754 cents 34: 701.7544 .. 743.8596 cents 42.10526 cents 7.01754 cents 35: 708.7719 .. 750.8772 cents 42.10526 cents -35.08772 cents 36: 757.8947 .. 757.8947 cents 1/1, 0.0000 cents 7.01754 cents 37: 764.9123 .. 807.0175 cents 42.10526 cents 7.01754 cents 38: 771.9298 .. 814.0351 cents 42.10526 cents -35.08772 cents 39: 821.0526 .. 821.0526 cents 1/1, 0.0000 cents 7.01754 cents 40: 828.0702 .. 870.1754 cents 42.10526 cents 7.01754 cents 41: 835.0877 .. 877.1930 cents 42.10526 cents -35.08772 cents 42: 884.2105 .. 884.2105 cents 1/1, 0.0000 cents 7.01754 cents 43: 891.2281 .. 933.3333 cents 42.10526 cents 7.01754 cents 44: 898.2456 .. 940.3509 cents 42.10526 cents -35.08772 cents 45: 947.3684 .. 947.3684 cents 1/1, 0.0000 cents 7.01754 cents 46: 954.3860 .. 996.4912 cents 42.10526 cents 7.01754 cents 47: 961.4035 .. 1003.5088 cents 42.10526 cents -35.08772 cents 48: 1010.5263 .. 1010.5263 cents 1/1, 0.0000 cents 7.01754 cents 49: 1017.5439 .. 1059.6491 cents 42.10526 cents 7.01754 cents 50: 1024.5614 .. 1066.6667 cents 42.10526 cents -35.08772 cents 51: 1073.6842 .. 1073.6842 cents 1/1, 0.0000 cents 7.01754 cents 52: 1080.7018 .. 1122.8070 cents 42.10526 cents 7.01754 cents 53: 1087.7193 .. 1129.8246 cents 42.10526 cents -35.08772 cents 54: 1136.8421 .. 1136.8421 cents 1/1, 0.0000 cents 7.01754 cents 55: 1143.8596 .. 1185.9649 cents 42.10526 cents 7.01754 cents 56: 1150.8772 .. 1192.9825 cents 42.10526 cents -35.08772 cents
SHOW DATA
Number of notes : 57 -- Interval properties -- Smallest interval : 7.01754 cents, class 1 Average step (divided formal octave): 21.0526 cents Largest one step interval : 49.12281 cents Average / Smallest step : 3.000000 Largest / Average step : 2.333333 Largest / Smallest step : 7.000001 Median interval of one step : 7.01754 cents, amount: 38 Most common interval of one step : 7.01754 cents, amount: 38 Least squares average step : 20.69071 cents, oct.: 1179.37031 cents Scale is not proper Scale has 19 repeating blocks of 3 notes Blocks have Myhill's property chromas: 42.10526 cents and 35.08772 cents, ratio: 1.200000 generators: 1 of 7.01754 cents and 56.14035 cents ET pair of linear temperament : 330434738&330434909 Scale is distributional even Scale is a mode of a 171-tone equal temperament with octave 1200.000 cents degrees: 1 2 9 10 11 18 19 20 27 28 29 36 37 38 45 46 47 54 55 56 63 64 65 72 73 74 81 82 83 90 91 92 99 100 101 108 109 110 117 118 119 126 127 128 135 136 137 144 145 146 153 154 155 162 163 164 171 Least number of segments generator : 89 of 624.561 cents and inv. number of contiguous generator circle segments: 7 Shortest superset generator : 89 of 624.561 cents and inv. generated superset size: 165 = 108 more = 289.474% Number of contiguous 1-step segments: 19 Scale is fully connected major-minor triadic in 171-tone equal temperament Step pattern alph. order: AABAABAABAABAABAABAABAABAABAABAABAABAABAABAABAABAABAABAAB Step pattern size order : SSLSSLSSLSSLSSLSSLSSLSSLSSLSSLSSLSSLSSLSSLSSLSSLSSLSSLSSL Interval vector is [ 38 19 0 0 0 0 19 38 57 38 19 0 0 0 0 19 38 57 38 19 0 0 0 0 19 38 57 38 19 0 0 0 0 19 38 57 38 19 0 0 0 0 19 38 57 38 19 0 0 0 0 19 38 57 38 19 0 0 0 0 19 38 57 38 19 0 0 0 0 19 38 57 38 19 0 0 0 0 19 38 57 38 19 0 0 ] Scale is a Constant Structure, by a margin of 7.01754 cents Scale diversity : 0.982325 Lumma stability : 0.222222 Lumma impropriety factor : 0.555556 Number of different interval sizes : 94 = 1.67857 / class Number of one step interval sizes : 2 Highest interval variety : 2 Mean interval variety : 1.67857 = 47/28 Median interval variety : 2 Lowest interval variety : 1 Smallest interval difference : 7.01754 cents Most common triad is 0.0 63.158 126.316 cents, amount: 57 Number of recognisable fifths : 152, average 696.4912 cents Number of appreciable fifths : 114, average 699.4152 cents Scale contains two identical disjunct "tetrachords" of 25 notes Formal octave complements present : 19 = 33.3333% Limited transpositions : 3 6 9 12 15 18 21 24 27 30 33 36 39 42 45 48 51 54 Limited inverse transpositions : 2 5 8 11 14 17 20 23 26 29 32 35 38 41 44 47 50 53 56 Inversional symmetry on degrees : 1 4 7 10 13 16 19 22 25 28 31 34 37 40 43 46 49 52 55 Inversional symmetry on intervals : 2-3 5-6 8-9 11-12 14-15 17-18 20-21 23-24 26-27 29-30 32-33 35-36 38-39 41-42 44-45 47-48 50-51 53-54 56-57 -- Rational properties --
FIT/MODE
57: 0 1 2 0 1 2 0 1 2 0 1 2 0 1 2 0 1 2 0 1 2 0 1 2 0 1 2 0 1 2 0 1 2 0 1 2 0 1 2 0 1 2 0 1 2 0 1 2 0 1 2 0 1 2 0 1 2 N B D3 SD: 5.7298 c. M:-7.0175 c. 61: 0 1 2 1 0 2 1 0 3 0 0 3 0 1 2 0 1 2 1 0 2 1 0 3 0 0 3 0 1 2 0 1 2 1 0 3 0 0 3 0 0 3 0 1 2 1 0 2 1 0 3 0 0 3 0 1 2 N S SD: 5.6788 c. M:-9.7785 c. 62: 0 1 2 1 0 3 0 0 3 0 1 2 0 1 2 1 0 3 0 0 3 0 1 2 0 1 2 1 0 3 0 0 3 0 1 2 1 0 2 1 0 3 0 0 3 0 1 2 1 0 2 1 0 3 0 0 3 N S SD: 5.5814 c. M:-9.3945 c. 63: 0 1 2 1 0 3 0 0 3 0 1 2 1 0 3 0 0 3 0 1 2 1 0 3 0 0 3 0 1 2 1 0 2 1 0 3 0 1 2 0 1 2 1 0 3 0 0 3 0 1 2 1 0 3 0 0 3 N S SD: 5.4910 c. M:-9.0226 c. 65: 0 1 2 1 0 3 0 1 2 1 0 3 0 0 3 0 1 3 0 0 3 0 1 2 1 0 3 0 1 2 1 0 3 0 0 3 0 1 2 1 0 3 0 1 2 1 0 3 0 0 3 1 0 3 0 0 3 N S SD: 5.3293 c. M: 9.1768 c. 66: 0 1 2 1 0 3 0 1 2 1 0 3 0 1 2 1 0 3 0 1 2 1 0 3 0 1 2 1 0 3 0 1 2 1 0 3 0 0 3 1 0 3 0 0 3 0 1 3 0 0 3 0 1 3 0 0 3 N SD: 5.2478 c. M: 8.9314 c. 69: 0 1 3 0 0 3 1 0 3 0 1 3 0 0 3 1 0 3 0 1 2 1 0 3 0 1 3 0 0 3 1 0 3 0 1 3 0 0 3 1 0 3 0 1 2 1 0 3 1 0 3 0 1 2 1 0 3 N SD: 5.0197 c. M:-8.5431 c. 70: 0 1 3 0 1 2 1 0 3 0 1 3 0 1 2 1 0 3 1 0 3 0 1 2 1 0 3 1 0 3 0 1 3 0 0 3 1 0 3 0 1 3 0 0 3 1 0 3 0 1 3 0 0 3 1 0 3 N S SD: 4.9486 c. M:-8.5213 c. 71: 0 1 3 0 1 2 1 0 3 1 0 3 0 1 3 0 1 2 1 0 3 1 0 3 0 1 3 0 0 3 1 0 3 1 0 3 0 1 3 0 0 3 1 0 3 0 1 3 0 1 3 0 0 3 1 0 3 N S SD: 4.8739 c. M:-8.2036 c. 72: 0 1 3 0 1 3 0 0 3 1 0 3 1 0 3 0 1 3 0 1 3 0 0 3 1 0 3 1 0 3 0 1 3 0 1 2 1 0 3 1 0 3 0 1 3 0 1 3 0 0 3 1 0 3 1 0 3 N S SD: 4.8046 c. M:-7.8947 c. 74: 0 1 3 0 1 3 0 1 3 0 1 3 0 0 3 1 0 3 1 0 3 1 0 3 1 0 3 0 1 3 0 1 3 0 1 3 0 1 3 0 0 4 0 0 3 1 0 3 1 0 3 1 0 3 1 0 3 N S SD: 4.6811 c. M: 8.0607 c. 75: 0 1 3 0 1 3 0 1 3 0 1 3 0 1 3 0 1 3 0 1 3 0 1 3 0 0 4 0 0 3 1 0 3 1 0 3 1 0 3 1 0 3 1 0 3 1 0 3 1 0 3 1 0 3 0 1 3 N SD: 4.6181 c. M:-7.8596 c. 76: 0 1 3 0 1 3 0 1 3 0 1 3 0 1 3 0 1 3 0 1 3 0 1 3 0 1 3 0 1 3 0 1 3 0 1 3 0 1 3 0 1 3 0 1 3 0 1 3 0 1 3 0 1 3 0 1 3 N B D3 SD: 4.1763 c. M: 7.0175 c. 83: 0 1 3 1 0 4 0 1 3 1 0 3 1 0 4 0 1 3 1 0 4 0 1 3 0 1 3 1 0 4 0 1 3 1 0 3 1 0 4 0 1 3 1 0 4 0 0 4 0 1 3 1 0 4 0 1 3 N S SD: 4.1735 c. M: 7.1866 c. 84: 0 1 3 1 0 4 0 1 3 1 0 4 0 1 3 1 0 4 0 1 3 0 1 3 1 0 4 0 1 3 1 0 4 0 1 3 1 0 3 1 0 4 0 1 3 1 0 4 0 1 3 1 0 4 0 1 3 N SD: 4.1233 c. M: 7.0175 c. 87: 1 0 4 0 1 3 1 0 4 0 1 3 1 0 4 0 1 3 1 0 4 1 0 4 0 1 3 1 0 4 0 1 3 1 0 4 0 1 4 0 1 3 1 0 4 0 1 3 1 0 4 0 1 3 1 0 4 N SD: 3.9811 c. M: 6.7756 c. 88: 1 0 4 0 1 3 1 0 4 0 1 4 0 1 3 1 0 4 0 1 3 1 0 4 1 0 4 0 1 3 1 0 4 0 1 4 0 1 3 1 0 4 0 1 3 1 1 3 1 0 4 0 1 3 1 0 4 N S SD: 3.9364 c. M:-6.7783 c. 89: 1 0 4 0 1 3 1 0 4 1 0 4 0 1 3 1 0 4 1 0 4 0 1 3 1 1 3 1 0 4 0 1 4 0 1 3 1 0 4 0 1 4 0 1 3 1 0 4 0 1 4 0 1 3 1 0 4 N S SD: 3.8882 c. M:-6.5445 c. 90: 1 0 4 0 1 3 1 1 3 1 0 4 0 1 4 0 1 3 1 0 4 1 0 4 0 1 4 0 1 3 1 0 4 1 0 4 0 1 4 0 1 3 1 0 4 1 0 4 0 1 4 0 1 3 1 0 4 N S SD: 3.8437 c. M: 6.3158 c. 92: 1 0 4 0 1 4 0 1 4 0 1 3 1 0 4 1 0 4 1 0 4 0 1 4 0 1 4 0 1 3 1 0 4 1 0 4 1 0 4 0 1 4 0 1 4 0 1 3 1 1 3 1 0 4 1 0 4 N S SD: 3.7653 c. M: 6.4836 c. 93: 1 0 4 0 1 4 0 1 4 0 1 4 0 1 3 1 1 3 1 0 4 1 0 4 1 0 4 1 0 4 0 1 4 0 1 4 0 1 4 0 1 4 0 1 3 1 1 3 1 0 4 1 0 4 1 0 4 N SD: 3.7243 c. M:-6.3384 c. 95: 1 0 4 1 0 4 1 0 4 1 0 4 1 0 4 1 0 4 1 0 4 1 0 4 1 0 4 1 0 4 1 0 4 1 0 4 1 0 4 1 0 4 1 0 4 1 0 4 1 0 4 1 0 4 1 0 4 N B D3 SD: 3.3410 c. M:-5.6140 c. 105: 1 0 5 0 1 4 1 0 5 0 1 4 1 0 5 0 1 4 1 0 5 0 1 4 1 0 5 0 1 4 1 0 5 0 1 4 1 1 4 0 1 4 1 1 4 1 0 4 1 1 4 1 0 4 1 1 4 N SD: 3.2986 c. M:-5.6140 c. 106: 1 0 5 0 1 4 1 0 5 0 1 4 1 1 4 1 0 4 1 1 4 1 0 5 0 1 4 1 0 5 0 1 4 1 1 4 1 0 5 0 1 4 1 0 5 0 1 4 1 1 4 0 1 4 1 1 4 N S SD: 3.2680 c. M:-5.6273 c. 107: 1 0 5 0 1 4 1 1 4 1 0 5 0 1 4 1 0 5 0 1 4 1 1 4 1 0 5 0 1 4 1 1 4 1 0 5 0 1 4 1 0 5 0 1 4 1 1 4 1 0 5 0 1 4 1 1 4 N S SD: 3.2341 c. M:-5.4435 c. 108: 1 0 5 0 1 4 1 1 4 1 0 5 0 1 4 1 1 4 1 0 5 0 1 4 1 1 4 1 0 5 0 1 5 0 1 4 1 0 5 1 0 5 0 1 4 1 1 4 1 0 5 0 1 4 1 1 4 N S SD: 3.2031 c. M: 5.2632 c. 110: 1 0 5 0 1 5 0 1 4 1 1 4 1 0 5 1 0 5 0 1 5 0 1 4 1 1 4 1 0 5 1 0 5 0 1 4 1 1 4 1 1 4 1 0 5 0 1 5 0 1 4 1 1 4 1 0 5 N S SD: 3.1491 c. M: 5.4226 c. 111: 1 0 5 0 1 5 0 1 5 0 1 4 1 1 4 1 1 4 1 0 5 1 0 5 0 1 5 0 1 4 1 1 4 1 1 4 1 0 5 1 0 5 0 1 5 0 1 4 1 1 4 1 1 4 1 0 5 N SD: 3.1203 c. M: 5.3106 c. 114: 1 0 5 1 0 5 1 0 5 1 0 5 1 0 5 1 0 5 1 0 5 1 0 5 1 0 5 1 0 5 1 0 5 1 0 5 1 0 5 1 0 5 1 0 5 1 0 5 1 0 5 1 0 5 1 0 5 N B D3 SD: 2.8649 c. M:-3.5088 c. 123: 1 0 5 1 1 5 1 0 5 1 1 5 1 0 5 1 1 5 1 0 5 1 1 5 1 0 5 1 1 5 0 1 5 1 1 5 0 1 5 1 1 5 0 1 5 1 1 5 0 1 5 1 0 6 0 1 5 N SD: 2.8159 c. M:-4.7925 c. 124: 1 0 6 0 1 5 1 1 5 0 1 5 1 1 5 0 1 5 1 1 5 0 1 5 1 1 5 0 1 5 1 1 5 1 0 5 1 1 5 1 0 5 1 1 5 1 0 5 1 1 5 1 0 5 1 1 5 N S SD: 2.7936 c. M:-4.8104 c. 125: 1 0 6 0 1 5 1 1 5 0 1 5 1 1 5 1 0 5 1 1 5 1 1 5 0 1 5 1 1 5 1 0 5 1 1 5 1 0 6 0 1 5 1 1 5 0 1 5 1 1 5 1 0 5 1 1 5 N S SD: 2.7684 c. M:-4.6596 c. 126: 1 0 6 0 1 5 1 1 5 1 0 6 0 1 5 1 1 5 1 0 5 1 1 5 1 1 5 0 1 5 1 1 5 1 0 6 0 1 5 1 1 5 1 0 5 1 1 5 1 1 5 0 1 5 1 1 5 N S SD: 2.7455 c. M: 4.5113 c. 128: 1 0 6 0 1 5 1 1 5 1 1 5 1 0 6 0 1 5 1 1 5 1 1 5 1 0 6 0 1 5 1 1 5 1 1 5 1 0 6 0 1 5 1 1 5 1 1 5 1 0 6 0 1 5 1 1 5 N S SD: 2.7063 c. M: 4.6601 c. 129: 1 1 5 1 0 6 0 1 5 1 1 5 1 1 5 1 0 6 0 1 6 0 1 5 1 1 5 1 1 5 1 0 6 0 1 5 1 1 5 1 1 5 1 1 5 1 0 6 0 1 5 1 1 5 1 1 5 N SD: 2.6849 c. M: 4.5696 c. 132: 1 1 5 1 0 6 1 0 6 1 0 6 1 0 6 1 0 6 0 1 6 0 1 6 0 1 6 0 1 5 1 1 5 1 1 5 1 1 5 1 1 5 1 1 5 1 1 5 1 1 5 1 1 5 1 1 5 N SD: 2.6239 c. M:-4.4657 c. 133: 1 1 5 1 1 5 1 1 5 1 1 5 1 1 5 1 1 5 1 1 5 1 1 5 1 1 5 1 1 5 1 1 5 1 1 5 1 1 5 1 1 5 1 1 5 1 1 5 1 1 5 1 1 5 1 1 5 N B DE S SD: 2.5885 c. M:-4.0100 c. 134: 1 1 5 1 1 5 1 1 5 1 1 5 1 1 5 1 1 5 1 1 5 1 1 5 1 1 5 1 1 6 0 1 6 0 1 6 0 1 6 0 1 6 1 0 6 1 0 6 1 0 6 1 0 6 1 1 5 N S SD: 2.5825 c. M:-4.3467 c. 135: 1 1 5 1 1 5 1 1 5 1 1 5 1 1 6 0 1 6 0 1 6 1 0 6 1 0 6 1 1 5 1 1 5 1 1 5 1 1 5 1 1 5 1 1 6 0 1 6 0 1 6 1 0 6 1 0 6 N S SD: 2.5624 c. M:-4.2105 c. 137: 1 1 5 1 1 5 1 1 6 0 1 6 1 0 6 1 1 5 1 1 5 1 1 6 0 1 6 1 0 6 1 1 5 1 1 6 0 1 6 1 0 6 1 1 5 1 1 5 1 1 6 0 1 6 1 0 6 N S SD: 2.5285 c. M: 4.3540 c. 138: 1 1 5 1 1 6 0 1 6 1 0 6 1 1 5 1 1 6 0 1 6 1 0 6 1 1 5 1 1 6 0 1 6 1 1 5 1 1 5 1 1 6 0 1 6 1 1 5 1 1 5 1 1 6 1 0 6 N SD: 2.5098 c. M:-4.2715 c. 141: 1 1 5 1 1 6 1 0 6 1 1 6 1 0 6 1 1 6 0 1 6 1 1 5 1 1 6 1 0 6 1 1 6 0 1 6 1 1 5 1 1 6 1 1 5 1 1 6 1 0 6 1 1 6 0 1 6 N SD: 2.4564 c. M:-4.1807 c. 142: 1 1 5 1 1 6 1 1 5 1 1 6 1 1 5 1 1 6 1 1 5 1 1 6 1 0 6 1 1 6 1 0 6 1 1 6 1 0 6 1 1 6 0 1 6 1 1 6 0 1 6 1 1 6 0 1 6 N S SD: 2.4395 c. M:-4.2006 c. 143: 1 1 6 0 1 6 1 1 6 0 1 6 1 1 6 0 1 6 1 1 6 1 0 6 1 1 6 1 0 6 1 1 6 1 0 6 1 1 6 1 1 5 1 1 6 1 1 5 1 1 6 1 1 5 1 1 6 N S SD: 2.4199 c. M:-4.0731 c. 144: 1 1 6 0 1 6 1 1 6 1 0 6 1 1 6 1 1 5 1 1 6 1 1 6 0 1 6 1 1 6 1 0 6 1 1 6 1 1 6 0 1 6 1 1 6 1 0 6 1 1 6 1 1 5 1 1 6 N S SD: 2.4023 c. M:-3.9474 c. 146: 1 1 6 1 0 6 1 1 6 1 1 6 1 0 6 1 1 6 1 1 6 1 0 6 1 1 6 1 1 6 1 1 6 0 1 6 1 1 6 1 1 6 0 1 6 1 1 6 1 1 6 0 1 6 1 1 6 N S SD: 2.3726 c. M: 4.0856 c. 147: 1 1 6 1 0 6 1 1 6 1 1 6 1 1 6 1 0 6 1 1 6 1 1 6 1 1 6 0 1 6 1 1 6 1 1 6 1 1 6 0 1 6 1 1 6 1 1 6 1 1 6 0 1 6 1 1 6 N SD: 2.3562 c. M: 4.0100 c. 150: 1 1 6 1 1 6 1 1 6 1 0 7 0 1 6 1 1 6 1 1 6 1 1 6 1 1 6 1 1 6 1 1 6 1 1 6 1 0 7 1 0 7 0 1 6 1 1 6 1 1 6 1 1 6 1 1 6 N SD: 2.3090 c. M:-3.9298 c. 151: 1 1 6 1 1 6 1 1 6 1 1 6 1 1 6 1 1 6 1 0 7 1 0 7 0 1 7 0 1 6 1 1 6 1 1 6 1 1 6 1 1 6 1 1 6 1 1 6 1 1 6 1 1 6 1 1 6 N S SD: 2.2941 c. M:-3.9503 c. 152: 1 1 6 1 1 6 1 1 6 1 1 6 1 1 6 1 1 6 1 1 6 1 1 6 1 1 6 1 1 6 1 1 6 1 1 6 1 1 6 1 1 6 1 1 6 1 1 6 1 1 6 1 1 6 1 1 6 N B DE S SD: 1.1325 c. M:-1.7544 c. 171: 1 1 7 1 1 7 1 1 7 1 1 7 1 1 7 1 1 7 1 1 7 1 1 7 1 1 7 1 1 7 1 1 7 1 1 7 1 1 7 1 1 7 1 1 7 1 1 7 1 1 7 1 1 7 1 1 7 N B DE S 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: 0.1003 cents 3 .. 6 match: 3 H SD: 2.4066 cents 4 .. 8 match: 4 H SD: 1.8583 cents 5 .. 10 match: 5 H SD: 1.4736 cents 6 .. 12 match: 6 H SD: 4.2286 cents 7 .. 14 match: 7 H SD: 4.5771 cents 8 .. 16 match: 8 H SD: 2.4297 cents 9 .. 18 match: 9 H SD: 3.1450 cents 10 .. 20 match: 10 H SD: 4.0300 cents 11 .. 22 match: 11 H SD: 4.3345 cents 12 .. 24 match: 12 H SD: 3.5288 cents 13 .. 26 match: 13 H SD: 3.1065 cents 14 .. 28 match: 14 H SD: 3.0643 cents 15 .. 30 match: 15 H SD: 2.4876 cents 16 .. 32 match: 16 H SD: 2.4032 cents 17 .. 34 match: 17 H SD: 3.8164 cents 18 .. 36 match: 18 H SD: 2.4980 cents 19 .. 38 match: 19 H SD: 3.4263 cents 20 .. 40 match: 19 SD: 2.1711 cents 21 .. 42 match: 21 H SD: 2.8069 cents 22 .. 44 match: 22 H SD: 3.0736 cents 23 .. 46 match: 23 H SD: 2.1219 cents 24 .. 48 match: 22 SD: 1.8596 cents 25 .. 50 match: 25 H SD: 2.2100 cents 26 .. 52 match: 25 SD: 2.1378 cents 27 .. 54 match: 25 SD: 2.1803 cents 28 .. 56 match: 25 SD: 2.1729 cents 29 .. 58 match: 25 SD: 2.1397 cents 30 .. 60 match: 24 S SD: 2.1203 cents 31 .. 62 match: 22 SD: 1.9174 cents 32 .. 64 match: 28 S SD: 1.9332 cents 33 .. 66 match: 25 SD: 1.6303 cents 34 .. 68 match: 24 SD: 1.8228 cents 35 .. 70 match: 29 SD: 1.6560 cents 36 .. 72 match: 25 SD: 1.6836 cents 37 .. 74 match: 29 SD: 1.6287 cents 38 .. 76 match: 26 SD: 1.4939 cents 39 .. 78 match: 29 SD: 1.4894 cents 40 .. 80 match: 25 SD: 1.2763 cents 41 .. 82 match: 26 SD: 1.2680 cents 42 .. 84 match: 32 SD: 1.3760 cents 43 .. 86 match: 26 SD: 1.0291 cents 44 .. 88 match: 27 SD: 1.1327 cents 45 .. 90 match: 28 SD: 1.4984 cents 46 .. 92 match: 30 SD: 1.5076 cents 47 .. 94 match: 29 SD: 1.3014 cents 48 .. 96 match: 28 SD: 1.0766 cents 49 .. 98 match: 27 SD: 1.1859 cents 50 .. 100 match: 29 SD: 1.1519 cents 51 .. 102 match: 32 SD: 1.1196 cents 52 .. 104 match: 28 SD: 1.1305 cents 53 .. 106 match: 32 SD: 1.0879 cents 54 .. 108 match: 31 SD: 1.1168 cents 55 .. 110 match: 34 SD: 1.0976 cents 56 .. 112 match: 32 SD: 1.0657 cents 57 .. 114 match: 33 SD: 0.9514 cents 58 .. 116 match: 30 SD: 0.9514 cents 59 .. 118 match: 36 SD: 0.9717 cents 60 .. 120 match: 32 SD: 0.9883 cents 61 .. 122 match: 31 SD: 0.9404 cents 62 .. 124 match: 34 SD: 0.7977 cents 63 .. 126 match: 33 SD: 0.8255 cents 64 .. 128 match: 32 SD: 0.8584 cents 65 .. 130 match: 34 SD: 0.8540 cents 66 .. 132 match: 35 SD: 0.7565 cents 67 .. 134 match: 35 SD: 0.8848 cents 68 .. 136 match: 30 SD: 0.7194 cents 69 .. 138 match: 35 SD: 0.7294 cents 70 .. 140 match: 36 SD: 0.7268 cents 71 .. 142 match: 35 SD: 0.5930 cents 72 .. 144 match: 34 SD: 0.7320 cents 73 .. 146 match: 35 SD: 0.7105 cents 74 .. 148 match: 31 SD: 0.6339 cents 75 .. 150 match: 35 SD: 0.6150 cents 76 .. 152 match: 32 SD: 0.6276 cents 77 .. 154 match: 39 SD: 0.6984 cents 78 .. 156 match: 37 SD: 0.6554 cents 79 .. 158 match: 39 SD: 0.6426 cents 80 .. 160 match: 37 SD: 0.5315 cents 81 .. 162 match: 37 SD: 0.6108 cents 82 .. 164 match: 39 SD: 0.5852 cents 83 .. 166 match: 38 SD: 0.5225 cents 84 .. 168 match: 36 SD: 0.5674 cents 85 .. 170 match: 39 SD: 0.5747 cents 86 .. 172 match: 37 SD: 0.4817 cents 87 .. 174 match: 37 SD: 0.5099 cents 88 .. 176 match: 37 SD: 0.5504 cents 89 .. 178 match: 40 SD: 0.5153 cents 90 .. 180 match: 41 SD: 0.5121 cents 91 .. 182 match: 40 SD: 0.4959 cents 92 .. 184 match: 39 SD: 0.5529 cents 93 .. 186 match: 39 SD: 0.5120 cents 94 .. 188 match: 41 SD: 0.5071 cents 95 .. 190 match: 41 SD: 0.3838 cents 96 .. 192 match: 41 SD: 0.4522 cents 97 .. 194 match: 40 SD: 0.4547 cents 98 .. 196 match: 43 SD: 0.4939 cents 99 .. 198 match: 42 SD: 0.5275 cents 100 .. 200 match: 38 SD: 0.4367 cents 101 .. 202 match: 43 SD: 0.4992 cents 102 .. 204 match: 40 SD: 0.4557 cents 103 .. 206 match: 39 SD: 0.4139 cents 104 .. 208 match: 44 SD: 0.4380 cents 105 .. 210 match: 42 SD: 0.3783 cents 106 .. 212 match: 45 SD: 0.3590 cents 107 .. 214 match: 41 SD: 0.3810 cents 108 .. 216 match: 43 SD: 0.4333 cents 109 .. 218 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