Scala analysis: xen18-erlich-injera-38
26L 12s MOS for Injera, L=39.23, s=15.15
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 39.230 cents 39.230000 2: 54.380 cents 54.380000 3: 93.610 cents 93.610000 4: 132.840 cents 132.840000 5: 147.990 cents 147.990000 6: 187.220 cents 187.220000 7: 226.450 cents 226.450000 8: 241.600 cents 241.600000 9: 280.830 cents 280.830000 10: 320.060 cents 320.060000 11: 359.290 cents 359.290000 12: 374.440 cents 374.440000 13: 413.670 cents 413.670000 14: 452.900 cents 452.900000 15: 468.050 cents 468.050000 16: 507.280 cents 507.280000 17: 546.510 cents 546.510000 18: 561.660 cents 561.660000 19: 600.890 cents 600.890000 20: 640.120 cents 640.120000 21: 655.270 cents 655.270000 22: 694.500 cents 694.500000 23: 733.730 cents 733.730000 24: 748.880 cents 748.880000 25: 788.110 cents 788.110000 26: 827.340 cents 827.340000 27: 842.490 cents 842.490000 28: 881.720 cents 881.720000 29: 920.950 cents 920.950000 30: 960.180 cents 960.180000 31: 975.330 cents 975.330000 32: 1014.560 cents 1014.560000 33: 1053.790 cents 1053.790000 34: 1068.940 cents 1068.940000 35: 1108.170 cents 1108.170000 36: 1147.400 cents 1147.400000 37: 1162.550 cents 1162.550000 38: 1201.780 cents 1201.780000
SHOW/INTERVAL
0: 39.2300 cents 39.2300 1: 39.2300 cents 39.2300 2: 15.1500 cents 15.1500 3: 39.2300 cents 39.2300 4: 39.2300 cents 39.2300 5: 15.1500 cents 15.1500 6: 39.2300 cents 39.2300 7: 39.2300 cents 39.2300 8: 15.1500 cents 15.1500 9: 39.2300 cents 39.2300 10: 39.2300 cents 39.2300 11: 39.2300 cents 39.2300 12: 15.1500 cents 15.1500 13: 39.2300 cents 39.2300 14: 39.2300 cents 39.2300 15: 15.1500 cents 15.1500 16: 39.2300 cents 39.2300 17: 39.2300 cents 39.2300 18: 15.1500 cents 15.1500 19: 39.2300 cents 39.2300 20: 39.2300 cents 39.2300 21: 15.1500 cents 15.1500 22: 39.2300 cents 39.2300 23: 39.2300 cents 39.2300 24: 15.1500 cents 15.1500 25: 39.2300 cents 39.2300 26: 39.2300 cents 39.2300 27: 15.1500 cents 15.1500 28: 39.2300 cents 39.2300 29: 39.2300 cents 39.2300 30: 39.2300 cents 39.2300 31: 15.1500 cents 15.1500 32: 39.2300 cents 39.2300 33: 39.2300 cents 39.2300 34: 15.1500 cents 15.1500 35: 39.2300 cents 39.2300 36: 39.2300 cents 39.2300 37: 15.1500 cents 15.1500 38: 39.2300 cents 39.2300
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 12 15.15000 cents 1: 26 39.23000 cents 2: 24 54.38000 cents 2: 14 78.46000 cents 3: 36 93.61000 cents 3: 2 117.69000 cents 4: 10 108.76000 cents 4: 28 132.84000 cents 5: 22 147.99000 cents 5: 16 172.07000 cents 6: 34 187.22000 cents 6: 4 211.30000 cents 7: 8 202.37000 cents 7: 30 226.45000 cents 8: 20 241.60000 cents 8: 18 265.68000 cents 9: 32 280.83000 cents 9: 6 304.91000 cents 10: 6 295.98000 cents 10: 32 320.06000 cents 11: 18 335.21000 cents 11: 20 359.29000 cents 12: 30 374.44000 cents 12: 8 398.52000 cents 13: 4 389.59000 cents 13: 34 413.67000 cents 14: 16 428.82000 cents 14: 22 452.90000 cents 15: 28 468.05000 cents 15: 10 492.13000 cents 16: 2 483.20000 cents 16: 36 507.28000 cents 17: 14 522.43000 cents 17: 24 546.51000 cents 18: 26 561.66000 cents 18: 12 585.74000 cents 19: 38 600.89000 cents 20: 12 616.04000 cents 20: 26 640.12000 cents 21: 24 655.27000 cents 21: 14 679.35000 cents 22: 36 694.50000 cents 22: 2 718.58000 cents 23: 10 709.65000 cents 23: 28 733.73000 cents 24: 22 748.88000 cents 24: 16 772.96000 cents 25: 34 788.11000 cents 25: 4 812.19000 cents 26: 8 803.26000 cents 26: 30 827.34000 cents 27: 20 842.49000 cents 27: 18 866.57000 cents 28: 32 881.72000 cents 28: 6 905.80000 cents 29: 6 896.87000 cents 29: 32 920.95000 cents 30: 18 936.10000 cents 30: 20 960.18000 cents 31: 30 975.33000 cents 31: 8 999.41000 cents 32: 4 990.48000 cents 32: 34 1014.56000 cents 33: 16 1029.71000 cents 33: 22 1053.79000 cents 34: 28 1068.94000 cents 34: 10 1093.02000 cents 35: 2 1084.09000 cents 35: 36 1108.17000 cents 36: 14 1123.32000 cents 36: 24 1147.40000 cents 37: 26 1162.55000 cents 37: 12 1186.63000 cents Highest number of different intervals for one interval class: 2 Average number of different intervals per interval class: 1.97297 = 73/37
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 0.0 : 39.2 54.4 93.6 132.8 148.0 187.2 226.5 241.6 280.8 320.1 359.3 374.4 413.7 452.9 468.0 507.3 546.5 561.7 600.9 640.1 655.3 694.5 733.7 748.9 788.1 827.3 842.5 881.7 921.0 960.2 975.3 1014.6 1053.8 1068.9 1108.2 1147.4 1162.5 1201.8 39.2 : 15.1 54.4 93.6 108.8 148.0 187.2 202.4 241.6 280.8 320.1 335.2 374.4 413.7 428.8 468.0 507.3 522.4 561.7 600.9 616.0 655.3 694.5 709.6 748.9 788.1 803.3 842.5 881.7 920.9 936.1 975.3 1014.6 1029.7 1068.9 1108.2 1123.3 1162.5 1201.8 54.4 : 39.2 78.5 93.6 132.8 172.1 187.2 226.4 265.7 304.9 320.1 359.3 398.5 413.7 452.9 492.1 507.3 546.5 585.7 600.9 640.1 679.3 694.5 733.7 773.0 788.1 827.3 866.6 905.8 921.0 960.2 999.4 1014.6 1053.8 1093.0 1108.2 1147.4 1186.6 1201.8 93.6 : 39.2 54.4 93.6 132.8 148.0 187.2 226.5 265.7 280.8 320.1 359.3 374.4 413.7 452.9 468.0 507.3 546.5 561.7 600.9 640.1 655.3 694.5 733.7 748.9 788.1 827.3 866.6 881.7 921.0 960.2 975.3 1014.6 1053.8 1068.9 1108.2 1147.4 1162.6 1201.8 132.8 : 15.1 54.4 93.6 108.8 148.0 187.2 226.5 241.6 280.8 320.1 335.2 374.4 413.7 428.8 468.1 507.3 522.4 561.7 600.9 616.0 655.3 694.5 709.7 748.9 788.1 827.3 842.5 881.7 921.0 936.1 975.3 1014.6 1029.7 1068.9 1108.2 1123.3 1162.6 1201.8 148.0 : 39.2 78.5 93.6 132.8 172.1 211.3 226.5 265.7 304.9 320.1 359.3 398.5 413.7 452.9 492.1 507.3 546.5 585.7 600.9 640.1 679.4 694.5 733.7 773.0 812.2 827.3 866.6 905.8 921.0 960.2 999.4 1014.6 1053.8 1093.0 1108.2 1147.4 1186.6 1201.8 187.2 : 39.2 54.4 93.6 132.8 172.1 187.2 226.5 265.7 280.8 320.1 359.3 374.4 413.7 452.9 468.0 507.3 546.5 561.7 600.9 640.1 655.3 694.5 733.7 773.0 788.1 827.3 866.6 881.7 921.0 960.2 975.3 1014.6 1053.8 1068.9 1108.2 1147.4 1162.6 1201.8 226.5 : 15.1 54.4 93.6 132.8 148.0 187.2 226.5 241.6 280.8 320.1 335.2 374.4 413.7 428.8 468.0 507.3 522.4 561.7 600.9 616.0 655.3 694.5 733.7 748.9 788.1 827.3 842.5 881.7 921.0 936.1 975.3 1014.6 1029.7 1068.9 1108.2 1123.3 1162.5 1201.8 241.6 : 39.2 78.5 117.7 132.8 172.1 211.3 226.5 265.7 304.9 320.1 359.3 398.5 413.7 452.9 492.1 507.3 546.5 585.7 600.9 640.1 679.4 718.6 733.7 773.0 812.2 827.3 866.6 905.8 921.0 960.2 999.4 1014.6 1053.8 1093.0 1108.2 1147.4 1186.6 1201.8 280.8 : 39.2 78.5 93.6 132.8 172.1 187.2 226.5 265.7 280.8 320.1 359.3 374.4 413.7 452.9 468.1 507.3 546.5 561.7 600.9 640.1 679.4 694.5 733.7 773.0 788.1 827.3 866.6 881.7 921.0 960.2 975.3 1014.6 1053.8 1068.9 1108.2 1147.4 1162.5 1201.8 320.1 : 39.2 54.4 93.6 132.8 148.0 187.2 226.4 241.6 280.8 320.1 335.2 374.4 413.7 428.8 468.0 507.3 522.4 561.7 600.9 640.1 655.3 694.5 733.7 748.9 788.1 827.3 842.5 881.7 921.0 936.1 975.3 1014.6 1029.7 1068.9 1108.2 1123.3 1162.5 1201.8 359.3 : 15.1 54.4 93.6 108.8 148.0 187.2 202.4 241.6 280.8 296.0 335.2 374.4 389.6 428.8 468.0 483.2 522.4 561.7 600.9 616.0 655.3 694.5 709.7 748.9 788.1 803.3 842.5 881.7 896.9 936.1 975.3 990.5 1029.7 1068.9 1084.1 1123.3 1162.6 1201.8 374.4 : 39.2 78.5 93.6 132.8 172.1 187.2 226.5 265.7 280.8 320.1 359.3 374.4 413.7 452.9 468.0 507.3 546.5 585.7 600.9 640.1 679.4 694.5 733.7 773.0 788.1 827.3 866.6 881.7 921.0 960.2 975.3 1014.6 1053.8 1068.9 1108.2 1147.4 1186.6 1201.8 413.7 : 39.2 54.4 93.6 132.8 148.0 187.2 226.5 241.6 280.8 320.1 335.2 374.4 413.7 428.8 468.0 507.3 546.5 561.7 600.9 640.1 655.3 694.5 733.7 748.9 788.1 827.3 842.5 881.7 921.0 936.1 975.3 1014.6 1029.7 1068.9 1108.2 1147.4 1162.5 1201.8 452.9 : 15.1 54.4 93.6 108.8 148.0 187.2 202.4 241.6 280.8 296.0 335.2 374.4 389.6 428.8 468.0 507.3 522.4 561.7 600.9 616.0 655.3 694.5 709.6 748.9 788.1 803.3 842.5 881.7 896.9 936.1 975.3 990.5 1029.7 1068.9 1108.2 1123.3 1162.6 1201.8 468.0 : 39.2 78.5 93.6 132.8 172.1 187.2 226.5 265.7 280.8 320.1 359.3 374.4 413.7 452.9 492.1 507.3 546.5 585.7 600.9 640.1 679.4 694.5 733.7 773.0 788.1 827.3 866.6 881.7 921.0 960.2 975.3 1014.6 1053.8 1093.0 1108.2 1147.4 1186.6 1201.8 507.3 : 39.2 54.4 93.6 132.8 148.0 187.2 226.5 241.6 280.8 320.1 335.2 374.4 413.7 452.9 468.1 507.3 546.5 561.7 600.9 640.1 655.3 694.5 733.7 748.9 788.1 827.3 842.5 881.7 921.0 936.1 975.3 1014.6 1053.8 1068.9 1108.2 1147.4 1162.5 1201.8 546.5 : 15.1 54.4 93.6 108.8 148.0 187.2 202.4 241.6 280.8 296.0 335.2 374.4 413.7 428.8 468.0 507.3 522.4 561.7 600.9 616.0 655.3 694.5 709.7 748.9 788.1 803.3 842.5 881.7 896.9 936.1 975.3 1014.6 1029.7 1068.9 1108.2 1123.3 1162.5 1201.8 561.7 : 39.2 78.5 93.6 132.8 172.1 187.2 226.5 265.7 280.8 320.1 359.3 398.5 413.7 452.9 492.1 507.3 546.5 585.7 600.9 640.1 679.4 694.5 733.7 773.0 788.1 827.3 866.6 881.7 920.9 960.2 999.4 1014.6 1053.8 1093.0 1108.2 1147.4 1186.6 1201.8 600.9 : 39.2 54.4 93.6 132.8 148.0 187.2 226.5 241.6 280.8 320.1 359.3 374.4 413.7 452.9 468.0 507.3 546.5 561.7 600.9 640.1 655.3 694.5 733.7 748.9 788.1 827.3 842.5 881.7 921.0 960.2 975.3 1014.6 1053.8 1068.9 1108.2 1147.4 1162.5 1201.8 640.1 : 15.1 54.4 93.6 108.8 148.0 187.2 202.4 241.6 280.8 320.1 335.2 374.4 413.7 428.8 468.0 507.3 522.4 561.7 600.9 616.0 655.3 694.5 709.7 748.9 788.1 803.3 842.5 881.7 921.0 936.1 975.3 1014.6 1029.7 1068.9 1108.2 1123.3 1162.6 1201.8 655.3 : 39.2 78.5 93.6 132.8 172.1 187.2 226.5 265.7 304.9 320.1 359.3 398.5 413.7 452.9 492.1 507.3 546.5 585.7 600.9 640.1 679.4 694.5 733.7 773.0 788.1 827.3 866.6 905.8 921.0 960.2 999.4 1014.6 1053.8 1093.0 1108.2 1147.4 1186.6 1201.8 694.5 : 39.2 54.4 93.6 132.8 148.0 187.2 226.5 265.7 280.8 320.1 359.3 374.4 413.7 452.9 468.0 507.3 546.5 561.7 600.9 640.1 655.3 694.5 733.7 748.9 788.1 827.3 866.6 881.7 921.0 960.2 975.3 1014.6 1053.8 1068.9 1108.2 1147.4 1162.5 1201.8 733.7 : 15.1 54.4 93.6 108.8 148.0 187.2 226.4 241.6 280.8 320.1 335.2 374.4 413.7 428.8 468.1 507.3 522.4 561.7 600.9 616.0 655.3 694.5 709.7 748.9 788.1 827.3 842.5 881.7 921.0 936.1 975.3 1014.6 1029.7 1068.9 1108.2 1123.3 1162.5 1201.8 748.9 : 39.2 78.5 93.6 132.8 172.1 211.3 226.5 265.7 304.9 320.1 359.3 398.5 413.7 452.9 492.1 507.3 546.5 585.7 600.9 640.1 679.4 694.5 733.7 773.0 812.2 827.3 866.6 905.8 921.0 960.2 999.4 1014.6 1053.8 1093.0 1108.2 1147.4 1186.6 1201.8 788.1 : 39.2 54.4 93.6 132.8 172.1 187.2 226.5 265.7 280.8 320.1 359.3 374.4 413.7 452.9 468.1 507.3 546.5 561.7 600.9 640.1 655.3 694.5 733.7 773.0 788.1 827.3 866.6 881.7 921.0 960.2 975.3 1014.6 1053.8 1068.9 1108.2 1147.4 1162.5 1201.8 827.3 : 15.1 54.4 93.6 132.8 148.0 187.2 226.5 241.6 280.8 320.1 335.2 374.4 413.7 428.8 468.0 507.3 522.4 561.7 600.9 616.0 655.3 694.5 733.7 748.9 788.1 827.3 842.5 881.7 920.9 936.1 975.3 1014.6 1029.7 1068.9 1108.2 1123.3 1162.5 1201.8 842.5 : 39.2 78.5 117.7 132.8 172.1 211.3 226.5 265.7 304.9 320.1 359.3 398.5 413.7 452.9 492.1 507.3 546.5 585.7 600.9 640.1 679.4 718.6 733.7 773.0 812.2 827.3 866.6 905.8 921.0 960.2 999.4 1014.6 1053.8 1093.0 1108.2 1147.4 1186.6 1201.8 881.7 : 39.2 78.5 93.6 132.8 172.1 187.2 226.5 265.7 280.8 320.1 359.3 374.4 413.7 452.9 468.1 507.3 546.5 561.7 600.9 640.1 679.4 694.5 733.7 773.0 788.1 827.3 866.6 881.7 921.0 960.2 975.3 1014.6 1053.8 1068.9 1108.2 1147.4 1162.5 1201.8 921.0 : 39.2 54.4 93.6 132.8 148.0 187.2 226.5 241.6 280.8 320.1 335.2 374.4 413.7 428.8 468.1 507.3 522.4 561.7 600.9 640.1 655.3 694.5 733.7 748.9 788.1 827.3 842.5 881.7 921.0 936.1 975.3 1014.6 1029.7 1068.9 1108.2 1123.3 1162.5 1201.8 960.2 : 15.2 54.4 93.6 108.8 148.0 187.2 202.4 241.6 280.8 296.0 335.2 374.4 389.6 428.8 468.1 483.2 522.4 561.7 600.9 616.0 655.3 694.5 709.7 748.9 788.1 803.3 842.5 881.7 896.9 936.1 975.3 990.5 1029.7 1068.9 1084.1 1123.3 1162.6 1201.8 975.3 : 39.2 78.5 93.6 132.8 172.1 187.2 226.5 265.7 280.8 320.1 359.3 374.4 413.7 452.9 468.0 507.3 546.5 585.7 600.9 640.1 679.4 694.5 733.7 773.0 788.1 827.3 866.6 881.7 920.9 960.2 975.3 1014.6 1053.8 1068.9 1108.2 1147.4 1186.6 1201.8 1014.6: 39.2 54.4 93.6 132.8 148.0 187.2 226.5 241.6 280.8 320.1 335.2 374.4 413.7 428.8 468.0 507.3 546.5 561.7 600.9 640.1 655.3 694.5 733.7 748.9 788.1 827.3 842.5 881.7 921.0 936.1 975.3 1014.6 1029.7 1068.9 1108.2 1147.4 1162.6 1201.8 1053.8: 15.1 54.4 93.6 108.8 148.0 187.2 202.4 241.6 280.8 296.0 335.2 374.4 389.6 428.8 468.1 507.3 522.4 561.7 600.9 616.0 655.3 694.5 709.7 748.9 788.1 803.3 842.5 881.7 896.9 936.1 975.3 990.5 1029.7 1068.9 1108.2 1123.3 1162.5 1201.8 1068.9: 39.2 78.5 93.6 132.8 172.1 187.2 226.5 265.7 280.8 320.1 359.3 374.4 413.7 452.9 492.1 507.3 546.5 585.7 600.9 640.1 679.3 694.5 733.7 773.0 788.1 827.3 866.6 881.7 921.0 960.2 975.3 1014.6 1053.8 1093.0 1108.2 1147.4 1186.6 1201.8 1108.2: 39.2 54.4 93.6 132.8 148.0 187.2 226.5 241.6 280.8 320.1 335.2 374.4 413.7 452.9 468.1 507.3 546.5 561.7 600.9 640.1 655.3 694.5 733.7 748.9 788.1 827.3 842.5 881.7 921.0 936.1 975.3 1014.6 1053.8 1068.9 1108.2 1147.4 1162.6 1201.8 1147.4: 15.1 54.4 93.6 108.8 148.0 187.2 202.4 241.6 280.8 296.0 335.2 374.4 413.7 428.8 468.1 507.3 522.4 561.7 600.9 616.0 655.3 694.5 709.7 748.9 788.1 803.3 842.5 881.7 896.9 936.1 975.3 1014.6 1029.7 1068.9 1108.2 1123.3 1162.5 1201.8 1162.5: 39.2 78.5 93.6 132.8 172.1 187.2 226.5 265.7 280.8 320.1 359.3 398.5 413.7 452.9 492.1 507.3 546.5 585.7 600.9 640.1 679.4 694.5 733.7 773.0 788.1 827.3 866.6 881.7 921.0 960.2 999.4 1014.6 1053.8 1093.0 1108.2 1147.4 1186.6 1201.8 1201.8
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 15.1500 .. 39.2300 cents 24.08000 cents 15.15000 cents 2: 54.3800 .. 78.4600 cents 24.08000 cents 15.15000 cents 3: 93.6100 .. 117.6900 cents 24.08000 cents 15.15000 cents 4: 108.7600 .. 132.8400 cents 24.08000 cents -8.93000 cents 5: 147.9900 .. 172.0700 cents 24.08000 cents 15.15000 cents 6: 187.2200 .. 211.3000 cents 24.08000 cents 15.15000 cents 7: 202.3700 .. 226.4500 cents 24.08000 cents -8.93000 cents 8: 241.6000 .. 265.6800 cents 24.08000 cents 15.15000 cents 9: 280.8300 .. 304.9100 cents 24.08000 cents 15.15000 cents 10: 295.9800 .. 320.0600 cents 24.08000 cents -8.93000 cents 11: 335.2100 .. 359.2900 cents 24.08000 cents 15.15000 cents 12: 374.4400 .. 398.5200 cents 24.08000 cents 15.15000 cents 13: 389.5900 .. 413.6700 cents 24.08000 cents -8.93000 cents 14: 428.8200 .. 452.9000 cents 24.08000 cents 15.15000 cents 15: 468.0500 .. 492.1300 cents 24.08000 cents 15.15000 cents 16: 483.2000 .. 507.2800 cents 24.08000 cents -8.93000 cents 17: 522.4300 .. 546.5100 cents 24.08000 cents 15.15000 cents 18: 561.6600 .. 585.7400 cents 24.08000 cents 15.15000 cents 19: 600.8900 .. 600.8900 cents 1/1, 0.0000 cents 15.15000 cents 20: 616.0400 .. 640.1200 cents 24.08000 cents 15.15000 cents 21: 655.2700 .. 679.3500 cents 24.08000 cents 15.15000 cents 22: 694.5000 .. 718.5800 cents 24.08000 cents 15.15000 cents 23: 709.6500 .. 733.7300 cents 24.08000 cents -8.93000 cents 24: 748.8800 .. 772.9600 cents 24.08000 cents 15.15000 cents 25: 788.1100 .. 812.1900 cents 24.08000 cents 15.15000 cents 26: 803.2600 .. 827.3400 cents 24.08000 cents -8.93000 cents 27: 842.4900 .. 866.5700 cents 24.08000 cents 15.15000 cents 28: 881.7200 .. 905.8000 cents 24.08000 cents 15.15000 cents 29: 896.8700 .. 920.9500 cents 24.08000 cents -8.93000 cents 30: 936.1000 .. 960.1800 cents 24.08000 cents 15.15000 cents 31: 975.3300 .. 999.4100 cents 24.08000 cents 15.15000 cents 32: 990.4800 .. 1014.5600 cents 24.08000 cents -8.93000 cents 33: 1029.7100 .. 1053.7900 cents 24.08000 cents 15.15000 cents 34: 1068.9400 .. 1093.0200 cents 24.08000 cents 15.15000 cents 35: 1084.0900 .. 1108.1700 cents 24.08000 cents -8.93000 cents 36: 1123.3200 .. 1147.4000 cents 24.08000 cents 15.15000 cents 37: 1162.5500 .. 1186.6300 cents 24.08000 cents 15.15000 cents
SHOW DATA
Number of notes : 38 -- Interval properties -- Smallest interval : 15.15000 cents, class 1 Average step (divided formal octave): 31.6258 cents Largest one step interval : 39.23000 cents Average / Smallest step : 2.087511 Largest / Average step : 1.240443 Largest / Smallest step : 2.589439 Median interval of one step : 39.23000 cents, amount: 26 Most common interval of one step : 39.23000 cents, amount: 26 Least squares average step : 31.63339 cents, oct.: 1202.06867 cents Scale is not proper Scale has 2 repeating blocks of 19 notes Blocks have Myhill's property chromas: 24.08000 cents and 8.93000 cents, ratio: 2.696529 generators: 3 of 93.61000 cents and 16 of 507.28000 cents ET pair of linear temperament : 26&64 Scale is distributional even Scale is a mode of a 1348-tone equal temperament with octave 1201.780 cents degrees: 44 61 105 149 166 210 254 271 315 359 403 420 464 508 525 569 613 630 674 718 735 779 823 840 884 928 945 989 1033 1077 1094 1138 1182 1199 1243 1287 1304 1348 Least number of segments generator : 675 of 601.782 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 779 of 694.500 cents and inv. generated superset size: 693 = 655 more = 1823.684% Number of contiguous 1-step segments: 0 Step pattern alph. order: ABAABAABAAABAABAABAABAABAABAAABAABAABA Step pattern size order : LSLLSLLSLLLSLLSLLSLLSLLSLLSLLLSLLSLLSL Scale is a Constant Structure, by a margin of 8.93000 cents Scale diversity : 1.161143 Lumma stability : 0.352976 Lumma impropriety factor : 0.074306 Number of different interval sizes : 73 = 1.97297 / class Number of one step interval sizes : 2 Highest interval variety : 2 Mean interval variety : 1.97297 = 73/37 Median interval variety : 2 Lowest interval variety : 1 Smallest interval difference : 8.93000 cents Most common intervals : 600.89000 cents & inv., amount: 38 Number of recognisable fifths : 48, average 698.6596 cents Number of appreciable fifths : 46, average 697.7935 cents Number of recognisable fourths : 48, average 503.1204 cents Number of appreciable fourths : 46, average 503.9865 cents Scale contains two identical disjunct "tetrachords" of 17 notes Formal octave complements present : 38 = 100.0000% 2/1 octave complements present : 0 = 0.0000% Limited transpositions : 19 Limited inverse transpositions : 19 Inversional symmetry on degrees : 0 19 Inversional symmetry on intervals : 9-10 28-29 -- Rational properties --
FIT/MODE
38: 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: 6.9417 c. M:-11.4063 c. 50: 2 0 2 2 0 2 1 1 2 1 2 1 1 2 0 2 2 0 2 2 0 2 2 0 2 1 1 2 1 2 1 1 2 0 2 2 0 2 N B D3 I SD: 6.9246 c. M:-11.3736 c. 52: 2 0 2 2 0 2 2 0 2 2 2 0 2 2 0 2 2 0 2 2 0 2 2 0 2 2 0 2 2 2 0 2 2 0 2 2 0 2 N B DE I SD: 6.3831 c. M:-10.4885 c. 55: 2 0 2 2 1 2 1 1 2 2 1 1 2 2 0 2 2 1 1 2 1 2 2 0 2 2 1 1 2 2 1 1 2 1 2 1 1 2 N D3 SD: 6.3966 c. M: 11.1716 c. 56: 2 1 1 2 1 2 2 0 2 2 2 0 2 2 1 2 1 1 2 2 1 1 2 1 2 2 0 2 2 2 0 2 2 1 2 1 1 2 N B D3 I SD: 6.1316 c. M:-10.0011 c. 60: 2 1 2 2 0 2 2 1 2 2 2 1 2 2 0 2 2 1 2 2 1 2 2 0 2 2 1 2 2 2 1 2 2 0 2 2 1 2 N B D3 I SD: 5.4138 c. M:-7.7823 c. 64: 2 1 2 2 1 2 2 1 2 2 2 1 2 2 1 2 2 1 2 2 1 2 2 1 2 2 1 2 2 2 1 2 2 1 2 2 1 2 P B ME I SD: 1.5285 c. M:-2.5116 c. 90: 3 1 3 3 1 3 3 1 3 3 3 1 3 3 1 3 3 1 3 3 1 3 3 1 3 3 1 3 3 3 1 3 3 1 3 3 1 3 N B DE I SD: 0.7571 c. M:-1.2440 c. 154: 5 2 5 5 2 5 5 2 5 5 5 2 5 5 2 5 5 2 5 5 2 5 5 2 5 5 2 5 5 5 2 5 5 2 5 5 2 5 N B DE I SD: 0.1928 c. M:-0.3168 c. 244: 8 3 8 8 3 8 8 3 8 8 8 3 8 8 3 8 8 3 8 8 3 8 8 3 8 8 3 8 8 8 3 8 8 3 8 8 3 8 N B DE I SD: 0.1576 c. M:-0.2589 c. 398: 13 5 13 13 5 13 13 5 13 13 13 5 13 13 5 13 13 5 13 13 5 13 13 5 13 13 5 13 13 13 5 13 13 5 13 13 5 13 N B DE I SD: 0.0220 c. M:-0.0362 c. 950: 31 12 31 31 12 31 31 12 31 31 31 12 31 31 12 31 31 12 31 31 12 31 31 12 31 31 12 31 31 31 12 31 31 12 31 31 12 31 N B DE I SD: 0.0128 c. M:-0.0210 c. 1348: 44 17 44 44 17 44 44 17 44 44 44 17 44 44 17 44 44 17 44 44 17 44 44 17 44 44 17 44 44 44 17 44 44 17 44 44 17 44 N B DE I SD: 0.0025 c. M:-0.0041 c. 3094: 101 39 101 101 39 101 101 39 101 101 101 39 101 101 39 101 101 39 101 101 39 101 101 39 101 101 39 101 101 101 39 101 101 39 101 101 39 101 N B DE I SD: 0.0006 c. M:-0.0010 c.
FIT/HARMONIC
1 .. 2 match: 1 H SD: 1.7800 cents 2 .. 4 match: 2 H SD: 3.8323 cents 3 .. 6 match: 3 H SD: 3.2560 cents 4 .. 8 match: 4 H SD: 3.8894 cents 5 .. 10 match: 5 H SD: 4.7163 cents 6 .. 12 match: 6 H SD: 3.1861 cents 7 .. 14 match: 7 H SD: 4.0555 cents 8 .. 16 match: 8 H SD: 3.7938 cents 9 .. 18 match: 9 H SD: 3.3722 cents 10 .. 20 match: 10 H SD: 3.0288 cents 11 .. 22 match: 11 H SD: 2.9189 cents 12 .. 24 match: 12 H SD: 2.5966 cents 13 .. 26 match: 13 H SD: 1.9560 cents 14 .. 28 match: 14 H SD: 3.2947 cents 15 .. 30 match: 15 H SD: 2.5178 cents 16 .. 32 match: 16 H SD: 2.9144 cents 17 .. 34 match: 17 H SD: 2.2754 cents 18 .. 36 match: 18 H SD: 2.3146 cents 19 .. 38 match: 19 H SD: 2.0043 cents 20 .. 40 match: 20 H SD: 2.0710 cents 21 .. 42 match: 21 H SD: 2.2319 cents 22 .. 44 match: 22 H SD: 2.2655 cents 23 .. 46 match: 23 H SD: 2.4062 cents 24 .. 48 match: 24 H SD: 1.9264 cents 25 .. 50 match: 24 SD: 2.4248 cents 26 .. 52 match: 26 H SD: 1.5816 cents 27 .. 54 match: 26 SD: 1.8641 cents 28 .. 56 match: 28 H SD: 2.1005 cents 29 .. 58 match: 29 H SD: 1.6278 cents 30 .. 60 match: 30 H SD: 1.7234 cents 31 .. 62 match: 28 SD: 1.9861 cents 32 .. 64 match: 28 SD: 1.9547 cents 33 .. 66 match: 31 SD: 1.4752 cents 34 .. 68 match: 31 SD: 1.4659 cents 35 .. 70 match: 31 SD: 1.5218 cents 36 .. 72 match: 31 SD: 1.4440 cents 37 .. 74 match: 29 SD: 1.6987 cents 38 .. 76 match: 32 SD: 1.4092 cents 39 .. 78 match: 30 SD: 1.5960 cents 40 .. 80 match: 29 SD: 1.4442 cents 41 .. 82 match: 34 SD: 1.3174 cents 42 .. 84 match: 31 SD: 1.4868 cents 43 .. 86 match: 32 SD: 1.3684 cents 44 .. 88 match: 34 SD: 1.2138 cents 45 .. 90 match: 32 SD: 1.2426 cents 46 .. 92 match: 32 SD: 1.2857 cents 47 .. 94 match: 33 SD: 1.3482 cents 48 .. 96 match: 34 SD: 1.2766 cents 49 .. 98 match: 35 SD: 1.1373 cents 50 .. 100 match: 33 SD: 1.0389 cents 51 .. 102 match: 36 SD: 1.0838 cents 52 .. 104 match: 35 SD: 1.1517 cents 53 .. 106 match: 35 SD: 1.0218 cents 54 .. 108 match: 36 SD: 0.9736 cents 55 .. 110 match: 34 SD: 1.0294 cents 56 .. 112 match: 33 SD: 1.0553 cents 57 .. 114 match: 36 SD: 0.9713 cents 58 .. 116 match: 34 SD: 1.0457 cents 59 .. 118 match: 35 SD: 0.9489 cents 60 .. 120 match: 35 SD: 1.0064 cents 61 .. 122 match: 35 SD: 0.9125 cents 62 .. 124 match: 36 SD: 0.9611 cents 63 .. 126 match: 35 SD: 0.9271 cents 64 .. 128 match: 36 SD: 0.9807 cents 65 .. 130 match: 38 SD: 0.8884 cents 66 .. 132 match: 35 SD: 0.9490 cents 67 .. 134 match: 37 SD: 0.7677 cents 68 .. 136 match: 35 SD: 0.7721 cents 69 .. 138 match: 33 SD: 0.7948 cents 70 .. 140 match: 35 SD: 0.6255 cents 71 .. 142 match: 36 SD: 0.8816 cents 72 .. 144 match: 34 SD: 0.8964 cents 73 .. 146 match: 37 SD: 0.7778 cents 74 .. 148 match: 37 SD: 0.6796 cents 75 .. 150 match: 37 SD: 0.8081 cents 76 .. 152 match: 35 SD: 0.8666 cents 77 .. 154 match: 37 SD: 0.7827 cents 78 .. 156 match: 37 SD: 0.6026 cents 82 .. 164 match: 36 SD: 0.8433 cents 83 .. 166 match: 36 SD: 0.7126 cents 84 .. 168 match: 37 SD: 0.7502 cents 85 .. 170 match: 38 SD: 0.6617 cents 86 .. 172 match: 38 SD: 0.6481 cents 87 .. 174 match: 38 SD: 0.5206 cents 89 .. 178 match: 37 SD: 0.5656 cents 90 .. 180 match: 37 SD: 0.6243 cents 91 .. 182 match: 38 SD: 0.5806 cents 94 .. 188 match: 38 SD: 0.5624 cents 95 .. 190 match: 37 SD: 0.6353 cents 96 .. 192 match: 38 SD: 0.6003 cents 97 .. 194 match: 38 SD: 0.5917 cents 99 .. 198 match: 38 SD: 0.5551 cents 100 .. 200 match: 38 SD: 0.5259 cents 113 .. 226 match: 38 SD: 0.4741 cents 121 .. 242 match: 38 SD: 0.4620 cents 123 .. 246 match: 38 SD: 0.3865 cents 148 .. 296 match: 38 SD: 0.3212 cents 167 .. 334 match: 38 SD: 0.3108 cents 177 .. 354 match: 38 SD: 0.3083 cents 178 .. 356 match: 38 SD: 0.2700 cents 211 .. 422 match: 38 SD: 0.2614 cents 212 .. 424 match: 38 SD: 0.2258 cents 248 .. 497 match: 38 SD: 0.2018 cents 255 .. 511 match: 38 SD: 0.1889 cents 289 .. 579 match: 38 SD: 0.1888 cents 290 .. 581 match: 38 SD: 0.1813 cents 300 .. 601 match: 38 SD: 0.1656 cents 335 .. 671 match: 38 SD: 0.1562 cents 340 .. 681 match: 38 SD: 0.1532 cents 348 .. 697 match: 38 SD: 0.1478 cents 378 .. 757 match: 38 SD: 0.1379 cents 393 .. 787 match: 38 SD: 0.1328 cents 394 .. 789 match: 38 SD: 0.1315 cents 402 .. 805 match: 38 SD: 0.1200 cents 415 .. 831 match: 38 SD: 0.1190 cents 434 .. 869 match: 38 SD: 0.1133 cents 438 .. 877 match: 38 SD: 0.1066 cents 467 .. 935 match: 38 SD: 0.1032 cents 472 .. 945 match: 38 SD: 0.1002 cents 506 .. 1013 match: 38 SD: 0.0961 cents 538 .. 1077 match: 38 SD: 0.0959 cents 541 .. 1083 match: 38 SD: 0.0950 cents 560 .. 1121 match: 38 SD: 0.0939 cents 561 .. 1123 match: 38 SD: 0.0874 cents 563 .. 1127 match: 38 SD: 0.0834 cents