Scala analysis: xen18-erlich-sensisept-19
8L 11s MOS for Sensisept, L=81.20, s=49.89
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: 131.090 cents 131.090000 3: 180.980 cents 180.980000 4: 262.180 cents 262.180000 5: 312.070 cents 312.070000 6: 393.270 cents 393.270000 7: 443.160 cents 443.160000 8: 493.050 cents 493.050000 9: 574.250 cents 574.250000 10: 624.140 cents 624.140000 11: 705.340 cents 705.340000 12: 755.230 cents 755.230000 13: 805.120 cents 805.120000 14: 886.320 cents 886.320000 15: 936.210 cents 936.210000 16: 1017.410 cents 1017.410000 17: 1067.300 cents 1067.300000 18: 1148.500 cents 1148.500000 19: 1198.390 cents 1198.390000
SHOW/INTERVAL
0: 49.8900 cents 49.8900 1: 49.8900 cents 49.8900 2: 81.2000 cents 81.2000 3: 49.8900 cents 49.8900 4: 81.2000 cents 81.2000 5: 49.8900 cents 49.8900 6: 81.2000 cents 81.2000 7: 49.8900 cents 49.8900 8: 49.8900 cents 49.8900 9: 81.2000 cents 81.2000 10: 49.8900 cents 49.8900 11: 81.2000 cents 81.2000 12: 49.8900 cents 49.8900 13: 49.8900 cents 49.8900 14: 81.2000 cents 81.2000 15: 49.8900 cents 49.8900 16: 81.2000 cents 81.2000 17: 49.8900 cents 49.8900 18: 81.2000 cents 81.2000 19: 49.8900 cents 49.8900
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 11 49.89000 cents 1: 8 81.20000 cents 2: 3 99.78000 cents 2: 16 131.09000 cents 3: 14 180.98000 cents 3: 5 212.29000 cents 4: 6 230.87000 cents 4: 13 262.18000 cents 5: 17 312.07000 cents 5: 2 343.38000 cents 6: 9 361.96000 cents 6: 10 393.27000 cents 7: 1 411.85000 cents 7: 18 443.16000 cents 8: 12 493.05000 cents 8: 7 524.36000 cents 9: 4 542.94000 cents 9: 15 574.25000 cents 10: 15 624.14000 cents 10: 4 655.45000 cents 11: 7 674.03000 cents 11: 12 705.34000 cents 12: 18 755.23000 cents 12: 1 786.54000 cents 13: 10 805.12000 cents 13: 9 836.43000 cents 14: 2 855.01000 cents 14: 17 886.32000 cents 15: 13 936.21000 cents 15: 6 967.52000 cents 16: 5 986.10000 cents 16: 14 1017.41000 cents 17: 16 1067.30000 cents 17: 3 1098.61000 cents 18: 8 1117.19000 cents 18: 11 1148.50000 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 0.0 : 49.9 131.1 181.0 262.2 312.1 393.3 443.2 493.1 574.3 624.1 705.3 755.2 805.1 886.3 936.2 1017.4 1067.3 1148.5 1198.4 49.9 : 81.2 131.1 212.3 262.2 343.4 393.3 443.2 524.4 574.2 655.4 705.3 755.2 836.4 886.3 967.5 1017.4 1098.6 1148.5 1198.4 131.1 : 49.9 131.1 181.0 262.2 312.1 362.0 443.2 493.1 574.2 624.1 674.0 755.2 805.1 886.3 936.2 1017.4 1067.3 1117.2 1198.4 181.0 : 81.2 131.1 212.3 262.2 312.1 393.3 443.2 524.4 574.2 624.1 705.3 755.2 836.4 886.3 967.5 1017.4 1067.3 1148.5 1198.4 262.2 : 49.9 131.1 181.0 230.9 312.1 362.0 443.2 493.1 542.9 624.1 674.0 755.2 805.1 886.3 936.2 986.1 1067.3 1117.2 1198.4 312.1 : 81.2 131.1 181.0 262.2 312.1 393.3 443.2 493.1 574.2 624.1 705.3 755.2 836.4 886.3 936.2 1017.4 1067.3 1148.5 1198.4 393.3 : 49.9 99.8 181.0 230.9 312.1 362.0 411.9 493.1 542.9 624.1 674.0 755.2 805.1 855.0 936.2 986.1 1067.3 1117.2 1198.4 443.2 : 49.9 131.1 181.0 262.2 312.1 362.0 443.2 493.1 574.2 624.1 705.3 755.2 805.1 886.3 936.2 1017.4 1067.3 1148.5 1198.4 493.1 : 81.2 131.1 212.3 262.2 312.1 393.3 443.2 524.4 574.2 655.5 705.3 755.2 836.4 886.3 967.5 1017.4 1098.6 1148.5 1198.4 574.3 : 49.9 131.1 181.0 230.9 312.1 362.0 443.2 493.0 574.2 624.1 674.0 755.2 805.1 886.3 936.2 1017.4 1067.3 1117.2 1198.4 624.1 : 81.2 131.1 181.0 262.2 312.1 393.3 443.2 524.4 574.3 624.1 705.3 755.2 836.4 886.3 967.5 1017.4 1067.3 1148.5 1198.4 705.3 : 49.9 99.8 181.0 230.9 312.1 362.0 443.2 493.1 542.9 624.1 674.0 755.2 805.1 886.3 936.2 986.1 1067.3 1117.2 1198.4 755.2 : 49.9 131.1 181.0 262.2 312.1 393.3 443.2 493.1 574.2 624.1 705.3 755.2 836.4 886.3 936.2 1017.4 1067.3 1148.5 1198.4 805.1 : 81.2 131.1 212.3 262.2 343.4 393.3 443.2 524.4 574.3 655.5 705.3 786.5 836.4 886.3 967.5 1017.4 1098.6 1148.5 1198.4 886.3 : 49.9 131.1 181.0 262.2 312.1 362.0 443.2 493.1 574.3 624.1 705.3 755.2 805.1 886.3 936.2 1017.4 1067.3 1117.2 1198.4 936.2 : 81.2 131.1 212.3 262.2 312.1 393.3 443.2 524.4 574.3 655.4 705.3 755.2 836.4 886.3 967.5 1017.4 1067.3 1148.5 1198.4 1017.4: 49.9 131.1 181.0 230.9 312.1 362.0 443.2 493.1 574.3 624.1 674.0 755.2 805.1 886.3 936.2 986.1 1067.3 1117.2 1198.4 1067.3: 81.2 131.1 181.0 262.2 312.1 393.3 443.2 524.4 574.3 624.1 705.3 755.2 836.4 886.3 936.2 1017.4 1067.3 1148.5 1198.4 1148.5: 49.9 99.8 181.0 230.9 312.1 362.0 443.2 493.1 542.9 624.1 674.0 755.2 805.1 855.0 936.2 986.1 1067.3 1117.2 1198.4 1198.4
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 49.8900 .. 81.2000 cents 31.31000 cents 49.89000 cents 2: 99.7800 .. 131.0900 cents 31.31000 cents 18.58000 cents 3: 180.9800 .. 212.2900 cents 31.31000 cents 49.89000 cents 4: 230.8700 .. 262.1800 cents 31.31000 cents 18.58000 cents 5: 312.0700 .. 343.3800 cents 31.31000 cents 49.89000 cents 6: 361.9600 .. 393.2700 cents 31.31000 cents 18.58000 cents 7: 411.8500 .. 443.1600 cents 31.31000 cents 18.58000 cents 8: 493.0500 .. 524.3600 cents 31.31000 cents 49.89000 cents 9: 542.9400 .. 574.2500 cents 31.31000 cents 18.58000 cents 10: 624.1400 .. 655.4500 cents 31.31000 cents 49.89000 cents 11: 674.0300 .. 705.3400 cents 31.31000 cents 18.58000 cents 12: 755.2300 .. 786.5400 cents 31.31000 cents 49.89000 cents 13: 805.1200 .. 836.4300 cents 31.31000 cents 18.58000 cents 14: 855.0100 .. 886.3200 cents 31.31000 cents 18.58000 cents 15: 936.2100 .. 967.5200 cents 31.31000 cents 49.89000 cents 16: 986.1000 .. 1017.4100 cents 31.31000 cents 18.58000 cents 17: 1067.3000 .. 1098.6100 cents 31.31000 cents 49.89000 cents 18: 1117.1900 .. 1148.5000 cents 31.31000 cents 18.58000 cents
SHOW DATA
Number of notes : 19 -- Interval properties -- Smallest interval : 49.89000 cents, class 1 Average step (divided formal octave): 63.0732 cents Largest one step interval : 81.20000 cents Average / Smallest step : 1.264244 Largest / Average step : 1.287394 Largest / Smallest step : 1.627581 Median interval of one step : 49.89000 cents, amount: 11 Most common interval of one step : 49.89000 cents, amount: 11 Least squares average step : 63.11119 cents, oct.: 1199.11254 cents Scale is strictly proper Scale has Myhill's property chromas: 31.31000 cents and 18.58000 cents, ratio: 1.685145 generators: 7 of 443.16000 cents and 12 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: 51 134 185 268 319 402 453 504 587 638 721 772 823 906 957 1040 1091 1174 1225 generators: 453 and 772 Number of contiguous 1-step segments: 0 Step pattern alph. order: ABABABAABABAABABABA Step pattern size order : SLSLSLSSLSLSSLSLSLS Scale is a Constant Structure, by a margin of 18.58000 cents Scale diversity : 1.188889 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.529719 Rothenberg efficiency : 0.701754 redundancy: 0.298246 Efficiency x scale size : 13.333333 Number of different interval sizes : 36 = 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 : 18.58000 cents Most common intervals : 443.16000 cents & inv., amount: 18 Scale is a chain of 9 triads 0.0 443.160 886.320 cents Most common triad is 0.0 443.160 755.230 cents, amount: 17 Number of recognisable fifths : 12, average 705.3400 cents Number of recognisable fourths : 12, average 493.0500 cents Best fifths form a closed circle Best major thirds form a closed circle Best minor thirds form a closed circle Formal octave complements present : 19 = 100.0000% 2/1 octave complements present : 0 = 0.0000% Inversional symmetry on degrees : 0 Inversional symmetry on intervals : 9-10 -- Rational properties --
FIT/MODE
19: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 SP B ME I SD: 9.0259 c. M:-14.8311 c. 27: 1 2 1 2 1 2 1 1 2 1 2 1 1 2 1 2 1 2 1 P M ME I SD: 3.7691 c. M:-6.1933 c. 46: 2 3 2 3 2 3 2 2 3 2 3 2 2 3 2 3 2 3 2 SP M ME I SD: 1.5158 c. M:-2.4907 c. 73: 3 5 3 5 3 5 3 3 5 3 5 3 3 5 3 5 3 5 3 SP M DE I SD: 0.4389 c. M:-0.7212 c. 119: 5 8 5 8 5 8 5 5 8 5 8 5 5 8 5 8 5 8 5 SP M DE I SD: 0.3167 c. M:-0.5203 c. 192: 8 13 8 13 8 13 8 8 13 8 13 8 8 13 8 13 8 13 8 SP M DE I SD: 0.0294 c. M:-0.0483 c. 649: 27 44 27 44 27 44 27 27 44 27 44 27 27 44 27 44 27 44 27 SP M DE I SD: 0.0233 c. M:-0.0383 c. 841: 35 57 35 57 35 57 35 35 57 35 57 35 35 57 35 57 35 57 35 SP M DE I SD: 0.0113 c. M:-0.0185 c. 1033: 43 70 43 70 43 70 43 43 70 43 70 43 43 70 43 70 43 70 43 SP M DE I SD: 0.0037 c. M:-0.0061 c. 1225: 51 83 51 83 51 83 51 51 83 51 83 51 51 83 51 83 51 83 51 SP M DE I SD: 0.0015 c. M:-0.0024 c. 2258: 94 153 94 153 94 153 94 94 153 94 153 94 94 153 94 153 94 153 94 SP M DE I SD: 0.0009 c. M:-0.0015 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: 8.3899 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: 5.7398 cents 8 .. 16 match: 8 H SD: 7.7775 cents 9 .. 18 match: 9 H SD: 6.2113 cents 10 .. 20 match: 10 H SD: 4.7391 cents 11 .. 22 match: 11 H SD: 6.9713 cents 12 .. 24 match: 12 H SD: 4.2370 cents 13 .. 26 match: 13 H SD: 5.7117 cents 14 .. 28 match: 14 H SD: 4.8702 cents 15 .. 30 match: 15 H SD: 4.3825 cents 16 .. 32 match: 14 SD: 4.4069 cents 17 .. 34 match: 14 SD: 5.1955 cents 18 .. 36 match: 17 SD: 3.9828 cents 19 .. 38 match: 16 SD: 4.5393 cents 20 .. 40 match: 18 SD: 3.5252 cents 21 .. 42 match: 17 SD: 4.0684 cents 22 .. 44 match: 16 SD: 4.0917 cents 24 .. 48 match: 19 SD: 2.9586 cents 25 .. 50 match: 19 SD: 2.7782 cents 27 .. 54 match: 19 SD: 2.7049 cents 28 .. 56 match: 19 SD: 2.6364 cents 30 .. 60 match: 19 SD: 2.3488 cents 34 .. 68 match: 19 SD: 2.2516 cents 35 .. 70 match: 19 SD: 1.8560 cents 36 .. 72 match: 19 SD: 1.6943 cents 46 .. 92 match: 19 SD: 1.6571 cents 48 .. 96 match: 19 SD: 1.6500 cents 51 .. 102 match: 19 SD: 1.4892 cents 54 .. 108 match: 19 SD: 1.4005 cents 55 .. 110 match: 19 SD: 1.2560 cents 61 .. 122 match: 19 SD: 1.1733 cents 62 .. 124 match: 19 SD: 1.1728 cents 64 .. 128 match: 19 SD: 1.0747 cents 66 .. 132 match: 19 SD: 0.8668 cents 90 .. 180 match: 19 SD: 0.8072 cents 91 .. 182 match: 19 SD: 0.7932 cents 97 .. 194 match: 19 SD: 0.7562 cents 99 .. 198 match: 19 SD: 0.6649 cents 102 .. 204 match: 19 SD: 0.6407 cents 106 .. 212 match: 19 SD: 0.5935 cents 117 .. 234 match: 19 SD: 0.5776 cents 127 .. 254 match: 19 SD: 0.5074 cents 137 .. 274 match: 19 SD: 0.4625 cents 164 .. 328 match: 19 SD: 0.4593 cents 165 .. 330 match: 19 SD: 0.4150 cents 181 .. 362 match: 19 SD: 0.4060 cents 189 .. 378 match: 19 SD: 0.3989 cents 191 .. 382 match: 19 SD: 0.3585 cents 201 .. 402 match: 19 SD: 0.3173 cents 203 .. 406 match: 19 SD: 0.2890 cents 243 .. 486 match: 19 SD: 0.2851 cents 244 .. 488 match: 19 SD: 0.2727 cents 270 .. 539 match: 19 SD: 0.2530 cents 305 .. 609 match: 19 SD: 0.2409 cents 306 .. 611 match: 19 SD: 0.2384 cents 318 .. 635 match: 19 SD: 0.1795 cents 373 .. 745 match: 19 SD: 0.1776 cents 380 .. 759 match: 19 SD: 0.1376 cents 435 .. 869 match: 19 SD: 0.1369 cents 446 .. 891 match: 19 SD: 0.1239 cents 470 .. 939 match: 19 SD: 0.1215 cents 507 .. 1013 match: 19 SD: 0.1167 cents 580 .. 1159 match: 19 SD: 0.1166 cents 583 .. 1165 match: 19 SD: 0.0995 cents