Scala analysis: secor_34wt
George Secor's 34-tone well temperament (with 10 exact 11/7)
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 40.479 cents 40.479250 2: 66.741 cents 66.741200 3: 107.220 cents 107.220450 4: 144.856 cents 144.856240 5: 171.118 cents 171.118190 6: 214.441 cents 214.440900 7: 249.233 cents 249.233240 8: 278.339 cents 278.338640 9: 321.661 cents 321.661360 10: 353.610 cents 353.610230 11: 385.559 cents 385.559100 12: 428.882 cents 428.881810 13: 457.987 cents 457.987220 14: 492.780 cents 492.779550 15: 536.102 cents 536.102260 16: 562.364 cents 562.364210 17: 600.000 cents 600.000000 18: 640.479 cents 640.479250 19: 666.741 cents 666.741200 20: 707.220 cents 707.220450 21: 744.856 cents 744.856240 22: 771.118 cents 771.118190 23: 814.441 cents 814.440900 24: 849.233 cents 849.233240 25: 878.339 cents 878.338640 26: 921.661 cents 921.661360 27: 953.610 cents 953.610230 28: 985.559 cents 985.559100 29: 1028.882 cents 1028.881810 30: 1057.987 cents 1057.987220 31: 1092.780 cents 1092.779550 32: 1136.102 cents 1136.102260 33: 1162.364 cents 1162.364210 34: 2/1 1200.000000 octave
SHOW/INTERVAL
0: 37.6358 cents 37.6358 1: 40.4792 cents 40.4792 2: 26.2619 cents 26.2619 3: 40.4793 cents 40.4793 4: 37.6358 cents 37.6358 5: 26.2620 cents 26.2620 6: 43.3227 cents 43.3227 7: 34.7923 cents 34.7923 8: 29.1054 cents 29.1054 9: 43.3227 cents 43.3227 10: 31.9489 cents 31.9489 11: 31.9489 cents 31.9489 12: 43.3227 cents 43.3227 13: 29.1054 cents 29.1054 14: 34.7923 cents 34.7923 15: 43.3227 cents 43.3227 16: 26.2619 cents 26.2619 17: 37.6358 cents 37.6358 18: 40.4793 cents 40.4793 19: 26.2619 cents 26.2619 20: 40.4793 cents 40.4793 21: 37.6358 cents 37.6358 22: 26.2619 cents 26.2619 23: 43.3227 cents 43.3227 24: 34.7923 cents 34.7923 25: 29.1054 cents 29.1054 26: 43.3227 cents 43.3227 27: 31.9489 cents 31.9489 28: 31.9489 cents 31.9489 29: 43.3227 cents 43.3227 30: 29.1054 cents 29.1054 31: 34.7923 cents 34.7923 32: 43.3227 cents 43.3227 33: 26.2619 cents 26.2619 34: 37.6358 cents 37.6358
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 6 26.26195 cents 1: 4 29.10540 cents 1: 4 31.94887 cents 1: 4 34.79234 cents 1: 4 37.63579 cents 1: 4 40.47925 cents 1: 8 43.32271 cents 2: 10 63.89774 cents 2: 4 66.74120 cents 2: 4 69.58466 cents 2: 4 72.42812 cents 2: 4 75.27159 cents 2: 8 78.11504 cents 3: 16 104.37699 cents 3: 18 107.22045 cents 4: 4 130.63894 cents 4: 4 133.48240 cents 4: 4 136.32586 cents 4: 4 139.16933 cents 4: 4 142.01279 cents 4: 4 144.85624 cents 4: 4 147.69970 cents 4: 6 150.54317 cents 5: 12 171.11819 cents 5: 4 173.96165 cents 5: 4 176.80512 cents 5: 4 179.64857 cents 5: 10 182.49204 cents 6: 14 208.75399 cents 6: 4 211.59744 cents 6: 16 214.44090 cents 7: 2 235.01593 cents 7: 4 237.85939 cents 7: 4 240.70286 cents 7: 4 243.54632 cents 7: 4 246.38978 cents 7: 4 249.23324 cents 7: 4 252.07669 cents 7: 4 254.92016 cents 7: 4 257.76362 cents 8: 14 278.33864 cents 8: 4 281.18211 cents 8: 4 284.02557 cents 8: 12 286.86903 cents 9: 12 313.13098 cents 9: 4 315.97443 cents 9: 4 318.81790 cents 9: 14 321.66136 cents 10: 4 342.23638 cents 10: 4 345.07985 cents 10: 4 347.92331 cents 10: 4 350.76677 cents 10: 4 353.61023 cents 10: 4 356.45368 cents 10: 4 359.29714 cents 10: 4 362.14061 cents 10: 2 364.98407 cents 11: 16 385.55910 cents 11: 4 388.40256 cents 11: 14 391.24602 cents 12: 10 417.50797 cents 12: 4 420.35143 cents 12: 4 423.19488 cents 12: 4 426.03835 cents 12: 12 428.88181 cents 13: 6 449.45683 cents 13: 4 452.30030 cents 13: 4 455.14376 cents 13: 4 457.98722 cents 13: 4 460.83067 cents 13: 4 463.67414 cents 13: 4 466.51760 cents 13: 4 469.36106 cents 14: 18 492.77955 cents 14: 16 495.62301 cents 15: 8 521.88496 cents 15: 4 524.72841 cents 15: 4 527.57188 cents 15: 4 530.41534 cents 15: 4 533.25880 cents 15: 10 536.10226 cents 16: 8 556.67729 cents 16: 4 559.52075 cents 16: 4 562.36421 cents 16: 4 565.20766 cents 16: 4 568.05113 cents 16: 4 570.89460 cents 16: 6 573.73805 cents 17: 34 600.00000 cents 18: 6 626.26195 cents 18: 4 629.10540 cents 18: 4 631.94887 cents 18: 4 634.79234 cents 18: 4 637.63579 cents 18: 4 640.47925 cents 18: 8 643.32271 cents 19: 10 663.89774 cents 19: 4 666.74120 cents 19: 4 669.58466 cents 19: 4 672.42812 cents 19: 4 675.27159 cents 19: 8 678.11504 cents 20: 16 704.37699 cents 20: 18 707.22045 cents 21: 4 730.63894 cents 21: 4 733.48240 cents 21: 4 736.32586 cents 21: 4 739.16933 cents 21: 4 742.01279 cents 21: 4 744.85624 cents 21: 4 747.69970 cents 21: 6 750.54317 cents 22: 12 771.11819 cents 22: 4 773.96165 cents 22: 4 776.80512 cents 22: 4 779.64857 cents 22: 10 782.49204 cents 23: 14 808.75399 cents 23: 4 811.59744 cents 23: 16 814.44090 cents 24: 2 835.01593 cents 24: 4 837.85939 cents 24: 4 840.70286 cents 24: 4 843.54632 cents 24: 4 846.38978 cents 24: 4 849.23324 cents 24: 4 852.07669 cents 24: 4 854.92016 cents 24: 4 857.76362 cents 25: 14 878.33864 cents 25: 4 881.18211 cents 25: 4 884.02557 cents 25: 12 886.86903 cents 26: 12 913.13098 cents 26: 4 915.97443 cents 26: 4 918.81790 cents 26: 14 921.66136 cents 27: 4 942.23638 cents 27: 4 945.07985 cents 27: 4 947.92331 cents 27: 4 950.76677 cents 27: 4 953.61023 cents 27: 4 956.45368 cents 27: 4 959.29714 cents 27: 4 962.14061 cents 27: 2 964.98407 cents 28: 16 985.55910 cents 28: 4 988.40256 cents 28: 14 991.24602 cents 29: 10 1017.50797 cents 29: 4 1020.35143 cents 29: 4 1023.19488 cents 29: 4 1026.03835 cents 29: 12 1028.88181 cents 30: 6 1049.45683 cents 30: 4 1052.30030 cents 30: 4 1055.14376 cents 30: 4 1057.98722 cents 30: 4 1060.83067 cents 30: 4 1063.67414 cents 30: 4 1066.51760 cents 30: 4 1069.36106 cents 31: 18 1092.77955 cents 31: 16 1095.62301 cents 32: 8 1121.88496 cents 32: 4 1124.72841 cents 32: 4 1127.57188 cents 32: 4 1130.41534 cents 32: 4 1133.25880 cents 32: 10 1136.10226 cents 33: 8 1156.67729 cents 33: 4 1159.52075 cents 33: 4 1162.36421 cents 33: 4 1165.20766 cents 33: 4 1168.05113 cents 33: 4 1170.89460 cents 33: 6 1173.73805 cents Highest number of different intervals for one interval class: 9 Average number of different intervals per interval class: 5.36364 = 59/11
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 0.0 : 40.5 66.7 107.2 144.9 171.1 214.4 249.2 278.3 321.7 353.6 385.6 428.9 458.0 492.8 536.1 562.4 600.0 640.5 666.7 707.2 744.9 771.1 814.4 849.2 878.3 921.7 953.6 985.6 1028.9 1058.0 1092.8 1136.1 1162.4 1200.0 40.5 : 26.3 66.7 104.4 130.6 174.0 208.8 237.9 281.2 313.1 345.1 388.4 417.5 452.3 495.6 521.9 559.5 600.0 626.3 666.7 704.4 730.6 774.0 808.8 837.9 881.2 913.1 945.1 988.4 1017.5 1052.3 1095.6 1121.9 1159.5 1200.0 66.7 : 40.5 78.1 104.4 147.7 182.5 211.6 254.9 286.9 318.8 362.1 391.2 426.0 469.4 495.6 533.3 573.7 600.0 640.5 678.1 704.4 747.7 782.5 811.6 854.9 886.9 918.8 962.1 991.2 1026.0 1069.4 1095.6 1133.3 1173.7 1200.0 107.2 : 37.6 63.9 107.2 142.0 171.1 214.4 246.4 278.3 321.7 350.8 385.6 428.9 455.1 492.8 533.3 559.5 600.0 637.6 663.9 707.2 742.0 771.1 814.4 846.4 878.3 921.7 950.8 985.6 1028.9 1055.1 1092.8 1133.3 1159.5 1200.0 144.9 : 26.3 69.6 104.4 133.5 176.8 208.8 240.7 284.0 313.1 347.9 391.2 417.5 455.1 495.6 521.9 562.4 600.0 626.3 669.6 704.4 733.5 776.8 808.8 840.7 884.0 913.1 947.9 991.2 1017.5 1055.1 1095.6 1121.9 1162.4 1200.0 171.1 : 43.3 78.1 107.2 150.5 182.5 214.4 257.8 286.9 321.7 365.0 391.2 428.9 469.4 495.6 536.1 573.7 600.0 643.3 678.1 707.2 750.5 782.5 814.4 857.8 886.9 921.7 965.0 991.2 1028.9 1069.4 1095.6 1136.1 1173.7 1200.0 214.4 : 34.8 63.9 107.2 139.2 171.1 214.4 243.5 278.3 321.7 347.9 385.6 426.0 452.3 492.8 530.4 556.7 600.0 634.8 663.9 707.2 739.2 771.1 814.4 843.5 878.3 921.7 947.9 985.6 1026.0 1052.3 1092.8 1130.4 1156.7 1200.0 249.2 : 29.1 72.4 104.4 136.3 179.6 208.8 243.5 286.9 313.1 350.8 391.2 417.5 458.0 495.6 521.9 565.2 600.0 629.1 672.4 704.4 736.3 779.6 808.8 843.5 886.9 913.1 950.8 991.2 1017.5 1058.0 1095.6 1121.9 1165.2 1200.0 278.3 : 43.3 75.3 107.2 150.5 179.6 214.4 257.8 284.0 321.7 362.1 388.4 428.9 466.5 492.8 536.1 570.9 600.0 643.3 675.3 707.2 750.5 779.6 814.4 857.8 884.0 921.7 962.1 988.4 1028.9 1066.5 1092.8 1136.1 1170.9 1200.0 321.7 : 31.9 63.9 107.2 136.3 171.1 214.4 240.7 278.3 318.8 345.1 385.6 423.2 449.5 492.8 527.6 556.7 600.0 631.9 663.9 707.2 736.3 771.1 814.4 840.7 878.3 918.8 945.1 985.6 1023.2 1049.5 1092.8 1127.6 1156.7 1200.0 353.6 : 31.9 75.3 104.4 139.2 182.5 208.8 246.4 286.9 313.1 353.6 391.2 417.5 460.8 495.6 524.7 568.1 600.0 631.9 675.3 704.4 739.2 782.5 808.8 846.4 886.9 913.1 953.6 991.2 1017.5 1060.8 1095.6 1124.7 1168.1 1200.0 385.6 : 43.3 72.4 107.2 150.5 176.8 214.4 254.9 281.2 321.7 359.3 385.6 428.9 463.7 492.8 536.1 568.1 600.0 643.3 672.4 707.2 750.5 776.8 814.4 854.9 881.2 921.7 959.3 985.6 1028.9 1063.7 1092.8 1136.1 1168.1 1200.0 428.9 : 29.1 63.9 107.2 133.5 171.1 211.6 237.9 278.3 316.0 342.2 385.6 420.4 449.5 492.8 524.7 556.7 600.0 629.1 663.9 707.2 733.5 771.1 811.6 837.9 878.3 916.0 942.2 985.6 1020.4 1049.5 1092.8 1124.7 1156.7 1200.0 458.0 : 34.8 78.1 104.4 142.0 182.5 208.8 249.2 286.9 313.1 356.5 391.2 420.4 463.7 495.6 527.6 570.9 600.0 634.8 678.1 704.4 742.0 782.5 808.8 849.2 886.9 913.1 956.5 991.2 1020.4 1063.7 1095.6 1127.6 1170.9 1200.0 492.8 : 43.3 69.6 107.2 147.7 174.0 214.4 252.1 278.3 321.7 356.5 385.6 428.9 460.8 492.8 536.1 565.2 600.0 643.3 669.6 707.2 747.7 774.0 814.4 852.1 878.3 921.7 956.5 985.6 1028.9 1060.8 1092.8 1136.1 1165.2 1200.0 536.1 : 26.3 63.9 104.4 130.6 171.1 208.8 235.0 278.3 313.1 342.2 385.6 417.5 449.5 492.8 521.9 556.7 600.0 626.3 663.9 704.4 730.6 771.1 808.8 835.0 878.3 913.1 942.2 985.6 1017.5 1049.5 1092.8 1121.9 1156.7 1200.0 562.4 : 37.6 78.1 104.4 144.9 182.5 208.8 252.1 286.9 316.0 359.3 391.2 423.2 466.5 495.6 530.4 573.7 600.0 637.6 678.1 704.4 744.9 782.5 808.8 852.1 886.9 916.0 959.3 991.2 1023.2 1066.5 1095.6 1130.4 1173.7 1200.0 600.0 : 40.5 66.7 107.2 144.9 171.1 214.4 249.2 278.3 321.7 353.6 385.6 428.9 458.0 492.8 536.1 562.4 600.0 640.5 666.7 707.2 744.9 771.1 814.4 849.2 878.3 921.7 953.6 985.6 1028.9 1058.0 1092.8 1136.1 1162.4 1200.0 640.5 : 26.3 66.7 104.4 130.6 174.0 208.8 237.9 281.2 313.1 345.1 388.4 417.5 452.3 495.6 521.9 559.5 600.0 626.3 666.7 704.4 730.6 774.0 808.8 837.9 881.2 913.1 945.1 988.4 1017.5 1052.3 1095.6 1121.9 1159.5 1200.0 666.7 : 40.5 78.1 104.4 147.7 182.5 211.6 254.9 286.9 318.8 362.1 391.2 426.0 469.4 495.6 533.3 573.7 600.0 640.5 678.1 704.4 747.7 782.5 811.6 854.9 886.9 918.8 962.1 991.2 1026.0 1069.4 1095.6 1133.3 1173.7 1200.0 707.2 : 37.6 63.9 107.2 142.0 171.1 214.4 246.4 278.3 321.7 350.8 385.6 428.9 455.1 492.8 533.3 559.5 600.0 637.6 663.9 707.2 742.0 771.1 814.4 846.4 878.3 921.7 950.8 985.6 1028.9 1055.1 1092.8 1133.3 1159.5 1200.0 744.9 : 26.3 69.6 104.4 133.5 176.8 208.8 240.7 284.0 313.1 347.9 391.2 417.5 455.1 495.6 521.9 562.4 600.0 626.3 669.6 704.4 733.5 776.8 808.8 840.7 884.0 913.1 947.9 991.2 1017.5 1055.1 1095.6 1121.9 1162.4 1200.0 771.1 : 43.3 78.1 107.2 150.5 182.5 214.4 257.8 286.9 321.7 365.0 391.2 428.9 469.4 495.6 536.1 573.7 600.0 643.3 678.1 707.2 750.5 782.5 814.4 857.8 886.9 921.7 965.0 991.2 1028.9 1069.4 1095.6 1136.1 1173.7 1200.0 814.4 : 34.8 63.9 107.2 139.2 171.1 214.4 243.5 278.3 321.7 347.9 385.6 426.0 452.3 492.8 530.4 556.7 600.0 634.8 663.9 707.2 739.2 771.1 814.4 843.5 878.3 921.7 947.9 985.6 1026.0 1052.3 1092.8 1130.4 1156.7 1200.0 849.2 : 29.1 72.4 104.4 136.3 179.6 208.8 243.5 286.9 313.1 350.8 391.2 417.5 458.0 495.6 521.9 565.2 600.0 629.1 672.4 704.4 736.3 779.6 808.8 843.5 886.9 913.1 950.8 991.2 1017.5 1058.0 1095.6 1121.9 1165.2 1200.0 878.3 : 43.3 75.3 107.2 150.5 179.6 214.4 257.8 284.0 321.7 362.1 388.4 428.9 466.5 492.8 536.1 570.9 600.0 643.3 675.3 707.2 750.5 779.6 814.4 857.8 884.0 921.7 962.1 988.4 1028.9 1066.5 1092.8 1136.1 1170.9 1200.0 921.7 : 31.9 63.9 107.2 136.3 171.1 214.4 240.7 278.3 318.8 345.1 385.6 423.2 449.5 492.8 527.6 556.7 600.0 631.9 663.9 707.2 736.3 771.1 814.4 840.7 878.3 918.8 945.1 985.6 1023.2 1049.5 1092.8 1127.6 1156.7 1200.0 953.6 : 31.9 75.3 104.4 139.2 182.5 208.8 246.4 286.9 313.1 353.6 391.2 417.5 460.8 495.6 524.7 568.1 600.0 631.9 675.3 704.4 739.2 782.5 808.8 846.4 886.9 913.1 953.6 991.2 1017.5 1060.8 1095.6 1124.7 1168.1 1200.0 985.6 : 43.3 72.4 107.2 150.5 176.8 214.4 254.9 281.2 321.7 359.3 385.6 428.9 463.7 492.8 536.1 568.1 600.0 643.3 672.4 707.2 750.5 776.8 814.4 854.9 881.2 921.7 959.3 985.6 1028.9 1063.7 1092.8 1136.1 1168.1 1200.0 1028.9: 29.1 63.9 107.2 133.5 171.1 211.6 237.9 278.3 316.0 342.2 385.6 420.4 449.5 492.8 524.7 556.7 600.0 629.1 663.9 707.2 733.5 771.1 811.6 837.9 878.3 916.0 942.2 985.6 1020.4 1049.5 1092.8 1124.7 1156.7 1200.0 1058.0: 34.8 78.1 104.4 142.0 182.5 208.8 249.2 286.9 313.1 356.5 391.2 420.4 463.7 495.6 527.6 570.9 600.0 634.8 678.1 704.4 742.0 782.5 808.8 849.2 886.9 913.1 956.5 991.2 1020.4 1063.7 1095.6 1127.6 1170.9 1200.0 1092.8: 43.3 69.6 107.2 147.7 174.0 214.4 252.1 278.3 321.7 356.5 385.6 428.9 460.8 492.8 536.1 565.2 600.0 643.3 669.6 707.2 747.7 774.0 814.4 852.1 878.3 921.7 956.5 985.6 1028.9 1060.8 1092.8 1136.1 1165.2 1200.0 1136.1: 26.3 63.9 104.4 130.6 171.1 208.8 235.0 278.3 313.1 342.2 385.6 417.5 449.5 492.8 521.9 556.7 600.0 626.3 663.9 704.4 730.6 771.1 808.8 835.0 878.3 913.1 942.2 985.6 1017.5 1049.5 1092.8 1121.9 1156.7 1200.0 1162.4: 37.6 78.1 104.4 144.9 182.5 208.8 252.1 286.9 316.0 359.3 391.2 423.2 466.5 495.6 530.4 573.7 600.0 637.6 678.1 704.4 744.9 782.5 808.8 852.1 886.9 916.0 959.3 991.2 1023.2 1066.5 1095.6 1130.4 1173.7 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 26.2619 .. 43.3227 cents 17.06076 cents 26.26195 cents 2: 63.8977 .. 78.1150 cents 14.21730 cents 20.57503 cents 3: 104.3770 .. 107.2205 cents 2.84346 cents 26.26195 cents 4: 130.6389 .. 150.5432 cents 19.90423 cents 23.41849 cents 5: 171.1182 .. 182.4920 cents 11.37385 cents 20.57502 cents 6: 208.7540 .. 214.4409 cents 5.68691 cents 26.26195 cents 7: 235.0159 .. 257.7636 cents 22.74769 cents 20.57503 cents 8: 278.3386 .. 286.8690 cents 8.53039 cents 20.57502 cents 9: 313.1310 .. 321.6614 cents 8.53038 cents 26.26195 cents 10: 342.2364 .. 364.9841 cents 22.74769 cents 20.57502 cents 11: 385.5591 .. 391.2460 cents 5.68692 cents 20.57503 cents 12: 417.5080 .. 428.8818 cents 11.37384 cents 26.26195 cents 13: 449.4568 .. 469.3611 cents 19.90423 cents 20.57502 cents 14: 492.7796 .. 495.6230 cents 2.84346 cents 23.41849 cents 15: 521.8850 .. 536.1023 cents 14.21730 cents 26.26195 cents 16: 556.6773 .. 573.7381 cents 17.06076 cents 20.57503 cents 17: 600.0000 .. 600.0000 cents 1/1, 0.0000 cents 26.26195 cents 18: 626.2620 .. 643.3227 cents 17.06076 cents 26.26195 cents 19: 663.8977 .. 678.1150 cents 14.21730 cents 20.57503 cents 20: 704.3770 .. 707.2205 cents 2.84346 cents 26.26195 cents 21: 730.6389 .. 750.5432 cents 19.90423 cents 23.41849 cents 22: 771.1182 .. 782.4920 cents 11.37385 cents 20.57502 cents 23: 808.7540 .. 814.4409 cents 5.68691 cents 26.26195 cents 24: 835.0159 .. 857.7636 cents 22.74769 cents 20.57503 cents 25: 878.3386 .. 886.8690 cents 8.53039 cents 20.57502 cents 26: 913.1310 .. 921.6614 cents 8.53038 cents 26.26195 cents 27: 942.2364 .. 964.9841 cents 22.74769 cents 20.57502 cents 28: 985.5591 .. 991.2460 cents 5.68692 cents 20.57503 cents 29: 1017.5080 .. 1028.8818 cents 11.37384 cents 26.26195 cents 30: 1049.4568 .. 1069.3611 cents 19.90423 cents 20.57502 cents 31: 1092.7795 .. 1095.6230 cents 2.84346 cents 23.41849 cents 32: 1121.8850 .. 1136.1023 cents 14.21730 cents 26.26195 cents 33: 1156.6773 .. 1173.7381 cents 17.06076 cents 20.57503 cents
SHOW DATA
Number of notes : 34 -- Interval properties -- Smallest interval : 26.26195 cents, class 1 Average step (divided formal octave): 35.2941 cents Largest one step interval : 43.32271 cents Average / Smallest step : 1.343926 Largest / Average step : 1.227477 Largest / Smallest step : 1.649638 Median interval of one step : 34.79234 cents, amount: 4 Most common interval of one step : 43.32271 cents, amount: 8 Least squares average step : 35.32279 cents, oct.: 1200.97490 cents Scale is strictly proper Scale has 2 repeating blocks of 17 notes Step pattern alph. order: ABACBDEFDGGDFEDBCABACBDEFDGGDFEDBC Step pattern size order : FAFEAGDBGCCGBDGAEFAFEAGDBGCCGBDGAE Scale is a Constant Structure, by a margin of 20.57502 cents Scale diversity : 1.215808 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.658785 Number of different interval sizes : 177 = 5.36364 / class Number of one step interval sizes : 7 Highest interval variety : 9 Mean interval variety : 5.36364 = 59/11 Median interval variety : 5 Lowest interval variety : 1 Smallest interval difference : 2.84345 cents Most common intervals : 600.00000 cents & inv., amount: 34 Number of recognisable fifths : 34, average 705.8824 cents Scale contains two identical disjunct "tetrachords" of 15 notes Best major thirds form a closed circle Best minor thirds form a closed circle Formal octave complements present : 18 = 52.9412% Limited transpositions : 17 Limited inverse transpositions : 3 20 Inversional symmetry on degrees : 10 27 Inversional symmetry on intervals : 1-2 18-19 -- Rational properties -- Prime limit : 2 (not all pitches rational)
FIT/MODE
34: 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: 3.5874 c. M: 6.6905 c. 78: 3 1 3 2 2 3 2 2 3 2 2 3 2 2 3 2 2 3 1 3 2 2 3 2 2 3 2 2 3 2 2 3 2 2 SP B D3 S SD: 3.3289 c. M:-6.8666 c. 82: 3 2 2 3 2 3 2 2 3 2 2 3 2 3 3 1 3 3 2 2 3 2 3 2 2 3 2 2 3 2 3 3 1 3 P B D3 SD: 4.0989 c. M:-6.4295 c. 85: 3 2 3 2 2 3 3 2 3 2 2 3 2 3 3 2 2 3 2 3 3 2 3 2 2 3 3 2 3 2 2 3 2 3 SP D3 SD: 4.0142 c. M: 7.0588 c. 86: 3 2 3 2 2 3 3 2 3 2 3 3 2 2 3 2 3 3 2 3 2 2 3 3 2 3 2 3 3 2 2 3 2 3 SP B D3 I SD: 3.7892 c. M: 5.8697 c. 90: 3 2 3 3 2 3 3 2 3 3 2 3 2 3 3 2 3 3 2 3 3 2 3 3 2 3 3 2 3 2 3 3 2 3 SP B ME S SD: 2.5949 c. M:-6.3898 c. 96: 3 2 4 3 2 3 3 2 4 2 3 3 3 2 4 2 3 3 2 4 3 2 3 3 2 4 2 3 3 3 2 4 2 3 SP B D3 SD: 3.4725 c. M: 5.2796 c. 100: 3 3 3 3 2 4 3 2 4 2 3 4 2 3 4 2 3 3 3 3 3 2 4 3 2 4 2 3 4 2 3 4 2 3 SP B SD: 2.9292 c. M: 5.6102 c. 108: 4 2 4 3 2 4 3 3 4 3 3 4 2 3 4 3 3 4 2 4 3 2 4 3 3 4 3 3 4 2 3 4 3 3 SP B SD: 3.1382 c. M: 4.7888 c. 112: 4 2 4 3 3 4 3 3 4 3 3 4 3 3 4 2 4 4 2 4 3 3 4 3 3 4 3 3 4 3 3 4 2 4 SP B D3 I SD: 2.2465 c. M: 5.5705 c. 124: 4 3 4 4 3 4 4 3 4 4 3 4 3 4 4 3 4 4 3 4 4 3 4 4 3 4 4 3 4 3 4 4 3 4 SP B ME S SD: 2.3142 c. M:-4.4543 c. 126: 4 3 4 4 3 4 4 3 5 3 3 5 3 4 4 3 4 4 3 4 4 3 4 4 3 5 3 3 5 3 4 4 3 4 SP B D3 S SD: 2.2920 c. M: 4.9171 c. 128: 4 3 4 4 3 5 4 3 4 4 3 5 3 4 4 3 4 4 3 4 4 3 5 4 3 4 4 3 5 3 4 4 3 4 SP B SD: 2.6523 c. M: 4.2312 c. 134: 4 3 5 4 3 5 4 3 5 3 4 5 3 4 5 3 4 4 3 5 4 3 5 4 3 5 3 4 5 3 4 5 3 4 SP B I SD: 2.0548 c. M: 4.6584 c. 142: 5 3 5 4 3 5 4 4 5 4 4 5 3 4 5 4 4 5 3 5 4 3 5 4 4 5 4 4 5 3 4 5 4 4 SP B SD: 2.4137 c. M: 4.1628 c. 146: 5 3 5 5 3 5 4 4 5 4 4 5 4 4 5 3 5 5 3 5 5 3 5 4 4 5 4 4 5 4 4 5 3 5 SP B D3 S SD: 1.6611 c. M: 3.4601 c. 164: 6 3 6 5 3 6 5 4 6 4 5 6 4 4 6 4 5 6 3 6 5 3 6 5 4 6 4 5 6 4 4 6 4 5 SP B SD: 2.0803 c. M:-3.4232 c. 168: 6 3 6 5 4 6 5 4 6 5 4 6 4 5 6 4 5 6 3 6 5 4 6 5 4 6 5 4 6 4 5 6 4 5 SP B SD: 1.4072 c. M:-3.5326 c. 174: 6 4 6 5 4 6 5 4 7 4 5 6 4 5 7 4 5 6 4 6 5 4 6 5 4 7 4 5 6 4 5 7 4 5 SP B SD: 1.9916 c. M:-3.1530 c. 176: 6 4 6 5 4 6 6 4 6 5 5 6 4 5 7 3 6 6 4 6 5 4 6 6 4 6 5 5 6 4 5 7 3 6 SP B SD: 1.9313 c. M: 3.2733 c. 180: 6 4 6 6 4 6 5 5 6 5 5 6 5 5 6 4 6 6 4 6 6 4 6 5 5 6 5 5 6 5 5 6 4 6 SP B D3 S SD: 1.6429 c. M: 2.7689 c. 190: 6 5 6 6 4 7 5 5 7 5 5 7 5 5 7 4 6 6 5 6 6 4 7 5 5 7 5 5 7 5 5 7 4 6 SP B S SD: 1.4174 c. M:-3.0654 c. 202: 7 4 7 6 5 7 6 5 7 6 5 7 5 6 7 5 6 7 4 7 6 5 7 6 5 7 6 5 7 5 6 7 5 6 SP B SD: 1.2800 c. M:-2.8254 c. 204: 7 4 7 7 4 7 6 5 8 5 6 7 5 6 7 5 6 7 4 7 7 4 7 6 5 8 5 6 7 5 6 7 5 6 SP B SD: 1.6616 c. M:-2.6762 c. 210: 7 5 7 6 5 8 6 5 7 6 5 8 5 6 8 4 7 7 5 7 6 5 8 6 5 7 6 5 8 5 6 8 4 7 SP B SD: 1.6125 c. M:-2.7020 c. 212: 7 5 7 7 4 8 6 5 8 5 6 8 5 6 8 4 7 7 5 7 7 4 8 6 5 8 5 6 8 5 6 8 4 7 SP B SD: 1.2812 c. M: 2.6668 c. 220: 7 5 8 7 4 8 7 5 8 6 6 8 5 6 8 5 7 7 5 8 7 4 8 7 5 8 6 6 8 5 6 8 5 7 SP B SD: 1.5407 c. M:-2.4165 c. 224: 7 5 8 7 5 8 6 6 8 6 6 8 5 7 8 5 7 7 5 8 7 5 8 6 6 8 6 6 8 5 7 8 5 7 SP B I SD: 1.3343 c. M: 2.9793 c. 234: 8 5 8 7 5 9 7 5 9 6 6 9 5 7 9 5 7 8 5 8 7 5 9 7 5 9 6 6 9 5 7 9 5 7 SP B S SD: 1.3415 c. M:-2.3593 c. 246: 8 6 8 8 5 9 7 6 9 6 7 9 6 7 9 5 8 8 6 8 8 5 9 7 6 9 6 7 9 6 7 9 5 8 SP B SD: 0.9602 c. M: 2.3907 c. 258: 9 5 9 8 6 9 8 6 9 7 7 9 6 8 9 6 8 9 5 9 8 6 9 8 6 9 7 7 9 6 8 9 6 8 SP B S SD: 1.0485 c. M: 2.1733 c. 262: 9 6 8 9 5 10 7 7 9 7 7 10 6 8 9 6 8 9 6 8 9 5 10 7 7 9 7 7 10 6 8 9 6 8 SP B SD: 1.3049 c. M:-1.9611 c. 264: 9 6 9 8 6 9 8 6 10 7 7 9 7 7 10 6 8 9 6 9 8 6 9 8 6 10 7 7 9 7 7 10 6 8 SP B SD: 1.1563 c. M: 1.8705 c. 268: 9 6 9 8 6 10 8 6 10 7 7 10 6 8 10 6 8 9 6 9 8 6 10 8 6 10 7 7 10 6 8 10 6 8 SP B S SD: 0.9357 c. M:-1.8149 c. 280: 9 7 9 9 6 10 8 7 10 8 7 10 7 8 10 6 9 9 7 9 9 6 10 8 7 10 8 7 10 7 8 10 6 9 SP B SD: 0.9178 c. M:-2.1041 c. 302: 10 7 10 9 7 11 9 7 11 8 8 11 7 9 11 7 9 10 7 10 9 7 11 9 7 11 8 8 11 7 9 11 7 9 SP B S SD: 0.7905 c. M:-1.8742 c. 306: 10 7 10 10 7 11 9 7 11 8 8 11 8 9 11 6 10 10 7 10 10 7 11 9 7 11 8 8 11 8 9 11 6 10 SP B SD: 1.0976 c. M:-1.7472 c. 314: 11 6 11 10 7 11 9 8 11 9 8 11 8 9 11 7 10 11 6 11 10 7 11 9 8 11 9 8 11 8 9 11 7 10 SP B SD: 0.9156 c. M:-1.8038 c. 318: 11 7 10 10 7 12 9 8 11 9 8 12 7 10 11 7 10 11 7 10 10 7 12 9 8 11 9 8 12 7 10 11 7 10 SP B SD: 1.0465 c. M: 1.5601 c. 320: 11 7 11 10 7 11 9 8 12 8 9 11 8 9 12 7 10 11 7 11 10 7 11 9 8 12 8 9 11 8 9 12 7 10 SP B SD: 1.0428 c. M: 1.7332 c. 322: 11 7 11 10 7 12 9 8 11 9 9 11 8 9 12 7 10 11 7 11 10 7 12 9 8 11 9 9 11 8 9 12 7 10 SP B S SD: 0.8729 c. M:-2.0185 c. 324: 11 7 11 10 7 12 9 8 12 8 9 12 8 9 12 7 10 11 7 11 10 7 12 9 8 12 8 9 12 8 9 12 7 10 SP B SD: 0.7460 c. M: 1.7584 c. 338: 11 8 11 11 7 12 10 8 13 9 9 12 8 10 12 7 11 11 8 11 11 7 12 10 8 13 9 9 12 8 10 12 7 11 SP B SD: 1.0185 c. M: 1.4260 c. 342: 12 7 12 10 8 12 10 8 13 9 9 12 9 9 13 7 11 12 7 12 10 8 12 10 8 13 9 9 12 9 9 13 7 11 SP B SD: 1.0168 c. M:-1.6619 c. 343: 12 7 12 10 8 12 10 9 12 9 9 13 8 10 12 8 10 12 8 11 11 7 13 10 8 12 10 9 12 8 10 13 7 11 SP SD: 1.0105 c. M: 1.7493 c. 346: 12 7 12 11 7 13 10 8 13 9 9 13 8 10 13 7 11 12 7 12 11 7 13 10 8 13 9 9 13 8 10 13 7 11 SP B S SD: 0.7882 c. M:-1.4700 c. 358: 12 8 12 11 8 13 10 9 13 9 10 13 9 10 13 8 11 12 8 12 11 8 13 10 9 13 9 10 13 9 10 13 8 11 SP B SD: 0.6452 c. M: 1.6549 c. 362: 12 8 12 12 8 13 10 9 13 10 9 13 9 11 13 8 11 12 8 12 12 8 13 10 9 13 10 9 13 9 11 13 8 11 SP B SD: 0.8961 c. M: 1.2575 c. 370: 12 9 12 12 8 13 11 9 13 10 10 13 9 11 13 8 12 12 9 12 12 8 13 11 9 13 10 10 13 9 11 13 8 12 SP B S SD: 0.8062 c. M: 1.5603 c. 380: 13 8 13 12 8 14 11 9 14 10 10 14 9 11 14 8 12 13 8 13 12 8 14 11 9 14 10 10 14 9 11 14 8 12 SP B S SD: 0.3967 c. M:-0.7398 c. 414: 14 9 14 13 9 15 12 10 15 11 11 15 10 12 15 9 13 14 9 14 13 9 15 12 10 15 11 11 15 10 12 15 9 13 SP B S SD: 0.0695 c. M:-0.1296 c. 1276: 43 28 43 40 28 46 37 31 46 34 34 46 31 37 46 28 40 43 28 43 40 28 46 37 31 46 34 34 46 31 37 46 28 40 SP B S SD: 0.0279 c. M: 0.0521 c. 1690: 57 37 57 53 37 61 49 41 61 45 45 61 41 49 61 37 53 57 37 57 53 37 61 49 41 61 45 45 61 41 49 61 37 53 SP B S SD: 0.0041 c. M: 0.0076 c.
FIT/HARMONIC
1 .. 2 match: 1 H SD: 0.0000 cents 2 .. 4 match: 2 H SD: 2.6327 cents 3 .. 6 match: 3 H SD: 2.6660 cents 4 .. 8 match: 4 H SD: 4.0297 cents 5 .. 10 match: 5 H SD: 4.3359 cents 6 .. 12 match: 6 H SD: 2.8751 cents 7 .. 14 match: 7 H SD: 4.6801 cents 8 .. 16 match: 8 H SD: 3.0333 cents 9 .. 18 match: 9 H SD: 2.3893 cents 10 .. 20 match: 10 H SD: 2.9962 cents 11 .. 22 match: 11 H SD: 2.5819 cents 12 .. 24 match: 12 H SD: 2.6750 cents 13 .. 26 match: 13 H SD: 2.2429 cents 14 .. 28 match: 14 H SD: 3.1564 cents 15 .. 30 match: 15 H SD: 2.2710 cents 16 .. 32 match: 16 H SD: 2.5050 cents 17 .. 34 match: 17 H SD: 2.4726 cents 18 .. 36 match: 18 H SD: 2.0398 cents 19 .. 38 match: 19 H SD: 2.8238 cents 20 .. 40 match: 20 H SD: 2.3183 cents 21 .. 42 match: 21 H SD: 2.6682 cents 22 .. 44 match: 22 H SD: 2.0731 cents 23 .. 46 match: 23 H SD: 2.1878 cents 24 .. 48 match: 24 H SD: 1.9536 cents 25 .. 50 match: 25 H SD: 2.0567 cents 26 .. 52 match: 26 H SD: 2.0198 cents 27 .. 54 match: 27 H SD: 1.7384 cents 28 .. 56 match: 27 SD: 1.9888 cents 29 .. 58 match: 27 SD: 1.9700 cents 30 .. 60 match: 29 S SD: 1.5701 cents 31 .. 62 match: 28 SD: 1.7831 cents 32 .. 64 match: 30 S SD: 1.7909 cents 33 .. 66 match: 31 S SD: 1.6828 cents 34 .. 68 match: 29 S SD: 1.6897 cents 35 .. 70 match: 30 SD: 1.8896 cents 36 .. 72 match: 32 S SD: 1.4495 cents 37 .. 74 match: 30 SD: 1.7199 cents 38 .. 76 match: 32 SD: 1.6263 cents 39 .. 78 match: 33 SD: 1.3798 cents 40 .. 80 match: 31 SD: 1.4900 cents 41 .. 82 match: 32 SD: 1.5661 cents 42 .. 84 match: 31 SD: 1.6224 cents 43 .. 86 match: 33 SD: 1.3492 cents 44 .. 88 match: 34 SD: 1.2255 cents 45 .. 90 match: 34 SD: 1.1715 cents 47 .. 94 match: 34 SD: 1.1334 cents 52 .. 104 match: 33 SD: 1.0450 cents 57 .. 114 match: 34 SD: 0.9874 cents 58 .. 116 match: 34 SD: 0.9767 cents 60 .. 120 match: 34 SD: 0.9487 cents 67 .. 134 match: 34 SD: 0.9024 cents 68 .. 136 match: 34 SD: 0.8322 cents 75 .. 150 match: 34 SD: 0.7479 cents 76 .. 152 match: 34 SD: 0.7362 cents 78 .. 156 match: 34 SD: 0.7127 cents 79 .. 158 match: 34 SD: 0.6981 cents 83 .. 166 match: 34 SD: 0.6792 cents 85 .. 170 match: 34 SD: 0.6389 cents 91 .. 182 match: 34 SD: 0.6213 cents 93 .. 186 match: 34 SD: 0.6170 cents 96 .. 192 match: 34 SD: 0.5961 cents 97 .. 194 match: 34 SD: 0.5640 cents 107 .. 214 match: 34 SD: 0.5398 cents 115 .. 230 match: 34 SD: 0.5035 cents 121 .. 242 match: 34 SD: 0.4528 cents 123 .. 246 match: 34 SD: 0.4373 cents 125 .. 250 match: 34 SD: 0.4060 cents 128 .. 256 match: 34 SD: 0.3535 cents 160 .. 320 match: 34 SD: 0.3498 cents 168 .. 336 match: 34 SD: 0.3482 cents 171 .. 342 match: 34 SD: 0.3308 cents 172 .. 344 match: 34 SD: 0.3092 cents 182 .. 364 match: 34 SD: 0.2933 cents 185 .. 370 match: 34 SD: 0.2744 cents 206 .. 412 match: 34 SD: 0.2432 cents 234 .. 468 match: 34 SD: 0.2316 cents 248 .. 496 match: 34 SD: 0.2167 cents 250 .. 500 match: 34 SD: 0.2150 cents 251 .. 502 match: 34 SD: 0.1984 cents 253 .. 506 match: 34 SD: 0.1859 cents 297 .. 594 match: 34 SD: 0.1700 cents 309 .. 618 match: 34 SD: 0.1561 cents 328 .. 656 match: 34 SD: 0.1535 cents 357 .. 714 match: 34 SD: 0.1409 cents 377 .. 754 match: 34 SD: 0.1303 cents 424 .. 848 match: 34 SD: 0.1215 cents 425 .. 850 match: 34 SD: 0.1193 cents 456 .. 912 match: 34 SD: 0.1164 cents 458 .. 916 match: 34 SD: 0.1139 cents 469 .. 938 match: 34 SD: 0.1103 cents 485 .. 970 match: 34 SD: 0.1085 cents 509 .. 1018 match: 34 SD: 0.1042 cents 516 .. 1032 match: 34 SD: 0.0972 cents 538 .. 1076 match: 34 SD: 0.0969 cents 549 .. 1098 match: 34 SD: 0.0964 cents 561 .. 1122 match: 34 SD: 0.0958 cents 562 .. 1124 match: 34 SD: 0.0918 cents 584 .. 1168 match: 34 SD: 0.0883 cents