Scala analysis: miracle41
Miracle-41, in a 7-limit least-squares tuning
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 34.270 cents 34.270500 2: 68.541 cents 68.541100 3: 82.302 cents 82.302400 4: 116.573 cents 116.572900 5: 150.844 cents 150.843500 6: 185.114 cents 185.114000 7: 198.875 cents 198.875400 8: 233.146 cents 233.145900 9: 267.416 cents 267.416400 10: 301.687 cents 301.687000 11: 315.448 cents 315.448300 12: 349.719 cents 349.718800 13: 383.989 cents 383.989400 14: 418.260 cents 418.259900 15: 432.021 cents 432.021300 16: 466.292 cents 466.291800 17: 500.562 cents 500.562300 18: 534.833 cents 534.832800 19: 548.594 cents 548.594200 20: 582.865 cents 582.864700 21: 617.135 cents 617.135300 22: 651.406 cents 651.405800 23: 665.167 cents 665.167200 24: 699.438 cents 699.437700 25: 733.708 cents 733.708200 26: 767.979 cents 767.978700 27: 781.740 cents 781.740100 28: 816.011 cents 816.010600 29: 850.281 cents 850.281200 30: 884.552 cents 884.551700 31: 898.313 cents 898.313000 32: 932.584 cents 932.583600 33: 966.854 cents 966.854100 34: 1001.125 cents 1001.124600 35: 1014.886 cents 1014.886000 36: 1049.157 cents 1049.156500 37: 1083.427 cents 1083.427100 38: 1117.698 cents 1117.697600 39: 1131.459 cents 1131.458900 40: 1165.729 cents 1165.729500 41: 2/1 1200.000000 octave
SHOW/INTERVAL
0: 34.2705 cents 34.2705 1: 34.2705 cents 34.2705 2: 34.2706 cents 34.2706 3: 13.7613 cents 13.7613 4: 34.2705 cents 34.2705 5: 34.2706 cents 34.2706 6: 34.2705 cents 34.2705 7: 13.7614 cents 13.7614 8: 34.2705 cents 34.2705 9: 34.2705 cents 34.2705 10: 34.2706 cents 34.2706 11: 13.7613 cents 13.7613 12: 34.2705 cents 34.2705 13: 34.2706 cents 34.2706 14: 34.2705 cents 34.2705 15: 13.7614 cents 13.7614 16: 34.2705 cents 34.2705 17: 34.2705 cents 34.2705 18: 34.2705 cents 34.2705 19: 13.7614 cents 13.7614 20: 34.2705 cents 34.2705 21: 34.2706 cents 34.2706 22: 34.2705 cents 34.2705 23: 13.7614 cents 13.7614 24: 34.2705 cents 34.2705 25: 34.2705 cents 34.2705 26: 34.2705 cents 34.2705 27: 13.7614 cents 13.7614 28: 34.2705 cents 34.2705 29: 34.2706 cents 34.2706 30: 34.2705 cents 34.2705 31: 13.7613 cents 13.7613 32: 34.2706 cents 34.2706 33: 34.2705 cents 34.2705 34: 34.2705 cents 34.2705 35: 13.7614 cents 13.7614 36: 34.2705 cents 34.2705 37: 34.2706 cents 34.2706 38: 34.2705 cents 34.2705 39: 13.7613 cents 13.7613 40: 34.2706 cents 34.2706 41: 34.2705 cents 34.2705
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 10 13.76130 cents 1: 31 34.27050 cents 2: 20 48.03190 cents 2: 21 68.54110 cents 3: 30 82.30240 cents 3: 11 102.81160 cents 4: 40 116.57290 cents 4: 1 137.08220 cents 5: 9 130.33430 cents 5: 32 150.84350 cents 6: 19 164.60490 cents 6: 22 185.11400 cents 7: 29 198.87540 cents 7: 12 219.38460 cents 8: 39 233.14590 cents 8: 2 253.65510 cents 9: 8 246.90720 cents 9: 33 267.41640 cents 10: 18 281.17780 cents 10: 23 301.68700 cents 11: 28 315.44830 cents 11: 13 335.95750 cents 12: 38 349.71880 cents 12: 3 370.22810 cents 13: 7 363.48020 cents 13: 34 383.98940 cents 14: 17 397.75080 cents 14: 24 418.25990 cents 15: 27 432.02130 cents 15: 14 452.53040 cents 16: 37 466.29180 cents 16: 4 486.80100 cents 17: 6 480.05310 cents 17: 35 500.56230 cents 18: 16 514.32370 cents 18: 25 534.83280 cents 19: 26 548.59420 cents 19: 15 569.10340 cents 20: 36 582.86470 cents 20: 5 603.37390 cents 21: 5 596.62610 cents 21: 36 617.13530 cents 22: 15 630.89670 cents 22: 26 651.40580 cents 23: 25 665.16720 cents 23: 16 685.67630 cents 24: 35 699.43770 cents 24: 6 719.94690 cents 25: 4 713.19900 cents 25: 37 733.70820 cents 26: 14 747.46960 cents 26: 27 767.97870 cents 27: 24 781.74010 cents 27: 17 802.24930 cents 28: 34 816.01060 cents 28: 7 836.51980 cents 29: 3 829.77190 cents 29: 38 850.28120 cents 30: 13 864.04250 cents 30: 28 884.55170 cents 31: 23 898.31300 cents 31: 18 918.82220 cents 32: 33 932.58360 cents 32: 8 953.09280 cents 33: 2 946.34490 cents 33: 39 966.85410 cents 34: 12 980.61550 cents 34: 29 1001.12460 cents 35: 22 1014.88600 cents 35: 19 1035.39520 cents 36: 32 1049.15650 cents 36: 9 1069.66570 cents 37: 1 1062.91780 cents 37: 40 1083.42710 cents 38: 11 1097.18840 cents 38: 30 1117.69760 cents 39: 21 1131.45890 cents 39: 20 1151.96810 cents 40: 31 1165.72950 cents 40: 10 1186.23870 cents Highest number of different intervals for one interval class: 2 Average number of different intervals per interval class: 2.00000 = 2
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 0.0 : 34.3 68.5 82.3 116.6 150.8 185.1 198.9 233.1 267.4 301.7 315.4 349.7 384.0 418.3 432.0 466.3 500.6 534.8 548.6 582.9 617.1 651.4 665.2 699.4 733.7 768.0 781.7 816.0 850.3 884.6 898.3 932.6 966.9 1001.1 1014.9 1049.2 1083.4 1117.7 1131.5 1165.7 1200.0 34.3 : 34.3 48.0 82.3 116.6 150.8 164.6 198.9 233.1 267.4 281.2 315.4 349.7 384.0 397.8 432.0 466.3 500.6 514.3 548.6 582.9 617.1 630.9 665.2 699.4 733.7 747.5 781.7 816.0 850.3 864.0 898.3 932.6 966.9 980.6 1014.9 1049.2 1083.4 1097.2 1131.5 1165.7 1200.0 68.5 : 13.8 48.0 82.3 116.6 130.3 164.6 198.9 233.1 246.9 281.2 315.4 349.7 363.5 397.8 432.0 466.3 480.1 514.3 548.6 582.9 596.6 630.9 665.2 699.4 713.2 747.5 781.7 816.0 829.8 864.0 898.3 932.6 946.3 980.6 1014.9 1049.2 1062.9 1097.2 1131.5 1165.7 1200.0 82.3 : 34.3 68.5 102.8 116.6 150.8 185.1 219.4 233.1 267.4 301.7 336.0 349.7 384.0 418.3 452.5 466.3 500.6 534.8 569.1 582.9 617.1 651.4 685.7 699.4 733.7 768.0 802.2 816.0 850.3 884.6 918.8 932.6 966.9 1001.1 1035.4 1049.2 1083.4 1117.7 1152.0 1186.2 1200.0 116.6 : 34.3 68.5 82.3 116.6 150.8 185.1 198.9 233.1 267.4 301.7 315.4 349.7 384.0 418.3 432.0 466.3 500.6 534.8 548.6 582.9 617.1 651.4 665.2 699.4 733.7 768.0 781.7 816.0 850.3 884.6 898.3 932.6 966.9 1001.1 1014.9 1049.2 1083.4 1117.7 1152.0 1165.7 1200.0 150.8 : 34.3 48.0 82.3 116.6 150.8 164.6 198.9 233.1 267.4 281.2 315.4 349.7 384.0 397.8 432.0 466.3 500.6 514.3 548.6 582.9 617.1 630.9 665.2 699.4 733.7 747.5 781.7 816.0 850.3 864.0 898.3 932.6 966.9 980.6 1014.9 1049.2 1083.4 1117.7 1131.5 1165.7 1200.0 185.1 : 13.8 48.0 82.3 116.6 130.3 164.6 198.9 233.1 246.9 281.2 315.4 349.7 363.5 397.8 432.0 466.3 480.1 514.3 548.6 582.9 596.6 630.9 665.2 699.4 713.2 747.5 781.7 816.0 829.8 864.0 898.3 932.6 946.3 980.6 1014.9 1049.2 1083.4 1097.2 1131.5 1165.7 1200.0 198.9 : 34.3 68.5 102.8 116.6 150.8 185.1 219.4 233.1 267.4 301.7 336.0 349.7 384.0 418.3 452.5 466.3 500.6 534.8 569.1 582.9 617.1 651.4 685.7 699.4 733.7 768.0 802.2 816.0 850.3 884.6 918.8 932.6 966.9 1001.1 1035.4 1069.7 1083.4 1117.7 1152.0 1186.2 1200.0 233.1 : 34.3 68.5 82.3 116.6 150.8 185.1 198.9 233.1 267.4 301.7 315.4 349.7 384.0 418.3 432.0 466.3 500.6 534.8 548.6 582.9 617.1 651.4 665.2 699.4 733.7 768.0 781.7 816.0 850.3 884.6 898.3 932.6 966.9 1001.1 1035.4 1049.2 1083.4 1117.7 1152.0 1165.7 1200.0 267.4 : 34.3 48.0 82.3 116.6 150.8 164.6 198.9 233.1 267.4 281.2 315.4 349.7 384.0 397.8 432.0 466.3 500.6 514.3 548.6 582.9 617.1 630.9 665.2 699.4 733.7 747.5 781.7 816.0 850.3 864.0 898.3 932.6 966.9 1001.1 1014.9 1049.2 1083.4 1117.7 1131.5 1165.7 1200.0 301.7 : 13.8 48.0 82.3 116.6 130.3 164.6 198.9 233.1 246.9 281.2 315.4 349.7 363.5 397.8 432.0 466.3 480.1 514.3 548.6 582.9 596.6 630.9 665.2 699.4 713.2 747.5 781.7 816.0 829.8 864.0 898.3 932.6 966.9 980.6 1014.9 1049.2 1083.4 1097.2 1131.5 1165.7 1200.0 315.4 : 34.3 68.5 102.8 116.6 150.8 185.1 219.4 233.1 267.4 301.7 336.0 349.7 384.0 418.3 452.5 466.3 500.6 534.8 569.1 582.9 617.1 651.4 685.7 699.4 733.7 768.0 802.2 816.0 850.3 884.6 918.8 953.1 966.9 1001.1 1035.4 1069.7 1083.4 1117.7 1152.0 1186.2 1200.0 349.7 : 34.3 68.5 82.3 116.6 150.8 185.1 198.9 233.1 267.4 301.7 315.4 349.7 384.0 418.3 432.0 466.3 500.6 534.8 548.6 582.9 617.1 651.4 665.2 699.4 733.7 768.0 781.7 816.0 850.3 884.6 918.8 932.6 966.9 1001.1 1035.4 1049.2 1083.4 1117.7 1152.0 1165.7 1200.0 384.0 : 34.3 48.0 82.3 116.6 150.8 164.6 198.9 233.1 267.4 281.2 315.4 349.7 384.0 397.8 432.0 466.3 500.6 514.3 548.6 582.9 617.1 630.9 665.2 699.4 733.7 747.5 781.7 816.0 850.3 884.6 898.3 932.6 966.9 1001.1 1014.9 1049.2 1083.4 1117.7 1131.5 1165.7 1200.0 418.3 : 13.8 48.0 82.3 116.6 130.3 164.6 198.9 233.1 246.9 281.2 315.4 349.7 363.5 397.8 432.0 466.3 480.1 514.3 548.6 582.9 596.6 630.9 665.2 699.4 713.2 747.5 781.7 816.0 850.3 864.0 898.3 932.6 966.9 980.6 1014.9 1049.2 1083.4 1097.2 1131.5 1165.7 1200.0 432.0 : 34.3 68.5 102.8 116.6 150.8 185.1 219.4 233.1 267.4 301.7 336.0 349.7 384.0 418.3 452.5 466.3 500.6 534.8 569.1 582.9 617.1 651.4 685.7 699.4 733.7 768.0 802.2 836.5 850.3 884.6 918.8 953.1 966.9 1001.1 1035.4 1069.7 1083.4 1117.7 1152.0 1186.2 1200.0 466.3 : 34.3 68.5 82.3 116.6 150.8 185.1 198.9 233.1 267.4 301.7 315.4 349.7 384.0 418.3 432.0 466.3 500.6 534.8 548.6 582.9 617.1 651.4 665.2 699.4 733.7 768.0 802.2 816.0 850.3 884.6 918.8 932.6 966.9 1001.1 1035.4 1049.2 1083.4 1117.7 1152.0 1165.7 1200.0 500.6 : 34.3 48.0 82.3 116.6 150.8 164.6 198.9 233.1 267.4 281.2 315.4 349.7 384.0 397.8 432.0 466.3 500.6 514.3 548.6 582.9 617.1 630.9 665.2 699.4 733.7 768.0 781.7 816.0 850.3 884.6 898.3 932.6 966.9 1001.1 1014.9 1049.2 1083.4 1117.7 1131.5 1165.7 1200.0 534.8 : 13.8 48.0 82.3 116.6 130.3 164.6 198.9 233.1 246.9 281.2 315.4 349.7 363.5 397.8 432.0 466.3 480.1 514.3 548.6 582.9 596.6 630.9 665.2 699.4 733.7 747.5 781.7 816.0 850.3 864.0 898.3 932.6 966.9 980.6 1014.9 1049.2 1083.4 1097.2 1131.5 1165.7 1200.0 548.6 : 34.3 68.5 102.8 116.6 150.8 185.1 219.4 233.1 267.4 301.7 336.0 349.7 384.0 418.3 452.5 466.3 500.6 534.8 569.1 582.9 617.1 651.4 685.7 719.9 733.7 768.0 802.2 836.5 850.3 884.6 918.8 953.1 966.9 1001.1 1035.4 1069.7 1083.4 1117.7 1152.0 1186.2 1200.0 582.9 : 34.3 68.5 82.3 116.6 150.8 185.1 198.9 233.1 267.4 301.7 315.4 349.7 384.0 418.3 432.0 466.3 500.6 534.8 548.6 582.9 617.1 651.4 685.7 699.4 733.7 768.0 802.2 816.0 850.3 884.6 918.8 932.6 966.9 1001.1 1035.4 1049.2 1083.4 1117.7 1152.0 1165.7 1200.0 617.1 : 34.3 48.0 82.3 116.6 150.8 164.6 198.9 233.1 267.4 281.2 315.4 349.7 384.0 397.8 432.0 466.3 500.6 514.3 548.6 582.9 617.1 651.4 665.2 699.4 733.7 768.0 781.7 816.0 850.3 884.6 898.3 932.6 966.9 1001.1 1014.9 1049.2 1083.4 1117.7 1131.5 1165.7 1200.0 651.4 : 13.8 48.0 82.3 116.6 130.3 164.6 198.9 233.1 246.9 281.2 315.4 349.7 363.5 397.8 432.0 466.3 480.1 514.3 548.6 582.9 617.1 630.9 665.2 699.4 733.7 747.5 781.7 816.0 850.3 864.0 898.3 932.6 966.9 980.6 1014.9 1049.2 1083.4 1097.2 1131.5 1165.7 1200.0 665.2 : 34.3 68.5 102.8 116.6 150.8 185.1 219.4 233.1 267.4 301.7 336.0 349.7 384.0 418.3 452.5 466.3 500.6 534.8 569.1 603.4 617.1 651.4 685.7 719.9 733.7 768.0 802.2 836.5 850.3 884.6 918.8 953.1 966.9 1001.1 1035.4 1069.7 1083.4 1117.7 1152.0 1186.2 1200.0 699.4 : 34.3 68.5 82.3 116.6 150.8 185.1 198.9 233.1 267.4 301.7 315.4 349.7 384.0 418.3 432.0 466.3 500.6 534.8 569.1 582.9 617.1 651.4 685.7 699.4 733.7 768.0 802.2 816.0 850.3 884.6 918.8 932.6 966.9 1001.1 1035.4 1049.2 1083.4 1117.7 1152.0 1165.7 1200.0 733.7 : 34.3 48.0 82.3 116.6 150.8 164.6 198.9 233.1 267.4 281.2 315.4 349.7 384.0 397.8 432.0 466.3 500.6 534.8 548.6 582.9 617.1 651.4 665.2 699.4 733.7 768.0 781.7 816.0 850.3 884.6 898.3 932.6 966.9 1001.1 1014.9 1049.2 1083.4 1117.7 1131.5 1165.7 1200.0 768.0 : 13.8 48.0 82.3 116.6 130.3 164.6 198.9 233.1 246.9 281.2 315.4 349.7 363.5 397.8 432.0 466.3 500.6 514.3 548.6 582.9 617.1 630.9 665.2 699.4 733.7 747.5 781.7 816.0 850.3 864.0 898.3 932.6 966.9 980.6 1014.9 1049.2 1083.4 1097.2 1131.5 1165.7 1200.0 781.7 : 34.3 68.5 102.8 116.6 150.8 185.1 219.4 233.1 267.4 301.7 336.0 349.7 384.0 418.3 452.5 486.8 500.6 534.8 569.1 603.4 617.1 651.4 685.7 719.9 733.7 768.0 802.2 836.5 850.3 884.6 918.8 953.1 966.9 1001.1 1035.4 1069.7 1083.4 1117.7 1152.0 1186.2 1200.0 816.0 : 34.3 68.5 82.3 116.6 150.8 185.1 198.9 233.1 267.4 301.7 315.4 349.7 384.0 418.3 452.5 466.3 500.6 534.8 569.1 582.9 617.1 651.4 685.7 699.4 733.7 768.0 802.2 816.0 850.3 884.6 918.8 932.6 966.9 1001.1 1035.4 1049.2 1083.4 1117.7 1152.0 1165.7 1200.0 850.3 : 34.3 48.0 82.3 116.6 150.8 164.6 198.9 233.1 267.4 281.2 315.4 349.7 384.0 418.3 432.0 466.3 500.6 534.8 548.6 582.9 617.1 651.4 665.2 699.4 733.7 768.0 781.7 816.0 850.3 884.6 898.3 932.6 966.9 1001.1 1014.9 1049.2 1083.4 1117.7 1131.5 1165.7 1200.0 884.6 : 13.8 48.0 82.3 116.6 130.3 164.6 198.9 233.1 246.9 281.2 315.4 349.7 384.0 397.8 432.0 466.3 500.6 514.3 548.6 582.9 617.1 630.9 665.2 699.4 733.7 747.5 781.7 816.0 850.3 864.0 898.3 932.6 966.9 980.6 1014.9 1049.2 1083.4 1097.2 1131.5 1165.7 1200.0 898.3 : 34.3 68.5 102.8 116.6 150.8 185.1 219.4 233.1 267.4 301.7 336.0 370.2 384.0 418.3 452.5 486.8 500.6 534.8 569.1 603.4 617.1 651.4 685.7 719.9 733.7 768.0 802.2 836.5 850.3 884.6 918.8 953.1 966.9 1001.1 1035.4 1069.7 1083.4 1117.7 1152.0 1186.2 1200.0 932.6 : 34.3 68.5 82.3 116.6 150.8 185.1 198.9 233.1 267.4 301.7 336.0 349.7 384.0 418.3 452.5 466.3 500.6 534.8 569.1 582.9 617.1 651.4 685.7 699.4 733.7 768.0 802.2 816.0 850.3 884.6 918.8 932.6 966.9 1001.1 1035.4 1049.2 1083.4 1117.7 1152.0 1165.7 1200.0 966.9 : 34.3 48.0 82.3 116.6 150.8 164.6 198.9 233.1 267.4 301.7 315.4 349.7 384.0 418.3 432.0 466.3 500.6 534.8 548.6 582.9 617.1 651.4 665.2 699.4 733.7 768.0 781.7 816.0 850.3 884.6 898.3 932.6 966.9 1001.1 1014.9 1049.2 1083.4 1117.7 1131.5 1165.7 1200.0 1001.1: 13.8 48.0 82.3 116.6 130.3 164.6 198.9 233.1 267.4 281.2 315.4 349.7 384.0 397.8 432.0 466.3 500.6 514.3 548.6 582.9 617.1 630.9 665.2 699.4 733.7 747.5 781.7 816.0 850.3 864.0 898.3 932.6 966.9 980.6 1014.9 1049.2 1083.4 1097.2 1131.5 1165.7 1200.0 1014.9: 34.3 68.5 102.8 116.6 150.8 185.1 219.4 253.7 267.4 301.7 336.0 370.2 384.0 418.3 452.5 486.8 500.6 534.8 569.1 603.4 617.1 651.4 685.7 719.9 733.7 768.0 802.2 836.5 850.3 884.6 918.8 953.1 966.9 1001.1 1035.4 1069.7 1083.4 1117.7 1152.0 1186.2 1200.0 1049.2: 34.3 68.5 82.3 116.6 150.8 185.1 219.4 233.1 267.4 301.7 336.0 349.7 384.0 418.3 452.5 466.3 500.6 534.8 569.1 582.9 617.1 651.4 685.7 699.4 733.7 768.0 802.2 816.0 850.3 884.6 918.8 932.6 966.9 1001.1 1035.4 1049.2 1083.4 1117.7 1152.0 1165.7 1200.0 1083.4: 34.3 48.0 82.3 116.6 150.8 185.1 198.9 233.1 267.4 301.7 315.4 349.7 384.0 418.3 432.0 466.3 500.6 534.8 548.6 582.9 617.1 651.4 665.2 699.4 733.7 768.0 781.7 816.0 850.3 884.6 898.3 932.6 966.9 1001.1 1014.9 1049.2 1083.4 1117.7 1131.5 1165.7 1200.0 1117.7: 13.8 48.0 82.3 116.6 150.8 164.6 198.9 233.1 267.4 281.2 315.4 349.7 384.0 397.8 432.0 466.3 500.6 514.3 548.6 582.9 617.1 630.9 665.2 699.4 733.7 747.5 781.7 816.0 850.3 864.0 898.3 932.6 966.9 980.6 1014.9 1049.2 1083.4 1097.2 1131.5 1165.7 1200.0 1131.5: 34.3 68.5 102.8 137.1 150.8 185.1 219.4 253.7 267.4 301.7 336.0 370.2 384.0 418.3 452.5 486.8 500.6 534.8 569.1 603.4 617.1 651.4 685.7 719.9 733.7 768.0 802.2 836.5 850.3 884.6 918.8 953.1 966.9 1001.1 1035.4 1069.7 1083.4 1117.7 1152.0 1186.2 1200.0 1165.7: 34.3 68.5 102.8 116.6 150.8 185.1 219.4 233.1 267.4 301.7 336.0 349.7 384.0 418.3 452.5 466.3 500.6 534.8 569.1 582.9 617.1 651.4 685.7 699.4 733.7 768.0 802.2 816.0 850.3 884.6 918.8 932.6 966.9 1001.1 1035.4 1049.2 1083.4 1117.7 1152.0 1165.7 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 13.7613 .. 34.2705 cents 20.50920 cents 13.76130 cents 2: 48.0319 .. 68.5411 cents 20.50920 cents 13.76140 cents 3: 82.3024 .. 102.8116 cents 20.50920 cents 13.76130 cents 4: 116.5729 .. 137.0822 cents 20.50930 cents 13.76130 cents 5: 130.3343 .. 150.8435 cents 20.50920 cents -6.74790 cents 6: 164.6049 .. 185.1140 cents 20.50910 cents 13.76140 cents 7: 198.8754 .. 219.3846 cents 20.50920 cents 13.76140 cents 8: 233.1459 .. 253.6551 cents 20.50920 cents 13.76130 cents 9: 246.9072 .. 267.4164 cents 20.50920 cents -6.74790 cents 10: 281.1778 .. 301.6870 cents 20.50920 cents 13.76140 cents 11: 315.4483 .. 335.9575 cents 20.50920 cents 13.76130 cents 12: 349.7188 .. 370.2281 cents 20.50930 cents 13.76130 cents 13: 363.4802 .. 383.9894 cents 20.50920 cents -6.74790 cents 14: 397.7508 .. 418.2599 cents 20.50910 cents 13.76140 cents 15: 432.0213 .. 452.5304 cents 20.50910 cents 13.76140 cents 16: 466.2918 .. 486.8010 cents 20.50920 cents 13.76140 cents 17: 480.0531 .. 500.5623 cents 20.50920 cents -6.74790 cents 18: 514.3237 .. 534.8328 cents 20.50910 cents 13.76140 cents 19: 548.5942 .. 569.1034 cents 20.50920 cents 13.76140 cents 20: 582.8647 .. 603.3739 cents 20.50920 cents 13.76130 cents 21: 596.6261 .. 617.1353 cents 20.50920 cents -6.74780 cents 22: 630.8967 .. 651.4058 cents 20.50910 cents 13.76140 cents 23: 665.1672 .. 685.6763 cents 20.50910 cents 13.76140 cents 24: 699.4377 .. 719.9469 cents 20.50920 cents 13.76140 cents 25: 713.1990 .. 733.7082 cents 20.50920 cents -6.74790 cents 26: 747.4696 .. 767.9787 cents 20.50910 cents 13.76140 cents 27: 781.7401 .. 802.2493 cents 20.50920 cents 13.76140 cents 28: 816.0106 .. 836.5198 cents 20.50920 cents 13.76130 cents 29: 829.7719 .. 850.2812 cents 20.50930 cents -6.74790 cents 30: 864.0425 .. 884.5517 cents 20.50920 cents 13.76130 cents 31: 898.3130 .. 918.8222 cents 20.50920 cents 13.76130 cents 32: 932.5836 .. 953.0928 cents 20.50920 cents 13.76140 cents 33: 946.3449 .. 966.8541 cents 20.50920 cents -6.74790 cents 34: 980.6155 .. 1001.1246 cents 20.50910 cents 13.76140 cents 35: 1014.8860 .. 1035.3952 cents 20.50920 cents 13.76140 cents 36: 1049.1565 .. 1069.6657 cents 20.50920 cents 13.76130 cents 37: 1062.9178 .. 1083.4271 cents 20.50930 cents -6.74790 cents 38: 1097.1884 .. 1117.6976 cents 20.50920 cents 13.76130 cents 39: 1131.4589 .. 1151.9681 cents 20.50920 cents 13.76130 cents 40: 1165.7295 .. 1186.2387 cents 20.50920 cents 13.76140 cents
SHOW DATA
Number of notes : 41 -- Interval properties -- Smallest interval : 13.76130 cents, class 1 Average step (divided formal octave): 29.2683 cents Largest one step interval : 34.27050 cents Average / Smallest step : 2.126855 Largest / Average step : 1.170909 Largest / Smallest step : 2.490353 Median interval of one step : 34.27050 cents, amount: 31 Most common interval of one step : 34.27050 cents, amount: 31 Least squares average step : 29.23385 cents, oct.: 1198.58801 cents Scale is not proper Scale has Myhill's property chromas: 20.50920 cents and 6.74790 cents, ratio: 3.039346 generators: 4 of 116.57290 cents and 37 of 1083.42710 cents ET pair of linear temperament : 10&31 Scale is distributional even Step pattern alph. order: AABAAABAAABAAABAAABAAABAAABAAABAAABAAABAA Step pattern size order : LLSLLLSLLLSLLLSLLLSLLLSLLLSLLLSLLLSLLLSLL Scale is a Constant Structure, by a margin of 6.74780 cents Scale diversity : 1.163575 Lumma stability : 0.366970 Lumma impropriety factor : 0.050609 Rothenberg efficiency : 0.682927 redundancy: 0.317073 Efficiency x scale size : 28.000000 Number of different interval sizes : 80 = 2.00000 / class Number of one step interval sizes : 2 Highest interval variety : 2 Mean interval variety : 2.00000 = 2 Median interval variety : 2 Lowest interval variety : 2 Smallest interval difference : 6.74780 cents Most common intervals : 116.57290 cents & inv., amount: 40 Scale is a chain of 20 triads 0.0 116.573 233.146 cents Most common triad is 0.0 116.573 1083.427 cents, amount: 39 Number of recognisable fifths : 45, average 703.3955 cents Number of appreciable fifths : 39, average 700.8491 cents Scale contains two identical disjunct "tetrachords" of 18 notes Formal octave complements present : 41 = 100.0000% Inversional symmetry on degrees : 0 Inversional symmetry on intervals : 20-21 -- Rational properties -- Prime limit : 2 (not all pitches rational)
FIT/MODE
41: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 SP B ME I SD: 5.9187 c. M:-10.0045 c. 62: 2 2 0 2 2 2 0 2 2 2 0 2 2 2 0 2 2 2 0 2 2 2 0 2 2 2 0 2 2 2 0 2 2 2 0 2 2 2 0 2 2 N M DE I SD: 5.2525 c. M:-8.8783 c. 65: 2 2 0 2 2 2 1 2 1 2 1 2 2 2 0 2 2 2 1 2 1 2 1 2 2 2 0 2 2 2 1 2 1 2 1 2 2 2 0 2 2 N T3 I SD: 5.2503 c. M:-8.9549 c. 66: 2 2 1 1 2 2 1 2 2 2 0 2 2 2 1 2 2 1 1 2 2 2 1 1 2 2 1 2 2 2 0 2 2 2 1 2 2 1 1 2 2 N T3 I SD: 5.1841 c. M: 8.6067 c. 68: 2 2 1 2 2 1 1 2 2 2 1 2 2 2 0 2 2 2 1 2 2 2 1 2 2 2 0 2 2 2 1 2 2 2 1 1 2 2 1 2 2 N I SD: 5.1154 c. M:-8.6434 c. 69: 2 2 1 2 2 2 0 2 2 2 1 2 2 2 1 2 2 2 1 2 1 2 1 2 2 2 1 2 2 2 1 2 2 2 0 2 2 2 1 2 2 N T3 I SD: 4.9578 c. M:-8.4396 c. 70: 2 2 1 2 2 2 1 2 2 2 0 2 2 2 1 2 2 2 1 2 2 2 1 2 2 2 1 2 2 2 0 2 2 2 1 2 2 2 1 2 2 N T3 I SD: 4.7903 c. M:-6.8844 c. 71: 2 2 1 2 2 2 1 2 2 2 1 2 2 2 1 2 2 2 0 2 3 2 0 2 2 2 1 2 2 2 1 2 2 2 1 2 2 2 1 2 2 N I SD: 4.7547 c. M: 8.2168 c. 72: 2 2 1 2 2 2 1 2 2 2 1 2 2 2 1 2 2 2 1 2 2 2 1 2 2 2 1 2 2 2 1 2 2 2 1 2 2 2 1 2 2 P M ME I SD: 1.1089 c. M:-1.8744 c. 103: 3 3 1 3 3 3 1 3 3 3 1 3 3 3 1 3 3 3 1 3 3 3 1 3 3 3 1 3 3 3 1 3 3 3 1 3 3 3 1 3 3 N M DE I SD: 0.8057 c. M:-1.3618 c. 175: 5 5 2 5 5 5 2 5 5 5 2 5 5 5 2 5 5 5 2 5 5 5 2 5 5 5 2 5 5 5 2 5 5 5 2 5 5 5 2 5 5 N M DE I SD: 0.0180 c. M:-0.0303 c. 2347: 67 67 27 67 67 67 27 67 67 67 27 67 67 67 27 67 67 67 27 67 67 67 27 67 67 67 27 67 67 67 27 67 67 67 27 67 67 67 27 67 67 N M DE I SD: 0.0166 c. M:-0.0281 c. 2522: 72 72 29 72 72 72 29 72 72 72 29 72 72 72 29 72 72 72 29 72 72 72 29 72 72 72 29 72 72 72 29 72 72 72 29 72 72 72 29 72 72 N M DE I SD: 0.0142 c. M:-0.0241 c. 2697: 77 77 31 77 77 77 31 77 77 77 31 77 77 77 31 77 77 77 31 77 77 77 31 77 77 77 31 77 77 77 31 77 77 77 31 77 77 77 31 77 77 N M DE I SD: 0.0121 c. M:-0.0205 c. 2872: 82 82 33 82 82 82 33 82 82 82 33 82 82 82 33 82 82 82 33 82 82 82 33 82 82 82 33 82 82 82 33 82 82 82 33 82 82 82 33 82 82 N M DE I SD: 0.0103 c. M:-0.0174 c. 3047: 87 87 35 87 87 87 35 87 87 87 35 87 87 87 35 87 87 87 35 87 87 87 35 87 87 87 35 87 87 87 35 87 87 87 35 87 87 87 35 87 87 N M DE I SD: 0.0087 c. M:-0.0147 c. 3222: 92 92 37 92 92 92 37 92 92 92 37 92 92 92 37 92 92 92 37 92 92 92 37 92 92 92 37 92 92 92 37 92 92 92 37 92 92 92 37 92 92 N M DE I SD: 0.0072 c. M:-0.0122 c. 3397: 97 97 39 97 97 97 39 97 97 97 39 97 97 97 39 97 97 97 39 97 97 97 39 97 97 97 39 97 97 97 39 97 97 97 39 97 97 97 39 97 97 N M DE I SD: 0.0059 c. M:-0.0100 c. 3572: 102 102 41 102 102 102 41 102 102 102 41 102 102 102 41 102 102 102 41 102 102 102 41 102 102 102 41 102 102 102 41 102 102 102 41 102 102 102 41 102 102 N M DE I SD: 0.0047 c. M:-0.0081 c.
FIT/HARMONIC
1 .. 2 match: 1 H SD: 0.0000 cents 2 .. 4 match: 2 H SD: 1.2587 cents 3 .. 6 match: 3 H SD: 0.8416 cents 4 .. 8 match: 4 H SD: 0.9883 cents 5 .. 10 match: 5 H SD: 0.7186 cents 6 .. 12 match: 6 H SD: 0.6021 cents 7 .. 14 match: 7 H SD: 1.7598 cents 8 .. 16 match: 8 H SD: 1.6152 cents 9 .. 18 match: 9 H SD: 2.6052 cents 10 .. 20 match: 10 H SD: 2.4541 cents 11 .. 22 match: 11 H SD: 2.5195 cents 12 .. 24 match: 12 H SD: 2.0243 cents 13 .. 26 match: 13 H SD: 3.0121 cents 14 .. 28 match: 14 H SD: 1.6148 cents 15 .. 30 match: 15 H SD: 1.8346 cents 16 .. 32 match: 16 H SD: 1.9186 cents 17 .. 34 match: 17 H SD: 2.9805 cents 18 .. 36 match: 18 H SD: 2.0016 cents 19 .. 38 match: 19 H SD: 2.1250 cents 20 .. 40 match: 20 H SD: 2.0621 cents 21 .. 42 match: 21 H SD: 1.6923 cents 22 .. 44 match: 22 H SD: 1.7844 cents 23 .. 46 match: 23 H SD: 2.0062 cents 24 .. 48 match: 24 H SD: 1.5187 cents 25 .. 50 match: 25 H SD: 1.5976 cents 26 .. 52 match: 26 H SD: 1.9814 cents 27 .. 54 match: 27 H SD: 1.8655 cents 28 .. 56 match: 28 H SD: 1.4884 cents 29 .. 58 match: 29 H SD: 1.8811 cents 30 .. 60 match: 30 H SD: 1.5045 cents 31 .. 62 match: 31 H SD: 1.7638 cents 32 .. 64 match: 32 H SD: 1.4274 cents 33 .. 66 match: 30 SD: 1.7058 cents 34 .. 68 match: 30 SD: 1.9484 cents 35 .. 70 match: 32 SD: 1.3728 cents 36 .. 72 match: 33 SD: 1.3408 cents 37 .. 74 match: 31 SD: 1.6871 cents 38 .. 76 match: 35 SD: 1.5644 cents 39 .. 78 match: 34 SD: 1.6033 cents 40 .. 80 match: 36 SD: 1.2385 cents 41 .. 82 match: 35 SD: 1.2304 cents 42 .. 84 match: 37 SD: 1.1374 cents 43 .. 86 match: 34 SD: 1.2529 cents 44 .. 88 match: 36 SD: 1.1362 cents 45 .. 90 match: 37 SD: 1.1251 cents 46 .. 92 match: 34 SD: 1.2573 cents 47 .. 94 match: 36 SD: 1.1861 cents 48 .. 96 match: 36 SD: 1.0841 cents 49 .. 98 match: 37 SD: 1.1113 cents 50 .. 100 match: 36 SD: 1.1624 cents 51 .. 102 match: 37 SD: 1.1635 cents 52 .. 104 match: 35 SD: 1.1006 cents 53 .. 106 match: 39 SD: 0.9640 cents 54 .. 108 match: 38 SD: 0.9499 cents 55 .. 110 match: 39 SD: 0.9255 cents 56 .. 112 match: 39 SD: 0.9053 cents 57 .. 114 match: 37 SD: 0.9899 cents 58 .. 116 match: 37 SD: 0.9912 cents 59 .. 118 match: 39 SD: 0.9253 cents 60 .. 120 match: 39 SD: 0.9248 cents 61 .. 122 match: 37 SD: 0.9498 cents 62 .. 124 match: 37 SD: 0.9396 cents 63 .. 126 match: 39 SD: 0.8343 cents 64 .. 128 match: 40 SD: 0.8846 cents 65 .. 130 match: 37 SD: 0.8461 cents 66 .. 132 match: 39 SD: 0.8251 cents 67 .. 134 match: 37 SD: 0.8847 cents 68 .. 136 match: 37 SD: 0.7321 cents 69 .. 138 match: 37 SD: 0.8766 cents 70 .. 140 match: 40 SD: 0.7680 cents 71 .. 142 match: 38 SD: 0.8617 cents 72 .. 144 match: 39 SD: 0.7351 cents 75 .. 150 match: 41 SD: 0.7332 cents 76 .. 152 match: 39 SD: 0.8143 cents 77 .. 154 match: 39 SD: 0.6222 cents 78 .. 156 match: 40 SD: 0.7114 cents 79 .. 158 match: 39 SD: 0.7541 cents 80 .. 160 match: 40 SD: 0.6816 cents 82 .. 164 match: 40 SD: 0.7645 cents 83 .. 166 match: 41 SD: 0.6863 cents 84 .. 168 match: 41 SD: 0.5841 cents 85 .. 170 match: 40 SD: 0.6273 cents 86 .. 172 match: 39 SD: 0.7073 cents 87 .. 174 match: 39 SD: 0.7003 cents 88 .. 176 match: 40 SD: 0.5559 cents 89 .. 178 match: 40 SD: 0.5809 cents 90 .. 180 match: 40 SD: 0.5852 cents 91 .. 182 match: 40 SD: 0.5780 cents 92 .. 184 match: 39 SD: 0.6704 cents 94 .. 188 match: 40 SD: 0.6476 cents 95 .. 190 match: 41 SD: 0.5884 cents 96 .. 192 match: 41 SD: 0.5308 cents 97 .. 194 match: 40 SD: 0.5692 cents 98 .. 196 match: 41 SD: 0.4790 cents 100 .. 200 match: 41 SD: 0.4615 cents 102 .. 204 match: 40 SD: 0.4878 cents 107 .. 214 match: 41 SD: 0.4836 cents 112 .. 224 match: 40 SD: 0.5344 cents 113 .. 226 match: 41 SD: 0.5157 cents 114 .. 228 match: 41 SD: 0.5155 cents 115 .. 230 match: 41 SD: 0.5062 cents 116 .. 232 match: 41 SD: 0.4397 cents 120 .. 240 match: 41 SD: 0.4300 cents 125 .. 250 match: 41 SD: 0.4124 cents 131 .. 262 match: 41 SD: 0.3912 cents 140 .. 280 match: 41 SD: 0.3550 cents 143 .. 286 match: 41 SD: 0.3507 cents 156 .. 312 match: 41 SD: 0.3370 cents 158 .. 316 match: 41 SD: 0.3305 cents 161 .. 322 match: 41 SD: 0.3250 cents 166 .. 332 match: 41 SD: 0.3236 cents 168 .. 336 match: 41 SD: 0.3201 cents 169 .. 338 match: 41 SD: 0.3082 cents 175 .. 350 match: 41 SD: 0.3016 cents 179 .. 358 match: 41 SD: 0.2963 cents 184 .. 368 match: 41 SD: 0.2938 cents 186 .. 372 match: 41 SD: 0.2917 cents 188 .. 376 match: 41 SD: 0.2751 cents 197 .. 394 match: 41 SD: 0.2539 cents 201 .. 402 match: 41 SD: 0.2446 cents 205 .. 410 match: 41 SD: 0.2367 cents 222 .. 444 match: 41 SD: 0.2324 cents 229 .. 458 match: 41 SD: 0.2139 cents 241 .. 482 match: 41 SD: 0.2036 cents 245 .. 490 match: 41 SD: 0.1889 cents 263 .. 526 match: 41 SD: 0.1882 cents 271 .. 542 match: 41 SD: 0.1803 cents 282 .. 564 match: 41 SD: 0.1776 cents 290 .. 580 match: 41 SD: 0.1740 cents 299 .. 598 match: 41 SD: 0.1708 cents 301 .. 602 match: 41 SD: 0.1651 cents 304 .. 608 match: 41 SD: 0.1618 cents 322 .. 644 match: 41 SD: 0.1617 cents 329 .. 658 match: 41 SD: 0.1565 cents 330 .. 660 match: 41 SD: 0.1554 cents 331 .. 662 match: 41 SD: 0.1527 cents 345 .. 690 match: 41 SD: 0.1413 cents 346 .. 692 match: 41 SD: 0.1372 cents 354 .. 708 match: 41 SD: 0.1366 cents 370 .. 740 match: 41 SD: 0.1323 cents 388 .. 776 match: 41 SD: 0.1251 cents 394 .. 788 match: 41 SD: 0.1243 cents 415 .. 830 match: 41 SD: 0.1215 cents 442 .. 884 match: 41 SD: 0.1107 cents 450 .. 900 match: 41 SD: 0.1006 cents 504 .. 1008 match: 41 SD: 0.0974 cents 514 .. 1028 match: 41 SD: 0.0972 cents 515 .. 1030 match: 41 SD: 0.0915 cents 540 .. 1080 match: 41 SD: 0.0889 cents 550 .. 1100 match: 41 SD: 0.0863 cents 591 .. 1182 match: 41 SD: 0.0822 cents 593 .. 1186 match: 41 SD: 0.0784 cents