Scala analysis: xen18-erlich-sensisept-27
19L 8s MOS for Sensisept, L=49.89, s=31.31
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 49.890 cents 49.890000 2: 81.200 cents 81.200000 3: 131.090 cents 131.090000 4: 180.980 cents 180.980000 5: 230.870 cents 230.870000 6: 262.180 cents 262.180000 7: 312.070 cents 312.070000 8: 361.960 cents 361.960000 9: 393.270 cents 393.270000 10: 443.160 cents 443.160000 11: 493.050 cents 493.050000 12: 524.360 cents 524.360000 13: 574.250 cents 574.250000 14: 624.140 cents 624.140000 15: 674.030 cents 674.030000 16: 705.340 cents 705.340000 17: 755.230 cents 755.230000 18: 805.120 cents 805.120000 19: 836.430 cents 836.430000 20: 886.320 cents 886.320000 21: 936.210 cents 936.210000 22: 967.520 cents 967.520000 23: 1017.410 cents 1017.410000 24: 1067.300 cents 1067.300000 25: 1117.190 cents 1117.190000 26: 1148.500 cents 1148.500000 27: 1198.390 cents 1198.390000
SHOW/INTERVAL
0: 49.8900 cents 49.8900 1: 49.8900 cents 49.8900 2: 31.3100 cents 31.3100 3: 49.8900 cents 49.8900 4: 49.8900 cents 49.8900 5: 49.8900 cents 49.8900 6: 31.3100 cents 31.3100 7: 49.8900 cents 49.8900 8: 49.8900 cents 49.8900 9: 31.3100 cents 31.3100 10: 49.8900 cents 49.8900 11: 49.8900 cents 49.8900 12: 31.3100 cents 31.3100 13: 49.8900 cents 49.8900 14: 49.8900 cents 49.8900 15: 49.8900 cents 49.8900 16: 31.3100 cents 31.3100 17: 49.8900 cents 49.8900 18: 49.8900 cents 49.8900 19: 31.3100 cents 31.3100 20: 49.8900 cents 49.8900 21: 49.8900 cents 49.8900 22: 31.3100 cents 31.3100 23: 49.8900 cents 49.8900 24: 49.8900 cents 49.8900 25: 49.8900 cents 49.8900 26: 31.3100 cents 31.3100 27: 49.8900 cents 49.8900
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 8 31.31000 cents 1: 19 49.89000 cents 2: 16 81.20000 cents 2: 11 99.78000 cents 3: 24 131.09000 cents 3: 3 149.67000 cents 4: 5 162.40000 cents 4: 22 180.98000 cents 5: 13 212.29000 cents 5: 14 230.87000 cents 6: 21 262.18000 cents 6: 6 280.76000 cents 7: 2 293.49000 cents 7: 25 312.07000 cents 8: 10 343.38000 cents 8: 17 361.96000 cents 9: 18 393.27000 cents 9: 9 411.85000 cents 10: 26 443.16000 cents 10: 1 461.74000 cents 11: 7 474.47000 cents 11: 20 493.05000 cents 12: 15 524.36000 cents 12: 12 542.94000 cents 13: 23 574.25000 cents 13: 4 592.83000 cents 14: 4 605.56000 cents 14: 23 624.14000 cents 15: 12 655.45000 cents 15: 15 674.03000 cents 16: 20 705.34000 cents 16: 7 723.92000 cents 17: 1 736.65000 cents 17: 26 755.23000 cents 18: 9 786.54000 cents 18: 18 805.12000 cents 19: 17 836.43000 cents 19: 10 855.01000 cents 20: 25 886.32000 cents 20: 2 904.90000 cents 21: 6 917.63000 cents 21: 21 936.21000 cents 22: 14 967.52000 cents 22: 13 986.10000 cents 23: 22 1017.41000 cents 23: 5 1035.99000 cents 24: 3 1048.72000 cents 24: 24 1067.30000 cents 25: 11 1098.61000 cents 25: 16 1117.19000 cents 26: 19 1148.50000 cents 26: 8 1167.08000 cents Highest number of different intervals for one interval class: 2 Average number of different intervals per interval class: 2.00000 = 2
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 0.0 : 49.9 81.2 131.1 181.0 230.9 262.2 312.1 362.0 393.3 443.2 493.1 524.4 574.3 624.1 674.0 705.3 755.2 805.1 836.4 886.3 936.2 967.5 1017.4 1067.3 1117.2 1148.5 1198.4 49.9 : 31.3 81.2 131.1 181.0 212.3 262.2 312.1 343.4 393.3 443.2 474.5 524.4 574.2 624.1 655.4 705.3 755.2 786.5 836.4 886.3 917.6 967.5 1017.4 1067.3 1098.6 1148.5 1198.4 81.2 : 49.9 99.8 149.7 181.0 230.9 280.8 312.1 362.0 411.9 443.2 493.1 542.9 592.8 624.1 674.0 723.9 755.2 805.1 855.0 886.3 936.2 986.1 1036.0 1067.3 1117.2 1167.1 1198.4 131.1 : 49.9 99.8 131.1 181.0 230.9 262.2 312.1 362.0 393.3 443.2 493.1 542.9 574.2 624.1 674.0 705.3 755.2 805.1 836.4 886.3 936.2 986.1 1017.4 1067.3 1117.2 1148.5 1198.4 181.0 : 49.9 81.2 131.1 181.0 212.3 262.2 312.1 343.4 393.3 443.2 493.0 524.4 574.2 624.1 655.5 705.3 755.2 786.5 836.4 886.3 936.2 967.5 1017.4 1067.3 1098.6 1148.5 1198.4 230.9 : 31.3 81.2 131.1 162.4 212.3 262.2 293.5 343.4 393.3 443.2 474.5 524.4 574.3 605.6 655.4 705.3 736.6 786.5 836.4 886.3 917.6 967.5 1017.4 1048.7 1098.6 1148.5 1198.4 262.2 : 49.9 99.8 131.1 181.0 230.9 262.2 312.1 362.0 411.8 443.2 493.1 542.9 574.3 624.1 674.0 705.3 755.2 805.1 855.0 886.3 936.2 986.1 1017.4 1067.3 1117.2 1167.1 1198.4 312.1 : 49.9 81.2 131.1 181.0 212.3 262.2 312.1 362.0 393.3 443.2 493.1 524.4 574.2 624.1 655.4 705.3 755.2 805.1 836.4 886.3 936.2 967.5 1017.4 1067.3 1117.2 1148.5 1198.4 362.0 : 31.3 81.2 131.1 162.4 212.3 262.2 312.1 343.4 393.3 443.2 474.5 524.4 574.3 605.6 655.4 705.3 755.2 786.5 836.4 886.3 917.6 967.5 1017.4 1067.3 1098.6 1148.5 1198.4 393.3 : 49.9 99.8 131.1 181.0 230.9 280.8 312.1 362.0 411.9 443.2 493.1 542.9 574.3 624.1 674.0 723.9 755.2 805.1 855.0 886.3 936.2 986.1 1036.0 1067.3 1117.2 1167.1 1198.4 443.2 : 49.9 81.2 131.1 181.0 230.9 262.2 312.1 362.0 393.3 443.2 493.1 524.4 574.2 624.1 674.0 705.3 755.2 805.1 836.4 886.3 936.2 986.1 1017.4 1067.3 1117.2 1148.5 1198.4 493.1 : 31.3 81.2 131.1 181.0 212.3 262.2 312.1 343.4 393.3 443.2 474.5 524.4 574.2 624.1 655.5 705.3 755.2 786.5 836.4 886.3 936.2 967.5 1017.4 1067.3 1098.6 1148.5 1198.4 524.4 : 49.9 99.8 149.7 181.0 230.9 280.8 312.1 362.0 411.9 443.2 493.1 542.9 592.8 624.1 674.0 723.9 755.2 805.1 855.0 904.9 936.2 986.1 1036.0 1067.3 1117.2 1167.1 1198.4 574.3 : 49.9 99.8 131.1 181.0 230.9 262.2 312.1 362.0 393.3 443.2 493.0 542.9 574.2 624.1 674.0 705.3 755.2 805.1 855.0 886.3 936.2 986.1 1017.4 1067.3 1117.2 1148.5 1198.4 624.1 : 49.9 81.2 131.1 181.0 212.3 262.2 312.1 343.4 393.3 443.2 493.0 524.4 574.3 624.1 655.4 705.3 755.2 805.1 836.4 886.3 936.2 967.5 1017.4 1067.3 1098.6 1148.5 1198.4 674.0 : 31.3 81.2 131.1 162.4 212.3 262.2 293.5 343.4 393.3 443.2 474.5 524.4 574.3 605.6 655.5 705.3 755.2 786.5 836.4 886.3 917.6 967.5 1017.4 1048.7 1098.6 1148.5 1198.4 705.3 : 49.9 99.8 131.1 181.0 230.9 262.2 312.1 362.0 411.8 443.2 493.1 542.9 574.2 624.1 674.0 723.9 755.2 805.1 855.0 886.3 936.2 986.1 1017.4 1067.3 1117.2 1167.1 1198.4 755.2 : 49.9 81.2 131.1 181.0 212.3 262.2 312.1 362.0 393.3 443.2 493.1 524.4 574.2 624.1 674.0 705.3 755.2 805.1 836.4 886.3 936.2 967.5 1017.4 1067.3 1117.2 1148.5 1198.4 805.1 : 31.3 81.2 131.1 162.4 212.3 262.2 312.1 343.4 393.3 443.2 474.5 524.4 574.3 624.1 655.5 705.3 755.2 786.5 836.4 886.3 917.6 967.5 1017.4 1067.3 1098.6 1148.5 1198.4 836.4 : 49.9 99.8 131.1 181.0 230.9 280.8 312.1 362.0 411.8 443.2 493.0 542.9 592.8 624.1 674.0 723.9 755.2 805.1 855.0 886.3 936.2 986.1 1036.0 1067.3 1117.2 1167.1 1198.4 886.3 : 49.9 81.2 131.1 181.0 230.9 262.2 312.1 362.0 393.3 443.2 493.1 542.9 574.3 624.1 674.0 705.3 755.2 805.1 836.4 886.3 936.2 986.1 1017.4 1067.3 1117.2 1148.5 1198.4 936.2 : 31.3 81.2 131.1 181.0 212.3 262.2 312.1 343.4 393.3 443.2 493.1 524.4 574.3 624.1 655.4 705.3 755.2 786.5 836.4 886.3 936.2 967.5 1017.4 1067.3 1098.6 1148.5 1198.4 967.5 : 49.9 99.8 149.7 181.0 230.9 280.8 312.1 362.0 411.8 461.7 493.1 542.9 592.8 624.1 674.0 723.9 755.2 805.1 855.0 904.9 936.2 986.1 1036.0 1067.3 1117.2 1167.1 1198.4 1017.4: 49.9 99.8 131.1 181.0 230.9 262.2 312.1 362.0 411.9 443.2 493.1 542.9 574.3 624.1 674.0 705.3 755.2 805.1 855.0 886.3 936.2 986.1 1017.4 1067.3 1117.2 1148.5 1198.4 1067.3: 49.9 81.2 131.1 181.0 212.3 262.2 312.1 362.0 393.3 443.2 493.1 524.4 574.3 624.1 655.5 705.3 755.2 805.1 836.4 886.3 936.2 967.5 1017.4 1067.3 1098.6 1148.5 1198.4 1117.2: 31.3 81.2 131.1 162.4 212.3 262.2 312.1 343.4 393.3 443.2 474.5 524.4 574.3 605.6 655.5 705.3 755.2 786.5 836.4 886.3 917.6 967.5 1017.4 1048.7 1098.6 1148.5 1198.4 1148.5: 49.9 99.8 131.1 181.0 230.9 280.8 312.1 362.0 411.9 443.2 493.1 542.9 574.3 624.1 674.0 723.9 755.2 805.1 855.0 886.3 936.2 986.1 1017.4 1067.3 1117.2 1167.1 1198.4 1198.4
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 31.3100 .. 49.8900 cents 18.58000 cents 31.31000 cents 2: 81.2000 .. 99.7800 cents 18.58000 cents 31.31000 cents 3: 131.0900 .. 149.6700 cents 18.58000 cents 31.31000 cents 4: 162.4000 .. 180.9800 cents 18.58000 cents 12.73000 cents 5: 212.2900 .. 230.8700 cents 18.58000 cents 31.31000 cents 6: 262.1800 .. 280.7600 cents 18.58000 cents 31.31000 cents 7: 293.4900 .. 312.0700 cents 18.58000 cents 12.73000 cents 8: 343.3800 .. 361.9600 cents 18.58000 cents 31.31000 cents 9: 393.2700 .. 411.8500 cents 18.58000 cents 31.31000 cents 10: 443.1600 .. 461.7400 cents 18.58000 cents 31.31000 cents 11: 474.4700 .. 493.0500 cents 18.58000 cents 12.73000 cents 12: 524.3600 .. 542.9400 cents 18.58000 cents 31.31000 cents 13: 574.2500 .. 592.8300 cents 18.58000 cents 31.31000 cents 14: 605.5600 .. 624.1400 cents 18.58000 cents 12.73000 cents 15: 655.4500 .. 674.0300 cents 18.58000 cents 31.31000 cents 16: 705.3400 .. 723.9200 cents 18.58000 cents 31.31000 cents 17: 736.6500 .. 755.2300 cents 18.58000 cents 12.73000 cents 18: 786.5400 .. 805.1200 cents 18.58000 cents 31.31000 cents 19: 836.4300 .. 855.0100 cents 18.58000 cents 31.31000 cents 20: 886.3200 .. 904.9000 cents 18.58000 cents 31.31000 cents 21: 917.6300 .. 936.2100 cents 18.58000 cents 12.73000 cents 22: 967.5200 .. 986.1000 cents 18.58000 cents 31.31000 cents 23: 1017.4100 .. 1035.9900 cents 18.58000 cents 31.31000 cents 24: 1048.7200 .. 1067.3000 cents 18.58000 cents 12.73000 cents 25: 1098.6100 .. 1117.1900 cents 18.58000 cents 31.31000 cents 26: 1148.5000 .. 1167.0800 cents 18.58000 cents 31.31000 cents
SHOW DATA
Number of notes : 27 -- Interval properties -- Smallest interval : 31.31000 cents, class 1 Average step (divided formal octave): 44.3848 cents Largest one step interval : 49.89000 cents Average / Smallest step : 1.417592 Largest / Average step : 1.124033 Largest / Smallest step : 1.593421 Median interval of one step : 49.89000 cents, amount: 19 Most common interval of one step : 49.89000 cents, amount: 19 Least squares average step : 44.36962 cents, oct.: 1197.97979 cents Scale is strictly proper Scale has Myhill's property chromas: 18.58000 cents and 12.73000 cents, ratio: 1.459544 generators: 10 of 443.16000 cents and 17 of 755.23000 cents ET pair of linear temperament : 19&27 Scale is maximally even for L / S <= 2 Scale is distributional even Scale is a mode of a 1225-tone equal temperament with octave 1198.390 cents degrees: 51 83 134 185 236 268 319 370 402 453 504 536 587 638 689 721 772 823 855 906 957 989 1040 1091 1142 1174 1225 generators: 453 and 772 Number of contiguous 1-step segments: 0 Step pattern alph. order: ABAAABAABAABAAABAABAABAAABA Step pattern size order : LSLLLSLLSLLSLLLSLLSLLSLLLSL Scale is a Constant Structure, by a margin of 12.73000 cents Scale diversity : 1.177644 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.596892 Rothenberg efficiency : 0.691358 redundancy: 0.308642 Efficiency x scale size : 18.666667 Number of different interval sizes : 52 = 2.00000 / class Number of one step interval sizes : 2 Highest interval variety : 2 Mean interval variety : 2.00000 = 2 Median interval variety : 2 Lowest interval variety : 2 Smallest interval difference : 12.73000 cents Most common intervals : 443.16000 cents & inv., amount: 26 Scale is a chain of 13 triads 0.0 443.160 886.320 cents Most common triad is 0.0 443.160 755.230 cents, amount: 25 Number of recognisable fifths : 20, average 705.3400 cents Number of recognisable fourths : 20, average 493.0500 cents Best fifths form a closed circle Best minor thirds form a closed circle Formal octave complements present : 27 = 100.0000% 2/1 octave complements present : 0 = 0.0000% Inversional symmetry on degrees : 0 Inversional symmetry on intervals : 13-14 -- Rational properties --
FIT/MODE
27: 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: 5.3599 c. M:-8.9459 c. 46: 2 1 2 2 2 1 2 2 1 2 2 1 2 2 2 1 2 2 1 2 2 1 2 2 2 1 2 P M ME I SD: 2.1555 c. M: 3.5976 c. 73: 3 2 3 3 3 2 3 3 2 3 3 2 3 3 3 2 3 3 2 3 3 2 3 3 3 2 3 SP M ME I SD: 0.6242 c. M: 1.0418 c. 119: 5 3 5 5 5 3 5 5 3 5 5 3 5 5 5 3 5 5 3 5 5 3 5 5 5 3 5 SP M DE I SD: 0.4503 c. M:-0.7516 c. 192: 8 5 8 8 8 5 8 8 5 8 8 5 8 8 8 5 8 8 5 8 8 5 8 8 8 5 8 SP M DE I SD: 0.0418 c. M:-0.0697 c. 649: 27 17 27 27 27 17 27 27 17 27 27 17 27 27 27 17 27 27 17 27 27 17 27 27 27 17 27 SP M DE I SD: 0.0331 c. M: 0.0553 c. 841: 35 22 35 35 35 22 35 35 22 35 35 22 35 35 35 22 35 35 22 35 35 22 35 35 35 22 35 SP M DE I SD: 0.0160 c. M: 0.0267 c. 1033: 43 27 43 43 43 27 43 43 27 43 43 27 43 43 43 27 43 43 27 43 43 27 43 43 43 27 43 SP M DE I SD: 0.0053 c. M:-0.0088 c. 1225: 51 32 51 51 51 32 51 51 32 51 51 32 51 51 51 32 51 51 32 51 51 32 51 51 51 32 51 SP M DE I SD: 0.0021 c. M: 0.0035 c. 2258: 94 59 94 94 94 59 94 94 59 94 94 59 94 94 94 59 94 94 59 94 94 59 94 94 94 59 94 SP M DE I SD: 0.0013 c. M:-0.0021 c.
FIT/HARMONIC
1 .. 2 match: 1 H SD: 1.6100 cents 2 .. 4 match: 2 H SD: 1.8742 cents 3 .. 6 match: 3 H SD: 1.8675 cents 4 .. 8 match: 4 H SD: 2.0023 cents 5 .. 10 match: 5 H SD: 2.5062 cents 6 .. 12 match: 6 H SD: 3.2770 cents 7 .. 14 match: 7 H SD: 3.6507 cents 8 .. 16 match: 8 H SD: 4.9565 cents 9 .. 18 match: 9 H SD: 3.8648 cents 10 .. 20 match: 10 H SD: 2.9840 cents 11 .. 22 match: 11 H SD: 4.9238 cents 12 .. 24 match: 12 H SD: 2.7818 cents 13 .. 26 match: 13 H SD: 3.8292 cents 14 .. 28 match: 14 H SD: 3.3837 cents 15 .. 30 match: 15 H SD: 2.8516 cents 16 .. 32 match: 16 H SD: 3.8049 cents 17 .. 34 match: 17 H SD: 3.5782 cents 18 .. 36 match: 18 H SD: 2.6354 cents 19 .. 38 match: 19 H SD: 2.9745 cents 20 .. 40 match: 20 H SD: 2.1875 cents 21 .. 42 match: 21 H SD: 2.4134 cents 22 .. 44 match: 21 S SD: 3.0649 cents 23 .. 46 match: 21 SD: 2.9672 cents 24 .. 48 match: 23 S SD: 2.5259 cents 25 .. 50 match: 24 S SD: 2.3088 cents 26 .. 52 match: 22 SD: 2.5887 cents 27 .. 54 match: 25 SD: 2.2922 cents 28 .. 56 match: 24 SD: 2.2195 cents 29 .. 58 match: 24 SD: 2.3625 cents 30 .. 60 match: 25 S SD: 2.1028 cents 31 .. 62 match: 26 SD: 2.1158 cents 32 .. 64 match: 25 SD: 2.4905 cents 33 .. 66 match: 25 SD: 2.4003 cents 34 .. 68 match: 27 SD: 1.8367 cents 35 .. 70 match: 26 SD: 1.5714 cents 36 .. 72 match: 27 SD: 1.5464 cents 37 .. 74 match: 26 SD: 1.7195 cents 38 .. 76 match: 26 SD: 1.9337 cents 39 .. 78 match: 26 SD: 1.5147 cents 40 .. 80 match: 27 SD: 1.4952 cents 41 .. 82 match: 26 SD: 1.8953 cents 42 .. 84 match: 27 SD: 1.3851 cents 48 .. 96 match: 27 SD: 1.3122 cents 51 .. 102 match: 27 SD: 1.2899 cents 52 .. 104 match: 26 SD: 1.4717 cents 54 .. 108 match: 27 SD: 1.3114 cents 55 .. 110 match: 27 SD: 1.1020 cents 61 .. 122 match: 27 SD: 0.9826 cents 63 .. 126 match: 27 SD: 0.9490 cents 64 .. 128 match: 27 SD: 0.8915 cents 76 .. 152 match: 27 SD: 0.8179 cents 79 .. 158 match: 27 SD: 0.7637 cents 90 .. 180 match: 27 SD: 0.6669 cents 99 .. 198 match: 27 SD: 0.5461 cents 124 .. 248 match: 27 SD: 0.5269 cents 127 .. 254 match: 27 SD: 0.4436 cents 141 .. 282 match: 27 SD: 0.4330 cents 142 .. 284 match: 27 SD: 0.4318 cents 145 .. 290 match: 27 SD: 0.4224 cents 161 .. 322 match: 27 SD: 0.3998 cents 163 .. 326 match: 27 SD: 0.3937 cents 164 .. 328 match: 27 SD: 0.3671 cents 181 .. 362 match: 27 SD: 0.3414 cents 189 .. 378 match: 27 SD: 0.3180 cents 201 .. 402 match: 27 SD: 0.2990 cents 203 .. 406 match: 27 SD: 0.2422 cents 254 .. 508 match: 27 SD: 0.2369 cents 267 .. 534 match: 27 SD: 0.2289 cents 274 .. 547 match: 27 SD: 0.2109 cents 294 .. 587 match: 27 SD: 0.2101 cents 306 .. 611 match: 27 SD: 0.2070 cents 309 .. 617 match: 27 SD: 0.1908 cents 318 .. 635 match: 27 SD: 0.1880 cents 330 .. 659 match: 27 SD: 0.1791 cents 336 .. 671 match: 27 SD: 0.1716 cents 353 .. 705 match: 27 SD: 0.1548 cents 373 .. 745 match: 27 SD: 0.1513 cents 380 .. 759 match: 27 SD: 0.1473 cents 415 .. 829 match: 27 SD: 0.1469 cents 419 .. 837 match: 27 SD: 0.1468 cents 435 .. 869 match: 27 SD: 0.1096 cents 483 .. 965 match: 27 SD: 0.1038 cents 525 .. 1049 match: 27 SD: 0.1024 cents 546 .. 1091 match: 27 SD: 0.0915 cents