Scala analysis: miracle3
41 out of 72-tET Pythagorean scale "Miracle/Studloco", Erlich/Keenan 2001
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 33.333 cents 33.333300 2: 66.667 cents 66.666600 3: 83.333 cents 83.333370 4: 116.667 cents 116.666670 5: 150.000 cents 149.999970 6: 183.333 cents 183.333270 7: 200.000 cents 200.000040 8: 233.333 cents 233.333340 9: 266.667 cents 266.666640 10: 300.000 cents 299.999940 11: 316.667 cents 316.666710 12: 350.000 cents 350.000010 13: 383.333 cents 383.333310 14: 416.667 cents 416.666610 15: 433.333 cents 433.333380 16: 466.667 cents 466.666680 17: 500.000 cents 499.999980 18: 533.333 cents 533.333280 19: 550.000 cents 550.000050 20: 583.333 cents 583.333350 21: 616.667 cents 616.666650 22: 650.000 cents 649.999950 23: 666.667 cents 666.666720 24: 700.000 cents 700.000020 25: 733.333 cents 733.333320 26: 766.667 cents 766.666620 27: 783.333 cents 783.333390 28: 816.667 cents 816.666690 29: 850.000 cents 849.999990 30: 883.333 cents 883.333290 31: 900.000 cents 900.000060 32: 933.333 cents 933.333360 33: 966.667 cents 966.666660 34: 1000.000 cents 999.999960 35: 1016.667 cents 1016.666730 36: 1050.000 cents 1050.000030 37: 1083.333 cents 1083.333330 38: 1116.667 cents 1116.666630 39: 1133.333 cents 1133.333400 40: 1166.667 cents 1166.666700 41: 2/1 1200.000000 octave
SHOW/INTERVAL
0: 33.3333 cents 33.3333 1: 33.3333 cents 33.3333 2: 33.3333 cents 33.3333 3: 16.6668 cents 16.6668 4: 33.3333 cents 33.3333 5: 33.3333 cents 33.3333 6: 33.3333 cents 33.3333 7: 16.6668 cents 16.6668 8: 33.3333 cents 33.3333 9: 33.3333 cents 33.3333 10: 33.3333 cents 33.3333 11: 16.6668 cents 16.6668 12: 33.3333 cents 33.3333 13: 33.3333 cents 33.3333 14: 33.3333 cents 33.3333 15: 16.6668 cents 16.6668 16: 33.3333 cents 33.3333 17: 33.3333 cents 33.3333 18: 33.3333 cents 33.3333 19: 16.6668 cents 16.6668 20: 33.3333 cents 33.3333 21: 33.3333 cents 33.3333 22: 33.3333 cents 33.3333 23: 16.6668 cents 16.6668 24: 33.3333 cents 33.3333 25: 33.3333 cents 33.3333 26: 33.3333 cents 33.3333 27: 16.6668 cents 16.6668 28: 33.3333 cents 33.3333 29: 33.3333 cents 33.3333 30: 33.3333 cents 33.3333 31: 16.6668 cents 16.6668 32: 33.3333 cents 33.3333 33: 33.3333 cents 33.3333 34: 33.3333 cents 33.3333 35: 16.6668 cents 16.6668 36: 33.3333 cents 33.3333 37: 33.3333 cents 33.3333 38: 33.3333 cents 33.3333 39: 16.6668 cents 16.6668 40: 33.3333 cents 33.3333 41: 33.3333 cents 33.3333
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 10 16.66677 cents 1: 31 33.33330 cents 2: 20 50.00007 cents 2: 21 66.66660 cents 3: 30 83.33337 cents 3: 11 99.99990 cents 4: 40 116.66667 cents 4: 1 133.33320 cents 5: 9 133.33344 cents 5: 32 149.99997 cents 6: 19 166.66674 cents 6: 22 183.33327 cents 7: 29 200.00004 cents 7: 12 216.66657 cents 8: 39 233.33334 cents 8: 2 249.99987 cents 9: 8 250.00011 cents 9: 33 266.66664 cents 10: 18 283.33341 cents 10: 23 299.99994 cents 11: 28 316.66671 cents 11: 13 333.33324 cents 12: 38 350.00001 cents 12: 3 366.66654 cents 13: 7 366.66678 cents 13: 34 383.33331 cents 14: 17 400.00008 cents 14: 24 416.66661 cents 15: 27 433.33338 cents 15: 14 449.99991 cents 16: 37 466.66668 cents 16: 4 483.33321 cents 17: 6 483.33345 cents 17: 35 499.99998 cents 18: 16 516.66675 cents 18: 25 533.33328 cents 19: 26 550.00005 cents 19: 15 566.66658 cents 20: 36 583.33335 cents 20: 5 599.99988 cents 21: 5 600.00012 cents 21: 36 616.66665 cents 22: 15 633.33342 cents 22: 26 649.99995 cents 23: 25 666.66672 cents 23: 16 683.33325 cents 24: 35 700.00002 cents 24: 6 716.66655 cents 25: 4 716.66679 cents 25: 37 733.33332 cents 26: 14 750.00009 cents 26: 27 766.66662 cents 27: 24 783.33339 cents 27: 17 799.99992 cents 28: 34 816.66669 cents 28: 7 833.33322 cents 29: 3 833.33346 cents 29: 38 849.99999 cents 30: 13 866.66676 cents 30: 28 883.33329 cents 31: 23 900.00006 cents 31: 18 916.66659 cents 32: 33 933.33336 cents 32: 8 949.99989 cents 33: 2 950.00013 cents 33: 39 966.66666 cents 34: 12 983.33343 cents 34: 29 999.99996 cents 35: 22 1016.66673 cents 35: 19 1033.33326 cents 36: 32 1050.00003 cents 36: 9 1066.66656 cents 37: 1 1066.66680 cents 37: 40 1083.33333 cents 38: 11 1100.00010 cents 38: 30 1116.66663 cents 39: 21 1133.33340 cents 39: 20 1149.99993 cents 40: 31 1166.66670 cents 40: 10 1183.33323 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 : 33.3 66.7 83.3 116.7 150.0 183.3 200.0 233.3 266.7 300.0 316.7 350.0 383.3 416.7 433.3 466.7 500.0 533.3 550.0 583.3 616.7 650.0 666.7 700.0 733.3 766.7 783.3 816.7 850.0 883.3 900.0 933.3 966.7 1000.0 1016.7 1050.0 1083.3 1116.7 1133.3 1166.7 1200.0 33.3 : 33.3 50.0 83.3 116.7 150.0 166.7 200.0 233.3 266.7 283.3 316.7 350.0 383.3 400.0 433.3 466.7 500.0 516.7 550.0 583.3 616.7 633.3 666.7 700.0 733.3 750.0 783.3 816.7 850.0 866.7 900.0 933.3 966.7 983.3 1016.7 1050.0 1083.3 1100.0 1133.3 1166.7 1200.0 66.7 : 16.7 50.0 83.3 116.7 133.3 166.7 200.0 233.3 250.0 283.3 316.7 350.0 366.7 400.0 433.3 466.7 483.3 516.7 550.0 583.3 600.0 633.3 666.7 700.0 716.7 750.0 783.3 816.7 833.3 866.7 900.0 933.3 950.0 983.3 1016.7 1050.0 1066.7 1100.0 1133.3 1166.7 1200.0 83.3 : 33.3 66.7 100.0 116.7 150.0 183.3 216.7 233.3 266.7 300.0 333.3 350.0 383.3 416.7 450.0 466.7 500.0 533.3 566.7 583.3 616.7 650.0 683.3 700.0 733.3 766.7 800.0 816.7 850.0 883.3 916.7 933.3 966.7 1000.0 1033.3 1050.0 1083.3 1116.7 1150.0 1183.3 1200.0 116.7 : 33.3 66.7 83.3 116.7 150.0 183.3 200.0 233.3 266.7 300.0 316.7 350.0 383.3 416.7 433.3 466.7 500.0 533.3 550.0 583.3 616.7 650.0 666.7 700.0 733.3 766.7 783.3 816.7 850.0 883.3 900.0 933.3 966.7 1000.0 1016.7 1050.0 1083.3 1116.7 1150.0 1166.7 1200.0 150.0 : 33.3 50.0 83.3 116.7 150.0 166.7 200.0 233.3 266.7 283.3 316.7 350.0 383.3 400.0 433.3 466.7 500.0 516.7 550.0 583.3 616.7 633.3 666.7 700.0 733.3 750.0 783.3 816.7 850.0 866.7 900.0 933.3 966.7 983.3 1016.7 1050.0 1083.3 1116.7 1133.3 1166.7 1200.0 183.3 : 16.7 50.0 83.3 116.7 133.3 166.7 200.0 233.3 250.0 283.3 316.7 350.0 366.7 400.0 433.3 466.7 483.3 516.7 550.0 583.3 600.0 633.3 666.7 700.0 716.7 750.0 783.3 816.7 833.3 866.7 900.0 933.3 950.0 983.3 1016.7 1050.0 1083.3 1100.0 1133.3 1166.7 1200.0 200.0 : 33.3 66.7 100.0 116.7 150.0 183.3 216.7 233.3 266.7 300.0 333.3 350.0 383.3 416.7 450.0 466.7 500.0 533.3 566.7 583.3 616.7 650.0 683.3 700.0 733.3 766.7 800.0 816.7 850.0 883.3 916.7 933.3 966.7 1000.0 1033.3 1066.7 1083.3 1116.7 1150.0 1183.3 1200.0 233.3 : 33.3 66.7 83.3 116.7 150.0 183.3 200.0 233.3 266.7 300.0 316.7 350.0 383.3 416.7 433.3 466.7 500.0 533.3 550.0 583.3 616.7 650.0 666.7 700.0 733.3 766.7 783.3 816.7 850.0 883.3 900.0 933.3 966.7 1000.0 1033.3 1050.0 1083.3 1116.7 1150.0 1166.7 1200.0 266.7 : 33.3 50.0 83.3 116.7 150.0 166.7 200.0 233.3 266.7 283.3 316.7 350.0 383.3 400.0 433.3 466.7 500.0 516.7 550.0 583.3 616.7 633.3 666.7 700.0 733.3 750.0 783.3 816.7 850.0 866.7 900.0 933.3 966.7 1000.0 1016.7 1050.0 1083.3 1116.7 1133.3 1166.7 1200.0 300.0 : 16.7 50.0 83.3 116.7 133.3 166.7 200.0 233.3 250.0 283.3 316.7 350.0 366.7 400.0 433.3 466.7 483.3 516.7 550.0 583.3 600.0 633.3 666.7 700.0 716.7 750.0 783.3 816.7 833.3 866.7 900.0 933.3 966.7 983.3 1016.7 1050.0 1083.3 1100.0 1133.3 1166.7 1200.0 316.7 : 33.3 66.7 100.0 116.7 150.0 183.3 216.7 233.3 266.7 300.0 333.3 350.0 383.3 416.7 450.0 466.7 500.0 533.3 566.7 583.3 616.7 650.0 683.3 700.0 733.3 766.7 800.0 816.7 850.0 883.3 916.7 950.0 966.7 1000.0 1033.3 1066.7 1083.3 1116.7 1150.0 1183.3 1200.0 350.0 : 33.3 66.7 83.3 116.7 150.0 183.3 200.0 233.3 266.7 300.0 316.7 350.0 383.3 416.7 433.3 466.7 500.0 533.3 550.0 583.3 616.7 650.0 666.7 700.0 733.3 766.7 783.3 816.7 850.0 883.3 916.7 933.3 966.7 1000.0 1033.3 1050.0 1083.3 1116.7 1150.0 1166.7 1200.0 383.3 : 33.3 50.0 83.3 116.7 150.0 166.7 200.0 233.3 266.7 283.3 316.7 350.0 383.3 400.0 433.3 466.7 500.0 516.7 550.0 583.3 616.7 633.3 666.7 700.0 733.3 750.0 783.3 816.7 850.0 883.3 900.0 933.3 966.7 1000.0 1016.7 1050.0 1083.3 1116.7 1133.3 1166.7 1200.0 416.7 : 16.7 50.0 83.3 116.7 133.3 166.7 200.0 233.3 250.0 283.3 316.7 350.0 366.7 400.0 433.3 466.7 483.3 516.7 550.0 583.3 600.0 633.3 666.7 700.0 716.7 750.0 783.3 816.7 850.0 866.7 900.0 933.3 966.7 983.3 1016.7 1050.0 1083.3 1100.0 1133.3 1166.7 1200.0 433.3 : 33.3 66.7 100.0 116.7 150.0 183.3 216.7 233.3 266.7 300.0 333.3 350.0 383.3 416.7 450.0 466.7 500.0 533.3 566.7 583.3 616.7 650.0 683.3 700.0 733.3 766.7 800.0 833.3 850.0 883.3 916.7 950.0 966.7 1000.0 1033.3 1066.7 1083.3 1116.7 1150.0 1183.3 1200.0 466.7 : 33.3 66.7 83.3 116.7 150.0 183.3 200.0 233.3 266.7 300.0 316.7 350.0 383.3 416.7 433.3 466.7 500.0 533.3 550.0 583.3 616.7 650.0 666.7 700.0 733.3 766.7 800.0 816.7 850.0 883.3 916.7 933.3 966.7 1000.0 1033.3 1050.0 1083.3 1116.7 1150.0 1166.7 1200.0 500.0 : 33.3 50.0 83.3 116.7 150.0 166.7 200.0 233.3 266.7 283.3 316.7 350.0 383.3 400.0 433.3 466.7 500.0 516.7 550.0 583.3 616.7 633.3 666.7 700.0 733.3 766.7 783.3 816.7 850.0 883.3 900.0 933.3 966.7 1000.0 1016.7 1050.0 1083.3 1116.7 1133.3 1166.7 1200.0 533.3 : 16.7 50.0 83.3 116.7 133.3 166.7 200.0 233.3 250.0 283.3 316.7 350.0 366.7 400.0 433.3 466.7 483.3 516.7 550.0 583.3 600.0 633.3 666.7 700.0 733.3 750.0 783.3 816.7 850.0 866.7 900.0 933.3 966.7 983.3 1016.7 1050.0 1083.3 1100.0 1133.3 1166.7 1200.0 550.0 : 33.3 66.7 100.0 116.7 150.0 183.3 216.7 233.3 266.7 300.0 333.3 350.0 383.3 416.7 450.0 466.7 500.0 533.3 566.7 583.3 616.7 650.0 683.3 716.7 733.3 766.7 800.0 833.3 850.0 883.3 916.7 950.0 966.7 1000.0 1033.3 1066.7 1083.3 1116.7 1150.0 1183.3 1200.0 583.3 : 33.3 66.7 83.3 116.7 150.0 183.3 200.0 233.3 266.7 300.0 316.7 350.0 383.3 416.7 433.3 466.7 500.0 533.3 550.0 583.3 616.7 650.0 683.3 700.0 733.3 766.7 800.0 816.7 850.0 883.3 916.7 933.3 966.7 1000.0 1033.3 1050.0 1083.3 1116.7 1150.0 1166.7 1200.0 616.7 : 33.3 50.0 83.3 116.7 150.0 166.7 200.0 233.3 266.7 283.3 316.7 350.0 383.3 400.0 433.3 466.7 500.0 516.7 550.0 583.3 616.7 650.0 666.7 700.0 733.3 766.7 783.3 816.7 850.0 883.3 900.0 933.3 966.7 1000.0 1016.7 1050.0 1083.3 1116.7 1133.3 1166.7 1200.0 650.0 : 16.7 50.0 83.3 116.7 133.3 166.7 200.0 233.3 250.0 283.3 316.7 350.0 366.7 400.0 433.3 466.7 483.3 516.7 550.0 583.3 616.7 633.3 666.7 700.0 733.3 750.0 783.3 816.7 850.0 866.7 900.0 933.3 966.7 983.3 1016.7 1050.0 1083.3 1100.0 1133.3 1166.7 1200.0 666.7 : 33.3 66.7 100.0 116.7 150.0 183.3 216.7 233.3 266.7 300.0 333.3 350.0 383.3 416.7 450.0 466.7 500.0 533.3 566.7 600.0 616.7 650.0 683.3 716.7 733.3 766.7 800.0 833.3 850.0 883.3 916.7 950.0 966.7 1000.0 1033.3 1066.7 1083.3 1116.7 1150.0 1183.3 1200.0 700.0 : 33.3 66.7 83.3 116.7 150.0 183.3 200.0 233.3 266.7 300.0 316.7 350.0 383.3 416.7 433.3 466.7 500.0 533.3 566.7 583.3 616.7 650.0 683.3 700.0 733.3 766.7 800.0 816.7 850.0 883.3 916.7 933.3 966.7 1000.0 1033.3 1050.0 1083.3 1116.7 1150.0 1166.7 1200.0 733.3 : 33.3 50.0 83.3 116.7 150.0 166.7 200.0 233.3 266.7 283.3 316.7 350.0 383.3 400.0 433.3 466.7 500.0 533.3 550.0 583.3 616.7 650.0 666.7 700.0 733.3 766.7 783.3 816.7 850.0 883.3 900.0 933.3 966.7 1000.0 1016.7 1050.0 1083.3 1116.7 1133.3 1166.7 1200.0 766.7 : 16.7 50.0 83.3 116.7 133.3 166.7 200.0 233.3 250.0 283.3 316.7 350.0 366.7 400.0 433.3 466.7 500.0 516.7 550.0 583.3 616.7 633.3 666.7 700.0 733.3 750.0 783.3 816.7 850.0 866.7 900.0 933.3 966.7 983.3 1016.7 1050.0 1083.3 1100.0 1133.3 1166.7 1200.0 783.3 : 33.3 66.7 100.0 116.7 150.0 183.3 216.7 233.3 266.7 300.0 333.3 350.0 383.3 416.7 450.0 483.3 500.0 533.3 566.7 600.0 616.7 650.0 683.3 716.7 733.3 766.7 800.0 833.3 850.0 883.3 916.7 950.0 966.7 1000.0 1033.3 1066.7 1083.3 1116.7 1150.0 1183.3 1200.0 816.7 : 33.3 66.7 83.3 116.7 150.0 183.3 200.0 233.3 266.7 300.0 316.7 350.0 383.3 416.7 450.0 466.7 500.0 533.3 566.7 583.3 616.7 650.0 683.3 700.0 733.3 766.7 800.0 816.7 850.0 883.3 916.7 933.3 966.7 1000.0 1033.3 1050.0 1083.3 1116.7 1150.0 1166.7 1200.0 850.0 : 33.3 50.0 83.3 116.7 150.0 166.7 200.0 233.3 266.7 283.3 316.7 350.0 383.3 416.7 433.3 466.7 500.0 533.3 550.0 583.3 616.7 650.0 666.7 700.0 733.3 766.7 783.3 816.7 850.0 883.3 900.0 933.3 966.7 1000.0 1016.7 1050.0 1083.3 1116.7 1133.3 1166.7 1200.0 883.3 : 16.7 50.0 83.3 116.7 133.3 166.7 200.0 233.3 250.0 283.3 316.7 350.0 383.3 400.0 433.3 466.7 500.0 516.7 550.0 583.3 616.7 633.3 666.7 700.0 733.3 750.0 783.3 816.7 850.0 866.7 900.0 933.3 966.7 983.3 1016.7 1050.0 1083.3 1100.0 1133.3 1166.7 1200.0 900.0 : 33.3 66.7 100.0 116.7 150.0 183.3 216.7 233.3 266.7 300.0 333.3 366.7 383.3 416.7 450.0 483.3 500.0 533.3 566.7 600.0 616.7 650.0 683.3 716.7 733.3 766.7 800.0 833.3 850.0 883.3 916.7 950.0 966.7 1000.0 1033.3 1066.7 1083.3 1116.7 1150.0 1183.3 1200.0 933.3 : 33.3 66.7 83.3 116.7 150.0 183.3 200.0 233.3 266.7 300.0 333.3 350.0 383.3 416.7 450.0 466.7 500.0 533.3 566.7 583.3 616.7 650.0 683.3 700.0 733.3 766.7 800.0 816.7 850.0 883.3 916.7 933.3 966.7 1000.0 1033.3 1050.0 1083.3 1116.7 1150.0 1166.7 1200.0 966.7 : 33.3 50.0 83.3 116.7 150.0 166.7 200.0 233.3 266.7 300.0 316.7 350.0 383.3 416.7 433.3 466.7 500.0 533.3 550.0 583.3 616.7 650.0 666.7 700.0 733.3 766.7 783.3 816.7 850.0 883.3 900.0 933.3 966.7 1000.0 1016.7 1050.0 1083.3 1116.7 1133.3 1166.7 1200.0 1000.0: 16.7 50.0 83.3 116.7 133.3 166.7 200.0 233.3 266.7 283.3 316.7 350.0 383.3 400.0 433.3 466.7 500.0 516.7 550.0 583.3 616.7 633.3 666.7 700.0 733.3 750.0 783.3 816.7 850.0 866.7 900.0 933.3 966.7 983.3 1016.7 1050.0 1083.3 1100.0 1133.3 1166.7 1200.0 1016.7: 33.3 66.7 100.0 116.7 150.0 183.3 216.7 250.0 266.7 300.0 333.3 366.7 383.3 416.7 450.0 483.3 500.0 533.3 566.7 600.0 616.7 650.0 683.3 716.7 733.3 766.7 800.0 833.3 850.0 883.3 916.7 950.0 966.7 1000.0 1033.3 1066.7 1083.3 1116.7 1150.0 1183.3 1200.0 1050.0: 33.3 66.7 83.3 116.7 150.0 183.3 216.7 233.3 266.7 300.0 333.3 350.0 383.3 416.7 450.0 466.7 500.0 533.3 566.7 583.3 616.7 650.0 683.3 700.0 733.3 766.7 800.0 816.7 850.0 883.3 916.7 933.3 966.7 1000.0 1033.3 1050.0 1083.3 1116.7 1150.0 1166.7 1200.0 1083.3: 33.3 50.0 83.3 116.7 150.0 183.3 200.0 233.3 266.7 300.0 316.7 350.0 383.3 416.7 433.3 466.7 500.0 533.3 550.0 583.3 616.7 650.0 666.7 700.0 733.3 766.7 783.3 816.7 850.0 883.3 900.0 933.3 966.7 1000.0 1016.7 1050.0 1083.3 1116.7 1133.3 1166.7 1200.0 1116.7: 16.7 50.0 83.3 116.7 150.0 166.7 200.0 233.3 266.7 283.3 316.7 350.0 383.3 400.0 433.3 466.7 500.0 516.7 550.0 583.3 616.7 633.3 666.7 700.0 733.3 750.0 783.3 816.7 850.0 866.7 900.0 933.3 966.7 983.3 1016.7 1050.0 1083.3 1100.0 1133.3 1166.7 1200.0 1133.3: 33.3 66.7 100.0 133.3 150.0 183.3 216.7 250.0 266.7 300.0 333.3 366.7 383.3 416.7 450.0 483.3 500.0 533.3 566.7 600.0 616.7 650.0 683.3 716.7 733.3 766.7 800.0 833.3 850.0 883.3 916.7 950.0 966.7 1000.0 1033.3 1066.7 1083.3 1116.7 1150.0 1183.3 1200.0 1166.7: 33.3 66.7 100.0 116.7 150.0 183.3 216.7 233.3 266.7 300.0 333.3 350.0 383.3 416.7 450.0 466.7 500.0 533.3 566.7 583.3 616.7 650.0 683.3 700.0 733.3 766.7 800.0 816.7 850.0 883.3 916.7 933.3 966.7 1000.0 1033.3 1050.0 1083.3 1116.7 1150.0 1166.7 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 16.6668 .. 33.3333 cents 16.66653 cents 16.66677 cents 2: 50.0001 .. 66.6666 cents 16.66653 cents 16.66677 cents 3: 83.3334 .. 99.9999 cents 16.66653 cents 16.66677 cents 4: 116.6667 .. 133.3332 cents 16.66653 cents 16.66677 cents 5: 133.3334 .. 150.0000 cents 16.66653 cents 0.00024 cents 6: 166.6667 .. 183.3333 cents 16.66653 cents 16.66677 cents 7: 200.0000 .. 216.6666 cents 16.66653 cents 16.66677 cents 8: 233.3333 .. 249.9999 cents 16.66653 cents 16.66677 cents 9: 250.0001 .. 266.6666 cents 16.66653 cents 0.00024 cents 10: 283.3334 .. 299.9999 cents 16.66653 cents 16.66677 cents 11: 316.6667 .. 333.3332 cents 16.66653 cents 16.66677 cents 12: 350.0000 .. 366.6665 cents 16.66653 cents 16.66677 cents 13: 366.6668 .. 383.3333 cents 16.66653 cents 0.00024 cents 14: 400.0001 .. 416.6666 cents 16.66653 cents 16.66677 cents 15: 433.3334 .. 449.9999 cents 16.66653 cents 16.66677 cents 16: 466.6667 .. 483.3332 cents 16.66653 cents 16.66677 cents 17: 483.3335 .. 500.0000 cents 16.66653 cents 0.00024 cents 18: 516.6668 .. 533.3333 cents 16.66653 cents 16.66677 cents 19: 550.0001 .. 566.6666 cents 16.66653 cents 16.66677 cents 20: 583.3333 .. 599.9999 cents 16.66653 cents 16.66677 cents 21: 600.0001 .. 616.6667 cents 16.66653 cents 0.00024 cents 22: 633.3334 .. 649.9999 cents 16.66653 cents 16.66677 cents 23: 666.6667 .. 683.3332 cents 16.66653 cents 16.66677 cents 24: 700.0000 .. 716.6665 cents 16.66653 cents 16.66677 cents 25: 716.6668 .. 733.3333 cents 16.66653 cents 0.00024 cents 26: 750.0001 .. 766.6666 cents 16.66653 cents 16.66677 cents 27: 783.3334 .. 799.9999 cents 16.66653 cents 16.66677 cents 28: 816.6667 .. 833.3332 cents 16.66653 cents 16.66677 cents 29: 833.3335 .. 850.0000 cents 16.66653 cents 0.00024 cents 30: 866.6668 .. 883.3333 cents 16.66653 cents 16.66677 cents 31: 900.0001 .. 916.6666 cents 16.66653 cents 16.66677 cents 32: 933.3334 .. 949.9999 cents 16.66653 cents 16.66677 cents 33: 950.0001 .. 966.6667 cents 16.66653 cents 0.00024 cents 34: 983.3334 .. 1000.0000 cents 16.66653 cents 16.66677 cents 35: 1016.6667 .. 1033.3333 cents 16.66653 cents 16.66677 cents 36: 1050.0000 .. 1066.6666 cents 16.66653 cents 16.66677 cents 37: 1066.6668 .. 1083.3333 cents 16.66653 cents 0.00024 cents 38: 1100.0001 .. 1116.6666 cents 16.66653 cents 16.66677 cents 39: 1133.3334 .. 1149.9999 cents 16.66653 cents 16.66677 cents 40: 1166.6667 .. 1183.3332 cents 16.66653 cents 16.66677 cents
SHOW DATA
Number of notes : 41 -- Interval properties -- Smallest interval : 16.66677 cents, class 1 Average step (divided formal octave): 29.2683 cents Largest one step interval : 33.33330 cents Average / Smallest step : 1.756087 Largest / Average step : 1.138888 Largest / Smallest step : 1.999986 Median interval of one step : 33.33330 cents, amount: 31 Most common interval of one step : 33.33330 cents, amount: 31 Least squares average step : 29.24031 cents, oct.: 1198.85256 cents Scale is strictly proper Scale has Myhill's property chromas: 16.66653 cents and 0.00024 cents, ratio: 69443.875010 generators: 4 of 116.66667 cents and 37 of 1083.33333 cents Scale is maximally even in 72-tone equal temperament ET pair of linear temperament : 10&31 Scale is maximally even for L / S <= 2 Scale is distributional even Scale is a mode of a 72-tone equal temperament with octave 2/1 degrees: 2 4 5 7 9 11 12 14 16 18 19 21 23 25 26 28 30 32 33 35 37 39 40 42 44 46 47 49 51 53 54 56 58 60 61 63 65 67 68 70 72 generators: 7 and 65 Number of contiguous 1-step segments: 10 Scale is fully connected major-minor triadic in 72-tone equal temperament Step pattern alph. order: AABAAABAAABAAABAAABAAABAAABAAABAAABAAABAA Step pattern size order : LLSLLLSLLLSLLLSLLLSLLLSLLLSLLLSLLLSLLLSLL Interval vector is [ 10 31 20 21 30 11 40 9 32 19 22 29 12 39 8 33 18 23 28 13 38 7 34 17 24 27 14 37 6 35 16 25 26 15 36 2 ] Scale is a Constant Structure, by a margin of 0.00024 cents Scale diversity : 1.151632 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.444449 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 : 0.00024 cents Most common intervals : 116.66667 cents & inv., amount: 40 Scale is a chain of 20 triads 0.0 116.667 233.333 cents Most common triad is 0.0 116.667 1083.333 cents, amount: 39 Number of recognisable fifths : 45, average 703.7037 cents Number of appreciable fifths : 35, average 700.0000 cents Scale contains two identical disjunct "tetrachords" of 18 notes Best fifths form a closed circle 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: 4.8098 c. M:-8.1300 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: 0.0000 c. M: 0.0001 c.
FIT/HARMONIC
1 .. 2 match: 1 H SD: 0.0000 cents 2 .. 4 match: 2 H SD: 0.9775 cents 3 .. 6 match: 3 H SD: 0.7359 cents 4 .. 8 match: 4 H SD: 1.0418 cents 5 .. 10 match: 5 H SD: 0.6774 cents 6 .. 12 match: 6 H SD: 0.5040 cents 7 .. 14 match: 7 H SD: 1.7169 cents 8 .. 16 match: 8 H SD: 1.5231 cents 9 .. 18 match: 9 H SD: 2.3673 cents 10 .. 20 match: 10 H SD: 2.5323 cents 11 .. 22 match: 11 H SD: 2.4176 cents 12 .. 24 match: 12 H SD: 1.9341 cents 13 .. 26 match: 13 H SD: 2.8821 cents 14 .. 28 match: 14 H SD: 1.5770 cents 15 .. 30 match: 15 H SD: 1.7756 cents 16 .. 32 match: 16 H SD: 1.7865 cents 17 .. 34 match: 17 H SD: 2.9307 cents 18 .. 36 match: 18 H SD: 1.9377 cents 19 .. 38 match: 19 H SD: 1.9884 cents 20 .. 40 match: 20 H SD: 2.0206 cents 21 .. 42 match: 21 H SD: 1.6286 cents 22 .. 44 match: 22 H SD: 1.7459 cents 23 .. 46 match: 23 H SD: 1.9619 cents 24 .. 48 match: 24 H SD: 1.4835 cents 25 .. 50 match: 25 H SD: 1.5749 cents 26 .. 52 match: 26 H SD: 1.8968 cents 27 .. 54 match: 27 H SD: 1.7712 cents 28 .. 56 match: 28 H SD: 1.4402 cents 29 .. 58 match: 29 H SD: 1.7612 cents 30 .. 60 match: 30 H SD: 1.4836 cents 31 .. 62 match: 31 H SD: 1.6794 cents 32 .. 64 match: 32 H SD: 1.3492 cents 33 .. 66 match: 32 SD: 1.6708 cents 34 .. 68 match: 30 SD: 1.9227 cents 35 .. 70 match: 32 SD: 1.3622 cents 36 .. 72 match: 34 SD: 1.3165 cents 37 .. 74 match: 32 SD: 1.6602 cents 38 .. 76 match: 35 SD: 1.4645 cents 39 .. 78 match: 35 SD: 1.5538 cents 40 .. 80 match: 36 SD: 1.2107 cents 41 .. 82 match: 35 SD: 1.2480 cents 42 .. 84 match: 38 SD: 1.0889 cents 43 .. 86 match: 34 SD: 1.2603 cents 44 .. 88 match: 37 SD: 1.1392 cents 45 .. 90 match: 37 SD: 1.0881 cents 46 .. 92 match: 35 SD: 1.2550 cents 47 .. 94 match: 37 SD: 1.1601 cents 48 .. 96 match: 38 SD: 1.0585 cents 49 .. 98 match: 38 SD: 1.1109 cents 50 .. 100 match: 37 SD: 1.1717 cents 51 .. 102 match: 39 SD: 1.2190 cents 52 .. 104 match: 36 SD: 1.0998 cents 53 .. 106 match: 39 SD: 0.9299 cents 54 .. 108 match: 39 SD: 0.9124 cents 55 .. 110 match: 39 SD: 0.8721 cents 56 .. 112 match: 39 SD: 0.8484 cents 57 .. 114 match: 38 SD: 0.9456 cents 58 .. 116 match: 40 SD: 0.9838 cents 59 .. 118 match: 40 SD: 0.8689 cents 60 .. 120 match: 39 SD: 0.8860 cents 61 .. 122 match: 38 SD: 0.9227 cents 62 .. 124 match: 39 SD: 0.9517 cents 63 .. 126 match: 41 SD: 0.8663 cents 64 .. 128 match: 40 SD: 0.8427 cents 65 .. 130 match: 39 SD: 0.8742 cents 66 .. 132 match: 40 SD: 0.8222 cents 67 .. 134 match: 38 SD: 0.9140 cents 68 .. 136 match: 37 SD: 0.7481 cents 69 .. 138 match: 39 SD: 0.8900 cents 70 .. 140 match: 40 SD: 0.7234 cents 72 .. 144 match: 39 SD: 0.7523 cents 74 .. 148 match: 41 SD: 0.7148 cents 75 .. 150 match: 41 SD: 0.7147 cents 77 .. 154 match: 39 SD: 0.6737 cents 80 .. 160 match: 41 SD: 0.6612 cents 81 .. 162 match: 41 SD: 0.6518 cents 82 .. 164 match: 40 SD: 0.7485 cents 83 .. 166 match: 41 SD: 0.6909 cents 84 .. 168 match: 41 SD: 0.5674 cents 90 .. 180 match: 40 SD: 0.5977 cents 91 .. 182 match: 40 SD: 0.5925 cents 95 .. 190 match: 41 SD: 0.5840 cents 96 .. 192 match: 41 SD: 0.5395 cents 98 .. 196 match: 41 SD: 0.4772 cents 110 .. 220 match: 41 SD: 0.4524 cents 120 .. 240 match: 41 SD: 0.4171 cents 125 .. 250 match: 41 SD: 0.4139 cents 133 .. 266 match: 41 SD: 0.3936 cents 138 .. 276 match: 41 SD: 0.3886 cents 143 .. 286 match: 41 SD: 0.3797 cents 144 .. 288 match: 41 SD: 0.3357 cents 155 .. 310 match: 41 SD: 0.3010 cents 158 .. 316 match: 41 SD: 0.2927 cents 169 .. 338 match: 41 SD: 0.2875 cents 180 .. 360 match: 41 SD: 0.2818 cents 185 .. 370 match: 41 SD: 0.2767 cents 197 .. 394 match: 41 SD: 0.2564 cents 203 .. 406 match: 41 SD: 0.2515 cents 205 .. 410 match: 41 SD: 0.2510 cents 206 .. 412 match: 41 SD: 0.2370 cents 210 .. 420 match: 41 SD: 0.2321 cents 222 .. 444 match: 41 SD: 0.2222 cents 239 .. 478 match: 41 SD: 0.2204 cents 243 .. 486 match: 41 SD: 0.2071 cents 254 .. 508 match: 41 SD: 0.1951 cents 259 .. 518 match: 41 SD: 0.1927 cents 269 .. 538 match: 41 SD: 0.1877 cents 275 .. 550 match: 41 SD: 0.1863 cents 285 .. 570 match: 41 SD: 0.1751 cents 287 .. 574 match: 41 SD: 0.1736 cents 299 .. 598 match: 41 SD: 0.1720 cents 302 .. 604 match: 41 SD: 0.1614 cents 305 .. 610 match: 41 SD: 0.1570 cents 313 .. 626 match: 41 SD: 0.1564 cents 330 .. 660 match: 41 SD: 0.1509 cents 343 .. 686 match: 41 SD: 0.1456 cents 349 .. 698 match: 41 SD: 0.1453 cents 353 .. 706 match: 41 SD: 0.1417 cents 358 .. 716 match: 41 SD: 0.1380 cents 360 .. 720 match: 41 SD: 0.1349 cents 374 .. 748 match: 41 SD: 0.1318 cents 385 .. 770 match: 41 SD: 0.1308 cents 400 .. 800 match: 41 SD: 0.1276 cents 402 .. 804 match: 41 SD: 0.1178 cents 407 .. 814 match: 41 SD: 0.1176 cents 449 .. 898 match: 41 SD: 0.1064 cents 463 .. 926 match: 41 SD: 0.1008 cents 500 .. 1000 match: 41 SD: 0.0990 cents 508 .. 1016 match: 41 SD: 0.0963 cents 528 .. 1056 match: 41 SD: 0.0952 cents 529 .. 1058 match: 41 SD: 0.0912 cents 554 .. 1108 match: 41 SD: 0.0870 cents 562 .. 1124 match: 41 SD: 0.0831 cents 588 .. 1176 match: 41 SD: 0.0819 cents