Scala analysis: line40
|11 -10 -10 10> tempered line scale in 2080et tuning
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 8.654 cents 8.653850 2: 26.538 cents 26.538460 3: 102.115 cents 102.115380 4: 120.000 cents 120.000000 5: 128.654 cents 128.653850 6: 146.538 cents 146.538460 7: 222.115 cents 222.115380 8: 240.000 cents 240.000000 9: 248.654 cents 248.653850 10: 266.538 cents 266.538460 11: 342.115 cents 342.115380 12: 360.000 cents 360.000000 13: 368.654 cents 368.653850 14: 386.538 cents 386.538460 15: 462.115 cents 462.115380 16: 480.000 cents 480.000000 17: 488.654 cents 488.653850 18: 506.538 cents 506.538460 19: 582.115 cents 582.115380 20: 600.000 cents 600.000000 21: 608.654 cents 608.653850 22: 626.538 cents 626.538460 23: 702.115 cents 702.115380 24: 720.000 cents 720.000000 25: 728.654 cents 728.653850 26: 746.538 cents 746.538460 27: 822.115 cents 822.115380 28: 840.000 cents 840.000000 29: 848.654 cents 848.653850 30: 866.538 cents 866.538460 31: 942.115 cents 942.115380 32: 960.000 cents 960.000000 33: 968.654 cents 968.653850 34: 986.538 cents 986.538460 35: 1062.115 cents 1062.115380 36: 1080.000 cents 1080.000000 37: 1088.654 cents 1088.653850 38: 1106.538 cents 1106.538460 39: 1182.115 cents 1182.115380 40: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 17.8846 cents 17.8846 1: 8.6539 cents 8.6539 2: 17.8846 cents 17.8846 3: 75.5769 cents 75.5769 4: 17.8846 cents 17.8846 5: 8.6539 cents 8.6539 6: 17.8846 cents 17.8846 7: 75.5769 cents 75.5769 8: 17.8846 cents 17.8846 9: 8.6538 cents 8.6538 10: 17.8846 cents 17.8846 11: 75.5769 cents 75.5769 12: 17.8846 cents 17.8846 13: 8.6539 cents 8.6539 14: 17.8846 cents 17.8846 15: 75.5769 cents 75.5769 16: 17.8846 cents 17.8846 17: 8.6539 cents 8.6539 18: 17.8846 cents 17.8846 19: 75.5769 cents 75.5769 20: 17.8846 cents 17.8846 21: 8.6539 cents 8.6539 22: 17.8846 cents 17.8846 23: 75.5769 cents 75.5769 24: 17.8846 cents 17.8846 25: 8.6539 cents 8.6539 26: 17.8846 cents 17.8846 27: 75.5769 cents 75.5769 28: 17.8846 cents 17.8846 29: 8.6539 cents 8.6539 30: 17.8846 cents 17.8846 31: 75.5769 cents 75.5769 32: 17.8846 cents 17.8846 33: 8.6539 cents 8.6539 34: 17.8846 cents 17.8846 35: 75.5769 cents 75.5769 36: 17.8846 cents 17.8846 37: 8.6539 cents 8.6539 38: 17.8846 cents 17.8846 39: 75.5769 cents 75.5769 40: 17.8846 cents 17.8846
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 10 8.65385 cents 1: 20 17.88461 cents 1: 10 75.57692 cents 2: 20 26.53846 cents 2: 20 93.46153 cents 3: 10 44.42308 cents 3: 20 102.11538 cents 3: 10 111.34615 cents 4: 40 120.00000 cents 5: 10 128.65385 cents 5: 20 137.88461 cents 5: 10 195.57692 cents 6: 20 146.53846 cents 6: 20 213.46153 cents 7: 10 164.42308 cents 7: 20 222.11538 cents 7: 10 231.34615 cents 8: 40 240.00000 cents 9: 10 248.65385 cents 9: 20 257.88461 cents 9: 10 315.57692 cents 10: 20 266.53846 cents 10: 20 333.46153 cents 11: 10 284.42308 cents 11: 20 342.11538 cents 11: 10 351.34615 cents 12: 40 360.00000 cents 13: 10 368.65385 cents 13: 20 377.88461 cents 13: 10 435.57692 cents 14: 20 386.53846 cents 14: 20 453.46153 cents 15: 10 404.42308 cents 15: 20 462.11538 cents 15: 10 471.34615 cents 16: 40 480.00000 cents 17: 10 488.65385 cents 17: 20 497.88461 cents 17: 10 555.57692 cents 18: 20 506.53846 cents 18: 20 573.46153 cents 19: 10 524.42308 cents 19: 20 582.11538 cents 19: 10 591.34615 cents 20: 40 600.00000 cents 21: 10 608.65385 cents 21: 20 617.88461 cents 21: 10 675.57692 cents 22: 20 626.53846 cents 22: 20 693.46153 cents 23: 10 644.42308 cents 23: 20 702.11538 cents 23: 10 711.34615 cents 24: 40 720.00000 cents 25: 10 728.65385 cents 25: 20 737.88461 cents 25: 10 795.57692 cents 26: 20 746.53846 cents 26: 20 813.46153 cents 27: 10 764.42308 cents 27: 20 822.11538 cents 27: 10 831.34615 cents 28: 40 840.00000 cents 29: 10 848.65385 cents 29: 20 857.88461 cents 29: 10 915.57692 cents 30: 20 866.53846 cents 30: 20 933.46153 cents 31: 10 884.42308 cents 31: 20 942.11538 cents 31: 10 951.34615 cents 32: 40 960.00000 cents 33: 10 968.65385 cents 33: 20 977.88461 cents 33: 10 1035.57692 cents 34: 20 986.53846 cents 34: 20 1053.46153 cents 35: 10 1004.42308 cents 35: 20 1062.11538 cents 35: 10 1071.34615 cents 36: 40 1080.00000 cents 37: 10 1088.65385 cents 37: 20 1097.88461 cents 37: 10 1155.57692 cents 38: 20 1106.53846 cents 38: 20 1173.46153 cents 39: 10 1124.42308 cents 39: 20 1182.11538 cents 39: 10 1191.34615 cents Highest number of different intervals for one interval class: 3 Average number of different intervals per interval class: 2.28205 = 89/39
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 0.0 : 8.7 26.5 102.1 120.0 128.7 146.5 222.1 240.0 248.7 266.5 342.1 360.0 368.7 386.5 462.1 480.0 488.7 506.5 582.1 600.0 608.7 626.5 702.1 720.0 728.7 746.5 822.1 840.0 848.7 866.5 942.1 960.0 968.7 986.5 1062.1 1080.0 1088.7 1106.5 1182.1 1200.0 8.7 : 17.9 93.5 111.3 120.0 137.9 213.5 231.3 240.0 257.9 333.5 351.3 360.0 377.9 453.5 471.3 480.0 497.9 573.5 591.3 600.0 617.9 693.5 711.3 720.0 737.9 813.5 831.3 840.0 857.9 933.5 951.3 960.0 977.9 1053.5 1071.3 1080.0 1097.9 1173.5 1191.3 1200.0 26.5 : 75.6 93.5 102.1 120.0 195.6 213.5 222.1 240.0 315.6 333.5 342.1 360.0 435.6 453.5 462.1 480.0 555.6 573.5 582.1 600.0 675.6 693.5 702.1 720.0 795.6 813.5 822.1 840.0 915.6 933.5 942.1 960.0 1035.6 1053.5 1062.1 1080.0 1155.6 1173.5 1182.1 1200.0 102.1 : 17.9 26.5 44.4 120.0 137.9 146.5 164.4 240.0 257.9 266.5 284.4 360.0 377.9 386.5 404.4 480.0 497.9 506.5 524.4 600.0 617.9 626.5 644.4 720.0 737.9 746.5 764.4 840.0 857.9 866.5 884.4 960.0 977.9 986.5 1004.4 1080.0 1097.9 1106.5 1124.4 1200.0 120.0 : 8.7 26.5 102.1 120.0 128.7 146.5 222.1 240.0 248.7 266.5 342.1 360.0 368.7 386.5 462.1 480.0 488.7 506.5 582.1 600.0 608.7 626.5 702.1 720.0 728.7 746.5 822.1 840.0 848.7 866.5 942.1 960.0 968.7 986.5 1062.1 1080.0 1088.7 1106.5 1182.1 1200.0 128.7 : 17.9 93.5 111.3 120.0 137.9 213.5 231.3 240.0 257.9 333.5 351.3 360.0 377.9 453.5 471.3 480.0 497.9 573.5 591.3 600.0 617.9 693.5 711.3 720.0 737.9 813.5 831.3 840.0 857.9 933.5 951.3 960.0 977.9 1053.5 1071.3 1080.0 1097.9 1173.5 1191.3 1200.0 146.5 : 75.6 93.5 102.1 120.0 195.6 213.5 222.1 240.0 315.6 333.5 342.1 360.0 435.6 453.5 462.1 480.0 555.6 573.5 582.1 600.0 675.6 693.5 702.1 720.0 795.6 813.5 822.1 840.0 915.6 933.5 942.1 960.0 1035.6 1053.5 1062.1 1080.0 1155.6 1173.5 1182.1 1200.0 222.1 : 17.9 26.5 44.4 120.0 137.9 146.5 164.4 240.0 257.9 266.5 284.4 360.0 377.9 386.5 404.4 480.0 497.9 506.5 524.4 600.0 617.9 626.5 644.4 720.0 737.9 746.5 764.4 840.0 857.9 866.5 884.4 960.0 977.9 986.5 1004.4 1080.0 1097.9 1106.5 1124.4 1200.0 240.0 : 8.7 26.5 102.1 120.0 128.7 146.5 222.1 240.0 248.7 266.5 342.1 360.0 368.7 386.5 462.1 480.0 488.7 506.5 582.1 600.0 608.7 626.5 702.1 720.0 728.7 746.5 822.1 840.0 848.7 866.5 942.1 960.0 968.7 986.5 1062.1 1080.0 1088.7 1106.5 1182.1 1200.0 248.7 : 17.9 93.5 111.3 120.0 137.9 213.5 231.3 240.0 257.9 333.5 351.3 360.0 377.9 453.5 471.3 480.0 497.9 573.5 591.3 600.0 617.9 693.5 711.3 720.0 737.9 813.5 831.3 840.0 857.9 933.5 951.3 960.0 977.9 1053.5 1071.3 1080.0 1097.9 1173.5 1191.3 1200.0 266.5 : 75.6 93.5 102.1 120.0 195.6 213.5 222.1 240.0 315.6 333.5 342.1 360.0 435.6 453.5 462.1 480.0 555.6 573.5 582.1 600.0 675.6 693.5 702.1 720.0 795.6 813.5 822.1 840.0 915.6 933.5 942.1 960.0 1035.6 1053.5 1062.1 1080.0 1155.6 1173.5 1182.1 1200.0 342.1 : 17.9 26.5 44.4 120.0 137.9 146.5 164.4 240.0 257.9 266.5 284.4 360.0 377.9 386.5 404.4 480.0 497.9 506.5 524.4 600.0 617.9 626.5 644.4 720.0 737.9 746.5 764.4 840.0 857.9 866.5 884.4 960.0 977.9 986.5 1004.4 1080.0 1097.9 1106.5 1124.4 1200.0 360.0 : 8.7 26.5 102.1 120.0 128.7 146.5 222.1 240.0 248.7 266.5 342.1 360.0 368.7 386.5 462.1 480.0 488.7 506.5 582.1 600.0 608.7 626.5 702.1 720.0 728.7 746.5 822.1 840.0 848.7 866.5 942.1 960.0 968.7 986.5 1062.1 1080.0 1088.7 1106.5 1182.1 1200.0 368.7 : 17.9 93.5 111.3 120.0 137.9 213.5 231.3 240.0 257.9 333.5 351.3 360.0 377.9 453.5 471.3 480.0 497.9 573.5 591.3 600.0 617.9 693.5 711.3 720.0 737.9 813.5 831.3 840.0 857.9 933.5 951.3 960.0 977.9 1053.5 1071.3 1080.0 1097.9 1173.5 1191.3 1200.0 386.5 : 75.6 93.5 102.1 120.0 195.6 213.5 222.1 240.0 315.6 333.5 342.1 360.0 435.6 453.5 462.1 480.0 555.6 573.5 582.1 600.0 675.6 693.5 702.1 720.0 795.6 813.5 822.1 840.0 915.6 933.5 942.1 960.0 1035.6 1053.5 1062.1 1080.0 1155.6 1173.5 1182.1 1200.0 462.1 : 17.9 26.5 44.4 120.0 137.9 146.5 164.4 240.0 257.9 266.5 284.4 360.0 377.9 386.5 404.4 480.0 497.9 506.5 524.4 600.0 617.9 626.5 644.4 720.0 737.9 746.5 764.4 840.0 857.9 866.5 884.4 960.0 977.9 986.5 1004.4 1080.0 1097.9 1106.5 1124.4 1200.0 480.0 : 8.7 26.5 102.1 120.0 128.7 146.5 222.1 240.0 248.7 266.5 342.1 360.0 368.7 386.5 462.1 480.0 488.7 506.5 582.1 600.0 608.7 626.5 702.1 720.0 728.7 746.5 822.1 840.0 848.7 866.5 942.1 960.0 968.7 986.5 1062.1 1080.0 1088.7 1106.5 1182.1 1200.0 488.7 : 17.9 93.5 111.3 120.0 137.9 213.5 231.3 240.0 257.9 333.5 351.3 360.0 377.9 453.5 471.3 480.0 497.9 573.5 591.3 600.0 617.9 693.5 711.3 720.0 737.9 813.5 831.3 840.0 857.9 933.5 951.3 960.0 977.9 1053.5 1071.3 1080.0 1097.9 1173.5 1191.3 1200.0 506.5 : 75.6 93.5 102.1 120.0 195.6 213.5 222.1 240.0 315.6 333.5 342.1 360.0 435.6 453.5 462.1 480.0 555.6 573.5 582.1 600.0 675.6 693.5 702.1 720.0 795.6 813.5 822.1 840.0 915.6 933.5 942.1 960.0 1035.6 1053.5 1062.1 1080.0 1155.6 1173.5 1182.1 1200.0 582.1 : 17.9 26.5 44.4 120.0 137.9 146.5 164.4 240.0 257.9 266.5 284.4 360.0 377.9 386.5 404.4 480.0 497.9 506.5 524.4 600.0 617.9 626.5 644.4 720.0 737.9 746.5 764.4 840.0 857.9 866.5 884.4 960.0 977.9 986.5 1004.4 1080.0 1097.9 1106.5 1124.4 1200.0 600.0 : 8.7 26.5 102.1 120.0 128.7 146.5 222.1 240.0 248.7 266.5 342.1 360.0 368.7 386.5 462.1 480.0 488.7 506.5 582.1 600.0 608.7 626.5 702.1 720.0 728.7 746.5 822.1 840.0 848.7 866.5 942.1 960.0 968.7 986.5 1062.1 1080.0 1088.7 1106.5 1182.1 1200.0 608.7 : 17.9 93.5 111.3 120.0 137.9 213.5 231.3 240.0 257.9 333.5 351.3 360.0 377.9 453.5 471.3 480.0 497.9 573.5 591.3 600.0 617.9 693.5 711.3 720.0 737.9 813.5 831.3 840.0 857.9 933.5 951.3 960.0 977.9 1053.5 1071.3 1080.0 1097.9 1173.5 1191.3 1200.0 626.5 : 75.6 93.5 102.1 120.0 195.6 213.5 222.1 240.0 315.6 333.5 342.1 360.0 435.6 453.5 462.1 480.0 555.6 573.5 582.1 600.0 675.6 693.5 702.1 720.0 795.6 813.5 822.1 840.0 915.6 933.5 942.1 960.0 1035.6 1053.5 1062.1 1080.0 1155.6 1173.5 1182.1 1200.0 702.1 : 17.9 26.5 44.4 120.0 137.9 146.5 164.4 240.0 257.9 266.5 284.4 360.0 377.9 386.5 404.4 480.0 497.9 506.5 524.4 600.0 617.9 626.5 644.4 720.0 737.9 746.5 764.4 840.0 857.9 866.5 884.4 960.0 977.9 986.5 1004.4 1080.0 1097.9 1106.5 1124.4 1200.0 720.0 : 8.7 26.5 102.1 120.0 128.7 146.5 222.1 240.0 248.7 266.5 342.1 360.0 368.7 386.5 462.1 480.0 488.7 506.5 582.1 600.0 608.7 626.5 702.1 720.0 728.7 746.5 822.1 840.0 848.7 866.5 942.1 960.0 968.7 986.5 1062.1 1080.0 1088.7 1106.5 1182.1 1200.0 728.7 : 17.9 93.5 111.3 120.0 137.9 213.5 231.3 240.0 257.9 333.5 351.3 360.0 377.9 453.5 471.3 480.0 497.9 573.5 591.3 600.0 617.9 693.5 711.3 720.0 737.9 813.5 831.3 840.0 857.9 933.5 951.3 960.0 977.9 1053.5 1071.3 1080.0 1097.9 1173.5 1191.3 1200.0 746.5 : 75.6 93.5 102.1 120.0 195.6 213.5 222.1 240.0 315.6 333.5 342.1 360.0 435.6 453.5 462.1 480.0 555.6 573.5 582.1 600.0 675.6 693.5 702.1 720.0 795.6 813.5 822.1 840.0 915.6 933.5 942.1 960.0 1035.6 1053.5 1062.1 1080.0 1155.6 1173.5 1182.1 1200.0 822.1 : 17.9 26.5 44.4 120.0 137.9 146.5 164.4 240.0 257.9 266.5 284.4 360.0 377.9 386.5 404.4 480.0 497.9 506.5 524.4 600.0 617.9 626.5 644.4 720.0 737.9 746.5 764.4 840.0 857.9 866.5 884.4 960.0 977.9 986.5 1004.4 1080.0 1097.9 1106.5 1124.4 1200.0 840.0 : 8.7 26.5 102.1 120.0 128.7 146.5 222.1 240.0 248.7 266.5 342.1 360.0 368.7 386.5 462.1 480.0 488.7 506.5 582.1 600.0 608.7 626.5 702.1 720.0 728.7 746.5 822.1 840.0 848.7 866.5 942.1 960.0 968.7 986.5 1062.1 1080.0 1088.7 1106.5 1182.1 1200.0 848.7 : 17.9 93.5 111.3 120.0 137.9 213.5 231.3 240.0 257.9 333.5 351.3 360.0 377.9 453.5 471.3 480.0 497.9 573.5 591.3 600.0 617.9 693.5 711.3 720.0 737.9 813.5 831.3 840.0 857.9 933.5 951.3 960.0 977.9 1053.5 1071.3 1080.0 1097.9 1173.5 1191.3 1200.0 866.5 : 75.6 93.5 102.1 120.0 195.6 213.5 222.1 240.0 315.6 333.5 342.1 360.0 435.6 453.5 462.1 480.0 555.6 573.5 582.1 600.0 675.6 693.5 702.1 720.0 795.6 813.5 822.1 840.0 915.6 933.5 942.1 960.0 1035.6 1053.5 1062.1 1080.0 1155.6 1173.5 1182.1 1200.0 942.1 : 17.9 26.5 44.4 120.0 137.9 146.5 164.4 240.0 257.9 266.5 284.4 360.0 377.9 386.5 404.4 480.0 497.9 506.5 524.4 600.0 617.9 626.5 644.4 720.0 737.9 746.5 764.4 840.0 857.9 866.5 884.4 960.0 977.9 986.5 1004.4 1080.0 1097.9 1106.5 1124.4 1200.0 960.0 : 8.7 26.5 102.1 120.0 128.7 146.5 222.1 240.0 248.7 266.5 342.1 360.0 368.7 386.5 462.1 480.0 488.7 506.5 582.1 600.0 608.7 626.5 702.1 720.0 728.7 746.5 822.1 840.0 848.7 866.5 942.1 960.0 968.7 986.5 1062.1 1080.0 1088.7 1106.5 1182.1 1200.0 968.7 : 17.9 93.5 111.3 120.0 137.9 213.5 231.3 240.0 257.9 333.5 351.3 360.0 377.9 453.5 471.3 480.0 497.9 573.5 591.3 600.0 617.9 693.5 711.3 720.0 737.9 813.5 831.3 840.0 857.9 933.5 951.3 960.0 977.9 1053.5 1071.3 1080.0 1097.9 1173.5 1191.3 1200.0 986.5 : 75.6 93.5 102.1 120.0 195.6 213.5 222.1 240.0 315.6 333.5 342.1 360.0 435.6 453.5 462.1 480.0 555.6 573.5 582.1 600.0 675.6 693.5 702.1 720.0 795.6 813.5 822.1 840.0 915.6 933.5 942.1 960.0 1035.6 1053.5 1062.1 1080.0 1155.6 1173.5 1182.1 1200.0 1062.1: 17.9 26.5 44.4 120.0 137.9 146.5 164.4 240.0 257.9 266.5 284.4 360.0 377.9 386.5 404.4 480.0 497.9 506.5 524.4 600.0 617.9 626.5 644.4 720.0 737.9 746.5 764.4 840.0 857.9 866.5 884.4 960.0 977.9 986.5 1004.4 1080.0 1097.9 1106.5 1124.4 1200.0 1080.0: 8.7 26.5 102.1 120.0 128.7 146.5 222.1 240.0 248.7 266.5 342.1 360.0 368.7 386.5 462.1 480.0 488.7 506.5 582.1 600.0 608.7 626.5 702.1 720.0 728.7 746.5 822.1 840.0 848.7 866.5 942.1 960.0 968.7 986.5 1062.1 1080.0 1088.7 1106.5 1182.1 1200.0 1088.7: 17.9 93.5 111.3 120.0 137.9 213.5 231.3 240.0 257.9 333.5 351.3 360.0 377.9 453.5 471.3 480.0 497.9 573.5 591.3 600.0 617.9 693.5 711.3 720.0 737.9 813.5 831.3 840.0 857.9 933.5 951.3 960.0 977.9 1053.5 1071.3 1080.0 1097.9 1173.5 1191.3 1200.0 1106.5: 75.6 93.5 102.1 120.0 195.6 213.5 222.1 240.0 315.6 333.5 342.1 360.0 435.6 453.5 462.1 480.0 555.6 573.5 582.1 600.0 675.6 693.5 702.1 720.0 795.6 813.5 822.1 840.0 915.6 933.5 942.1 960.0 1035.6 1053.5 1062.1 1080.0 1155.6 1173.5 1182.1 1200.0 1182.1: 17.9 26.5 44.4 120.0 137.9 146.5 164.4 240.0 257.9 266.5 284.4 360.0 377.9 386.5 404.4 480.0 497.9 506.5 524.4 600.0 617.9 626.5 644.4 720.0 737.9 746.5 764.4 840.0 857.9 866.5 884.4 960.0 977.9 986.5 1004.4 1080.0 1097.9 1106.5 1124.4 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 8.6539 .. 75.5769 cents 66.92307 cents 8.65385 cents 2: 26.5385 .. 93.4615 cents 66.92307 cents -49.03846 cents 3: 44.4231 .. 111.3461 cents 66.92307 cents -49.03845 cents 4: 120.0000 .. 120.0000 cents 1/1, 0.0000 cents 8.65385 cents 5: 128.6539 .. 195.5769 cents 66.92307 cents 8.65385 cents 6: 146.5385 .. 213.4615 cents 66.92307 cents -49.03846 cents 7: 164.4231 .. 231.3462 cents 66.92307 cents -49.03845 cents 8: 240.0000 .. 240.0000 cents 1/1, 0.0000 cents 8.65385 cents 9: 248.6539 .. 315.5769 cents 66.92307 cents 8.65385 cents 10: 266.5385 .. 333.4615 cents 66.92307 cents -49.03846 cents 11: 284.4231 .. 351.3461 cents 66.92307 cents -49.03845 cents 12: 360.0000 .. 360.0000 cents 1/1, 0.0000 cents 8.65385 cents 13: 368.6539 .. 435.5769 cents 66.92307 cents 8.65385 cents 14: 386.5385 .. 453.4615 cents 66.92307 cents -49.03846 cents 15: 404.4231 .. 471.3461 cents 66.92307 cents -49.03845 cents 16: 480.0000 .. 480.0000 cents 1/1, 0.0000 cents 8.65385 cents 17: 488.6538 .. 555.5769 cents 66.92307 cents 8.65385 cents 18: 506.5385 .. 573.4615 cents 66.92307 cents -49.03846 cents 19: 524.4231 .. 591.3461 cents 66.92307 cents -49.03845 cents 20: 600.0000 .. 600.0000 cents 1/1, 0.0000 cents 8.65385 cents 21: 608.6539 .. 675.5769 cents 66.92307 cents 8.65385 cents 22: 626.5385 .. 693.4615 cents 66.92307 cents -49.03846 cents 23: 644.4231 .. 711.3461 cents 66.92307 cents -49.03845 cents 24: 720.0000 .. 720.0000 cents 1/1, 0.0000 cents 8.65385 cents 25: 728.6539 .. 795.5769 cents 66.92307 cents 8.65385 cents 26: 746.5385 .. 813.4615 cents 66.92307 cents -49.03846 cents 27: 764.4231 .. 831.3461 cents 66.92307 cents -49.03845 cents 28: 840.0000 .. 840.0000 cents 1/1, 0.0000 cents 8.65385 cents 29: 848.6539 .. 915.5769 cents 66.92307 cents 8.65385 cents 30: 866.5385 .. 933.4615 cents 66.92307 cents -49.03846 cents 31: 884.4231 .. 951.3461 cents 66.92307 cents -49.03845 cents 32: 960.0000 .. 960.0000 cents 1/1, 0.0000 cents 8.65385 cents 33: 968.6538 .. 1035.5769 cents 66.92307 cents 8.65385 cents 34: 986.5385 .. 1053.4615 cents 66.92307 cents -49.03846 cents 35: 1004.4231 .. 1071.3461 cents 66.92307 cents -49.03845 cents 36: 1080.0000 .. 1080.0000 cents 1/1, 0.0000 cents 8.65385 cents 37: 1088.6539 .. 1155.5769 cents 66.92307 cents 8.65385 cents 38: 1106.5385 .. 1173.4615 cents 66.92307 cents -49.03846 cents 39: 1124.4231 .. 1191.3461 cents 66.92307 cents -49.03845 cents
SHOW DATA
Number of notes : 40 -- Interval properties -- Smallest interval : 8.65385 cents, class 1 Average step (divided formal octave): 30.0000 cents Largest one step interval : 75.57692 cents Average / Smallest step : 3.466665 Largest / Average step : 2.519231 Largest / Smallest step : 8.733329 Median interval of one step : 17.88461 cents, amount: 20 Most common interval of one step : 17.88461 cents, amount: 20 Least squares average step : 29.62946 cents, oct.: 1185.17824 cents Scale is not proper Scale has 10 repeating blocks of 4 notes Scale is 3-distributional even Scale is a mode of a 2080-tone equal temperament with octave 1200.000 cents degrees: 15 46 177 208 223 254 385 416 431 462 593 624 639 670 801 832 847 878 1009 1040 1055 1086 1217 1248 1263 1294 1425 1456 1471 1502 1633 1664 1679 1710 1841 1872 1887 1918 2049 2080 Least number of segments generator : 1047 of 604.038 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 1117 of 644.423 cents and inv. generated superset size: 1884 = 1844 more = 4710.000% Number of contiguous 1-step segments: 0 Step pattern alph. order: ABCBABCBABCBABCBABCBABCBABCBABCBABCBABCB Step pattern size order : SMLMSMLMSMLMSMLMSMLMSMLMSMLMSMLMSMLMSMLM Scale is a Constant Structure, by a margin of 8.65385 cents Scale diversity : 1.148675 Lumma stability : 0.144231 Lumma impropriety factor : 0.557692 Number of different interval sizes : 89 = 2.28205 / class Number of one step interval sizes : 3 Highest interval variety : 3 Mean interval variety : 2.28205 = 89/39 Median interval variety : 3 Lowest interval variety : 1 Smallest interval difference : 8.65385 cents Most common triad is 0.0 120.000 240.000 cents, amount: 40 Number of recognisable fifths : 90, average 709.1667 cents Number of appreciable fifths : 50, average 700.5000 cents Scale contains two identical disjunct "tetrachords" of 19 notes Formal octave complements present : 10 = 25.0000% Limited transpositions : 4 8 12 16 20 24 28 32 36 Limited inverse transpositions : 1 5 9 13 17 21 25 29 33 37 Inversional symmetry on intervals : 0-1 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 -- Rational properties --
FIT/MODE
40: 0 1 2 1 0 1 2 1 0 1 2 1 0 1 2 1 0 1 2 1 0 1 2 1 0 1 2 1 0 1 2 1 0 1 2 1 0 1 2 1 N B D3 SD: 7.6429 c. M: 12.1154 c. 46: 0 1 3 1 0 1 3 0 1 0 3 1 0 1 3 0 1 0 3 1 0 1 3 1 0 1 3 0 1 0 3 1 0 1 3 0 1 0 3 1 N B SD: 7.5188 c. M:-12.6672 c. 47: 0 1 3 1 0 1 3 0 1 0 3 1 0 1 3 1 0 1 3 0 1 1 2 1 1 0 3 1 0 1 3 1 0 1 3 0 1 0 3 1 N SD: 7.3909 c. M: 12.7660 c. 49: 0 1 3 1 0 1 3 1 0 1 3 1 0 1 3 1 0 1 3 0 1 1 3 0 1 0 4 0 1 0 3 1 1 0 3 1 0 1 3 1 N SD: 7.0770 c. M: 12.2449 c. 50: 0 1 3 1 0 1 3 1 0 1 3 1 0 1 3 1 0 1 3 1 0 1 3 1 0 1 3 1 0 1 3 1 0 1 3 1 0 1 3 1 N B D3 SD: 5.4482 c. M: 8.6539 c. 68: 0 2 4 1 0 1 5 1 0 1 4 1 1 1 4 1 1 1 4 1 0 2 4 1 0 1 5 1 0 1 4 1 1 1 4 1 1 1 4 1 N B SD: 5.1267 c. M:-8.7557 c. 72: 1 1 4 1 1 1 4 1 1 1 5 1 0 1 5 1 0 1 5 1 1 1 4 1 1 1 4 1 1 1 5 1 0 1 5 1 0 1 5 1 N B SD: 4.8011 c. M:-8.0128 c. 78: 1 1 5 1 0 2 4 2 0 1 5 1 1 1 5 1 1 1 5 1 1 1 5 1 0 2 4 2 0 1 5 1 1 1 5 1 1 1 5 1 N B SD: 4.4084 c. M:-7.3077 c. 79: 1 1 5 1 0 2 5 1 0 2 5 1 0 1 5 2 0 1 5 1 1 1 5 1 1 1 5 1 1 1 5 1 1 1 5 1 1 1 5 1 N SD: 4.3870 c. M: 7.5949 c. 80: 1 1 5 1 1 1 5 1 1 1 5 1 1 1 5 1 1 1 5 1 1 1 5 1 1 1 5 1 1 1 5 1 1 1 5 1 1 1 5 1 N B DE SD: 3.8916 c. M:-6.3462 c. 82: 1 1 5 1 1 1 5 1 1 1 5 2 0 1 6 1 0 2 5 1 1 1 5 1 1 1 5 1 1 1 5 2 0 1 6 1 0 2 5 1 N B SD: 4.1440 c. M:-6.1773 c. 84: 1 1 5 1 1 1 6 1 0 2 5 1 1 1 5 2 0 1 6 1 1 1 5 1 1 1 6 1 0 2 5 1 1 1 5 2 0 1 6 1 N B SD: 4.0787 c. M: 6.5385 c. 88: 1 1 5 2 0 2 5 2 0 2 5 1 1 1 6 1 1 1 6 1 1 1 5 2 0 2 5 2 0 2 5 1 1 1 6 1 1 1 6 1 N B SD: 3.9281 c. M: 6.6608 c. 89: 1 1 6 1 1 1 5 2 0 2 5 2 0 2 5 2 0 2 5 1 1 1 6 1 1 1 6 1 1 1 6 1 1 1 6 1 1 1 6 1 N SD: 3.8930 c. M: 6.7416 c. 90: 1 1 6 1 1 1 6 1 1 1 6 1 1 1 6 1 1 1 6 1 1 1 6 1 1 1 6 1 1 1 6 1 1 1 6 1 1 1 6 1 N B DE SD: 3.2645 c. M:-4.6795 c. 106: 1 1 7 2 0 2 7 1 1 2 6 2 1 1 7 1 1 2 6 2 1 1 7 2 0 2 7 1 1 2 6 2 1 1 7 1 1 2 6 2 N B SD: 3.2258 c. M:-5.1597 c. 108: 1 1 7 2 1 1 7 2 0 2 7 1 1 2 7 1 1 2 6 2 1 1 7 2 1 1 7 2 0 2 7 1 1 2 7 1 1 2 6 2 N B SD: 3.1460 c. M:-4.6795 c. 112: 1 1 8 1 1 2 7 1 1 2 7 2 0 2 7 2 1 1 7 2 1 1 8 1 1 2 7 1 1 2 7 2 0 2 7 2 1 1 7 2 N B SD: 3.0810 c. M: 5.1099 c. 117: 1 2 7 2 1 1 8 1 1 2 7 2 1 2 7 2 1 1 8 1 1 2 7 2 1 2 7 2 1 1 8 2 0 2 8 1 1 2 7 2 N SD: 2.9637 c. M: 5.1282 c. 119: 1 2 7 2 1 2 7 2 1 1 8 2 1 1 8 2 0 2 8 1 1 2 8 1 1 2 8 1 1 2 7 2 1 2 7 2 1 2 7 2 N SD: 2.9115 c. M: 5.0420 c. 120: 1 2 7 2 1 2 7 2 1 2 7 2 1 2 7 2 1 2 7 2 1 2 7 2 1 2 7 2 1 2 7 2 1 2 7 2 1 2 7 2 N B D3 SD: 2.1371 c. M:-3.4615 c. 130: 1 2 8 2 1 2 8 2 1 2 8 2 1 2 8 2 1 2 8 2 1 2 8 2 1 2 8 2 1 2 8 2 1 2 8 2 1 2 8 2 N B D3 SD: 0.7066 c. M:-1.1538 c. 140: 1 2 9 2 1 2 9 2 1 2 9 2 1 2 9 2 1 2 9 2 1 2 9 2 1 2 9 2 1 2 9 2 1 2 9 2 1 2 9 2 N B D3 SD: 0.5559 c. M: 0.8242 c. 270: 2 4 17 4 2 4 17 4 2 4 17 4 2 4 17 4 2 4 17 4 2 4 17 4 2 4 17 4 2 4 17 4 2 4 17 4 2 4 17 4 N B D3 SD: 0.1441 c. M:-0.2350 c. 950: 7 14 60 14 7 14 60 14 7 14 60 14 7 14 60 14 7 14 60 14 7 14 60 14 7 14 60 14 7 14 60 14 7 14 60 14 7 14 60 14 N B D3 SD: 0.1376 c. M:-0.2004 c. 1130: 8 17 71 17 8 17 71 17 8 17 71 17 8 17 71 17 8 17 71 17 8 17 71 17 8 17 71 17 8 17 71 17 8 17 71 17 8 17 71 17 N B D3 SD: 0.1157 c. M: 0.1685 c. 1270: 9 19 80 19 9 19 80 19 9 19 80 19 9 19 80 19 9 19 80 19 9 19 80 19 9 19 80 19 9 19 80 19 9 19 80 19 9 19 80 19 N B D3 SD: 0.0919 c. M: 0.1499 c. 1400: 10 21 88 21 10 21 88 21 10 21 88 21 10 21 88 21 10 21 88 21 10 21 88 21 10 21 88 21 10 21 88 21 10 21 88 21 10 21 88 21 N B D3 SD: 0.0728 c. M: 0.1154 c. 1540: 11 23 97 23 11 23 97 23 11 23 97 23 11 23 97 23 11 23 97 23 11 23 97 23 11 23 97 23 11 23 97 23 11 23 97 23 11 23 97 23 N B D3 SD: 0.0505 c. M: 0.0824 c. 1670: 12 25 105 25 12 25 105 25 12 25 105 25 12 25 105 25 12 25 105 25 12 25 105 25 12 25 105 25 12 25 105 25 12 25 105 25 12 25 105 25 N B D3 SD: 0.0490 c. M: 0.0795 c. 1810: 13 27 114 27 13 27 114 27 13 27 114 27 13 27 114 27 13 27 114 27 13 27 114 27 13 27 114 27 13 27 114 27 13 27 114 27 13 27 114 27 N B D3 SD: 0.0215 c. M: 0.0351 c. 2080: 15 31 131 31 15 31 131 31 15 31 131 31 15 31 131 31 15 31 131 31 15 31 131 31 15 31 131 31 15 31 131 31 15 31 131 31 15 31 131 31 N B D3 SD: 0.0000 c. M:-0.0000 c.
FIT/HARMONIC
1 .. 2 match: 1 H SD: 0.0000 cents 2 .. 4 match: 2 H SD: 0.0802 cents 3 .. 6 match: 3 H SD: 6.5803 cents 4 .. 8 match: 4 H SD: 0.0813 cents 5 .. 10 match: 5 H SD: 8.3347 cents 6 .. 12 match: 6 H SD: 3.9174 cents 7 .. 14 match: 7 H SD: 6.8941 cents 8 .. 16 match: 8 H SD: 4.4729 cents 9 .. 18 match: 9 H SD: 5.2877 cents 10 .. 20 match: 10 H SD: 5.2085 cents 11 .. 22 match: 11 H SD: 5.6701 cents 12 .. 24 match: 12 H SD: 3.4577 cents 13 .. 26 match: 13 H SD: 4.2047 cents 14 .. 28 match: 14 H SD: 4.5927 cents 15 .. 30 match: 14 S SD: 4.6157 cents 16 .. 32 match: 13 S SD: 4.2179 cents 17 .. 34 match: 15 S SD: 3.6500 cents 18 .. 36 match: 16 S SD: 3.2434 cents 19 .. 38 match: 14 SD: 3.0968 cents 20 .. 40 match: 18 SD: 2.8706 cents 21 .. 42 match: 17 SD: 3.6989 cents 22 .. 44 match: 18 SD: 3.1899 cents 23 .. 46 match: 19 SD: 2.5559 cents 24 .. 48 match: 18 SD: 2.9140 cents 25 .. 50 match: 18 SD: 2.9050 cents 26 .. 52 match: 18 SD: 2.2079 cents 27 .. 54 match: 20 SD: 2.8436 cents 28 .. 56 match: 21 SD: 2.5845 cents 29 .. 58 match: 21 SD: 2.5180 cents 30 .. 60 match: 22 SD: 2.2771 cents 31 .. 62 match: 25 SD: 2.3470 cents 32 .. 64 match: 24 SD: 1.8886 cents 33 .. 66 match: 21 SD: 1.7483 cents 34 .. 68 match: 23 SD: 2.1309 cents 35 .. 70 match: 23 SD: 1.6159 cents 36 .. 72 match: 24 SD: 1.5594 cents 37 .. 74 match: 24 SD: 1.6261 cents 38 .. 76 match: 26 SD: 1.5727 cents 39 .. 78 match: 23 SD: 1.4566 cents 40 .. 80 match: 28 SD: 1.6254 cents 41 .. 82 match: 25 SD: 1.5312 cents 42 .. 84 match: 25 SD: 1.4942 cents 43 .. 86 match: 27 SD: 1.1885 cents 44 .. 88 match: 26 SD: 1.1481 cents 45 .. 90 match: 25 SD: 1.2293 cents 46 .. 92 match: 29 SD: 1.0916 cents 47 .. 94 match: 27 SD: 1.1938 cents 48 .. 96 match: 27 SD: 0.9884 cents 49 .. 98 match: 27 SD: 1.2193 cents 50 .. 100 match: 29 SD: 0.9881 cents 51 .. 102 match: 28 SD: 1.0631 cents 52 .. 104 match: 31 SD: 0.9646 cents 53 .. 106 match: 30 SD: 0.9781 cents 54 .. 108 match: 29 SD: 1.0858 cents 55 .. 110 match: 30 SD: 0.8981 cents 56 .. 112 match: 28 SD: 0.9198 cents 57 .. 114 match: 31 SD: 0.9970 cents 58 .. 116 match: 31 SD: 0.8665 cents 59 .. 118 match: 30 SD: 0.7778 cents 60 .. 120 match: 32 SD: 0.8503 cents 61 .. 122 match: 32 SD: 0.9346 cents 62 .. 124 match: 29 SD: 1.0185 cents 63 .. 126 match: 30 SD: 0.9776 cents 64 .. 128 match: 32 SD: 0.8033 cents 65 .. 130 match: 32 SD: 0.6354 cents 66 .. 132 match: 35 SD: 0.7807 cents 67 .. 134 match: 32 SD: 0.8260 cents 68 .. 136 match: 35 SD: 0.6949 cents 69 .. 138 match: 32 SD: 0.7705 cents 70 .. 140 match: 33 SD: 0.9114 cents 71 .. 142 match: 33 SD: 0.8032 cents 72 .. 144 match: 34 SD: 0.7067 cents 73 .. 146 match: 34 SD: 0.7528 cents 74 .. 148 match: 35 SD: 0.8200 cents 75 .. 150 match: 33 SD: 0.8793 cents 76 .. 152 match: 37 SD: 0.7375 cents 77 .. 154 match: 32 SD: 0.7500 cents 78 .. 156 match: 33 SD: 0.6871 cents 79 .. 158 match: 34 SD: 0.6826 cents 80 .. 160 match: 36 SD: 0.6277 cents 81 .. 162 match: 32 SD: 0.7438 cents 82 .. 164 match: 36 SD: 0.6048 cents 83 .. 166 match: 35 SD: 0.6646 cents 84 .. 168 match: 35 SD: 0.7116 cents 85 .. 170 match: 35 SD: 0.6687 cents 86 .. 172 match: 34 SD: 0.7322 cents 87 .. 174 match: 37 SD: 0.6679 cents 88 .. 176 match: 39 SD: 0.6202 cents 89 .. 178 match: 36 SD: 0.6637 cents 90 .. 180 match: 36 SD: 0.7059 cents 91 .. 182 match: 36 SD: 0.6315 cents 92 .. 184 match: 37 SD: 0.5987 cents 93 .. 186 match: 34 SD: 0.7298 cents 94 .. 188 match: 35 SD: 0.6812 cents 95 .. 190 match: 38 SD: 0.5818 cents 96 .. 192 match: 35 SD: 0.5707 cents 97 .. 194 match: 37 SD: 0.5697 cents 98 .. 196 match: 35 SD: 0.6717 cents 99 .. 198 match: 37 SD: 0.6660 cents 100 .. 200 match: 38 SD: 0.5769 cents 101 .. 202 match: 40 SD: 0.5695 cents 102 .. 204 match: 36 SD: 0.5930 cents 103 .. 206 match: 38 SD: 0.5844 cents 104 .. 208 match: 39 SD: 0.5365 cents 105 .. 210 match: 36 SD: 0.5807 cents 106 .. 212 match: 35 SD: 0.6431 cents 107 .. 214 match: 38 SD: 0.6125 cents 108 .. 216 match: 38 SD: 0.5744 cents 109 .. 218 match: 39 SD: 0.5205 cents 110 .. 220 match: 37 SD: 0.5720 cents 111 .. 222 match: 38 SD: 0.5348 cents 112 .. 224 match: 39 SD: 0.4855 cents 113 .. 226 match: 38 SD: 0.5011 cents 114 .. 228 match: 40 SD: 0.4998 cents 115 .. 230 match: 38 SD: 0.4477 cents 118 .. 236 match: 38 SD: 0.5163 cents 119 .. 238 match: 37 SD: 0.5058 cents 120 .. 240 match: 38 SD: 0.4530 cents 121 .. 242 match: 38 SD: 0.5216 cents 122 .. 244 match: 38 SD: 0.4707 cents 123 .. 246 match: 39 SD: 0.4679 cents 124 .. 248 match: 38 SD: 0.4716 cents 125 .. 250 match: 39 SD: 0.4640 cents 126 .. 252 match: 39 SD: 0.4187 cents 127 .. 254 match: 39 SD: 0.4892 cents 128 .. 256 match: 39 SD: 0.3751 cents 130 .. 260 match: 39 SD: 0.4172 cents 132 .. 264 match: 38 SD: 0.4191 cents 133 .. 266 match: 39 SD: 0.4208 cents 134 .. 268 match: 38 SD: 0.4276 cents 135 .. 270 match: 39 SD: 0.3962 cents 136 .. 272 match: 39 SD: 0.4064 cents 138 .. 276 match: 39 SD: 0.3582 cents 139 .. 278 match: 39 SD: 0.4409 cents 140 .. 280 match: 40 SD: 0.4046 cents 141 .. 282 match: 39 SD: 0.4238 cents 142 .. 284 match: 40 SD: 0.3999 cents 143 .. 286 match: 40 SD: 0.3645 cents 145 .. 290 match: 38 SD: 0.3839 cents 147 .. 294 match: 39 SD: 0.3212 cents 148 .. 296 match: 39 SD: 0.3633 cents 149 .. 298 match: 39 SD: 0.4086 cents 150 .. 300 match: 40 SD: 0.3745 cents 151 .. 302 match: 40 SD: 0.3620 cents 152 .. 304 match: 39 SD: 0.3672 cents 155 .. 310 match: 40 SD: 0.3480 cents 156 .. 312 match: 40 SD: 0.3247 cents 158 .. 316 match: 39 SD: 0.4456 cents 159 .. 318 match: 40 SD: 0.3762 cents 160 .. 320 match: 40 SD: 0.3384 cents 161 .. 322 match: 39 SD: 0.3637 cents 162 .. 324 match: 39 SD: 0.3787 cents 163 .. 326 match: 40 SD: 0.3411 cents 165 .. 330 match: 39 SD: 0.3713 cents 166 .. 332 match: 40 SD: 0.3641 cents 167 .. 334 match: 40 SD: 0.3512 cents 168 .. 336 match: 40 SD: 0.2824 cents 180 .. 360 match: 40 SD: 0.2749 cents 181 .. 362 match: 40 SD: 0.2627 cents 182 .. 364 match: 40 SD: 0.2521 cents 212 .. 424 match: 40 SD: 0.2440 cents 220 .. 440 match: 40 SD: 0.2339 cents 232 .. 464 match: 40 SD: 0.2330 cents 235 .. 470 match: 40 SD: 0.2157 cents 247 .. 494 match: 40 SD: 0.1946 cents 248 .. 496 match: 40 SD: 0.1667 cents 316 .. 632 match: 40 SD: 0.1605 cents 328 .. 656 match: 40 SD: 0.1549 cents 336 .. 672 match: 40 SD: 0.1529 cents 350 .. 700 match: 40 SD: 0.1503 cents 351 .. 702 match: 40 SD: 0.1499 cents 360 .. 720 match: 40 SD: 0.1497 cents 362 .. 724 match: 40 SD: 0.1386 cents 363 .. 726 match: 40 SD: 0.1383 cents 375 .. 750 match: 40 SD: 0.1343 cents 376 .. 752 match: 40 SD: 0.1249 cents 403 .. 806 match: 40 SD: 0.1244 cents 408 .. 816 match: 40 SD: 0.1163 cents 432 .. 864 match: 40 SD: 0.1105 cents 444 .. 888 match: 40 SD: 0.1038 cents 523 .. 1046 match: 40 SD: 0.1003 cents 530 .. 1060 match: 40 SD: 0.0967 cents 531 .. 1062 match: 40 SD: 0.0945 cents 545 .. 1090 match: 40 SD: 0.0924 cents 570 .. 1140 match: 40 SD: 0.0906 cents 576 .. 1152 match: 40 SD: 0.0843 cents 591 .. 1182 match: 40 SD: 0.0829 cents