Scala analysis: ikosany
Convex closure of Eikosany in 385/384-tempering, 140-et tuning
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 51.429 cents 51.428571 2: 60.000 cents 60.000000 3: 77.143 cents 77.142857 4: 111.429 cents 111.428571 5: 137.143 cents 137.142857 6: 257.143 cents 257.142857 7: 265.714 cents 265.714286 8: 291.429 cents 291.428571 9: 317.143 cents 317.142857 10: 342.857 cents 342.857143 11: 368.571 cents 368.571429 12: 377.143 cents 377.142857 13: 462.857 cents 462.857143 14: 497.143 cents 497.142857 15: 522.857 cents 522.857143 16: 557.143 cents 557.142857 17: 574.286 cents 574.285714 18: 582.857 cents 582.857143 19: 634.286 cents 634.285714 20: 702.857 cents 702.857143 21: 754.286 cents 754.285714 22: 762.857 cents 762.857143 23: 814.286 cents 814.285714 24: 840.000 cents 840.000000 25: 874.286 cents 874.285714 26: 960.000 cents 960.000000 27: 994.286 cents 994.285714 28: 1020.000 cents 1020.000000 29: 1071.429 cents 1071.428571 30: 1080.000 cents 1080.000000 31: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 120.0000 cents 120.0000 1: 51.4286 cents 51.4286 2: 8.5714 cents 8.5714 3: 17.1429 cents 17.1429 4: 34.2857 cents 34.2857 5: 25.7143 cents 25.7143 6: 120.0000 cents 120.0000 7: 8.5714 cents 8.5714 8: 25.7143 cents 25.7143 9: 25.7143 cents 25.7143 10: 25.7143 cents 25.7143 11: 25.7143 cents 25.7143 12: 8.5714 cents 8.5714 13: 85.7143 cents 85.7143 14: 34.2857 cents 34.2857 15: 25.7143 cents 25.7143 16: 34.2857 cents 34.2857 17: 17.1429 cents 17.1429 18: 8.5714 cents 8.5714 19: 51.4286 cents 51.4286 20: 68.5714 cents 68.5714 21: 51.4286 cents 51.4286 22: 8.5714 cents 8.5714 23: 51.4286 cents 51.4286 24: 25.7143 cents 25.7143 25: 34.2857 cents 34.2857 26: 85.7143 cents 85.7143 27: 34.2857 cents 34.2857 28: 25.7143 cents 25.7143 29: 51.4286 cents 51.4286 30: 8.5714 cents 8.5714 31: 120.0000 cents 120.0000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 6 8.57143 cents 1: 2 17.14286 cents 1: 8 25.71429 cents 1: 5 34.28571 cents 1: 5 51.42857 cents 1: 1 68.57143 cents 1: 2 85.71429 cents 1: 2 120.00000 cents 2: 2 25.71429 cents 2: 2 34.28571 cents 2: 5 51.42857 cents 2: 10 60.00000 cents 2: 2 77.14286 cents 2: 1 94.28571 cents 2: 5 120.00000 cents 2: 2 128.57143 cents 2: 1 145.71429 cents 2: 1 171.42857 cents 3: 4 60.00000 cents 3: 6 77.14286 cents 3: 2 85.71429 cents 3: 1 94.28571 cents 3: 3 111.42857 cents 3: 1 120.00000 cents 3: 3 128.57143 cents 3: 3 145.71429 cents 3: 3 154.28572 cents 3: 1 171.42857 cents 3: 4 180.00000 cents 4: 4 85.71429 cents 4: 1 102.85714 cents 4: 3 111.42857 cents 4: 2 120.00000 cents 4: 1 137.14286 cents 4: 2 145.71429 cents 4: 2 154.28571 cents 4: 8 180.00000 cents 4: 2 188.57143 cents 4: 4 197.14286 cents 4: 1 205.71429 cents 4: 1 231.42857 cents 5: 2 111.42857 cents 5: 1 120.00000 cents 5: 2 137.14286 cents 5: 2 171.42857 cents 5: 3 180.00000 cents 5: 2 188.57143 cents 5: 2 197.14286 cents 5: 9 205.71429 cents 5: 1 214.28571 cents 5: 4 231.42857 cents 5: 2 240.00000 cents 5: 1 257.14286 cents 6: 1 120.00000 cents 6: 1 171.42857 cents 6: 1 197.14286 cents 6: 6 205.71429 cents 6: 2 214.28572 cents 6: 4 231.42857 cents 6: 6 240.00000 cents 6: 7 257.14286 cents 6: 1 265.71429 cents 6: 1 291.42857 cents 6: 1 325.71429 cents 7: 1 205.71429 cents 7: 1 214.28571 cents 7: 3 231.42857 cents 7: 5 240.00000 cents 7: 5 257.14286 cents 7: 6 265.71429 cents 7: 1 282.85714 cents 7: 3 291.42857 cents 7: 1 300.00000 cents 7: 1 308.57143 cents 7: 1 325.71429 cents 7: 1 360.00000 cents 7: 2 377.14286 cents 8: 2 240.00000 cents 8: 2 257.14286 cents 8: 5 265.71429 cents 8: 2 282.85714 cents 8: 4 291.42857 cents 8: 1 300.00000 cents 8: 6 317.14286 cents 8: 2 325.71429 cents 8: 1 360.00000 cents 8: 1 377.14286 cents 8: 4 385.71429 cents 8: 1 411.42857 cents 9: 2 265.71429 cents 9: 1 282.85714 cents 9: 3 291.42857 cents 9: 2 300.00000 cents 9: 1 308.57143 cents 9: 4 317.14286 cents 9: 1 325.71429 cents 9: 1 334.28571 cents 9: 1 342.85714 cents 9: 2 351.42857 cents 9: 1 360.00000 cents 9: 1 368.57143 cents 9: 1 377.14286 cents 9: 2 385.71429 cents 9: 1 394.28572 cents 9: 1 402.85714 cents 9: 2 411.42857 cents 9: 1 420.00000 cents 9: 3 437.14286 cents 10: 1 291.42857 cents 10: 1 300.00000 cents 10: 1 308.57143 cents 10: 3 317.14286 cents 10: 2 342.85714 cents 10: 2 351.42857 cents 10: 1 360.00000 cents 10: 2 377.14286 cents 10: 5 385.71429 cents 10: 1 402.85714 cents 10: 2 420.00000 cents 10: 5 437.14286 cents 10: 3 445.71429 cents 10: 1 462.85714 cents 10: 1 488.57143 cents 11: 2 317.14286 cents 11: 1 325.71429 cents 11: 1 342.85714 cents 11: 1 368.57143 cents 11: 2 377.14286 cents 11: 1 385.71429 cents 11: 1 394.28571 cents 11: 1 402.85714 cents 11: 2 411.42857 cents 11: 2 420.00000 cents 11: 3 437.14286 cents 11: 3 445.71429 cents 11: 3 462.85714 cents 11: 3 471.42857 cents 11: 1 488.57143 cents 11: 4 497.14286 cents 12: 1 325.71429 cents 12: 1 368.57143 cents 12: 1 377.14286 cents 12: 3 411.42857 cents 12: 1 420.00000 cents 12: 3 437.14286 cents 12: 3 445.71429 cents 12: 3 462.85714 cents 12: 2 471.42857 cents 12: 1 488.57143 cents 12: 6 497.14286 cents 12: 2 505.71429 cents 12: 1 514.28571 cents 12: 1 548.57143 cents 12: 1 565.71429 cents 12: 1 582.85714 cents 13: 1 377.14286 cents 13: 1 437.14286 cents 13: 3 445.71429 cents 13: 4 462.85714 cents 13: 2 471.42857 cents 13: 1 480.00000 cents 13: 6 497.14286 cents 13: 1 505.71429 cents 13: 1 514.28571 cents 13: 4 522.85714 cents 13: 1 531.42857 cents 13: 1 548.57143 cents 13: 1 557.14286 cents 13: 1 591.42857 cents 13: 3 617.14286 cents 14: 1 445.71429 cents 14: 3 471.42857 cents 14: 1 488.57143 cents 14: 6 497.14286 cents 14: 2 505.71428 cents 14: 2 522.85714 cents 14: 1 531.42857 cents 14: 3 548.57143 cents 14: 2 557.14286 cents 14: 2 574.28571 cents 14: 2 582.85714 cents 14: 1 617.14286 cents 14: 3 625.71429 cents 14: 1 642.85714 cents 14: 1 668.57143 cents 15: 2 497.14286 cents 15: 2 505.71429 cents 15: 1 514.28571 cents 15: 4 522.85714 cents 15: 1 531.42857 cents 15: 3 557.14286 cents 15: 1 565.71429 cents 15: 2 574.28571 cents 15: 2 582.85714 cents 15: 2 591.42857 cents 15: 1 608.57143 cents 15: 2 617.14286 cents 15: 3 642.85714 cents 15: 2 651.42857 cents 15: 2 677.14286 cents 15: 1 694.28571 cents 16: 1 505.71429 cents 16: 2 522.85714 cents 16: 2 548.57143 cents 16: 3 557.14286 cents 16: 2 582.85714 cents 16: 1 591.42857 cents 16: 2 608.57143 cents 16: 2 617.14286 cents 16: 2 625.71428 cents 16: 1 634.28571 cents 16: 3 642.85714 cents 16: 1 668.57143 cents 16: 4 677.14286 cents 16: 1 685.71429 cents 16: 2 694.28571 cents 16: 2 702.85714 cents 17: 1 531.42857 cents 17: 1 557.14286 cents 17: 3 574.28571 cents 17: 1 582.85714 cents 17: 2 617.14286 cents 17: 2 625.71429 cents 17: 2 642.85714 cents 17: 3 651.42857 cents 17: 1 668.57143 cents 17: 2 677.14286 cents 17: 2 694.28571 cents 17: 6 702.85714 cents 17: 1 711.42857 cents 17: 3 728.57143 cents 17: 1 754.28571 cents 18: 3 582.85714 cents 18: 1 608.57143 cents 18: 1 642.85714 cents 18: 1 651.42857 cents 18: 1 668.57143 cents 18: 4 677.14286 cents 18: 1 685.71429 cents 18: 1 694.28571 cents 18: 6 702.85714 cents 18: 1 720.00000 cents 18: 2 728.57143 cents 18: 4 737.14286 cents 18: 3 754.28571 cents 18: 1 762.85714 cents 18: 1 822.85714 cents 19: 1 617.14286 cents 19: 1 634.28571 cents 19: 1 651.42857 cents 19: 1 685.71429 cents 19: 2 694.28571 cents 19: 6 702.85714 cents 19: 1 711.42857 cents 19: 2 728.57143 cents 19: 3 737.14286 cents 19: 3 754.28571 cents 19: 3 762.85714 cents 19: 1 780.00000 cents 19: 3 788.57143 cents 19: 1 822.85714 cents 19: 1 831.42857 cents 19: 1 874.28571 cents 20: 4 702.85714 cents 20: 1 711.42857 cents 20: 3 728.57143 cents 20: 3 737.14286 cents 20: 3 754.28571 cents 20: 3 762.85714 cents 20: 2 780.00000 cents 20: 2 788.57143 cents 20: 1 797.14286 cents 20: 1 805.71429 cents 20: 1 814.28571 cents 20: 2 822.85714 cents 20: 1 831.42857 cents 20: 1 857.14286 cents 20: 1 874.28571 cents 20: 2 882.85714 cents 21: 1 711.42857 cents 21: 1 737.14286 cents 21: 3 754.28571 cents 21: 5 762.85714 cents 21: 2 780.00000 cents 21: 1 797.14286 cents 21: 5 814.28571 cents 21: 2 822.85714 cents 21: 1 840.00000 cents 21: 2 848.57143 cents 21: 2 857.14286 cents 21: 3 882.85714 cents 21: 1 891.42857 cents 21: 1 900.00000 cents 21: 1 908.57143 cents 22: 3 762.85714 cents 22: 1 780.00000 cents 22: 2 788.57143 cents 22: 1 797.14286 cents 22: 1 805.71428 cents 22: 2 814.28571 cents 22: 1 822.85714 cents 22: 1 831.42857 cents 22: 1 840.00000 cents 22: 2 848.57143 cents 22: 1 857.14286 cents 22: 1 865.71429 cents 22: 1 874.28571 cents 22: 4 882.85714 cents 22: 1 891.42857 cents 22: 2 900.00000 cents 22: 3 908.57143 cents 22: 1 917.14286 cents 22: 2 934.28571 cents 23: 1 788.57143 cents 23: 4 814.28571 cents 23: 1 822.85714 cents 23: 1 840.00000 cents 23: 2 874.28571 cents 23: 6 882.85714 cents 23: 1 900.00000 cents 23: 4 908.57143 cents 23: 2 917.14286 cents 23: 5 934.28571 cents 23: 2 942.85714 cents 23: 2 960.00000 cents 24: 2 822.85714 cents 24: 1 840.00000 cents 24: 1 874.28571 cents 24: 1 891.42857 cents 24: 1 900.00000 cents 24: 3 908.57143 cents 24: 1 917.14286 cents 24: 6 934.28571 cents 24: 5 942.85714 cents 24: 5 960.00000 cents 24: 3 968.57143 cents 24: 1 985.71429 cents 24: 1 994.28571 cents 25: 1 874.28571 cents 25: 1 908.57143 cents 25: 1 934.28571 cents 25: 7 942.85714 cents 25: 6 960.00000 cents 25: 4 968.57143 cents 25: 2 985.71428 cents 25: 6 994.28571 cents 25: 1 1002.85714 cents 25: 1 1028.57143 cents 25: 1 1080.00000 cents 26: 1 942.85714 cents 26: 2 960.00000 cents 26: 4 968.57143 cents 26: 1 985.71429 cents 26: 9 994.28571 cents 26: 2 1002.85714 cents 26: 2 1011.42857 cents 26: 3 1020.00000 cents 26: 2 1028.57143 cents 26: 2 1062.85714 cents 26: 1 1080.00000 cents 26: 2 1088.57143 cents 27: 1 968.57143 cents 27: 1 994.28571 cents 27: 4 1002.85714 cents 27: 2 1011.42857 cents 27: 8 1020.00000 cents 27: 2 1045.71429 cents 27: 2 1054.28571 cents 27: 1 1062.85714 cents 27: 2 1080.00000 cents 27: 3 1088.57143 cents 27: 1 1097.14286 cents 27: 4 1114.28571 cents 28: 4 1020.00000 cents 28: 1 1028.57143 cents 28: 3 1045.71428 cents 28: 3 1054.28571 cents 28: 3 1071.42857 cents 28: 1 1080.00000 cents 28: 3 1088.57143 cents 28: 1 1105.71429 cents 28: 2 1114.28571 cents 28: 6 1122.85714 cents 28: 4 1140.00000 cents 29: 1 1028.57143 cents 29: 1 1054.28571 cents 29: 2 1071.42857 cents 29: 5 1080.00000 cents 29: 1 1105.71429 cents 29: 2 1122.85714 cents 29: 10 1140.00000 cents 29: 5 1148.57143 cents 29: 2 1165.71429 cents 29: 2 1174.28571 cents 30: 2 1080.00000 cents 30: 2 1114.28571 cents 30: 1 1131.42857 cents 30: 5 1148.57143 cents 30: 5 1165.71429 cents 30: 8 1174.28571 cents 30: 2 1182.85714 cents 30: 6 1191.42857 cents Highest number of different intervals for one interval class: 19 Average number of different intervals per interval class: 13.40000 = 67/5
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 0.0 : 51.4 60.0 77.1 111.4 137.1 257.1 265.7 291.4 317.1 342.9 368.6 377.1 462.9 497.1 522.9 557.1 574.3 582.9 634.3 702.9 754.3 762.9 814.3 840.0 874.3 960.0 994.3 1020.0 1071.4 1080.0 1200.0 51.4 : 8.6 25.7 60.0 85.7 205.7 214.3 240.0 265.7 291.4 317.1 325.7 411.4 445.7 471.4 505.7 522.9 531.4 582.9 651.4 702.9 711.4 762.9 788.6 822.9 908.6 942.9 968.6 1020.0 1028.6 1148.6 1200.0 60.0 : 17.1 51.4 77.1 197.1 205.7 231.4 257.1 282.9 308.6 317.1 402.9 437.1 462.9 497.1 514.3 522.9 574.3 642.9 694.3 702.9 754.3 780.0 814.3 900.0 934.3 960.0 1011.4 1020.0 1140.0 1191.4 1200.0 77.1 : 34.3 60.0 180.0 188.6 214.3 240.0 265.7 291.4 300.0 385.7 420.0 445.7 480.0 497.1 505.7 557.1 625.7 677.1 685.7 737.1 762.9 797.1 882.9 917.1 942.9 994.3 1002.9 1122.9 1174.3 1182.9 1200.0 111.4 : 25.7 145.7 154.3 180.0 205.7 231.4 257.1 265.7 351.4 385.7 411.4 445.7 462.9 471.4 522.9 591.4 642.9 651.4 702.9 728.6 762.9 848.6 882.9 908.6 960.0 968.6 1088.6 1140.0 1148.6 1165.7 1200.0 137.1 : 120.0 128.6 154.3 180.0 205.7 231.4 240.0 325.7 360.0 385.7 420.0 437.1 445.7 497.1 565.7 617.1 625.7 677.1 702.9 737.1 822.9 857.1 882.9 934.3 942.9 1062.9 1114.3 1122.9 1140.0 1174.3 1200.0 257.1 : 8.6 34.3 60.0 85.7 111.4 120.0 205.7 240.0 265.7 300.0 317.1 325.7 377.1 445.7 497.1 505.7 557.1 582.9 617.1 702.9 737.1 762.9 814.3 822.9 942.9 994.3 1002.9 1020.0 1054.3 1080.0 1200.0 265.7 : 25.7 51.4 77.1 102.9 111.4 197.1 231.4 257.1 291.4 308.6 317.1 368.6 437.1 488.6 497.1 548.6 574.3 608.6 694.3 728.6 754.3 805.7 814.3 934.3 985.7 994.3 1011.4 1045.7 1071.4 1191.4 1200.0 291.4 : 25.7 51.4 77.1 85.7 171.4 205.7 231.4 265.7 282.9 291.4 342.9 411.4 462.9 471.4 522.9 548.6 582.9 668.6 702.9 728.6 780.0 788.6 908.6 960.0 968.6 985.7 1020.0 1045.7 1165.7 1174.3 1200.0 317.1 : 25.7 51.4 60.0 145.7 180.0 205.7 240.0 257.1 265.7 317.1 385.7 437.1 445.7 497.1 522.9 557.1 642.9 677.1 702.9 754.3 762.9 882.9 934.3 942.9 960.0 994.3 1020.0 1140.0 1148.6 1174.3 1200.0 342.9 : 25.7 34.3 120.0 154.3 180.0 214.3 231.4 240.0 291.4 360.0 411.4 420.0 471.4 497.1 531.4 617.1 651.4 677.1 728.6 737.1 857.1 908.6 917.1 934.3 968.6 994.3 1114.3 1122.9 1148.6 1174.3 1200.0 368.6 : 8.6 94.3 128.6 154.3 188.6 205.7 214.3 265.7 334.3 385.7 394.3 445.7 471.4 505.7 591.4 625.7 651.4 702.9 711.4 831.4 882.9 891.4 908.6 942.9 968.6 1088.6 1097.1 1122.9 1148.6 1174.3 1200.0 377.1 : 85.7 120.0 145.7 180.0 197.1 205.7 257.1 325.7 377.1 385.7 437.1 462.9 497.1 582.9 617.1 642.9 694.3 702.9 822.9 874.3 882.9 900.0 934.3 960.0 1080.0 1088.6 1114.3 1140.0 1165.7 1191.4 1200.0 462.9 : 34.3 60.0 94.3 111.4 120.0 171.4 240.0 291.4 300.0 351.4 377.1 411.4 497.1 531.4 557.1 608.6 617.1 737.1 788.6 797.1 814.3 848.6 874.3 994.3 1002.9 1028.6 1054.3 1080.0 1105.7 1114.3 1200.0 497.1 : 25.7 60.0 77.1 85.7 137.1 205.7 257.1 265.7 317.1 342.9 377.1 462.9 497.1 522.9 574.3 582.9 702.9 754.3 762.9 780.0 814.3 840.0 960.0 968.6 994.3 1020.0 1045.7 1071.4 1080.0 1165.7 1200.0 522.9 : 34.3 51.4 60.0 111.4 180.0 231.4 240.0 291.4 317.1 351.4 437.1 471.4 497.1 548.6 557.1 677.1 728.6 737.1 754.3 788.6 814.3 934.3 942.9 968.6 994.3 1020.0 1045.7 1054.3 1140.0 1174.3 1200.0 557.1 : 17.1 25.7 77.1 145.7 197.1 205.7 257.1 282.9 317.1 402.9 437.1 462.9 514.3 522.9 642.9 694.3 702.9 720.0 754.3 780.0 900.0 908.6 934.3 960.0 985.7 1011.4 1020.0 1105.7 1140.0 1165.7 1200.0 574.3 : 8.6 60.0 128.6 180.0 188.6 240.0 265.7 300.0 385.7 420.0 445.7 497.1 505.7 625.7 677.1 685.7 702.9 737.1 762.9 882.9 891.4 917.1 942.9 968.6 994.3 1002.9 1088.6 1122.9 1148.6 1182.9 1200.0 582.9 : 51.4 120.0 171.4 180.0 231.4 257.1 291.4 377.1 411.4 437.1 488.6 497.1 617.1 668.6 677.1 694.3 728.6 754.3 874.3 882.9 908.6 934.3 960.0 985.7 994.3 1080.0 1114.3 1140.0 1174.3 1191.4 1200.0 634.3 : 68.6 120.0 128.6 180.0 205.7 240.0 325.7 360.0 385.7 437.1 445.7 565.7 617.1 625.7 642.9 677.1 702.9 822.9 831.4 857.1 882.9 908.6 934.3 942.9 1028.6 1062.9 1088.6 1122.9 1140.0 1148.6 1200.0 702.9 : 51.4 60.0 111.4 137.1 171.4 257.1 291.4 317.1 368.6 377.1 497.1 548.6 557.1 574.3 608.6 634.3 754.3 762.9 788.6 814.3 840.0 865.7 874.3 960.0 994.3 1020.0 1054.3 1071.4 1080.0 1131.4 1200.0 754.3 : 8.6 60.0 85.7 120.0 205.7 240.0 265.7 317.1 325.7 445.7 497.1 505.7 522.9 557.1 582.9 702.9 711.4 737.1 762.9 788.6 814.3 822.9 908.6 942.9 968.6 1002.9 1020.0 1028.6 1080.0 1148.6 1200.0 762.9 : 51.4 77.1 111.4 197.1 231.4 257.1 308.6 317.1 437.1 488.6 497.1 514.3 548.6 574.3 694.3 702.9 728.6 754.3 780.0 805.7 814.3 900.0 934.3 960.0 994.3 1011.4 1020.0 1071.4 1140.0 1191.4 1200.0 814.3 : 25.7 60.0 145.7 180.0 205.7 257.1 265.7 385.7 437.1 445.7 462.9 497.1 522.9 642.9 651.4 677.1 702.9 728.6 754.3 762.9 848.6 882.9 908.6 942.9 960.0 968.6 1020.0 1088.6 1140.0 1148.6 1200.0 840.0 : 34.3 120.0 154.3 180.0 231.4 240.0 360.0 411.4 420.0 437.1 471.4 497.1 617.1 625.7 651.4 677.1 702.9 728.6 737.1 822.9 857.1 882.9 917.1 934.3 942.9 994.3 1062.9 1114.3 1122.9 1174.3 1200.0 874.3 : 85.7 120.0 145.7 197.1 205.7 325.7 377.1 385.7 402.9 437.1 462.9 582.9 591.4 617.1 642.9 668.6 694.3 702.9 788.6 822.9 848.6 882.9 900.0 908.6 960.0 1028.6 1080.0 1088.6 1140.0 1165.7 1200.0 960.0 : 34.3 60.0 111.4 120.0 240.0 291.4 300.0 317.1 351.4 377.1 497.1 505.7 531.4 557.1 582.9 608.6 617.1 702.9 737.1 762.9 797.1 814.3 822.9 874.3 942.9 994.3 1002.9 1054.3 1080.0 1114.3 1200.0 994.3 : 25.7 77.1 85.7 205.7 257.1 265.7 282.9 317.1 342.9 462.9 471.4 497.1 522.9 548.6 574.3 582.9 668.6 702.9 728.6 762.9 780.0 788.6 840.0 908.6 960.0 968.6 1020.0 1045.7 1080.0 1165.7 1200.0 1020.0: 51.4 60.0 180.0 231.4 240.0 257.1 291.4 317.1 437.1 445.7 471.4 497.1 522.9 548.6 557.1 642.9 677.1 702.9 737.1 754.3 762.9 814.3 882.9 934.3 942.9 994.3 1020.0 1054.3 1140.0 1174.3 1200.0 1071.4: 8.6 128.6 180.0 188.6 205.7 240.0 265.7 385.7 394.3 420.0 445.7 471.4 497.1 505.7 591.4 625.7 651.4 685.7 702.9 711.4 762.9 831.4 882.9 891.4 942.9 968.6 1002.9 1088.6 1122.9 1148.6 1200.0 1080.0: 120.0 171.4 180.0 197.1 231.4 257.1 377.1 385.7 411.4 437.1 462.9 488.6 497.1 582.9 617.1 642.9 677.1 694.3 702.9 754.3 822.9 874.3 882.9 934.3 960.0 994.3 1080.0 1114.3 1140.0 1191.4 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 8.5714 .. 120.0000 cents 111.42857 cents 8.57143 cents 2: 25.7143 .. 171.4286 cents 145.71428 cents -94.28571 cents 3: 60.0000 .. 180.0000 cents 120.00000 cents -111.42857 cents 4: 85.7143 .. 231.4286 cents 145.71429 cents -94.28571 cents 5: 111.4286 .. 257.1429 cents 145.71428 cents -120.00000 cents 6: 120.0000 .. 325.7143 cents 205.71429 cents -137.14286 cents 7: 205.7143 .. 377.1429 cents 171.42857 cents -120.00000 cents 8: 240.0000 .. 411.4286 cents 171.42857 cents -137.14286 cents 9: 265.7143 .. 437.1429 cents 171.42857 cents -145.71429 cents 10: 291.4286 .. 488.5714 cents 197.14286 cents -145.71428 cents 11: 317.1429 .. 497.1429 cents 180.00000 cents -171.42857 cents 12: 325.7143 .. 582.8571 cents 257.14286 cents -171.42857 cents 13: 377.1429 .. 617.1429 cents 240.00000 cents -205.71429 cents 14: 445.7143 .. 668.5714 cents 222.85714 cents -171.42857 cents 15: 497.1429 .. 694.2857 cents 197.14286 cents -171.42857 cents 16: 505.7143 .. 702.8571 cents 197.14286 cents -188.57143 cents 17: 531.4286 .. 754.2857 cents 222.85714 cents -171.42857 cents 18: 582.8571 .. 822.8571 cents 240.00000 cents -171.42857 cents 19: 617.1429 .. 874.2857 cents 257.14286 cents -205.71429 cents 20: 702.8571 .. 882.8571 cents 180.00000 cents -171.42857 cents 21: 711.4286 .. 908.5714 cents 197.14286 cents -171.42857 cents 22: 762.8571 .. 934.2857 cents 171.42857 cents -145.71428 cents 23: 788.5714 .. 960.0000 cents 171.42857 cents -145.71429 cents 24: 822.8571 .. 994.2857 cents 171.42857 cents -137.14286 cents 25: 874.2857 .. 1080.0000 cents 205.71429 cents -120.00000 cents 26: 942.8571 .. 1088.5714 cents 145.71428 cents -137.14286 cents 27: 968.5714 .. 1114.2857 cents 145.71429 cents -120.00000 cents 28: 1020.0000 .. 1140.0000 cents 120.00000 cents -94.28571 cents 29: 1028.5714 .. 1174.2857 cents 145.71428 cents -111.42857 cents 30: 1080.0000 .. 1191.4286 cents 111.42857 cents -94.28571 cents
SHOW DATA
Number of notes : 31 -- Interval properties -- Smallest interval : 8.57143 cents, class 1 Average step (divided formal octave): 38.7097 cents Largest one step interval : 120.00000 cents Average / Smallest step : 4.516129 Largest / Average step : 3.100000 Largest / Smallest step : 14.000001 Median interval of one step : 25.71429 cents, amount: 8 Most common interval of one step : 25.71429 cents, amount: 8 Least squares average step : 35.77518 cents, oct.: 1109.03061 cents Scale is not proper Scale is a mode of a 140-tone equal temperament with octave 1200.000 cents degrees: 6 7 9 13 16 30 31 34 37 40 43 44 54 58 61 65 67 68 74 82 88 89 95 98 102 112 116 119 125 126 140 Least number of segments generator : 123 of 1054.286 cents and inv. number of contiguous generator circle segments: 3 Shortest superset generator : 99 of 848.571 cents and inv. generated superset size: 69 = 38 more = 222.581% Number of contiguous 1-step segments: 6 Step pattern alph. order: ABCDEFBEEEEBGDEDCBAHABAEDGDEABF Step pattern size order : EABDCHACCCCAGDCDBAEFEAECDGDCEAH Interval vector is [ 6 2 10 7 0 10 14 1 8 8 2 1 8 12 5 3 6 5 0 5 15 4 7 17 4 0 12 15 0 15 14 0 4 12 5 3 15 7 1 4 4 4 3 10 12 2 3 8 6 0 15 13 0 11 10 1 4 24 8 3 12 4 0 7 10 2 7 11 4 0 ] Scale is not a Constant Structure Scale diversity : 1.375727 Lumma stability : 0.014286 Lumma impropriety factor : 0.957143 Number of different interval sizes : 122 = 4.06667 / class Number of one step interval sizes : 8 Highest interval variety : 19 Mean interval variety : 13.40000 = 67/5 Median interval variety : 9 Lowest interval variety : 8 Smallest interval difference : 8.57143 cents Most common intervals : 497.14286 cents & inv., amount: 24 Most common triad is 0.0 497.143 702.857 cents, amount: 17 Number of recognisable fifths : 40, average 701.1429 cents Number of appreciable fifths : 36, average 701.9048 cents Formal octave complements present : 3 = 9.6774% -- Rational properties --
FIT/MODE
31: 1 0 0 1 1 3 0 1 0 1 1 0 2 1 1 1 0 0 2 1 2 0 1 1 1 2 1 1 1 0 4 N SD: 28.9764 c. M: 46.1751 c. 32: 1 1 0 1 1 3 0 1 0 1 1 0 2 1 1 1 0 1 1 2 1 0 2 0 1 3 1 0 2 0 3 N SD: 10.6083 c. M:-18.2143 c. 34: 1 1 0 1 1 3 1 0 1 1 0 1 2 1 1 1 0 1 1 2 1 1 1 1 1 2 1 1 1 1 3 N SD: 9.5875 c. M:-17.1429 c. 36: 2 0 0 1 1 4 0 1 1 0 1 0 3 1 1 1 0 0 2 2 2 0 1 1 1 3 1 1 1 0 4 N SD: 9.2368 c. M:-16.1905 c. 38: 2 0 0 2 0 4 0 1 1 1 1 0 3 1 1 1 0 0 2 2 2 0 2 1 1 2 1 1 2 0 4 N SD: 9.4216 c. M: 15.3383 c. 39: 1 1 0 1 1 4 0 1 1 1 1 0 3 1 1 1 0 1 1 3 1 1 1 1 1 3 1 1 2 0 4 N SD: 11.2081 c. M: 20.6593 c. 41: 2 0 1 1 1 4 0 1 1 1 1 0 3 1 1 1 1 0 2 2 2 0 2 1 1 3 1 1 2 0 4 N SD: 6.2358 c. M:-11.9164 c. 46: 2 0 1 1 1 5 0 1 1 1 1 0 4 1 1 1 1 0 2 3 2 0 2 1 1 4 1 1 2 0 5 N SD: 6.0199 c. M: 13.4161 c. 53: 2 1 0 2 1 5 1 1 1 1 1 1 3 2 1 2 0 1 2 3 2 1 2 1 2 3 2 1 2 1 5 N SD: 5.8635 c. M: 10.0270 c. 56: 2 1 1 1 1 6 0 2 1 1 1 1 4 1 1 2 1 0 3 3 2 1 2 1 2 4 1 2 2 0 6 N SD: 6.1579 c. M:-8.5714 c. 60: 3 0 1 2 1 6 0 2 1 1 2 0 4 2 1 2 1 0 3 3 3 0 3 1 2 4 2 1 3 0 6 N SD: 4.9487 c. M:-11.4286 c. 70: 3 0 1 2 2 7 0 2 1 2 1 1 5 2 1 2 1 1 3 4 3 0 3 2 2 5 2 1 3 1 7 N SD: 5.5507 c. M: 8.5714 c. 72: 3 1 1 2 1 7 1 1 2 2 1 1 5 2 1 2 1 1 3 4 3 1 3 1 2 6 2 1 3 1 7 N SD: 5.0155 c. M: 8.0952 c. 73: 3 1 1 2 1 8 0 2 1 2 1 1 5 2 2 2 1 0 4 4 3 0 4 1 2 5 2 2 3 1 7 N SD: 4.6217 c. M: 7.9843 c. 74: 3 1 1 2 1 8 0 2 2 1 2 0 6 2 1 2 1 1 3 4 3 1 3 2 2 5 2 2 3 1 7 N SD: 4.5329 c. M: 8.3398 c. 75: 3 1 1 2 2 7 1 1 2 2 1 1 5 2 2 2 1 1 3 4 3 1 3 2 2 5 2 2 3 1 7 N SD: 4.5772 c. M:-9.1429 c. 77: 3 1 1 2 2 8 0 2 1 2 2 0 6 2 2 2 1 0 4 4 3 1 3 2 2 6 2 1 4 0 8 N SD: 4.2009 c. M:-7.7922 c. 78: 3 1 1 2 2 8 0 2 2 1 2 1 5 2 2 2 1 1 3 5 3 1 3 2 2 5 3 1 4 0 8 N SD: 4.0681 c. M:-7.4725 c. 80: 3 1 1 2 2 8 1 1 2 2 1 1 6 2 2 2 1 1 3 5 3 1 3 2 2 6 2 2 3 1 8 N SD: 3.7115 c. M: 8.5714 c. 83: 4 0 1 3 1 9 0 2 2 2 1 1 6 2 2 3 1 0 4 5 3 1 3 2 2 6 3 2 3 1 8 N SD: 4.4013 c. M: 7.1256 c. 85: 4 0 1 3 2 8 1 2 1 2 2 1 6 2 2 2 2 0 4 5 3 1 4 1 3 6 2 2 4 0 9 N SD: 4.1587 c. M: 7.0588 c. 86: 4 0 2 2 2 8 1 2 2 2 1 1 6 3 1 3 1 1 3 5 4 1 3 2 3 6 2 2 4 0 9 N SD: 4.0456 c. M:-6.5781 c. 87: 4 0 2 2 2 9 0 2 2 2 2 0 7 2 2 2 2 0 4 5 4 0 4 2 2 7 2 2 4 0 9 N SD: 3.5720 c. M:-6.1084 c. 94: 4 1 1 3 2 9 1 2 2 2 2 1 6 3 2 3 1 1 4 5 4 1 4 2 3 6 3 2 4 1 9 N SD: 2.9459 c. M:-6.5653 c. 96: 4 1 1 3 2 10 0 2 2 2 2 1 7 3 2 3 1 1 4 5 4 1 4 2 3 7 3 2 4 0 10 N SD: 3.4668 c. M: 6.0714 c. 97: 4 1 1 3 2 10 0 3 2 2 2 0 7 3 2 3 1 1 4 6 4 1 4 2 3 7 2 2 5 0 10 N SD: 3.6229 c. M: 6.0088 c. 99: 4 1 1 3 2 10 1 2 2 2 2 1 7 3 2 3 1 1 4 6 4 1 4 2 3 7 3 2 4 1 10 N SD: 2.5825 c. M: 4.9351 c. 112: 5 1 1 3 3 11 1 2 3 2 2 1 8 3 3 3 2 0 5 7 4 1 5 2 4 8 3 2 5 1 11 N SD: 3.0059 c. M: 4.2857 c. 113: 5 1 1 3 3 11 1 2 3 2 3 1 8 3 2 3 2 1 5 6 5 1 5 2 3 8 4 2 5 1 11 N SD: 2.9469 c. M: 5.2339 c. 119: 5 1 2 3 3 12 0 3 2 3 3 0 9 3 3 3 2 1 5 7 5 1 5 2 4 8 4 2 5 1 12 N SD: 2.7303 c. M:-5.0420 c. 121: 5 1 2 3 3 12 1 2 3 3 2 1 9 3 3 3 2 1 5 7 5 1 5 3 3 9 3 3 5 1 12 N SD: 1.9254 c. M:-4.2503 c. 140: 6 1 2 4 3 14 1 3 3 3 3 1 10 4 3 4 2 1 6 8 6 1 6 3 4 10 4 3 6 1 14 N 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: 0.4511 cents 3 .. 6 match: 3 H SD: 3.3711 cents 4 .. 8 match: 4 H SD: 3.1900 cents 5 .. 10 match: 5 H SD: 0.5835 cents 6 .. 12 match: 6 H SD: 4.0529 cents 7 .. 14 match: 7 H SD: 7.6071 cents 8 .. 16 match: 8 H SD: 6.9587 cents 9 .. 18 match: 9 H SD: 5.6953 cents 10 .. 20 match: 10 H SD: 5.9533 cents 11 .. 22 match: 11 H SD: 5.9986 cents 12 .. 24 match: 11 S SD: 3.5348 cents 13 .. 26 match: 12 S SD: 4.1237 cents 14 .. 28 match: 13 S SD: 4.4125 cents 15 .. 30 match: 14 S SD: 4.4433 cents 16 .. 32 match: 14 SD: 2.8817 cents 17 .. 34 match: 14 S SD: 4.0652 cents 18 .. 36 match: 15 SD: 2.8718 cents 19 .. 38 match: 15 SD: 4.6254 cents 20 .. 40 match: 17 SD: 2.2856 cents 21 .. 42 match: 17 SD: 3.5538 cents 22 .. 44 match: 17 SD: 2.4848 cents 23 .. 46 match: 17 SD: 2.5172 cents 24 .. 48 match: 19 SD: 2.4463 cents 25 .. 50 match: 18 SD: 2.4434 cents 26 .. 52 match: 19 SD: 2.2380 cents 27 .. 54 match: 21 SD: 2.2255 cents 28 .. 56 match: 19 SD: 2.5826 cents 29 .. 58 match: 19 SD: 2.1360 cents 30 .. 60 match: 21 SD: 1.6892 cents 31 .. 62 match: 20 SD: 2.3401 cents 32 .. 64 match: 24 SD: 1.7094 cents 33 .. 66 match: 22 SD: 2.0653 cents 34 .. 68 match: 23 SD: 1.9535 cents 35 .. 70 match: 22 SD: 1.9273 cents 36 .. 72 match: 21 SD: 1.4944 cents 37 .. 74 match: 23 SD: 1.6366 cents 38 .. 76 match: 22 SD: 1.6560 cents 39 .. 78 match: 25 SD: 1.6722 cents 40 .. 80 match: 25 SD: 1.4834 cents 41 .. 82 match: 23 SD: 1.6969 cents 42 .. 84 match: 23 SD: 1.2955 cents 43 .. 86 match: 25 SD: 1.5579 cents 44 .. 88 match: 25 SD: 1.7314 cents 45 .. 90 match: 25 SD: 1.1400 cents 46 .. 92 match: 26 SD: 1.3758 cents 47 .. 94 match: 25 SD: 1.5158 cents 48 .. 96 match: 27 SD: 1.3598 cents 49 .. 98 match: 25 SD: 1.3943 cents 50 .. 100 match: 25 SD: 1.0251 cents 51 .. 102 match: 24 SD: 1.3877 cents 52 .. 104 match: 26 SD: 1.4920 cents 53 .. 106 match: 25 SD: 1.3985 cents 54 .. 108 match: 25 SD: 1.1505 cents 55 .. 110 match: 26 SD: 1.2032 cents 56 .. 112 match: 27 SD: 1.2222 cents 57 .. 114 match: 26 SD: 1.3724 cents 58 .. 116 match: 26 SD: 1.1281 cents 59 .. 118 match: 28 SD: 1.0317 cents 60 .. 120 match: 27 SD: 0.9693 cents 61 .. 122 match: 28 SD: 0.9803 cents 62 .. 124 match: 26 SD: 0.9959 cents 63 .. 126 match: 27 SD: 0.9582 cents 64 .. 128 match: 28 SD: 1.0281 cents 65 .. 130 match: 28 SD: 1.0000 cents 66 .. 132 match: 26 SD: 0.9168 cents 67 .. 134 match: 27 SD: 1.1314 cents 68 .. 136 match: 28 SD: 1.0024 cents 69 .. 138 match: 28 SD: 0.9510 cents 70 .. 140 match: 28 SD: 0.8462 cents 71 .. 142 match: 26 SD: 0.9424 cents 72 .. 144 match: 28 SD: 0.8321 cents 73 .. 146 match: 26 SD: 0.9129 cents 74 .. 148 match: 28 SD: 0.8444 cents 75 .. 150 match: 27 SD: 0.8431 cents 76 .. 152 match: 28 SD: 0.8159 cents 78 .. 156 match: 28 SD: 0.9724 cents 79 .. 158 match: 28 SD: 0.9390 cents 80 .. 160 match: 27 SD: 0.9748 cents 81 .. 162 match: 29 SD: 0.8075 cents 82 .. 164 match: 30 SD: 0.7912 cents 83 .. 166 match: 28 SD: 0.8692 cents 84 .. 168 match: 29 SD: 0.7672 cents 85 .. 170 match: 29 SD: 0.6752 cents 86 .. 172 match: 27 SD: 0.7292 cents 87 .. 174 match: 26 SD: 0.7341 cents 88 .. 176 match: 28 SD: 0.5910 cents 89 .. 178 match: 29 SD: 0.7753 cents 90 .. 180 match: 30 SD: 0.6429 cents 91 .. 182 match: 26 SD: 0.7187 cents 92 .. 184 match: 28 SD: 0.7081 cents 93 .. 186 match: 27 SD: 0.6813 cents 94 .. 188 match: 29 SD: 0.6848 cents 95 .. 190 match: 29 SD: 0.6884 cents 96 .. 192 match: 28 SD: 0.7059 cents 97 .. 194 match: 29 SD: 0.6510 cents 98 .. 196 match: 27 SD: 0.7271 cents 99 .. 198 match: 29 SD: 0.6749 cents 100 .. 200 match: 29 SD: 0.6988 cents 101 .. 202 match: 29 SD: 0.7297 cents 102 .. 204 match: 30 SD: 0.6357 cents 103 .. 206 match: 30 SD: 0.7041 cents 104 .. 208 match: 29 SD: 0.6211 cents 105 .. 210 match: 30 SD: 0.5366 cents 106 .. 212 match: 30 SD: 0.5927 cents 108 .. 216 match: 30 SD: 0.5021 cents 109 .. 218 match: 30 SD: 0.6272 cents 110 .. 220 match: 30 SD: 0.4845 cents 111 .. 222 match: 28 SD: 0.5445 cents 112 .. 224 match: 30 SD: 0.6484 cents 113 .. 226 match: 31 SD: 0.6199 cents 114 .. 228 match: 31 SD: 0.5509 cents 116 .. 232 match: 28 SD: 0.6581 cents 117 .. 234 match: 28 SD: 0.5702 cents 118 .. 236 match: 30 SD: 0.5618 cents 119 .. 238 match: 30 SD: 0.5052 cents 120 .. 240 match: 29 SD: 0.4711 cents 121 .. 242 match: 28 SD: 0.5972 cents 122 .. 244 match: 29 SD: 0.5642 cents 123 .. 246 match: 29 SD: 0.5435 cents 124 .. 248 match: 30 SD: 0.5288 cents 125 .. 250 match: 29 SD: 0.4993 cents 126 .. 252 match: 29 SD: 0.5181 cents 127 .. 254 match: 30 SD: 0.5122 cents 129 .. 258 match: 29 SD: 0.6187 cents 130 .. 260 match: 31 SD: 0.4887 cents 131 .. 262 match: 30 SD: 0.4740 cents 132 .. 264 match: 31 SD: 0.4305 cents 133 .. 266 match: 30 SD: 0.4501 cents 135 .. 270 match: 30 SD: 0.4141 cents 137 .. 274 match: 30 SD: 0.4396 cents 138 .. 276 match: 31 SD: 0.4376 cents 141 .. 282 match: 30 SD: 0.5309 cents 142 .. 284 match: 31 SD: 0.4934 cents 143 .. 286 match: 31 SD: 0.4573 cents 147 .. 294 match: 30 SD: 0.4004 cents 150 .. 300 match: 30 SD: 0.4003 cents 151 .. 302 match: 30 SD: 0.4315 cents 152 .. 304 match: 30 SD: 0.4185 cents 153 .. 306 match: 29 SD: 0.4485 cents 154 .. 308 match: 29 SD: 0.4631 cents 155 .. 310 match: 30 SD: 0.4100 cents 156 .. 312 match: 31 SD: 0.4068 cents 160 .. 320 match: 31 SD: 0.3868 cents 163 .. 326 match: 31 SD: 0.3638 cents 168 .. 336 match: 31 SD: 0.3137 cents 183 .. 366 match: 30 SD: 0.3862 cents 184 .. 368 match: 30 SD: 0.4064 cents 186 .. 372 match: 31 SD: 0.3818 cents 189 .. 378 match: 31 SD: 0.3774 cents 190 .. 380 match: 31 SD: 0.3473 cents 192 .. 384 match: 31 SD: 0.2971 cents 193 .. 386 match: 31 SD: 0.2652 cents 219 .. 438 match: 31 SD: 0.2637 cents 223 .. 446 match: 31 SD: 0.2621 cents 224 .. 448 match: 31 SD: 0.2450 cents 229 .. 458 match: 31 SD: 0.2431 cents 255 .. 510 match: 31 SD: 0.2216 cents 258 .. 516 match: 31 SD: 0.2166 cents 267 .. 534 match: 31 SD: 0.2154 cents 282 .. 564 match: 31 SD: 0.2123 cents 283 .. 566 match: 31 SD: 0.2068 cents 287 .. 574 match: 31 SD: 0.2013 cents 300 .. 600 match: 31 SD: 0.1664 cents 343 .. 686 match: 31 SD: 0.1546 cents 374 .. 748 match: 31 SD: 0.1519 cents 375 .. 750 match: 31 SD: 0.1404 cents 397 .. 794 match: 31 SD: 0.1349 cents 434 .. 868 match: 31 SD: 0.1339 cents 437 .. 874 match: 31 SD: 0.1331 cents 457 .. 914 match: 31 SD: 0.1329 cents 460 .. 920 match: 31 SD: 0.1280 cents 463 .. 926 match: 31 SD: 0.1055 cents 531 .. 1062 match: 31 SD: 0.1030 cents 567 .. 1134 match: 31 SD: 0.0886 cents