Scala analysis: quart
1/4-comma meantone with a period of 5^(1/4) and a tone generator
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 76.049 cents 76.048999 2: 152.098 cents 152.097999 3: 193.157 cents 193.156857 4: 269.206 cents 269.205856 5: 345.255 cents 345.254855 6: 386.314 cents 386.313714 7: 462.363 cents 462.362713 8: 538.412 cents 538.411712 9: 579.471 cents 579.470571 10: 655.520 cents 655.519570 11: 696.578 cents 696.578428 12: 772.627 cents 772.627428 13: 848.676 cents 848.676427 14: 889.735 cents 889.735285 15: 965.784 cents 965.784285 16: 1041.833 cents 1041.833284 17: 1082.892 cents 1082.892142 18: 1158.941 cents 1158.941142 19: 1234.990 cents 1234.990141 20: 1276.049 cents 1276.048999 21: 1352.098 cents 1352.097999 22: 1393.157 cents 1393.156857 23: 1469.206 cents 1469.205856 24: 1545.255 cents 1545.254855 25: 1586.314 cents 1586.313714 26: 1662.363 cents 1662.362713 27: 1738.412 cents 1738.411712 28: 1779.471 cents 1779.470571 29: 1855.520 cents 1855.519570 30: 1931.569 cents 1931.568569 31: 1972.627 cents 1972.627428 32: 2048.676 cents 2048.676427 33: 2089.735 cents 2089.735285 34: 2165.784 cents 2165.784285 35: 2241.833 cents 2241.833284 36: 2282.892 cents 2282.892142 37: 2358.941 cents 2358.941142 38: 2434.990 cents 2434.990141 39: 2476.049 cents 2476.048999 40: 2552.098 cents 2552.097999 41: 2628.147 cents 2628.146998 42: 2669.206 cents 2669.205856 43: 2745.255 cents 2745.254855 44: 5/1 2786.313714 major 17th
SHOW/INTERVAL
0: 41.0589 cents 41.0589 1: 76.0490 cents 76.0490 2: 76.0490 cents 76.0490 3: 41.0589 cents 41.0589 4: 76.0490 cents 76.0490 5: 76.0490 cents 76.0490 6: 41.0589 cents 41.0589 7: 76.0490 cents 76.0490 8: 76.0490 cents 76.0490 9: 41.0589 cents 41.0589 10: 76.0490 cents 76.0490 11: 41.0589 cents 41.0589 12: 76.0490 cents 76.0490 13: 76.0490 cents 76.0490 14: 41.0589 cents 41.0589 15: 76.0490 cents 76.0490 16: 76.0490 cents 76.0490 17: 41.0589 cents 41.0589 18: 76.0490 cents 76.0490 19: 76.0490 cents 76.0490 20: 41.0589 cents 41.0589 21: 76.0490 cents 76.0490 22: 41.0589 cents 41.0589 23: 76.0490 cents 76.0490 24: 76.0490 cents 76.0490 25: 41.0589 cents 41.0589 26: 76.0490 cents 76.0490 27: 76.0490 cents 76.0490 28: 41.0589 cents 41.0589 29: 76.0490 cents 76.0490 30: 76.0490 cents 76.0490 31: 41.0589 cents 41.0589 32: 76.0490 cents 76.0490 33: 41.0589 cents 41.0589 34: 76.0490 cents 76.0490 35: 76.0490 cents 76.0490 36: 41.0589 cents 41.0589 37: 76.0490 cents 76.0490 38: 76.0490 cents 76.0490 39: 41.0589 cents 41.0589 40: 76.0490 cents 76.0490 41: 76.0490 cents 76.0490 42: 41.0589 cents 41.0589 43: 76.0490 cents 76.0490 44: 41.0589 cents 41.0589
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 16 41.05886 cents 1: 28 76.04900 cents 2: 32 117.10786 cents 2: 12 152.09800 cents 3: 4 158.16672 cents 3: 40 193.15686 cents 4: 20 234.21572 cents 4: 24 269.20586 cents 5: 36 310.26471 cents 5: 8 345.25486 cents 6: 8 351.32357 cents 6: 36 386.31371 cents 7: 24 427.37257 cents 7: 20 462.36271 cents 8: 40 503.42157 cents 8: 4 538.41171 cents 9: 12 544.48043 cents 9: 32 579.47057 cents 10: 28 620.52943 cents 10: 16 655.51957 cents 11: 44 696.57843 cents 12: 16 737.63729 cents 12: 28 772.62743 cents 13: 32 813.68629 cents 13: 12 848.67643 cents 14: 4 854.74514 cents 14: 40 889.73529 cents 15: 20 930.79414 cents 15: 24 965.78428 cents 16: 36 1006.84314 cents 16: 8 1041.83328 cents 17: 8 1047.90200 cents 17: 36 1082.89214 cents 18: 24 1123.95100 cents 18: 20 1158.94114 cents 19: 40 1200.00000 cents 19: 4 1234.99014 cents 20: 12 1241.05886 cents 20: 32 1276.04900 cents 21: 28 1317.10786 cents 21: 16 1352.09800 cents 22: 44 1393.15686 cents 23: 16 1434.21572 cents 23: 28 1469.20586 cents 24: 32 1510.26471 cents 24: 12 1545.25486 cents 25: 4 1551.32357 cents 25: 40 1586.31371 cents 26: 20 1627.37257 cents 26: 24 1662.36271 cents 27: 36 1703.42157 cents 27: 8 1738.41171 cents 28: 8 1744.48043 cents 28: 36 1779.47057 cents 29: 24 1820.52943 cents 29: 20 1855.51957 cents 30: 40 1896.57843 cents 30: 4 1931.56857 cents 31: 12 1937.63729 cents 31: 32 1972.62743 cents 32: 28 2013.68629 cents 32: 16 2048.67643 cents 33: 44 2089.73529 cents 34: 16 2130.79414 cents 34: 28 2165.78428 cents 35: 32 2206.84314 cents 35: 12 2241.83328 cents 36: 4 2247.90200 cents 36: 40 2282.89214 cents 37: 20 2323.95100 cents 37: 24 2358.94114 cents 38: 36 2400.00000 cents 38: 8 2434.99014 cents 39: 8 2441.05886 cents 39: 36 2476.04900 cents 40: 24 2517.10786 cents 40: 20 2552.09800 cents 41: 40 2593.15686 cents 41: 4 2628.14700 cents 42: 12 2634.21572 cents 42: 32 2669.20586 cents 43: 28 2710.26471 cents 43: 16 2745.25486 cents Highest number of different intervals for one interval class: 2 Average number of different intervals per interval class: 1.93023 = 83/43
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 0.0 : 76.0 152.1 193.2 269.2 345.3 386.3 462.4 538.4 579.5 655.5 696.6 772.6 848.7 889.7 965.8 1041.8 1082.9 1158.9 1235.0 1276.0 1352.1 1393.2 1469.2 1545.3 1586.3 1662.4 1738.4 1779.5 1855.5 1931.6 1972.6 2048.7 2089.7 2165.8 2241.8 2282.9 2358.9 2435.0 2476.0 2552.1 2628.1 2669.2 2745.3 2786.3 76.0 : 76.0 117.1 193.2 269.2 310.3 386.3 462.4 503.4 579.5 620.5 696.6 772.6 813.7 889.7 965.8 1006.8 1082.9 1158.9 1200.0 1276.0 1317.1 1393.2 1469.2 1510.3 1586.3 1662.4 1703.4 1779.5 1855.5 1896.6 1972.6 2013.7 2089.7 2165.8 2206.8 2282.9 2358.9 2400.0 2476.0 2552.1 2593.2 2669.2 2710.3 2786.3 152.1 : 41.1 117.1 193.2 234.2 310.3 386.3 427.4 503.4 544.5 620.5 696.6 737.6 813.7 889.7 930.8 1006.8 1082.9 1124.0 1200.0 1241.1 1317.1 1393.2 1434.2 1510.3 1586.3 1627.4 1703.4 1779.5 1820.5 1896.6 1937.6 2013.7 2089.7 2130.8 2206.8 2282.9 2324.0 2400.0 2476.0 2517.1 2593.2 2634.2 2710.3 2786.3 193.2 : 76.0 152.1 193.2 269.2 345.3 386.3 462.4 503.4 579.5 655.5 696.6 772.6 848.7 889.7 965.8 1041.8 1082.9 1158.9 1200.0 1276.0 1352.1 1393.2 1469.2 1545.3 1586.3 1662.4 1738.4 1779.5 1855.5 1896.6 1972.6 2048.7 2089.7 2165.8 2241.8 2282.9 2358.9 2435.0 2476.0 2552.1 2593.2 2669.2 2745.3 2786.3 269.2 : 76.0 117.1 193.2 269.2 310.3 386.3 427.4 503.4 579.5 620.5 696.6 772.6 813.7 889.7 965.8 1006.8 1082.9 1124.0 1200.0 1276.0 1317.1 1393.2 1469.2 1510.3 1586.3 1662.4 1703.4 1779.5 1820.5 1896.6 1972.6 2013.7 2089.7 2165.8 2206.8 2282.9 2358.9 2400.0 2476.0 2517.1 2593.2 2669.2 2710.3 2786.3 345.3 : 41.1 117.1 193.2 234.2 310.3 351.3 427.4 503.4 544.5 620.5 696.6 737.6 813.7 889.7 930.8 1006.8 1047.9 1124.0 1200.0 1241.1 1317.1 1393.2 1434.2 1510.3 1586.3 1627.4 1703.4 1744.5 1820.5 1896.6 1937.6 2013.7 2089.7 2130.8 2206.8 2282.9 2324.0 2400.0 2441.1 2517.1 2593.2 2634.2 2710.3 2786.3 386.3 : 76.0 152.1 193.2 269.2 310.3 386.3 462.4 503.4 579.5 655.5 696.6 772.6 848.7 889.7 965.8 1006.8 1082.9 1158.9 1200.0 1276.0 1352.1 1393.2 1469.2 1545.3 1586.3 1662.4 1703.4 1779.5 1855.5 1896.6 1972.6 2048.7 2089.7 2165.8 2241.8 2282.9 2358.9 2400.0 2476.0 2552.1 2593.2 2669.2 2745.3 2786.3 462.4 : 76.0 117.1 193.2 234.2 310.3 386.3 427.4 503.4 579.5 620.5 696.6 772.6 813.7 889.7 930.8 1006.8 1082.9 1124.0 1200.0 1276.0 1317.1 1393.2 1469.2 1510.3 1586.3 1627.4 1703.4 1779.5 1820.5 1896.6 1972.6 2013.7 2089.7 2165.8 2206.8 2282.9 2324.0 2400.0 2476.0 2517.1 2593.2 2669.2 2710.3 2786.3 538.4 : 41.1 117.1 158.2 234.2 310.3 351.3 427.4 503.4 544.5 620.5 696.6 737.6 813.7 854.7 930.8 1006.8 1047.9 1124.0 1200.0 1241.1 1317.1 1393.2 1434.2 1510.3 1551.3 1627.4 1703.4 1744.5 1820.5 1896.6 1937.6 2013.7 2089.7 2130.8 2206.8 2247.9 2324.0 2400.0 2441.1 2517.1 2593.2 2634.2 2710.3 2786.3 579.5 : 76.0 117.1 193.2 269.2 310.3 386.3 462.4 503.4 579.5 655.5 696.6 772.6 813.7 889.7 965.8 1006.8 1082.9 1158.9 1200.0 1276.0 1352.1 1393.2 1469.2 1510.3 1586.3 1662.4 1703.4 1779.5 1855.5 1896.6 1972.6 2048.7 2089.7 2165.8 2206.8 2282.9 2358.9 2400.0 2476.0 2552.1 2593.2 2669.2 2745.3 2786.3 655.5 : 41.1 117.1 193.2 234.2 310.3 386.3 427.4 503.4 579.5 620.5 696.6 737.6 813.7 889.7 930.8 1006.8 1082.9 1124.0 1200.0 1276.0 1317.1 1393.2 1434.2 1510.3 1586.3 1627.4 1703.4 1779.5 1820.5 1896.6 1972.6 2013.7 2089.7 2130.8 2206.8 2282.9 2324.0 2400.0 2476.0 2517.1 2593.2 2669.2 2710.3 2786.3 696.6 : 76.0 152.1 193.2 269.2 345.3 386.3 462.4 538.4 579.5 655.5 696.6 772.6 848.7 889.7 965.8 1041.8 1082.9 1158.9 1235.0 1276.0 1352.1 1393.2 1469.2 1545.3 1586.3 1662.4 1738.4 1779.5 1855.5 1931.6 1972.6 2048.7 2089.7 2165.8 2241.8 2282.9 2358.9 2435.0 2476.0 2552.1 2628.1 2669.2 2745.3 2786.3 772.6 : 76.0 117.1 193.2 269.2 310.3 386.3 462.4 503.4 579.5 620.5 696.6 772.6 813.7 889.7 965.8 1006.8 1082.9 1158.9 1200.0 1276.0 1317.1 1393.2 1469.2 1510.3 1586.3 1662.4 1703.4 1779.5 1855.5 1896.6 1972.6 2013.7 2089.7 2165.8 2206.8 2282.9 2358.9 2400.0 2476.0 2552.1 2593.2 2669.2 2710.3 2786.3 848.7 : 41.1 117.1 193.2 234.2 310.3 386.3 427.4 503.4 544.5 620.5 696.6 737.6 813.7 889.7 930.8 1006.8 1082.9 1124.0 1200.0 1241.1 1317.1 1393.2 1434.2 1510.3 1586.3 1627.4 1703.4 1779.5 1820.5 1896.6 1937.6 2013.7 2089.7 2130.8 2206.8 2282.9 2324.0 2400.0 2476.0 2517.1 2593.2 2634.2 2710.3 2786.3 889.7 : 76.0 152.1 193.2 269.2 345.3 386.3 462.4 503.4 579.5 655.5 696.6 772.6 848.7 889.7 965.8 1041.8 1082.9 1158.9 1200.0 1276.0 1352.1 1393.2 1469.2 1545.3 1586.3 1662.4 1738.4 1779.5 1855.5 1896.6 1972.6 2048.7 2089.7 2165.8 2241.8 2282.9 2358.9 2435.0 2476.0 2552.1 2593.2 2669.2 2745.3 2786.3 965.8 : 76.0 117.1 193.2 269.2 310.3 386.3 427.4 503.4 579.5 620.5 696.6 772.6 813.7 889.7 965.8 1006.8 1082.9 1124.0 1200.0 1276.0 1317.1 1393.2 1469.2 1510.3 1586.3 1662.4 1703.4 1779.5 1820.5 1896.6 1972.6 2013.7 2089.7 2165.8 2206.8 2282.9 2358.9 2400.0 2476.0 2517.1 2593.2 2669.2 2710.3 2786.3 1041.8: 41.1 117.1 193.2 234.2 310.3 351.3 427.4 503.4 544.5 620.5 696.6 737.6 813.7 889.7 930.8 1006.8 1047.9 1124.0 1200.0 1241.1 1317.1 1393.2 1434.2 1510.3 1586.3 1627.4 1703.4 1744.5 1820.5 1896.6 1937.6 2013.7 2089.7 2130.8 2206.8 2282.9 2324.0 2400.0 2441.1 2517.1 2593.2 2634.2 2710.3 2786.3 1082.9: 76.0 152.1 193.2 269.2 310.3 386.3 462.4 503.4 579.5 655.5 696.6 772.6 848.7 889.7 965.8 1006.8 1082.9 1158.9 1200.0 1276.0 1352.1 1393.2 1469.2 1545.3 1586.3 1662.4 1703.4 1779.5 1855.5 1896.6 1972.6 2048.7 2089.7 2165.8 2241.8 2282.9 2358.9 2400.0 2476.0 2552.1 2593.2 2669.2 2745.3 2786.3 1158.9: 76.0 117.1 193.2 234.2 310.3 386.3 427.4 503.4 579.5 620.5 696.6 772.6 813.7 889.7 930.8 1006.8 1082.9 1124.0 1200.0 1276.0 1317.1 1393.2 1469.2 1510.3 1586.3 1627.4 1703.4 1779.5 1820.5 1896.6 1972.6 2013.7 2089.7 2165.8 2206.8 2282.9 2324.0 2400.0 2476.0 2517.1 2593.2 2669.2 2710.3 2786.3 1235.0: 41.1 117.1 158.2 234.2 310.3 351.3 427.4 503.4 544.5 620.5 696.6 737.6 813.7 854.7 930.8 1006.8 1047.9 1124.0 1200.0 1241.1 1317.1 1393.2 1434.2 1510.3 1551.3 1627.4 1703.4 1744.5 1820.5 1896.6 1937.6 2013.7 2089.7 2130.8 2206.8 2247.9 2324.0 2400.0 2441.1 2517.1 2593.2 2634.2 2710.3 2786.3 1276.0: 76.0 117.1 193.2 269.2 310.3 386.3 462.4 503.4 579.5 655.5 696.6 772.6 813.7 889.7 965.8 1006.8 1082.9 1158.9 1200.0 1276.0 1352.1 1393.2 1469.2 1510.3 1586.3 1662.4 1703.4 1779.5 1855.5 1896.6 1972.6 2048.7 2089.7 2165.8 2206.8 2282.9 2358.9 2400.0 2476.0 2552.1 2593.2 2669.2 2745.3 2786.3 1352.1: 41.1 117.1 193.2 234.2 310.3 386.3 427.4 503.4 579.5 620.5 696.6 737.6 813.7 889.7 930.8 1006.8 1082.9 1124.0 1200.0 1276.0 1317.1 1393.2 1434.2 1510.3 1586.3 1627.4 1703.4 1779.5 1820.5 1896.6 1972.6 2013.7 2089.7 2130.8 2206.8 2282.9 2324.0 2400.0 2476.0 2517.1 2593.2 2669.2 2710.3 2786.3 1393.2: 76.0 152.1 193.2 269.2 345.3 386.3 462.4 538.4 579.5 655.5 696.6 772.6 848.7 889.7 965.8 1041.8 1082.9 1158.9 1235.0 1276.0 1352.1 1393.2 1469.2 1545.3 1586.3 1662.4 1738.4 1779.5 1855.5 1931.6 1972.6 2048.7 2089.7 2165.8 2241.8 2282.9 2358.9 2435.0 2476.0 2552.1 2628.1 2669.2 2745.3 2786.3 1469.2: 76.0 117.1 193.2 269.2 310.3 386.3 462.4 503.4 579.5 620.5 696.6 772.6 813.7 889.7 965.8 1006.8 1082.9 1158.9 1200.0 1276.0 1317.1 1393.2 1469.2 1510.3 1586.3 1662.4 1703.4 1779.5 1855.5 1896.6 1972.6 2013.7 2089.7 2165.8 2206.8 2282.9 2358.9 2400.0 2476.0 2552.1 2593.2 2669.2 2710.3 2786.3 1545.3: 41.1 117.1 193.2 234.2 310.3 386.3 427.4 503.4 544.5 620.5 696.6 737.6 813.7 889.7 930.8 1006.8 1082.9 1124.0 1200.0 1241.1 1317.1 1393.2 1434.2 1510.3 1586.3 1627.4 1703.4 1779.5 1820.5 1896.6 1937.6 2013.7 2089.7 2130.8 2206.8 2282.9 2324.0 2400.0 2476.0 2517.1 2593.2 2634.2 2710.3 2786.3 1586.3: 76.0 152.1 193.2 269.2 345.3 386.3 462.4 503.4 579.5 655.5 696.6 772.6 848.7 889.7 965.8 1041.8 1082.9 1158.9 1200.0 1276.0 1352.1 1393.2 1469.2 1545.3 1586.3 1662.4 1738.4 1779.5 1855.5 1896.6 1972.6 2048.7 2089.7 2165.8 2241.8 2282.9 2358.9 2435.0 2476.0 2552.1 2593.2 2669.2 2745.3 2786.3 1662.4: 76.0 117.1 193.2 269.2 310.3 386.3 427.4 503.4 579.5 620.5 696.6 772.6 813.7 889.7 965.8 1006.8 1082.9 1124.0 1200.0 1276.0 1317.1 1393.2 1469.2 1510.3 1586.3 1662.4 1703.4 1779.5 1820.5 1896.6 1972.6 2013.7 2089.7 2165.8 2206.8 2282.9 2358.9 2400.0 2476.0 2517.1 2593.2 2669.2 2710.3 2786.3 1738.4: 41.1 117.1 193.2 234.2 310.3 351.3 427.4 503.4 544.5 620.5 696.6 737.6 813.7 889.7 930.8 1006.8 1047.9 1124.0 1200.0 1241.1 1317.1 1393.2 1434.2 1510.3 1586.3 1627.4 1703.4 1744.5 1820.5 1896.6 1937.6 2013.7 2089.7 2130.8 2206.8 2282.9 2324.0 2400.0 2441.1 2517.1 2593.2 2634.2 2710.3 2786.3 1779.5: 76.0 152.1 193.2 269.2 310.3 386.3 462.4 503.4 579.5 655.5 696.6 772.6 848.7 889.7 965.8 1006.8 1082.9 1158.9 1200.0 1276.0 1352.1 1393.2 1469.2 1545.3 1586.3 1662.4 1703.4 1779.5 1855.5 1896.6 1972.6 2048.7 2089.7 2165.8 2241.8 2282.9 2358.9 2400.0 2476.0 2552.1 2593.2 2669.2 2745.3 2786.3 1855.5: 76.0 117.1 193.2 234.2 310.3 386.3 427.4 503.4 579.5 620.5 696.6 772.6 813.7 889.7 930.8 1006.8 1082.9 1124.0 1200.0 1276.0 1317.1 1393.2 1469.2 1510.3 1586.3 1627.4 1703.4 1779.5 1820.5 1896.6 1972.6 2013.7 2089.7 2165.8 2206.8 2282.9 2324.0 2400.0 2476.0 2517.1 2593.2 2669.2 2710.3 2786.3 1931.6: 41.1 117.1 158.2 234.2 310.3 351.3 427.4 503.4 544.5 620.5 696.6 737.6 813.7 854.7 930.8 1006.8 1047.9 1124.0 1200.0 1241.1 1317.1 1393.2 1434.2 1510.3 1551.3 1627.4 1703.4 1744.5 1820.5 1896.6 1937.6 2013.7 2089.7 2130.8 2206.8 2247.9 2324.0 2400.0 2441.1 2517.1 2593.2 2634.2 2710.3 2786.3 1972.6: 76.0 117.1 193.2 269.2 310.3 386.3 462.4 503.4 579.5 655.5 696.6 772.6 813.7 889.7 965.8 1006.8 1082.9 1158.9 1200.0 1276.0 1352.1 1393.2 1469.2 1510.3 1586.3 1662.4 1703.4 1779.5 1855.5 1896.6 1972.6 2048.7 2089.7 2165.8 2206.8 2282.9 2358.9 2400.0 2476.0 2552.1 2593.2 2669.2 2745.3 2786.3 2048.7: 41.1 117.1 193.2 234.2 310.3 386.3 427.4 503.4 579.5 620.5 696.6 737.6 813.7 889.7 930.8 1006.8 1082.9 1124.0 1200.0 1276.0 1317.1 1393.2 1434.2 1510.3 1586.3 1627.4 1703.4 1779.5 1820.5 1896.6 1972.6 2013.7 2089.7 2130.8 2206.8 2282.9 2324.0 2400.0 2476.0 2517.1 2593.2 2669.2 2710.3 2786.3 2089.7: 76.0 152.1 193.2 269.2 345.3 386.3 462.4 538.4 579.5 655.5 696.6 772.6 848.7 889.7 965.8 1041.8 1082.9 1158.9 1235.0 1276.0 1352.1 1393.2 1469.2 1545.3 1586.3 1662.4 1738.4 1779.5 1855.5 1931.6 1972.6 2048.7 2089.7 2165.8 2241.8 2282.9 2358.9 2435.0 2476.0 2552.1 2628.1 2669.2 2745.3 2786.3 2165.8: 76.0 117.1 193.2 269.2 310.3 386.3 462.4 503.4 579.5 620.5 696.6 772.6 813.7 889.7 965.8 1006.8 1082.9 1158.9 1200.0 1276.0 1317.1 1393.2 1469.2 1510.3 1586.3 1662.4 1703.4 1779.5 1855.5 1896.6 1972.6 2013.7 2089.7 2165.8 2206.8 2282.9 2358.9 2400.0 2476.0 2552.1 2593.2 2669.2 2710.3 2786.3 2241.8: 41.1 117.1 193.2 234.2 310.3 386.3 427.4 503.4 544.5 620.5 696.6 737.6 813.7 889.7 930.8 1006.8 1082.9 1124.0 1200.0 1241.1 1317.1 1393.2 1434.2 1510.3 1586.3 1627.4 1703.4 1779.5 1820.5 1896.6 1937.6 2013.7 2089.7 2130.8 2206.8 2282.9 2324.0 2400.0 2476.0 2517.1 2593.2 2634.2 2710.3 2786.3 2282.9: 76.0 152.1 193.2 269.2 345.3 386.3 462.4 503.4 579.5 655.5 696.6 772.6 848.7 889.7 965.8 1041.8 1082.9 1158.9 1200.0 1276.0 1352.1 1393.2 1469.2 1545.3 1586.3 1662.4 1738.4 1779.5 1855.5 1896.6 1972.6 2048.7 2089.7 2165.8 2241.8 2282.9 2358.9 2435.0 2476.0 2552.1 2593.2 2669.2 2745.3 2786.3 2358.9: 76.0 117.1 193.2 269.2 310.3 386.3 427.4 503.4 579.5 620.5 696.6 772.6 813.7 889.7 965.8 1006.8 1082.9 1124.0 1200.0 1276.0 1317.1 1393.2 1469.2 1510.3 1586.3 1662.4 1703.4 1779.5 1820.5 1896.6 1972.6 2013.7 2089.7 2165.8 2206.8 2282.9 2358.9 2400.0 2476.0 2517.1 2593.2 2669.2 2710.3 2786.3 2435.0: 41.1 117.1 193.2 234.2 310.3 351.3 427.4 503.4 544.5 620.5 696.6 737.6 813.7 889.7 930.8 1006.8 1047.9 1124.0 1200.0 1241.1 1317.1 1393.2 1434.2 1510.3 1586.3 1627.4 1703.4 1744.5 1820.5 1896.6 1937.6 2013.7 2089.7 2130.8 2206.8 2282.9 2324.0 2400.0 2441.1 2517.1 2593.2 2634.2 2710.3 2786.3 2476.0: 76.0 152.1 193.2 269.2 310.3 386.3 462.4 503.4 579.5 655.5 696.6 772.6 848.7 889.7 965.8 1006.8 1082.9 1158.9 1200.0 1276.0 1352.1 1393.2 1469.2 1545.3 1586.3 1662.4 1703.4 1779.5 1855.5 1896.6 1972.6 2048.7 2089.7 2165.8 2241.8 2282.9 2358.9 2400.0 2476.0 2552.1 2593.2 2669.2 2745.3 2786.3 2552.1: 76.0 117.1 193.2 234.2 310.3 386.3 427.4 503.4 579.5 620.5 696.6 772.6 813.7 889.7 930.8 1006.8 1082.9 1124.0 1200.0 1276.0 1317.1 1393.2 1469.2 1510.3 1586.3 1627.4 1703.4 1779.5 1820.5 1896.6 1972.6 2013.7 2089.7 2165.8 2206.8 2282.9 2324.0 2400.0 2476.0 2517.1 2593.2 2669.2 2710.3 2786.3 2628.1: 41.1 117.1 158.2 234.2 310.3 351.3 427.4 503.4 544.5 620.5 696.6 737.6 813.7 854.7 930.8 1006.8 1047.9 1124.0 1200.0 1241.1 1317.1 1393.2 1434.2 1510.3 1551.3 1627.4 1703.4 1744.5 1820.5 1896.6 1937.6 2013.7 2089.7 2130.8 2206.8 2247.9 2324.0 2400.0 2441.1 2517.1 2593.2 2634.2 2710.3 2786.3 2669.2: 76.0 117.1 193.2 269.2 310.3 386.3 462.4 503.4 579.5 655.5 696.6 772.6 813.7 889.7 965.8 1006.8 1082.9 1158.9 1200.0 1276.0 1352.1 1393.2 1469.2 1510.3 1586.3 1662.4 1703.4 1779.5 1855.5 1896.6 1972.6 2048.7 2089.7 2165.8 2206.8 2282.9 2358.9 2400.0 2476.0 2552.1 2593.2 2669.2 2745.3 2786.3 2745.3: 41.1 117.1 193.2 234.2 310.3 386.3 427.4 503.4 579.5 620.5 696.6 737.6 813.7 889.7 930.8 1006.8 1082.9 1124.0 1200.0 1276.0 1317.1 1393.2 1434.2 1510.3 1586.3 1627.4 1703.4 1779.5 1820.5 1896.6 1972.6 2013.7 2089.7 2130.8 2206.8 2282.9 2324.0 2400.0 2476.0 2517.1 2593.2 2669.2 2710.3 2786.3 2786.3
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 41.0589 .. 76.0490 cents 34.99014 cents 41.05886 cents 2: 117.1079 .. 152.0980 cents 34.99014 cents 41.05886 cents 3: 158.1667 .. 193.1569 cents 34.99014 cents 6.06872 cents 4: 234.2157 .. 269.2059 cents 34.99014 cents 41.05886 cents 5: 310.2647 .. 345.2549 cents 34.99014 cents 41.05886 cents 6: 351.3236 .. 386.3137 cents 34.99014 cents 6.06872 cents 7: 427.3726 .. 462.3627 cents 34.99014 cents 41.05886 cents 8: 503.4216 .. 538.4117 cents 34.99014 cents 41.05886 cents 9: 544.4804 .. 579.4706 cents 34.99014 cents 6.06872 cents 10: 620.5294 .. 655.5196 cents 34.99014 cents 41.05886 cents 11: 696.5784 .. 696.5784 cents 1/1, 0.0000 cents 41.05886 cents 12: 737.6373 .. 772.6274 cents 34.99014 cents 41.05886 cents 13: 813.6863 .. 848.6764 cents 34.99014 cents 41.05886 cents 14: 854.7451 .. 889.7353 cents 34.99014 cents 6.06872 cents 15: 930.7941 .. 965.7843 cents 34.99014 cents 41.05886 cents 16: 1006.8431 .. 1041.8333 cents 34.99014 cents 41.05886 cents 17: 1047.9020 .. 1082.8921 cents 34.99014 cents 6.06872 cents 18: 1123.9510 .. 1158.9411 cents 34.99014 cents 41.05886 cents 19: 1200.0000 .. 1234.9901 cents 34.99014 cents 41.05886 cents 20: 1241.0589 .. 1276.0490 cents 34.99014 cents 6.06872 cents 21: 1317.1079 .. 1352.0980 cents 34.99014 cents 41.05886 cents 22: 1393.1569 .. 1393.1569 cents 1/1, 0.0000 cents 41.05886 cents 23: 1434.2157 .. 1469.2059 cents 34.99014 cents 41.05886 cents 24: 1510.2647 .. 1545.2549 cents 34.99014 cents 41.05886 cents 25: 1551.3236 .. 1586.3137 cents 34.99014 cents 6.06872 cents 26: 1627.3726 .. 1662.3627 cents 34.99014 cents 41.05886 cents 27: 1703.4216 .. 1738.4117 cents 34.99014 cents 41.05886 cents 28: 1744.4804 .. 1779.4706 cents 34.99014 cents 6.06872 cents 29: 1820.5294 .. 1855.5196 cents 34.99014 cents 41.05886 cents 30: 1896.5784 .. 1931.5686 cents 34.99014 cents 41.05886 cents 31: 1937.6373 .. 1972.6274 cents 34.99014 cents 6.06872 cents 32: 2013.6863 .. 2048.6764 cents 34.99014 cents 41.05886 cents 33: 2089.7353 .. 2089.7353 cents 1/1, 0.0000 cents 41.05886 cents 34: 2130.7941 .. 2165.7843 cents 34.99014 cents 41.05886 cents 35: 2206.8431 .. 2241.8333 cents 34.99014 cents 41.05886 cents 36: 2247.9020 .. 2282.8921 cents 34.99014 cents 6.06872 cents 37: 2323.9510 .. 2358.9411 cents 34.99014 cents 41.05886 cents 38: 2400.0000 .. 2434.9901 cents 34.99014 cents 41.05886 cents 39: 2441.0589 .. 2476.0490 cents 34.99014 cents 6.06872 cents 40: 2517.1079 .. 2552.0980 cents 34.99014 cents 41.05886 cents 41: 2593.1569 .. 2628.1470 cents 34.99014 cents 41.05886 cents 42: 2634.2157 .. 2669.2059 cents 34.99014 cents 6.06872 cents 43: 2710.2647 .. 2745.2549 cents 34.99014 cents 41.05886 cents
SHOW DATA
Number of notes : 44 -- Interval properties -- Smallest interval : 41.05886 cents, class 1 Average step (divided formal octave): 63.3253 cents Largest one step interval : 76.04900 cents Average / Smallest step : 1.542306 Largest / Average step : 1.200926 Largest / Smallest step : 1.852195 Median interval of one step : 76.04900 cents, amount: 28 Most common interval of one step : 76.04900 cents, amount: 28 Least squares average step : 63.85666 cents, oct.: 2809.69289 cents Scale is strictly proper Scale has 4 repeating blocks of 11 notes Blocks have Myhill's property chromas: 34.99014 cents and 6.06872 cents, ratio: 5.765657 generators: 3 of 193.15686 cents and 503.42157 cents ET pair of linear temperament : 22&36 Scale is maximally even for L / S <= 2 Scale is distributional even Step pattern alph. order: AABAABAABABAABAABAABABAABAABAABABAABAABAABAB Step pattern size order : LLSLLSLLSLSLLSLLSLLSLSLLSLLSLLSLSLLSLLSLLSLS Scale is a Constant Structure, by a margin of 6.06872 cents Scale diversity :-0.155293 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.497686 Number of different interval sizes : 83 = 1.93023 / class Number of one step interval sizes : 2 Highest interval variety : 2 Mean interval variety : 1.93023 = 83/43 Median interval variety : 2 Lowest interval variety : 1 Smallest interval difference : 6.06872 cents Most common triad is 0.0 696.578 1393.157 cents, amount: 44 Number of recognisable fifths : 44, average 696.5784 cents Number of recognisable fourths : 40, average 503.4216 cents Scale contains two identical disjunct "tetrachords" of 8 notes Best minor thirds form a closed circle Formal octave complements present : 4 = 9.0909% 2/1 octave complements present : 0 = 0.0000% Limited transpositions : 11 22 33 Limited inverse transpositions : 8 19 30 41 Inversional symmetry on degrees : 4 15 26 37 Inversional symmetry on intervals : 9-10 20-21 31-32 42-43 -- Rational properties -- Prime limit : 5 (not all pitches rational)
FIT/MODE
44: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 SP B ME I SD: 18.8186 c. M: 31.8092 c. 48: 1 2 0 2 1 1 1 1 1 1 1 1 2 0 2 1 1 1 1 1 1 1 1 2 0 2 1 1 1 1 1 1 1 1 2 0 2 1 1 1 1 1 1 1 P B D3 S SD: 15.2948 c. M:-22.0466 c. 52: 1 2 1 1 1 1 2 1 1 1 1 1 2 1 1 1 1 2 1 1 1 1 1 2 1 1 1 1 2 1 1 1 1 1 2 1 1 1 1 2 1 1 1 1 P B ME S SD: 14.7029 c. M: 23.7571 c. 56: 2 1 1 1 2 1 1 2 1 1 1 2 1 1 1 2 1 1 2 1 1 1 2 1 1 1 2 1 1 2 1 1 1 2 1 1 1 2 1 1 2 1 1 1 P B ME S SD: 12.9108 c. M:-23.4622 c. 63: 2 1 1 2 2 1 1 2 1 2 1 1 2 1 2 2 0 2 2 1 2 0 2 2 1 2 1 1 2 2 1 1 1 2 2 1 1 2 1 2 1 1 2 1 N D3 SD: 12.7788 c. M: 22.1136 c. 68: 2 2 1 2 1 1 2 2 1 2 1 2 2 1 2 1 1 2 2 1 2 1 2 2 1 2 1 1 2 2 1 2 1 2 2 1 2 1 1 2 2 1 2 1 P B D3 SD: 11.4266 c. M:-17.6206 c. 72: 2 2 1 2 2 1 2 2 1 2 1 2 2 1 2 2 1 2 2 1 2 1 2 2 1 2 2 1 2 2 1 2 1 2 2 1 2 2 1 2 2 1 2 1 P B ME S SD: 1.9946 c. M:-3.3715 c. 260: 7 7 4 7 7 4 7 7 4 7 4 7 7 4 7 7 4 7 7 4 7 4 7 7 4 7 7 4 7 7 4 7 4 7 7 4 7 7 4 7 7 4 7 4 SP B DE S SD: 1.5276 c. M: 2.5822 c. 332: 9 9 5 9 9 5 9 9 5 9 5 9 9 5 9 9 5 9 9 5 9 5 9 9 5 9 9 5 9 9 5 9 5 9 9 5 9 9 5 9 9 5 9 5 SP B DE S SD: 0.7638 c. M: 1.2910 c. 404: 11 11 6 11 11 6 11 11 6 11 6 11 11 6 11 11 6 11 11 6 11 6 11 11 6 11 11 6 11 11 6 11 6 11 11 6 11 11 6 11 11 6 11 6 SP B DE S SD: 0.2722 c. M: 0.4601 c. 476: 13 13 7 13 13 7 13 13 7 13 7 13 13 7 13 13 7 13 13 7 13 7 13 13 7 13 13 7 13 13 7 13 7 13 13 7 13 13 7 13 13 7 13 7 SP B DE S SD: 0.0707 c. M:-0.1195 c. 1356: 37 37 20 37 37 20 37 37 20 37 20 37 37 20 37 37 20 37 37 20 37 20 37 37 20 37 37 20 37 37 20 37 20 37 37 20 37 37 20 37 37 20 37 20 SP B DE S SD: 0.0315 c. M: 0.0532 c. 1832: 50 50 27 50 50 27 50 50 27 50 27 50 50 27 50 50 27 50 50 27 50 27 50 50 27 50 50 27 50 50 27 50 27 50 50 27 50 50 27 50 50 27 50 27 SP B DE S SD: 0.0049 c. M: 0.0083 c.
FIT/HARMONIC
1 .. 5 match: 4 H SD: 14.4170 cents 2 .. 10 match: 8 H SD: 7.8573 cents 3 .. 15 match: 12 H SD: 6.5513 cents 4 .. 20 match: 16 H SD: 4.8311 cents 5 .. 25 match: 20 H SD: 5.4536 cents 6 .. 30 match: 24 H SD: 4.0685 cents 7 .. 35 match: 25 SD: 4.8873 cents 8 .. 40 match: 28 SD: 2.9075 cents 9 .. 45 match: 31 SD: 3.1779 cents 10 .. 50 match: 31 SD: 3.1849 cents 11 .. 55 match: 35 SD: 2.6847 cents 12 .. 60 match: 37 SD: 2.4425 cents 13 .. 65 match: 37 SD: 2.6891 cents 14 .. 70 match: 36 SD: 2.6751 cents 15 .. 75 match: 39 SD: 2.6904 cents 16 .. 80 match: 40 SD: 1.8664 cents 17 .. 85 match: 39 SD: 2.1316 cents 18 .. 90 match: 41 SD: 1.8171 cents 19 .. 95 match: 42 SD: 2.0002 cents 20 .. 100 match: 41 SD: 1.7076 cents 21 .. 105 match: 40 SD: 1.8013 cents 22 .. 110 match: 44 SD: 1.5892 cents 23 .. 115 match: 42 SD: 1.3386 cents 25 .. 125 match: 42 SD: 1.3586 cents 28 .. 140 match: 43 SD: 1.2949 cents 29 .. 145 match: 43 SD: 1.5173 cents 30 .. 150 match: 44 SD: 1.3087 cents 32 .. 160 match: 44 SD: 1.2221 cents 33 .. 165 match: 44 SD: 1.1959 cents 34 .. 170 match: 43 SD: 1.3050 cents 35 .. 175 match: 44 SD: 1.1216 cents 36 .. 180 match: 44 SD: 1.0157 cents 40 .. 200 match: 44 SD: 0.9667 cents 41 .. 205 match: 44 SD: 0.8408 cents 43 .. 215 match: 44 SD: 0.8069 cents 46 .. 230 match: 44 SD: 0.7767 cents 52 .. 260 match: 44 SD: 0.6694 cents 59 .. 295 match: 44 SD: 0.6541 cents 60 .. 300 match: 44 SD: 0.6364 cents 63 .. 315 match: 44 SD: 0.5809 cents 65 .. 325 match: 44 SD: 0.5515 cents 68 .. 340 match: 44 SD: 0.4699 cents 76 .. 380 match: 44 SD: 0.4474 cents 85 .. 425 match: 44 SD: 0.3872 cents 91 .. 455 match: 44 SD: 0.3772 cents 101 .. 505 match: 44 SD: 0.3669 cents 107 .. 535 match: 44 SD: 0.3453 cents 108 .. 540 match: 44 SD: 0.3317 cents 109 .. 545 match: 44 SD: 0.3172 cents 119 .. 595 match: 44 SD: 0.3047 cents 128 .. 640 match: 44 SD: 0.2845 cents 131 .. 655 match: 44 SD: 0.2322 cents 153 .. 765 match: 44 SD: 0.2152 cents 172 .. 860 match: 44 SD: 0.2143 cents 176 .. 880 match: 44 SD: 0.1816 cents 196 .. 980 match: 44 SD: 0.1600 cents 228 .. 1140 match: 44 SD: 0.1526 cents 244 .. 1220 match: 44 SD: 0.1345 cents 268 .. 1340 match: 44 SD: 0.1333 cents 272 .. 1360 match: 44 SD: 0.1158 cents 304 .. 1520 match: 44 SD: 0.0983 cents 356 .. 1780 match: 44 SD: 0.0976 cents 357 .. 1785 match: 44 SD: 0.0963 cents 359 .. 1795 match: 44 SD: 0.0962 cents 372 .. 1860 match: 44 SD: 0.0928 cents 380 .. 1900 match: 44 SD: 0.0847 cents 400 .. 2000 match: 44 SD: 0.0843 cents 422 .. 2110 match: 44 SD: 0.0841 cents 424 .. 2120 match: 44 SD: 0.0836 cents 444 .. 2220 match: 44 SD: 0.0789 cents 448 .. 2240 match: 44 SD: 0.0730 cents 490 .. 2450 match: 44 SD: 0.0718 cents 491 .. 2455 match: 44 SD: 0.0685 cents 493 .. 2465 match: 44 SD: 0.0647 cents 533 .. 2665 match: 44 SD: 0.0621 cents 535 .. 2675 match: 44 SD: 0.0608 cents 576 .. 2880 match: 44 SD: 0.0507 cents