Scala analysis: ennea45
Ennealimmal-45, 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: 35.335 cents 35.335000 2: 48.999 cents 48.999200 3: 84.334 cents 84.334200 4: 97.998 cents 97.998300 5: 133.333 cents 133.333300 6: 168.668 cents 168.668400 7: 182.333 cents 182.332500 8: 217.667 cents 217.667500 9: 231.332 cents 231.331600 10: 266.667 cents 266.666700 11: 302.002 cents 302.001700 12: 315.666 cents 315.665800 13: 351.001 cents 351.000800 14: 364.665 cents 364.665000 15: 400.000 cents 400.000000 16: 435.335 cents 435.335000 17: 448.999 cents 448.999200 18: 484.334 cents 484.334200 19: 497.998 cents 497.998300 20: 533.333 cents 533.333300 21: 568.668 cents 568.668400 22: 582.332 cents 582.332500 23: 617.668 cents 617.667500 24: 631.332 cents 631.331600 25: 666.667 cents 666.666700 26: 702.002 cents 702.001700 27: 715.666 cents 715.665800 28: 751.001 cents 751.000800 29: 764.665 cents 764.665000 30: 800.000 cents 800.000000 31: 835.335 cents 835.335000 32: 848.999 cents 848.999200 33: 884.334 cents 884.334200 34: 897.998 cents 897.998300 35: 933.333 cents 933.333300 36: 968.668 cents 968.668400 37: 982.332 cents 982.332500 38: 1017.667 cents 1017.667500 39: 1031.332 cents 1031.331600 40: 1066.667 cents 1066.666700 41: 1102.002 cents 1102.001700 42: 1115.666 cents 1115.665800 43: 1151.001 cents 1151.000800 44: 1164.665 cents 1164.665000 45: 2/1 1200.000000 octave
SHOW/INTERVAL
0: 35.3350 cents 35.3350 1: 35.3350 cents 35.3350 2: 13.6642 cents 13.6642 3: 35.3350 cents 35.3350 4: 13.6641 cents 13.6641 5: 35.3350 cents 35.3350 6: 35.3351 cents 35.3351 7: 13.6641 cents 13.6641 8: 35.3350 cents 35.3350 9: 13.6641 cents 13.6641 10: 35.3351 cents 35.3351 11: 35.3350 cents 35.3350 12: 13.6641 cents 13.6641 13: 35.3350 cents 35.3350 14: 13.6642 cents 13.6642 15: 35.3350 cents 35.3350 16: 35.3350 cents 35.3350 17: 13.6642 cents 13.6642 18: 35.3350 cents 35.3350 19: 13.6641 cents 13.6641 20: 35.3350 cents 35.3350 21: 35.3351 cents 35.3351 22: 13.6641 cents 13.6641 23: 35.3350 cents 35.3350 24: 13.6641 cents 13.6641 25: 35.3351 cents 35.3351 26: 35.3350 cents 35.3350 27: 13.6641 cents 13.6641 28: 35.3350 cents 35.3350 29: 13.6642 cents 13.6642 30: 35.3350 cents 35.3350 31: 35.3350 cents 35.3350 32: 13.6642 cents 13.6642 33: 35.3350 cents 35.3350 34: 13.6641 cents 13.6641 35: 35.3350 cents 35.3350 36: 35.3351 cents 35.3351 37: 13.6641 cents 13.6641 38: 35.3350 cents 35.3350 39: 13.6641 cents 13.6641 40: 35.3351 cents 35.3351 41: 35.3350 cents 35.3350 42: 13.6641 cents 13.6641 43: 35.3350 cents 35.3350 44: 13.6642 cents 13.6642 45: 35.3350 cents 35.3350
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 18 13.66420 cents 1: 27 35.33500 cents 2: 36 48.99920 cents 2: 9 70.67010 cents 3: 9 62.66330 cents 3: 36 84.33420 cents 4: 27 97.99830 cents 4: 18 119.66920 cents 5: 45 133.33330 cents 6: 18 146.99750 cents 6: 27 168.66840 cents 7: 36 182.33250 cents 7: 9 204.00340 cents 8: 9 195.99660 cents 8: 36 217.66750 cents 9: 27 231.33160 cents 9: 18 253.00250 cents 10: 45 266.66670 cents 11: 18 280.33080 cents 11: 27 302.00170 cents 12: 36 315.66580 cents 12: 9 337.33670 cents 13: 9 329.33000 cents 13: 36 351.00080 cents 14: 27 364.66500 cents 14: 18 386.33580 cents 15: 45 400.00000 cents 16: 18 413.66420 cents 16: 27 435.33500 cents 17: 36 448.99920 cents 17: 9 470.67010 cents 18: 9 462.66330 cents 18: 36 484.33420 cents 19: 27 497.99830 cents 19: 18 519.66920 cents 20: 45 533.33330 cents 21: 18 546.99750 cents 21: 27 568.66840 cents 22: 36 582.33250 cents 22: 9 604.00340 cents 23: 9 595.99660 cents 23: 36 617.66750 cents 24: 27 631.33160 cents 24: 18 653.00250 cents 25: 45 666.66670 cents 26: 18 680.33080 cents 26: 27 702.00170 cents 27: 36 715.66580 cents 27: 9 737.33670 cents 28: 9 729.33000 cents 28: 36 751.00080 cents 29: 27 764.66500 cents 29: 18 786.33580 cents 30: 45 800.00000 cents 31: 18 813.66420 cents 31: 27 835.33500 cents 32: 36 848.99920 cents 32: 9 870.67010 cents 33: 9 862.66330 cents 33: 36 884.33420 cents 34: 27 897.99830 cents 34: 18 919.66920 cents 35: 45 933.33330 cents 36: 18 946.99750 cents 36: 27 968.66840 cents 37: 36 982.33250 cents 37: 9 1004.00340 cents 38: 9 995.99660 cents 38: 36 1017.66750 cents 39: 27 1031.33160 cents 39: 18 1053.00250 cents 40: 45 1066.66670 cents 41: 18 1080.33080 cents 41: 27 1102.00170 cents 42: 36 1115.66580 cents 42: 9 1137.33670 cents 43: 9 1129.33000 cents 43: 36 1151.00080 cents 44: 27 1164.66500 cents 44: 18 1186.33580 cents Highest number of different intervals for one interval class: 2 Average number of different intervals per interval class: 1.81818 = 20/11
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 35 36 37 38 39 40 41 42 43 44 45 0.0 : 35.3 49.0 84.3 98.0 133.3 168.7 182.3 217.7 231.3 266.7 302.0 315.7 351.0 364.7 400.0 435.3 449.0 484.3 498.0 533.3 568.7 582.3 617.7 631.3 666.7 702.0 715.7 751.0 764.7 800.0 835.3 849.0 884.3 898.0 933.3 968.7 982.3 1017.7 1031.3 1066.7 1102.0 1115.7 1151.0 1164.7 1200.0 35.3 : 13.7 49.0 62.7 98.0 133.3 147.0 182.3 196.0 231.3 266.7 280.3 315.7 329.3 364.7 400.0 413.7 449.0 462.7 498.0 533.3 547.0 582.3 596.0 631.3 666.7 680.3 715.7 729.3 764.7 800.0 813.7 849.0 862.7 898.0 933.3 947.0 982.3 996.0 1031.3 1066.7 1080.3 1115.7 1129.3 1164.7 1200.0 49.0 : 35.3 49.0 84.3 119.7 133.3 168.7 182.3 217.7 253.0 266.7 302.0 315.7 351.0 386.3 400.0 435.3 449.0 484.3 519.7 533.3 568.7 582.3 617.7 653.0 666.7 702.0 715.7 751.0 786.3 800.0 835.3 849.0 884.3 919.7 933.3 968.7 982.3 1017.7 1053.0 1066.7 1102.0 1115.7 1151.0 1186.3 1200.0 84.3 : 13.7 49.0 84.3 98.0 133.3 147.0 182.3 217.7 231.3 266.7 280.3 315.7 351.0 364.7 400.0 413.7 449.0 484.3 498.0 533.3 547.0 582.3 617.7 631.3 666.7 680.3 715.7 751.0 764.7 800.0 813.7 849.0 884.3 898.0 933.3 947.0 982.3 1017.7 1031.3 1066.7 1080.3 1115.7 1151.0 1164.7 1200.0 98.0 : 35.3 70.7 84.3 119.7 133.3 168.7 204.0 217.7 253.0 266.7 302.0 337.3 351.0 386.3 400.0 435.3 470.7 484.3 519.7 533.3 568.7 604.0 617.7 653.0 666.7 702.0 737.3 751.0 786.3 800.0 835.3 870.7 884.3 919.7 933.3 968.7 1004.0 1017.7 1053.0 1066.7 1102.0 1137.3 1151.0 1186.3 1200.0 133.3 : 35.3 49.0 84.3 98.0 133.3 168.7 182.3 217.7 231.3 266.7 302.0 315.7 351.0 364.7 400.0 435.3 449.0 484.3 498.0 533.3 568.7 582.3 617.7 631.3 666.7 702.0 715.7 751.0 764.7 800.0 835.3 849.0 884.3 898.0 933.3 968.7 982.3 1017.7 1031.3 1066.7 1102.0 1115.7 1151.0 1164.7 1200.0 168.7 : 13.7 49.0 62.7 98.0 133.3 147.0 182.3 196.0 231.3 266.7 280.3 315.7 329.3 364.7 400.0 413.7 449.0 462.7 498.0 533.3 547.0 582.3 596.0 631.3 666.7 680.3 715.7 729.3 764.7 800.0 813.7 849.0 862.7 898.0 933.3 947.0 982.3 996.0 1031.3 1066.7 1080.3 1115.7 1129.3 1164.7 1200.0 182.3 : 35.3 49.0 84.3 119.7 133.3 168.7 182.3 217.7 253.0 266.7 302.0 315.7 351.0 386.3 400.0 435.3 449.0 484.3 519.7 533.3 568.7 582.3 617.7 653.0 666.7 702.0 715.7 751.0 786.3 800.0 835.3 849.0 884.3 919.7 933.3 968.7 982.3 1017.7 1053.0 1066.7 1102.0 1115.7 1151.0 1186.3 1200.0 217.7 : 13.7 49.0 84.3 98.0 133.3 147.0 182.3 217.7 231.3 266.7 280.3 315.7 351.0 364.7 400.0 413.7 449.0 484.3 498.0 533.3 547.0 582.3 617.7 631.3 666.7 680.3 715.7 751.0 764.7 800.0 813.7 849.0 884.3 898.0 933.3 947.0 982.3 1017.7 1031.3 1066.7 1080.3 1115.7 1151.0 1164.7 1200.0 231.3 : 35.3 70.7 84.3 119.7 133.3 168.7 204.0 217.7 253.0 266.7 302.0 337.3 351.0 386.3 400.0 435.3 470.7 484.3 519.7 533.3 568.7 604.0 617.7 653.0 666.7 702.0 737.3 751.0 786.3 800.0 835.3 870.7 884.3 919.7 933.3 968.7 1004.0 1017.7 1053.0 1066.7 1102.0 1137.3 1151.0 1186.3 1200.0 266.7 : 35.3 49.0 84.3 98.0 133.3 168.7 182.3 217.7 231.3 266.7 302.0 315.7 351.0 364.7 400.0 435.3 449.0 484.3 498.0 533.3 568.7 582.3 617.7 631.3 666.7 702.0 715.7 751.0 764.7 800.0 835.3 849.0 884.3 898.0 933.3 968.7 982.3 1017.7 1031.3 1066.7 1102.0 1115.7 1151.0 1164.7 1200.0 302.0 : 13.7 49.0 62.7 98.0 133.3 147.0 182.3 196.0 231.3 266.7 280.3 315.7 329.3 364.7 400.0 413.7 449.0 462.7 498.0 533.3 547.0 582.3 596.0 631.3 666.7 680.3 715.7 729.3 764.7 800.0 813.7 849.0 862.7 898.0 933.3 947.0 982.3 996.0 1031.3 1066.7 1080.3 1115.7 1129.3 1164.7 1200.0 315.7 : 35.3 49.0 84.3 119.7 133.3 168.7 182.3 217.7 253.0 266.7 302.0 315.7 351.0 386.3 400.0 435.3 449.0 484.3 519.7 533.3 568.7 582.3 617.7 653.0 666.7 702.0 715.7 751.0 786.3 800.0 835.3 849.0 884.3 919.7 933.3 968.7 982.3 1017.7 1053.0 1066.7 1102.0 1115.7 1151.0 1186.3 1200.0 351.0 : 13.7 49.0 84.3 98.0 133.3 147.0 182.3 217.7 231.3 266.7 280.3 315.7 351.0 364.7 400.0 413.7 449.0 484.3 498.0 533.3 547.0 582.3 617.7 631.3 666.7 680.3 715.7 751.0 764.7 800.0 813.7 849.0 884.3 898.0 933.3 947.0 982.3 1017.7 1031.3 1066.7 1080.3 1115.7 1151.0 1164.7 1200.0 364.7 : 35.3 70.7 84.3 119.7 133.3 168.7 204.0 217.7 253.0 266.7 302.0 337.3 351.0 386.3 400.0 435.3 470.7 484.3 519.7 533.3 568.7 604.0 617.7 653.0 666.7 702.0 737.3 751.0 786.3 800.0 835.3 870.7 884.3 919.7 933.3 968.7 1004.0 1017.7 1053.0 1066.7 1102.0 1137.3 1151.0 1186.3 1200.0 400.0 : 35.3 49.0 84.3 98.0 133.3 168.7 182.3 217.7 231.3 266.7 302.0 315.7 351.0 364.7 400.0 435.3 449.0 484.3 498.0 533.3 568.7 582.3 617.7 631.3 666.7 702.0 715.7 751.0 764.7 800.0 835.3 849.0 884.3 898.0 933.3 968.7 982.3 1017.7 1031.3 1066.7 1102.0 1115.7 1151.0 1164.7 1200.0 435.3 : 13.7 49.0 62.7 98.0 133.3 147.0 182.3 196.0 231.3 266.7 280.3 315.7 329.3 364.7 400.0 413.7 449.0 462.7 498.0 533.3 547.0 582.3 596.0 631.3 666.7 680.3 715.7 729.3 764.7 800.0 813.7 849.0 862.7 898.0 933.3 947.0 982.3 996.0 1031.3 1066.7 1080.3 1115.7 1129.3 1164.7 1200.0 449.0 : 35.3 49.0 84.3 119.7 133.3 168.7 182.3 217.7 253.0 266.7 302.0 315.7 351.0 386.3 400.0 435.3 449.0 484.3 519.7 533.3 568.7 582.3 617.7 653.0 666.7 702.0 715.7 751.0 786.3 800.0 835.3 849.0 884.3 919.7 933.3 968.7 982.3 1017.7 1053.0 1066.7 1102.0 1115.7 1151.0 1186.3 1200.0 484.3 : 13.7 49.0 84.3 98.0 133.3 147.0 182.3 217.7 231.3 266.7 280.3 315.7 351.0 364.7 400.0 413.7 449.0 484.3 498.0 533.3 547.0 582.3 617.7 631.3 666.7 680.3 715.7 751.0 764.7 800.0 813.7 849.0 884.3 898.0 933.3 947.0 982.3 1017.7 1031.3 1066.7 1080.3 1115.7 1151.0 1164.7 1200.0 498.0 : 35.3 70.7 84.3 119.7 133.3 168.7 204.0 217.7 253.0 266.7 302.0 337.3 351.0 386.3 400.0 435.3 470.7 484.3 519.7 533.3 568.7 604.0 617.7 653.0 666.7 702.0 737.3 751.0 786.3 800.0 835.3 870.7 884.3 919.7 933.3 968.7 1004.0 1017.7 1053.0 1066.7 1102.0 1137.3 1151.0 1186.3 1200.0 533.3 : 35.3 49.0 84.3 98.0 133.3 168.7 182.3 217.7 231.3 266.7 302.0 315.7 351.0 364.7 400.0 435.3 449.0 484.3 498.0 533.3 568.7 582.3 617.7 631.3 666.7 702.0 715.7 751.0 764.7 800.0 835.3 849.0 884.3 898.0 933.3 968.7 982.3 1017.7 1031.3 1066.7 1102.0 1115.7 1151.0 1164.7 1200.0 568.7 : 13.7 49.0 62.7 98.0 133.3 147.0 182.3 196.0 231.3 266.7 280.3 315.7 329.3 364.7 400.0 413.7 449.0 462.7 498.0 533.3 547.0 582.3 596.0 631.3 666.7 680.3 715.7 729.3 764.7 800.0 813.7 849.0 862.7 898.0 933.3 947.0 982.3 996.0 1031.3 1066.7 1080.3 1115.7 1129.3 1164.7 1200.0 582.3 : 35.3 49.0 84.3 119.7 133.3 168.7 182.3 217.7 253.0 266.7 302.0 315.7 351.0 386.3 400.0 435.3 449.0 484.3 519.7 533.3 568.7 582.3 617.7 653.0 666.7 702.0 715.7 751.0 786.3 800.0 835.3 849.0 884.3 919.7 933.3 968.7 982.3 1017.7 1053.0 1066.7 1102.0 1115.7 1151.0 1186.3 1200.0 617.7 : 13.7 49.0 84.3 98.0 133.3 147.0 182.3 217.7 231.3 266.7 280.3 315.7 351.0 364.7 400.0 413.7 449.0 484.3 498.0 533.3 547.0 582.3 617.7 631.3 666.7 680.3 715.7 751.0 764.7 800.0 813.7 849.0 884.3 898.0 933.3 947.0 982.3 1017.7 1031.3 1066.7 1080.3 1115.7 1151.0 1164.7 1200.0 631.3 : 35.3 70.7 84.3 119.7 133.3 168.7 204.0 217.7 253.0 266.7 302.0 337.3 351.0 386.3 400.0 435.3 470.7 484.3 519.7 533.3 568.7 604.0 617.7 653.0 666.7 702.0 737.3 751.0 786.3 800.0 835.3 870.7 884.3 919.7 933.3 968.7 1004.0 1017.7 1053.0 1066.7 1102.0 1137.3 1151.0 1186.3 1200.0 666.7 : 35.3 49.0 84.3 98.0 133.3 168.7 182.3 217.7 231.3 266.7 302.0 315.7 351.0 364.7 400.0 435.3 449.0 484.3 498.0 533.3 568.7 582.3 617.7 631.3 666.7 702.0 715.7 751.0 764.7 800.0 835.3 849.0 884.3 898.0 933.3 968.7 982.3 1017.7 1031.3 1066.7 1102.0 1115.7 1151.0 1164.7 1200.0 702.0 : 13.7 49.0 62.7 98.0 133.3 147.0 182.3 196.0 231.3 266.7 280.3 315.7 329.3 364.7 400.0 413.7 449.0 462.7 498.0 533.3 547.0 582.3 596.0 631.3 666.7 680.3 715.7 729.3 764.7 800.0 813.7 849.0 862.7 898.0 933.3 947.0 982.3 996.0 1031.3 1066.7 1080.3 1115.7 1129.3 1164.7 1200.0 715.7 : 35.3 49.0 84.3 119.7 133.3 168.7 182.3 217.7 253.0 266.7 302.0 315.7 351.0 386.3 400.0 435.3 449.0 484.3 519.7 533.3 568.7 582.3 617.7 653.0 666.7 702.0 715.7 751.0 786.3 800.0 835.3 849.0 884.3 919.7 933.3 968.7 982.3 1017.7 1053.0 1066.7 1102.0 1115.7 1151.0 1186.3 1200.0 751.0 : 13.7 49.0 84.3 98.0 133.3 147.0 182.3 217.7 231.3 266.7 280.3 315.7 351.0 364.7 400.0 413.7 449.0 484.3 498.0 533.3 547.0 582.3 617.7 631.3 666.7 680.3 715.7 751.0 764.7 800.0 813.7 849.0 884.3 898.0 933.3 947.0 982.3 1017.7 1031.3 1066.7 1080.3 1115.7 1151.0 1164.7 1200.0 764.7 : 35.3 70.7 84.3 119.7 133.3 168.7 204.0 217.7 253.0 266.7 302.0 337.3 351.0 386.3 400.0 435.3 470.7 484.3 519.7 533.3 568.7 604.0 617.7 653.0 666.7 702.0 737.3 751.0 786.3 800.0 835.3 870.7 884.3 919.7 933.3 968.7 1004.0 1017.7 1053.0 1066.7 1102.0 1137.3 1151.0 1186.3 1200.0 800.0 : 35.3 49.0 84.3 98.0 133.3 168.7 182.3 217.7 231.3 266.7 302.0 315.7 351.0 364.7 400.0 435.3 449.0 484.3 498.0 533.3 568.7 582.3 617.7 631.3 666.7 702.0 715.7 751.0 764.7 800.0 835.3 849.0 884.3 898.0 933.3 968.7 982.3 1017.7 1031.3 1066.7 1102.0 1115.7 1151.0 1164.7 1200.0 835.3 : 13.7 49.0 62.7 98.0 133.3 147.0 182.3 196.0 231.3 266.7 280.3 315.7 329.3 364.7 400.0 413.7 449.0 462.7 498.0 533.3 547.0 582.3 596.0 631.3 666.7 680.3 715.7 729.3 764.7 800.0 813.7 849.0 862.7 898.0 933.3 947.0 982.3 996.0 1031.3 1066.7 1080.3 1115.7 1129.3 1164.7 1200.0 849.0 : 35.3 49.0 84.3 119.7 133.3 168.7 182.3 217.7 253.0 266.7 302.0 315.7 351.0 386.3 400.0 435.3 449.0 484.3 519.7 533.3 568.7 582.3 617.7 653.0 666.7 702.0 715.7 751.0 786.3 800.0 835.3 849.0 884.3 919.7 933.3 968.7 982.3 1017.7 1053.0 1066.7 1102.0 1115.7 1151.0 1186.3 1200.0 884.3 : 13.7 49.0 84.3 98.0 133.3 147.0 182.3 217.7 231.3 266.7 280.3 315.7 351.0 364.7 400.0 413.7 449.0 484.3 498.0 533.3 547.0 582.3 617.7 631.3 666.7 680.3 715.7 751.0 764.7 800.0 813.7 849.0 884.3 898.0 933.3 947.0 982.3 1017.7 1031.3 1066.7 1080.3 1115.7 1151.0 1164.7 1200.0 898.0 : 35.3 70.7 84.3 119.7 133.3 168.7 204.0 217.7 253.0 266.7 302.0 337.3 351.0 386.3 400.0 435.3 470.7 484.3 519.7 533.3 568.7 604.0 617.7 653.0 666.7 702.0 737.3 751.0 786.3 800.0 835.3 870.7 884.3 919.7 933.3 968.7 1004.0 1017.7 1053.0 1066.7 1102.0 1137.3 1151.0 1186.3 1200.0 933.3 : 35.3 49.0 84.3 98.0 133.3 168.7 182.3 217.7 231.3 266.7 302.0 315.7 351.0 364.7 400.0 435.3 449.0 484.3 498.0 533.3 568.7 582.3 617.7 631.3 666.7 702.0 715.7 751.0 764.7 800.0 835.3 849.0 884.3 898.0 933.3 968.7 982.3 1017.7 1031.3 1066.7 1102.0 1115.7 1151.0 1164.7 1200.0 968.7 : 13.7 49.0 62.7 98.0 133.3 147.0 182.3 196.0 231.3 266.7 280.3 315.7 329.3 364.7 400.0 413.7 449.0 462.7 498.0 533.3 547.0 582.3 596.0 631.3 666.7 680.3 715.7 729.3 764.7 800.0 813.7 849.0 862.7 898.0 933.3 947.0 982.3 996.0 1031.3 1066.7 1080.3 1115.7 1129.3 1164.7 1200.0 982.3 : 35.3 49.0 84.3 119.7 133.3 168.7 182.3 217.7 253.0 266.7 302.0 315.7 351.0 386.3 400.0 435.3 449.0 484.3 519.7 533.3 568.7 582.3 617.7 653.0 666.7 702.0 715.7 751.0 786.3 800.0 835.3 849.0 884.3 919.7 933.3 968.7 982.3 1017.7 1053.0 1066.7 1102.0 1115.7 1151.0 1186.3 1200.0 1017.7: 13.7 49.0 84.3 98.0 133.3 147.0 182.3 217.7 231.3 266.7 280.3 315.7 351.0 364.7 400.0 413.7 449.0 484.3 498.0 533.3 547.0 582.3 617.7 631.3 666.7 680.3 715.7 751.0 764.7 800.0 813.7 849.0 884.3 898.0 933.3 947.0 982.3 1017.7 1031.3 1066.7 1080.3 1115.7 1151.0 1164.7 1200.0 1031.3: 35.3 70.7 84.3 119.7 133.3 168.7 204.0 217.7 253.0 266.7 302.0 337.3 351.0 386.3 400.0 435.3 470.7 484.3 519.7 533.3 568.7 604.0 617.7 653.0 666.7 702.0 737.3 751.0 786.3 800.0 835.3 870.7 884.3 919.7 933.3 968.7 1004.0 1017.7 1053.0 1066.7 1102.0 1137.3 1151.0 1186.3 1200.0 1066.7: 35.3 49.0 84.3 98.0 133.3 168.7 182.3 217.7 231.3 266.7 302.0 315.7 351.0 364.7 400.0 435.3 449.0 484.3 498.0 533.3 568.7 582.3 617.7 631.3 666.7 702.0 715.7 751.0 764.7 800.0 835.3 849.0 884.3 898.0 933.3 968.7 982.3 1017.7 1031.3 1066.7 1102.0 1115.7 1151.0 1164.7 1200.0 1102.0: 13.7 49.0 62.7 98.0 133.3 147.0 182.3 196.0 231.3 266.7 280.3 315.7 329.3 364.7 400.0 413.7 449.0 462.7 498.0 533.3 547.0 582.3 596.0 631.3 666.7 680.3 715.7 729.3 764.7 800.0 813.7 849.0 862.7 898.0 933.3 947.0 982.3 996.0 1031.3 1066.7 1080.3 1115.7 1129.3 1164.7 1200.0 1115.7: 35.3 49.0 84.3 119.7 133.3 168.7 182.3 217.7 253.0 266.7 302.0 315.7 351.0 386.3 400.0 435.3 449.0 484.3 519.7 533.3 568.7 582.3 617.7 653.0 666.7 702.0 715.7 751.0 786.3 800.0 835.3 849.0 884.3 919.7 933.3 968.7 982.3 1017.7 1053.0 1066.7 1102.0 1115.7 1151.0 1186.3 1200.0 1151.0: 13.7 49.0 84.3 98.0 133.3 147.0 182.3 217.7 231.3 266.7 280.3 315.7 351.0 364.7 400.0 413.7 449.0 484.3 498.0 533.3 547.0 582.3 617.7 631.3 666.7 680.3 715.7 751.0 764.7 800.0 813.7 849.0 884.3 898.0 933.3 947.0 982.3 1017.7 1031.3 1066.7 1080.3 1115.7 1151.0 1164.7 1200.0 1164.7: 35.3 70.7 84.3 119.7 133.3 168.7 204.0 217.7 253.0 266.7 302.0 337.3 351.0 386.3 400.0 435.3 470.7 484.3 519.7 533.3 568.7 604.0 617.7 653.0 666.7 702.0 737.3 751.0 786.3 800.0 835.3 870.7 884.3 919.7 933.3 968.7 1004.0 1017.7 1053.0 1066.7 1102.0 1137.3 1151.0 1186.3 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 13.6642 .. 35.3350 cents 21.67080 cents 13.66420 cents 2: 48.9992 .. 70.6701 cents 21.67090 cents 13.66420 cents 3: 62.6633 .. 84.3342 cents 21.67090 cents -8.00680 cents 4: 97.9983 .. 119.6692 cents 21.67090 cents 13.66410 cents 5: 133.3333 .. 133.3333 cents 1/1, 0.0000 cents 13.66410 cents 6: 146.9975 .. 168.6684 cents 21.67090 cents 13.66420 cents 7: 182.3325 .. 204.0034 cents 21.67090 cents 13.66410 cents 8: 195.9966 .. 217.6675 cents 21.67090 cents -8.00680 cents 9: 231.3316 .. 253.0025 cents 21.67090 cents 13.66410 cents 10: 266.6667 .. 266.6667 cents 1/1, 0.0000 cents 13.66420 cents 11: 280.3308 .. 302.0017 cents 21.67090 cents 13.66410 cents 12: 315.6658 .. 337.3367 cents 21.67090 cents 13.66410 cents 13: 329.3300 .. 351.0008 cents 21.67080 cents -8.00670 cents 14: 364.6650 .. 386.3358 cents 21.67080 cents 13.66420 cents 15: 400.0000 .. 400.0000 cents 1/1, 0.0000 cents 13.66420 cents 16: 413.6642 .. 435.3350 cents 21.67080 cents 13.66420 cents 17: 448.9992 .. 470.6701 cents 21.67090 cents 13.66420 cents 18: 462.6633 .. 484.3342 cents 21.67090 cents -8.00680 cents 19: 497.9983 .. 519.6692 cents 21.67090 cents 13.66410 cents 20: 533.3333 .. 533.3333 cents 1/1, 0.0000 cents 13.66410 cents 21: 546.9975 .. 568.6684 cents 21.67090 cents 13.66420 cents 22: 582.3325 .. 604.0034 cents 21.67090 cents 13.66410 cents 23: 595.9966 .. 617.6675 cents 21.67090 cents -8.00680 cents 24: 631.3316 .. 653.0025 cents 21.67090 cents 13.66410 cents 25: 666.6667 .. 666.6667 cents 1/1, 0.0000 cents 13.66420 cents 26: 680.3308 .. 702.0017 cents 21.67090 cents 13.66410 cents 27: 715.6658 .. 737.3367 cents 21.67090 cents 13.66410 cents 28: 729.3300 .. 751.0008 cents 21.67080 cents -8.00670 cents 29: 764.6650 .. 786.3358 cents 21.67080 cents 13.66420 cents 30: 800.0000 .. 800.0000 cents 1/1, 0.0000 cents 13.66420 cents 31: 813.6642 .. 835.3350 cents 21.67080 cents 13.66420 cents 32: 848.9992 .. 870.6701 cents 21.67090 cents 13.66420 cents 33: 862.6633 .. 884.3342 cents 21.67090 cents -8.00680 cents 34: 897.9983 .. 919.6692 cents 21.67090 cents 13.66410 cents 35: 933.3333 .. 933.3333 cents 1/1, 0.0000 cents 13.66410 cents 36: 946.9975 .. 968.6684 cents 21.67090 cents 13.66420 cents 37: 982.3325 .. 1004.0034 cents 21.67090 cents 13.66410 cents 38: 995.9966 .. 1017.6675 cents 21.67090 cents -8.00680 cents 39: 1031.3316 .. 1053.0025 cents 21.67090 cents 13.66410 cents 40: 1066.6667 .. 1066.6667 cents 1/1, 0.0000 cents 13.66420 cents 41: 1080.3308 .. 1102.0017 cents 21.67090 cents 13.66410 cents 42: 1115.6658 .. 1137.3367 cents 21.67090 cents 13.66410 cents 43: 1129.3300 .. 1151.0008 cents 21.67080 cents -8.00670 cents 44: 1164.6650 .. 1186.3358 cents 21.67080 cents 13.66420 cents
SHOW DATA
Number of notes : 45 -- Interval properties -- Smallest interval : 13.66410 cents, class 1 Average step (divided formal octave): 26.6667 cents Largest one step interval : 35.33500 cents Average / Smallest step : 1.951586 Largest / Average step : 1.325062 Largest / Smallest step : 2.585973 Median interval of one step : 35.33500 cents, amount: 27 Most common interval of one step : 35.33500 cents, amount: 27 Least squares average step : 26.66045 cents, oct.: 1199.72044 cents Scale is not proper Scale has 9 repeating blocks of 5 notes Blocks have Myhill's property chromas: 21.67080 cents and 8.00660 cents, ratio: 2.706617 generators: 2 of 48.99917 cents and 3 of 84.33417 cents ET pair of linear temperament : 99&171 Scale is distributional even Step pattern alph. order: ABABAABABAABABAABABAABABAABABAABABAABABAABABA Step pattern size order : LSLSLLSLSLLSLSLLSLSLLSLSLLSLSLLSLSLLSLSLLSLSL Scale is a Constant Structure, by a margin of 8.00670 cents Scale diversity : 1.135392 Lumma stability : 0.409925 Lumma impropriety factor : 0.060051 Number of different interval sizes : 80 = 1.81818 / class Number of one step interval sizes : 2 Highest interval variety : 2 Mean interval variety : 1.81818 = 20/11 Median interval variety : 2 Lowest interval variety : 1 Smallest interval difference : 8.00670 cents Most common triad is 0.0 133.333 266.667 cents, amount: 45 Number of recognisable fifths : 63, average 709.8098 cents Number of appreciable fifths : 27, average 702.0017 cents Scale contains two identical disjunct "tetrachords" of 20 notes Formal octave complements present : 45 = 100.0000% Limited transpositions : 5 10 15 20 25 30 35 40 Limited inverse transpositions : 5 10 15 20 25 30 35 40 Inversional symmetry on degrees : 0 5 10 15 20 25 30 35 40 Inversional symmetry on intervals : 2-3 7-8 12-13 17-18 22-23 27-28 32-33 37-38 42-43 -- Rational properties -- Prime limit : 2 (not all pitches rational)
FIT/MODE
45: 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 1 SP B ME I SD: 6.1295 c. M:-8.6684 c. 57: 2 0 2 1 1 2 1 1 1 2 1 1 2 0 2 2 0 2 1 1 2 1 1 1 2 1 1 2 0 2 2 0 2 1 1 2 1 1 1 2 1 1 2 0 2 N B D3 I SD: 5.7325 c. M: 7.2649 c. 61: 2 0 2 1 2 2 0 2 1 2 1 1 2 1 1 2 1 2 0 2 2 1 1 1 2 2 0 2 1 2 1 1 2 1 1 2 1 2 0 2 2 1 2 0 2 N I SD: 5.6777 c. M:-9.6549 c. 62: 2 1 1 1 2 2 0 2 1 2 2 0 2 1 2 1 1 2 1 2 1 1 2 1 1 2 1 2 1 1 2 1 2 0 2 2 1 2 0 2 2 1 1 1 2 N D3 I SD: 5.5912 c. M: 9.5285 c. 63: 2 1 1 1 2 2 1 1 1 2 2 1 1 1 2 2 1 1 1 2 2 1 1 1 2 2 1 1 1 2 2 1 1 1 2 2 1 1 1 2 2 1 1 1 2 N B D3 I SD: 5.4383 c. M:-8.1437 c. 64: 2 1 1 1 2 2 1 2 0 2 2 1 2 0 2 2 1 2 1 1 2 1 2 1 2 1 1 2 1 2 2 0 2 1 2 2 0 2 1 2 2 1 1 1 2 N I SD: 5.4165 c. M: 9.3342 c. 65: 2 1 2 0 2 2 1 2 1 1 2 1 2 1 2 2 0 2 1 2 2 1 1 1 2 2 1 2 0 2 2 1 2 1 2 1 1 2 1 2 2 0 2 1 2 N D3 I SD: 5.3065 c. M:-8.6684 c. 66: 2 1 2 0 2 2 1 2 1 2 2 0 2 1 2 2 1 2 0 2 2 1 2 1 2 2 0 2 1 2 2 1 2 0 2 2 1 2 1 2 2 0 2 1 2 N B D3 I SD: 5.0016 c. M:-7.0892 c. 70: 2 1 2 1 2 2 1 2 0 3 2 0 2 1 2 2 1 2 1 2 2 1 2 1 2 2 1 2 1 2 2 1 2 0 2 3 0 2 1 2 2 1 2 1 2 N I SD: 4.9588 c. M:-8.4745 c. 71: 2 1 2 1 2 2 1 2 1 2 2 1 2 1 2 2 1 2 0 3 2 0 3 0 2 3 0 2 1 2 2 1 2 1 2 2 1 2 1 2 2 1 2 1 2 N I SD: 4.8550 c. M: 7.8575 c. 72: 2 1 2 1 2 2 1 2 1 2 2 1 2 1 2 2 1 2 1 2 2 1 2 1 2 2 1 2 1 2 2 1 2 1 2 2 1 2 1 2 2 1 2 1 2 P B ME I SD: 1.4154 c. M:-2.0017 c. 99: 3 1 3 1 3 3 1 3 1 3 3 1 3 1 3 3 1 3 1 3 3 1 3 1 3 3 1 3 1 3 3 1 3 1 3 3 1 3 1 3 3 1 3 1 3 N B DE I SD: 0.7273 c. M:-1.0286 c. 171: 5 2 5 2 5 5 2 5 2 5 5 2 5 2 5 5 2 5 2 5 5 2 5 2 5 5 2 5 2 5 5 2 5 2 5 5 2 5 2 5 5 2 5 2 5 N B DE I SD: 0.1749 c. M:-0.2473 c. 270: 8 3 8 3 8 8 3 8 3 8 8 3 8 3 8 8 3 8 3 8 8 3 8 3 8 8 3 8 3 8 8 3 8 3 8 8 3 8 3 8 8 3 8 3 8 N B DE I SD: 0.1559 c. M: 0.2206 c. 441: 13 5 13 5 13 13 5 13 5 13 13 5 13 5 13 13 5 13 5 13 13 5 13 5 13 13 5 13 5 13 13 5 13 5 13 13 5 13 5 13 13 5 13 5 13 N B DE I SD: 0.0277 c. M: 0.0391 c. 1053: 31 12 31 12 31 31 12 31 12 31 31 12 31 12 31 31 12 31 12 31 31 12 31 12 31 31 12 31 12 31 31 12 31 12 31 31 12 31 12 31 31 12 31 12 31 N B DE I SD: 0.0052 c. M:-0.0074 c. 1494: 44 17 44 17 44 44 17 44 17 44 44 17 44 17 44 44 17 44 17 44 44 17 44 17 44 44 17 44 17 44 44 17 44 17 44 44 17 44 17 44 44 17 44 17 44 N B DE I SD: 0.0045 c. M: 0.0064 c. 2547: 75 29 75 29 75 75 29 75 29 75 75 29 75 29 75 75 29 75 29 75 75 29 75 29 75 75 29 75 29 75 75 29 75 29 75 75 29 75 29 75 75 29 75 29 75 N B DE I SD: 0.0005 c. M: 0.0007 c.
FIT/HARMONIC
1 .. 2 match: 1 H SD: 0.0000 cents 2 .. 4 match: 2 H SD: 0.0233 cents 3 .. 6 match: 3 H SD: 0.0176 cents 4 .. 8 match: 4 H SD: 3.4218 cents 5 .. 10 match: 5 H SD: 2.7375 cents 6 .. 12 match: 6 H SD: 2.8842 cents 7 .. 14 match: 7 H SD: 2.6031 cents 8 .. 16 match: 8 H SD: 3.7358 cents 9 .. 18 match: 9 H SD: 1.6891 cents 10 .. 20 match: 10 H SD: 2.1535 cents 11 .. 22 match: 11 H SD: 3.2738 cents 12 .. 24 match: 12 H SD: 2.4475 cents 13 .. 26 match: 13 H SD: 2.6921 cents 14 .. 28 match: 14 H SD: 2.5396 cents 15 .. 30 match: 15 H SD: 2.2632 cents 16 .. 32 match: 16 H SD: 2.2697 cents 17 .. 34 match: 17 H SD: 2.1331 cents 18 .. 36 match: 18 H SD: 1.5952 cents 19 .. 38 match: 19 H SD: 2.0372 cents 20 .. 40 match: 20 H SD: 1.9125 cents 21 .. 42 match: 21 H SD: 1.4304 cents 22 .. 44 match: 22 H SD: 1.9194 cents 23 .. 46 match: 23 H SD: 2.2949 cents 24 .. 48 match: 24 H SD: 1.9646 cents 25 .. 50 match: 25 H SD: 1.6150 cents 26 .. 52 match: 26 H SD: 1.9885 cents 27 .. 54 match: 27 H SD: 1.5022 cents 28 .. 56 match: 28 H SD: 1.7275 cents 29 .. 58 match: 29 H SD: 1.9092 cents 30 .. 60 match: 29 S SD: 1.4565 cents 31 .. 62 match: 30 SD: 1.4502 cents 32 .. 64 match: 31 S SD: 1.6441 cents 33 .. 66 match: 31 SD: 1.7974 cents 34 .. 68 match: 34 H SD: 1.3536 cents 35 .. 70 match: 33 SD: 1.2677 cents 36 .. 72 match: 32 SD: 1.1715 cents 37 .. 74 match: 31 SD: 1.4193 cents 38 .. 76 match: 33 SD: 1.2641 cents 39 .. 78 match: 35 SD: 1.2694 cents 40 .. 80 match: 32 SD: 1.4207 cents 41 .. 82 match: 34 SD: 1.2655 cents 42 .. 84 match: 35 SD: 1.2085 cents 43 .. 86 match: 35 SD: 1.2823 cents 44 .. 88 match: 37 SD: 1.2757 cents 45 .. 90 match: 35 SD: 1.2162 cents 46 .. 92 match: 36 SD: 1.2215 cents 47 .. 94 match: 38 SD: 1.0213 cents 48 .. 96 match: 37 SD: 1.1531 cents 49 .. 98 match: 35 SD: 1.0163 cents 50 .. 100 match: 42 SD: 1.0353 cents 51 .. 102 match: 35 SD: 1.0558 cents 52 .. 104 match: 36 SD: 0.9384 cents 53 .. 106 match: 38 SD: 0.9542 cents 54 .. 108 match: 43 SD: 0.9355 cents 55 .. 110 match: 38 SD: 0.9540 cents 56 .. 112 match: 38 SD: 0.9530 cents 57 .. 114 match: 38 SD: 1.0053 cents 58 .. 116 match: 36 SD: 0.9626 cents 59 .. 118 match: 39 SD: 0.8328 cents 60 .. 120 match: 42 SD: 0.8157 cents 61 .. 122 match: 39 SD: 0.8494 cents 62 .. 124 match: 39 SD: 0.8874 cents 63 .. 126 match: 44 SD: 0.8237 cents 64 .. 128 match: 42 SD: 0.8081 cents 65 .. 130 match: 40 SD: 0.7928 cents 66 .. 132 match: 40 SD: 0.7046 cents 67 .. 134 match: 39 SD: 0.8457 cents 68 .. 136 match: 45 SD: 0.7760 cents 69 .. 138 match: 41 SD: 0.8325 cents 70 .. 140 match: 43 SD: 0.7359 cents 71 .. 142 match: 39 SD: 0.7732 cents 72 .. 144 match: 41 SD: 0.6361 cents 73 .. 146 match: 40 SD: 0.7239 cents 74 .. 148 match: 41 SD: 0.6558 cents 75 .. 150 match: 40 SD: 0.6690 cents 76 .. 152 match: 39 SD: 0.6869 cents 77 .. 154 match: 41 SD: 0.6046 cents 78 .. 156 match: 43 SD: 0.7030 cents 79 .. 158 match: 40 SD: 0.7377 cents 80 .. 160 match: 43 SD: 0.6026 cents 81 .. 162 match: 43 SD: 0.6470 cents 82 .. 164 match: 43 SD: 0.7123 cents 83 .. 166 match: 42 SD: 0.7102 cents 84 .. 168 match: 43 SD: 0.5100 cents 85 .. 170 match: 43 SD: 0.5724 cents 86 .. 172 match: 42 SD: 0.6748 cents 87 .. 174 match: 41 SD: 0.6252 cents 88 .. 176 match: 45 SD: 0.5854 cents 90 .. 180 match: 45 SD: 0.5165 cents 91 .. 182 match: 44 SD: 0.6174 cents 92 .. 184 match: 43 SD: 0.5959 cents 93 .. 186 match: 43 SD: 0.6425 cents 94 .. 188 match: 42 SD: 0.5858 cents 95 .. 190 match: 45 SD: 0.5754 cents 96 .. 192 match: 45 SD: 0.5425 cents 97 .. 194 match: 45 SD: 0.5210 cents 98 .. 196 match: 45 SD: 0.4660 cents 101 .. 202 match: 44 SD: 0.5053 cents 102 .. 204 match: 45 SD: 0.4774 cents 103 .. 206 match: 44 SD: 0.5014 cents 105 .. 210 match: 45 SD: 0.4500 cents 111 .. 222 match: 44 SD: 0.4614 cents 115 .. 230 match: 45 SD: 0.4445 cents 119 .. 238 match: 45 SD: 0.4118 cents 126 .. 252 match: 45 SD: 0.3903 cents 134 .. 268 match: 45 SD: 0.3842 cents 135 .. 270 match: 45 SD: 0.3748 cents 136 .. 272 match: 45 SD: 0.3344 cents 155 .. 310 match: 45 SD: 0.3169 cents 162 .. 324 match: 45 SD: 0.3121 cents 168 .. 336 match: 45 SD: 0.3101 cents 174 .. 348 match: 45 SD: 0.2830 cents 180 .. 360 match: 45 SD: 0.2751 cents 186 .. 372 match: 45 SD: 0.2720 cents 188 .. 376 match: 45 SD: 0.2635 cents 196 .. 392 match: 45 SD: 0.2384 cents 200 .. 400 match: 45 SD: 0.2230 cents 216 .. 432 match: 45 SD: 0.2146 cents 236 .. 472 match: 45 SD: 0.2006 cents 240 .. 480 match: 45 SD: 0.1978 cents 245 .. 490 match: 45 SD: 0.1878 cents 252 .. 504 match: 45 SD: 0.1829 cents 276 .. 552 match: 45 SD: 0.1716 cents 294 .. 588 match: 45 SD: 0.1701 cents 300 .. 600 match: 45 SD: 0.1527 cents 322 .. 644 match: 45 SD: 0.1526 cents 324 .. 648 match: 45 SD: 0.1340 cents 350 .. 700 match: 45 SD: 0.1306 cents 378 .. 756 match: 45 SD: 0.1147 cents 427 .. 854 match: 45 SD: 0.1116 cents 440 .. 880 match: 45 SD: 0.1031 cents 477 .. 954 match: 45 SD: 0.1003 cents 480 .. 960 match: 45 SD: 0.0991 cents 486 .. 972 match: 45 SD: 0.0935 cents 516 .. 1032 match: 45 SD: 0.0893 cents 524 .. 1048 match: 45 SD: 0.0884 cents 546 .. 1092 match: 45 SD: 0.0855 cents 560 .. 1120 match: 45 SD: 0.0813 cents 588 .. 1176 match: 45 SD: 0.0684 cents