Scala analysis: xen18-erlich-amity-18
7L 11s MOS for Amity, L=134.62, s=23.41
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 23.410 cents 23.410000 2: 158.030 cents 158.030000 3: 181.440 cents 181.440000 4: 316.060 cents 316.060000 5: 339.470 cents 339.470000 6: 362.880 cents 362.880000 7: 497.500 cents 497.500000 8: 520.910 cents 520.910000 9: 655.530 cents 655.530000 10: 678.940 cents 678.940000 11: 702.350 cents 702.350000 12: 836.970 cents 836.970000 13: 860.380 cents 860.380000 14: 883.790 cents 883.790000 15: 1018.410 cents 1018.410000 16: 1041.820 cents 1041.820000 17: 1176.440 cents 1176.440000 18: 1199.850 cents 1199.850000
SHOW/INTERVAL
0: 23.4100 cents 23.4100 1: 23.4100 cents 23.4100 2: 134.6200 cents 134.6200 3: 23.4100 cents 23.4100 4: 134.6200 cents 134.6200 5: 23.4100 cents 23.4100 6: 23.4100 cents 23.4100 7: 134.6200 cents 134.6200 8: 23.4100 cents 23.4100 9: 134.6200 cents 134.6200 10: 23.4100 cents 23.4100 11: 23.4100 cents 23.4100 12: 134.6200 cents 134.6200 13: 23.4100 cents 23.4100 14: 23.4100 cents 23.4100 15: 134.6200 cents 134.6200 16: 23.4100 cents 23.4100 17: 134.6200 cents 134.6200 18: 23.4100 cents 23.4100
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 11 23.41000 cents 1: 7 134.62000 cents 2: 4 46.82000 cents 2: 14 158.03000 cents 3: 15 181.44000 cents 3: 3 292.65000 cents 4: 8 204.85000 cents 4: 10 316.06000 cents 5: 1 228.26000 cents 5: 17 339.47000 cents 6: 12 362.88000 cents 6: 6 474.09000 cents 7: 5 386.29000 cents 7: 13 497.50000 cents 8: 16 520.91000 cents 8: 2 632.12000 cents 9: 9 544.32000 cents 9: 9 655.53000 cents 10: 2 567.73000 cents 10: 16 678.94000 cents 11: 13 702.35000 cents 11: 5 813.56000 cents 12: 6 725.76000 cents 12: 12 836.97000 cents 13: 17 860.38000 cents 13: 1 971.59000 cents 14: 10 883.79000 cents 14: 8 995.00000 cents 15: 3 907.20000 cents 15: 15 1018.41000 cents 16: 14 1041.82000 cents 16: 4 1153.03000 cents 17: 7 1065.23000 cents 17: 11 1176.44000 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 0.0 : 23.4 158.0 181.4 316.1 339.5 362.9 497.5 520.9 655.5 678.9 702.3 837.0 860.4 883.8 1018.4 1041.8 1176.4 1199.8 23.4 : 134.6 158.0 292.6 316.1 339.5 474.1 497.5 632.1 655.5 678.9 813.6 837.0 860.4 995.0 1018.4 1153.0 1176.4 1199.8 158.0 : 23.4 158.0 181.4 204.9 339.5 362.9 497.5 520.9 544.3 678.9 702.3 725.8 860.4 883.8 1018.4 1041.8 1065.2 1199.8 181.4 : 134.6 158.0 181.4 316.1 339.5 474.1 497.5 520.9 655.5 678.9 702.3 837.0 860.4 995.0 1018.4 1041.8 1176.4 1199.8 316.1 : 23.4 46.8 181.4 204.8 339.5 362.9 386.3 520.9 544.3 567.7 702.3 725.8 860.4 883.8 907.2 1041.8 1065.2 1199.8 339.5 : 23.4 158.0 181.4 316.1 339.5 362.9 497.5 520.9 544.3 678.9 702.3 837.0 860.4 883.8 1018.4 1041.8 1176.4 1199.9 362.9 : 134.6 158.0 292.6 316.1 339.5 474.1 497.5 520.9 655.5 678.9 813.6 837.0 860.4 995.0 1018.4 1153.0 1176.4 1199.8 497.5 : 23.4 158.0 181.4 204.8 339.5 362.9 386.3 520.9 544.3 678.9 702.3 725.8 860.4 883.8 1018.4 1041.8 1065.2 1199.8 520.9 : 134.6 158.0 181.4 316.1 339.5 362.9 497.5 520.9 655.5 678.9 702.3 837.0 860.4 995.0 1018.4 1041.8 1176.4 1199.8 655.5 : 23.4 46.8 181.4 204.8 228.3 362.9 386.3 520.9 544.3 567.7 702.3 725.8 860.4 883.8 907.2 1041.8 1065.2 1199.8 678.9 : 23.4 158.0 181.4 204.8 339.5 362.9 497.5 520.9 544.3 678.9 702.3 837.0 860.4 883.8 1018.4 1041.8 1176.4 1199.8 702.3 : 134.6 158.0 181.4 316.1 339.5 474.1 497.5 520.9 655.5 678.9 813.6 837.0 860.4 995.0 1018.4 1153.0 1176.4 1199.8 837.0 : 23.4 46.8 181.4 204.8 339.5 362.9 386.3 520.9 544.3 678.9 702.4 725.8 860.4 883.8 1018.4 1041.8 1065.2 1199.8 860.4 : 23.4 158.0 181.4 316.1 339.5 362.9 497.5 520.9 655.5 678.9 702.4 837.0 860.4 995.0 1018.4 1041.8 1176.4 1199.8 883.8 : 134.6 158.0 292.6 316.1 339.5 474.1 497.5 632.1 655.5 678.9 813.6 837.0 971.6 995.0 1018.4 1153.0 1176.4 1199.8 1018.4: 23.4 158.0 181.4 204.8 339.5 362.9 497.5 520.9 544.3 678.9 702.3 837.0 860.4 883.8 1018.4 1041.8 1065.2 1199.8 1041.8: 134.6 158.0 181.4 316.1 339.5 474.1 497.5 520.9 655.5 678.9 813.6 837.0 860.4 995.0 1018.4 1041.8 1176.4 1199.8 1176.4: 23.4 46.8 181.4 204.9 339.5 362.9 386.3 520.9 544.3 678.9 702.3 725.8 860.4 883.8 907.2 1041.8 1065.2 1199.8 1199.8
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 23.4100 .. 134.6200 cents 111.21000 cents 23.41000 cents 2: 46.8200 .. 158.0300 cents 111.21000 cents -87.80000 cents 3: 181.4400 .. 292.6500 cents 111.21000 cents 23.41000 cents 4: 204.8500 .. 316.0600 cents 111.21000 cents -87.80000 cents 5: 228.2600 .. 339.4700 cents 111.21000 cents -87.80000 cents 6: 362.8800 .. 474.0900 cents 111.21000 cents 23.41000 cents 7: 386.2900 .. 497.5000 cents 111.21000 cents -87.80000 cents 8: 520.9100 .. 632.1200 cents 111.21000 cents 23.41000 cents 9: 544.3200 .. 655.5300 cents 111.21000 cents -87.80000 cents 10: 567.7300 .. 678.9400 cents 111.21000 cents -87.80000 cents 11: 702.3500 .. 813.5600 cents 111.21000 cents 23.41000 cents 12: 725.7600 .. 836.9700 cents 111.21000 cents -87.80000 cents 13: 860.3800 .. 971.5900 cents 111.21000 cents 23.41000 cents 14: 883.7900 .. 995.0000 cents 111.21000 cents -87.80000 cents 15: 907.2000 .. 1018.4100 cents 111.21000 cents -87.80000 cents 16: 1041.8200 .. 1153.0300 cents 111.21000 cents 23.41000 cents 17: 1065.2300 .. 1176.4400 cents 111.21000 cents -87.80000 cents
SHOW DATA
Number of notes : 18 -- Interval properties -- Smallest interval : 23.41000 cents, class 1 Average step (divided formal octave): 66.6583 cents Largest one step interval : 134.62000 cents Average / Smallest step : 2.847430 Largest / Average step : 2.019552 Largest / Smallest step : 5.750534 Median interval of one step : 23.41000 cents, amount: 11 Most common interval of one step : 23.41000 cents, amount: 11 Least squares average step : 66.96593 cents, oct.: 1205.38677 cents Scale is not proper Scale has Myhill's property chromas: 111.21000 cents and 87.80000 cents, ratio: 1.266629 generators: 5 of 339.47000 cents and 13 of 860.38000 cents ET pair of linear temperament : 46&53 Scale is distributional even Scale is a mode of a 205-tone equal temperament with octave 1199.850 cents degrees: 4 27 31 54 58 62 85 89 112 116 120 143 147 151 174 178 201 205 generators: 58 and 147 Number of contiguous 1-step segments: 0 Step pattern alph. order: ABABAABABAABAABABA Step pattern size order : SLSLSSLSLSSLSSLSLS Scale is a Constant Structure, by a margin of 23.41000 cents Scale diversity : 1.107546 Lumma stability : 0.156086 Lumma impropriety factor : 0.570763 Rothenberg efficiency : 0.703704 redundancy: 0.296296 Efficiency x scale size : 12.666667 Number of different interval sizes : 34 = 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 : 23.41000 cents Most common intervals : 339.47000 cents & inv., amount: 17 Scale is a chain of 9 triads 0.0 316.060 860.380 cents Most common triad is 0.0 339.470 860.380 cents, amount: 16 Number of recognisable fifths : 13, average 702.3500 cents Number of recognisable fourths : 13, average 497.5000 cents Formal octave complements present : 17 = 94.4444% 2/1 octave complements present : 0 = 0.0000% Limited inverse transpositions : 5 Inversional symmetry on intervals : 2-3 11-12 -- Rational properties --
FIT/MODE
18: 0 2 0 2 1 0 2 0 2 1 0 2 0 1 2 0 2 1 N T3 SD: 36.9387 c. M: 60.4800 c. 19: 0 2 1 2 0 0 3 0 2 0 1 2 0 1 2 0 2 1 N SD: 25.8612 c. M: 47.4400 c. 20: 0 3 0 2 1 0 2 1 2 0 1 2 0 1 2 0 3 0 N SD: 16.3266 c. M: 23.4100 c. 22: 0 3 0 3 0 1 2 1 2 0 1 2 1 0 3 0 3 0 N SD: 15.5359 c. M: 24.4764 c. 24: 0 3 1 2 1 0 3 0 3 1 0 3 0 1 2 1 3 0 N SD: 14.7347 c. M: 23.4100 c. 27: 1 3 0 3 1 0 3 1 3 0 1 3 0 1 3 0 3 1 N SD: 12.7818 c. M: 21.0289 c. 28: 1 3 0 3 1 0 4 0 3 1 0 4 0 1 3 0 3 1 N SD: 13.8892 c. M: 20.0657 c. 30: 0 4 0 4 0 1 3 1 3 1 0 4 0 1 3 1 3 1 N SD: 14.0235 c. M: 23.4100 c. 31: 1 3 1 3 1 0 4 0 4 1 0 4 0 1 3 1 3 1 N SD: 10.9117 c. M: 17.7471 c. 32: 1 3 1 3 1 1 3 1 3 1 1 3 1 1 3 1 3 1 N M DE SD: 10.4879 c. M: 18.1097 c. 33: 1 3 1 4 0 1 4 0 4 1 0 4 1 0 4 1 3 1 N SD: 9.8665 c. M: 12.9491 c. 38: 1 4 1 4 1 1 4 1 4 1 0 5 0 1 4 1 4 1 N SD: 9.3032 c. M:-16.0200 c. 39: 1 4 1 4 1 1 4 1 4 1 1 4 1 1 4 1 4 1 N M DE SD: 5.4768 c. M: 9.4569 c. 46: 1 5 1 5 1 1 5 1 5 1 1 5 1 1 5 1 5 1 N M DE SD: 1.9908 c. M: 3.4376 c. 53: 1 6 1 6 1 1 6 1 6 1 1 6 1 1 6 1 6 1 N M DE SD: 0.5743 c. M:-0.9917 c. 152: 3 17 3 17 3 3 17 3 17 3 3 17 3 3 17 3 17 3 N M DE SD: 0.2020 c. M: 0.3487 c. 205: 4 23 4 23 4 4 23 4 23 4 4 23 4 4 23 4 23 4 N M DE SD: 0.0013 c. M: 0.0022 c.
FIT/HARMONIC
1 .. 2 match: 1 H SD: 0.1500 cents 2 .. 4 match: 2 H SD: 0.2113 cents 3 .. 6 match: 3 H SD: 0.2673 cents 4 .. 8 match: 4 H SD: 13.7111 cents 5 .. 10 match: 5 H SD: 13.1724 cents 6 .. 12 match: 6 H SD: 8.2954 cents 7 .. 14 match: 7 H SD: 16.9703 cents 8 .. 16 match: 8 H SD: 10.1609 cents 9 .. 18 match: 8 S SD: 8.6917 cents 10 .. 20 match: 9 S SD: 9.6064 cents 11 .. 22 match: 9 S SD: 9.1636 cents 12 .. 24 match: 9 S SD: 7.9504 cents 13 .. 26 match: 11 S SD: 8.0190 cents 14 .. 28 match: 10 SD: 8.1171 cents 15 .. 30 match: 11 SD: 7.9011 cents 16 .. 32 match: 11 SD: 6.0332 cents 17 .. 34 match: 9 SD: 5.6527 cents 18 .. 36 match: 10 SD: 3.3245 cents 19 .. 38 match: 13 SD: 6.7463 cents 20 .. 40 match: 13 SD: 5.9655 cents 21 .. 42 match: 12 SD: 5.6913 cents 22 .. 44 match: 13 SD: 5.4509 cents 23 .. 46 match: 13 SD: 5.4831 cents 24 .. 48 match: 14 SD: 4.5850 cents 25 .. 50 match: 15 SD: 4.4067 cents 26 .. 52 match: 13 SD: 4.3438 cents 27 .. 54 match: 13 SD: 4.3202 cents 28 .. 56 match: 15 SD: 3.6420 cents 29 .. 58 match: 14 SD: 3.5544 cents 30 .. 60 match: 14 SD: 3.0501 cents 31 .. 62 match: 16 SD: 2.9958 cents 32 .. 64 match: 13 SD: 3.6104 cents 33 .. 66 match: 16 SD: 2.9542 cents 34 .. 68 match: 16 SD: 2.4423 cents 35 .. 70 match: 15 SD: 2.6181 cents 36 .. 72 match: 16 SD: 2.4809 cents 37 .. 74 match: 17 SD: 2.4627 cents 38 .. 76 match: 14 SD: 2.7202 cents 39 .. 78 match: 16 SD: 2.0582 cents 40 .. 80 match: 16 SD: 1.9728 cents 41 .. 82 match: 17 SD: 2.4396 cents 42 .. 84 match: 18 SD: 1.8021 cents 43 .. 86 match: 17 SD: 2.0970 cents 44 .. 88 match: 16 SD: 1.8408 cents 45 .. 90 match: 17 SD: 1.6276 cents 48 .. 96 match: 16 SD: 1.5566 cents 49 .. 98 match: 16 SD: 2.2038 cents 50 .. 100 match: 18 SD: 1.6077 cents 51 .. 102 match: 18 SD: 1.5413 cents 52 .. 104 match: 18 SD: 1.5045 cents 53 .. 106 match: 17 SD: 1.7987 cents 54 .. 108 match: 18 SD: 1.2801 cents 56 .. 112 match: 18 SD: 1.2472 cents 58 .. 116 match: 17 SD: 1.7029 cents 59 .. 118 match: 18 SD: 1.5182 cents 60 .. 120 match: 18 SD: 1.1122 cents 64 .. 128 match: 18 SD: 1.0686 cents 65 .. 130 match: 18 SD: 1.0163 cents 72 .. 144 match: 18 SD: 1.0072 cents 74 .. 148 match: 18 SD: 0.7949 cents 96 .. 192 match: 18 SD: 0.7723 cents 102 .. 204 match: 18 SD: 0.7369 cents 106 .. 212 match: 18 SD: 0.7146 cents 115 .. 230 match: 18 SD: 0.6885 cents 116 .. 232 match: 18 SD: 0.6386 cents 120 .. 240 match: 18 SD: 0.6087 cents 125 .. 250 match: 18 SD: 0.6003 cents 126 .. 252 match: 18 SD: 0.5487 cents 134 .. 268 match: 18 SD: 0.5273 cents 135 .. 270 match: 18 SD: 0.5196 cents 144 .. 288 match: 18 SD: 0.4903 cents 145 .. 290 match: 18 SD: 0.4860 cents 146 .. 292 match: 18 SD: 0.4280 cents 154 .. 308 match: 18 SD: 0.3832 cents 180 .. 360 match: 18 SD: 0.3576 cents 200 .. 400 match: 18 SD: 0.3460 cents 210 .. 420 match: 18 SD: 0.3242 cents 216 .. 432 match: 18 SD: 0.3149 cents 219 .. 438 match: 18 SD: 0.2726 cents 270 .. 540 match: 18 SD: 0.2592 cents 282 .. 564 match: 18 SD: 0.2525 cents 291 .. 582 match: 18 SD: 0.1854 cents 356 .. 712 match: 18 SD: 0.1792 cents 365 .. 730 match: 18 SD: 0.1716 cents 378 .. 756 match: 18 SD: 0.1676 cents 433 .. 866 match: 18 SD: 0.1631 cents 438 .. 876 match: 18 SD: 0.1619 cents 441 .. 882 match: 18 SD: 0.1513 cents 450 .. 900 match: 18 SD: 0.1484 cents 489 .. 978 match: 18 SD: 0.1364 cents 513 .. 1026 match: 18 SD: 0.1307 cents 523 .. 1046 match: 18 SD: 0.1273 cents 544 .. 1088 match: 18 SD: 0.1199 cents 578 .. 1156 match: 18 SD: 0.1154 cents 587 .. 1174 match: 18 SD: 0.1085 cents 595 .. 1190 match: 18 SD: 0.0984 cents