Scala analysis: xen18-erlich-mavila-16
7L 9s MOS for Mavila, L=132.52, s=30.99
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 30.990 cents 30.990000 2: 163.510 cents 163.510000 3: 194.500 cents 194.500000 4: 327.020 cents 327.020000 5: 358.010 cents 358.010000 6: 490.530 cents 490.530000 7: 521.520 cents 521.520000 8: 552.510 cents 552.510000 9: 685.030 cents 685.030000 10: 716.020 cents 716.020000 11: 848.540 cents 848.540000 12: 879.530 cents 879.530000 13: 1012.050 cents 1012.050000 14: 1043.040 cents 1043.040000 15: 1175.560 cents 1175.560000 16: 1206.550 cents 1206.550000
SHOW/INTERVAL
0: 30.9900 cents 30.9900 1: 30.9900 cents 30.9900 2: 132.5200 cents 132.5200 3: 30.9900 cents 30.9900 4: 132.5200 cents 132.5200 5: 30.9900 cents 30.9900 6: 132.5200 cents 132.5200 7: 30.9900 cents 30.9900 8: 30.9900 cents 30.9900 9: 132.5200 cents 132.5200 10: 30.9900 cents 30.9900 11: 132.5200 cents 132.5200 12: 30.9900 cents 30.9900 13: 132.5200 cents 132.5200 14: 30.9900 cents 30.9900 15: 132.5200 cents 132.5200 16: 30.9900 cents 30.9900
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 9 30.99000 cents 1: 7 132.52000 cents 2: 2 61.98000 cents 2: 14 163.51000 cents 3: 11 194.50000 cents 3: 5 296.03000 cents 4: 4 225.49000 cents 4: 12 327.02000 cents 5: 13 358.01000 cents 5: 3 459.54000 cents 6: 6 389.00000 cents 6: 10 490.53000 cents 7: 15 521.52000 cents 7: 1 623.05000 cents 8: 8 552.51000 cents 8: 8 654.04000 cents 9: 1 583.50000 cents 9: 15 685.03000 cents 10: 10 716.02000 cents 10: 6 817.55000 cents 11: 3 747.01000 cents 11: 13 848.54000 cents 12: 12 879.53000 cents 12: 4 981.06000 cents 13: 5 910.52000 cents 13: 11 1012.05000 cents 14: 14 1043.04000 cents 14: 2 1144.57000 cents 15: 7 1074.03000 cents 15: 9 1175.56000 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 0.0 : 31.0 163.5 194.5 327.0 358.0 490.5 521.5 552.5 685.0 716.0 848.5 879.5 1012.1 1043.0 1175.6 1206.5 31.0 : 132.5 163.5 296.0 327.0 459.5 490.5 521.5 654.0 685.0 817.5 848.5 981.1 1012.1 1144.6 1175.6 1206.5 163.5 : 31.0 163.5 194.5 327.0 358.0 389.0 521.5 552.5 685.0 716.0 848.5 879.5 1012.1 1043.0 1074.0 1206.5 194.5 : 132.5 163.5 296.0 327.0 358.0 490.5 521.5 654.0 685.0 817.6 848.5 981.1 1012.0 1043.0 1175.6 1206.5 327.0 : 31.0 163.5 194.5 225.5 358.0 389.0 521.5 552.5 685.0 716.0 848.5 879.5 910.5 1043.0 1074.0 1206.5 358.0 : 132.5 163.5 194.5 327.0 358.0 490.5 521.5 654.0 685.0 817.5 848.5 879.5 1012.0 1043.0 1175.6 1206.5 490.5 : 31.0 62.0 194.5 225.5 358.0 389.0 521.5 552.5 685.0 716.0 747.0 879.5 910.5 1043.0 1074.0 1206.5 521.5 : 31.0 163.5 194.5 327.0 358.0 490.5 521.5 654.0 685.0 716.0 848.5 879.5 1012.0 1043.0 1175.6 1206.5 552.5 : 132.5 163.5 296.0 327.0 459.5 490.5 623.0 654.0 685.0 817.5 848.5 981.1 1012.0 1144.6 1175.6 1206.5 685.0 : 31.0 163.5 194.5 327.0 358.0 490.5 521.5 552.5 685.0 716.0 848.5 879.5 1012.0 1043.0 1074.0 1206.5 716.0 : 132.5 163.5 296.0 327.0 459.5 490.5 521.5 654.0 685.0 817.5 848.5 981.1 1012.0 1043.0 1175.6 1206.5 848.5 : 31.0 163.5 194.5 327.0 358.0 389.0 521.5 552.5 685.0 716.0 848.5 879.5 910.5 1043.0 1074.0 1206.5 879.5 : 132.5 163.5 296.0 327.0 358.0 490.5 521.5 654.0 685.0 817.5 848.5 879.5 1012.0 1043.0 1175.6 1206.5 1012.1: 31.0 163.5 194.5 225.5 358.0 389.0 521.5 552.5 685.0 716.0 747.0 879.5 910.5 1043.0 1074.0 1206.5 1043.0: 132.5 163.5 194.5 327.0 358.0 490.5 521.5 654.0 685.0 716.0 848.5 879.5 1012.0 1043.0 1175.6 1206.5 1175.6: 31.0 62.0 194.5 225.5 358.0 389.0 521.5 552.5 583.5 716.0 747.0 879.5 910.5 1043.0 1074.0 1206.5 1206.5
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 30.9900 .. 132.5200 cents 101.53000 cents 30.99000 cents 2: 61.9800 .. 163.5100 cents 101.53000 cents -70.54000 cents 3: 194.5000 .. 296.0300 cents 101.53000 cents 30.99000 cents 4: 225.4900 .. 327.0200 cents 101.53000 cents -70.54000 cents 5: 358.0100 .. 459.5400 cents 101.53000 cents 30.99000 cents 6: 389.0000 .. 490.5300 cents 101.53000 cents -70.54000 cents 7: 521.5200 .. 623.0500 cents 101.53000 cents 30.99000 cents 8: 552.5100 .. 654.0400 cents 101.53000 cents -70.54000 cents 9: 583.5000 .. 685.0300 cents 101.53000 cents -70.54000 cents 10: 716.0200 .. 817.5500 cents 101.53000 cents 30.99000 cents 11: 747.0100 .. 848.5400 cents 101.53000 cents -70.54000 cents 12: 879.5300 .. 981.0600 cents 101.53000 cents 30.99000 cents 13: 910.5200 .. 1012.0500 cents 101.53000 cents -70.54000 cents 14: 1043.0400 .. 1144.5700 cents 101.53000 cents 30.99000 cents 15: 1074.0300 .. 1175.5600 cents 101.53000 cents -70.54000 cents
SHOW DATA
Number of notes : 16 -- Interval properties -- Smallest interval : 30.99000 cents, class 1 Average step (divided formal octave): 75.4094 cents Largest one step interval : 132.52000 cents Average / Smallest step : 2.433345 Largest / Average step : 1.757341 Largest / Smallest step : 4.276218 Median interval of one step : 30.99000 cents, amount: 9 Most common interval of one step : 30.99000 cents, amount: 9 Least squares average step : 75.51118 cents, oct.: 1208.17882 cents Scale is not proper Scale has Myhill's property chromas: 101.53000 cents and 70.54000 cents, ratio: 1.439325 generators: 7 of 521.52000 cents and 9 of 685.03000 cents ET pair of linear temperament : 37&118 Scale is distributional even Scale is a mode of a 1129-tone equal temperament with octave 1206.550 cents degrees: 29 153 182 306 335 459 488 517 641 670 794 823 947 976 1100 1129 generators: 488 and 641 Number of contiguous 1-step segments: 0 Step pattern alph. order: ABABABAABABABABA Step pattern size order : SLSLSLSSLSLSLSLS Scale is a Constant Structure, by a margin of 30.99000 cents Scale diversity : 1.182073 Lumma stability : 0.205478 Lumma impropriety factor : 0.434934 Rothenberg efficiency : 0.708333 redundancy: 0.291667 Efficiency x scale size : 11.333333 Number of different interval sizes : 30 = 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 : 30.99000 cents Most common intervals : 521.52000 cents & inv., amount: 15 Scale is a chain of 8 triads 0.0 30.990 685.030 cents Most common triad is 0.0 521.520 685.030 cents, amount: 14 Number of recognisable fifths : 10, average 716.0200 cents Number of appreciable fifths : 0 Number of recognisable fourths : 10, average 490.5300 cents Scale contains two identical disjunct heptachords Formal octave complements present : 15 = 93.7500% 2/1 octave complements present : 0 = 0.0000% Limited inverse transpositions : 7 Inversional symmetry on intervals : 3-4 11-12 -- Rational properties --
FIT/MODE
16: 0 2 0 2 0 2 1 0 2 0 2 0 2 0 2 1 N T3 SD: 35.4978 c. M: 62.7181 c. 17: 0 2 1 2 0 2 0 1 2 0 2 0 2 1 2 0 N SD: 20.3611 c. M: 30.9900 c. 18: 0 2 1 2 0 2 1 0 2 1 2 0 2 1 2 0 N SD: 20.1963 c. M: 30.9900 c. 20: 0 2 1 2 1 2 0 1 2 1 2 0 3 0 2 1 N SD: 22.9319 c. M: 42.8550 c. 22: 0 3 0 3 0 3 0 1 2 1 2 1 2 1 2 1 N SD: 19.5335 c. M: 30.9900 c. 23: 1 2 1 2 1 2 1 1 2 1 2 1 2 1 2 1 P M ME SD: 14.2209 c. M:-24.5357 c. 30: 1 3 1 3 1 3 1 1 3 1 3 1 3 1 3 1 N M DE SD: 6.1129 c. M:-10.5467 c. 37: 1 4 1 4 1 4 1 1 4 1 4 1 4 1 4 1 N M DE SD: 1.0727 c. M:-1.8508 c. 81: 2 9 2 9 2 9 2 2 9 2 9 2 9 2 9 2 N M DE SD: 0.7940 c. M: 1.3699 c. 118: 3 13 3 13 3 13 3 3 13 3 13 3 13 3 13 3 N M DE SD: 0.2087 c. M: 0.3600 c. 155: 4 17 4 17 4 17 4 4 17 4 17 4 17 4 17 4 N M DE SD: 0.0972 c. M:-0.1677 c. 273: 7 30 7 30 7 30 7 7 30 7 30 7 30 7 30 7 N M DE SD: 0.0350 c. M: 0.0604 c. 428: 11 47 11 47 11 47 11 11 47 11 47 11 47 11 47 11 N M DE SD: 0.0129 c. M:-0.0222 c. 701: 18 77 18 77 18 77 18 18 77 18 77 18 77 18 77 18 N M DE SD: 0.0058 c. M: 0.0099 c. 1129: 29 124 29 124 29 124 29 29 124 29 124 29 124 29 124 29 N M DE SD: 0.0013 c. M:-0.0023 c.
FIT/HARMONIC
1 .. 2 match: 1 H SD: 6.5500 cents 2 .. 4 match: 2 H SD: 7.7577 cents 3 .. 6 match: 3 H SD: 3.6922 cents 4 .. 8 match: 4 H SD: 13.4864 cents 5 .. 10 match: 5 H SD: 9.6292 cents 6 .. 12 match: 6 H SD: 10.5124 cents 7 .. 14 match: 7 H SD: 18.4838 cents 8 .. 16 match: 8 H SD: 8.9355 cents 9 .. 18 match: 8 S SD: 9.1606 cents 10 .. 20 match: 9 S SD: 8.1397 cents 11 .. 22 match: 9 S SD: 10.0822 cents 12 .. 24 match: 8 SD: 8.2280 cents 13 .. 26 match: 12 S SD: 7.8315 cents 14 .. 28 match: 9 SD: 7.5935 cents 15 .. 30 match: 11 SD: 7.4020 cents 16 .. 32 match: 10 SD: 5.7719 cents 17 .. 34 match: 8 SD: 4.0280 cents 18 .. 36 match: 12 SD: 6.5469 cents 19 .. 38 match: 13 SD: 5.7057 cents 20 .. 40 match: 12 SD: 6.4473 cents 21 .. 42 match: 14 SD: 5.4307 cents 22 .. 44 match: 13 SD: 5.3361 cents 23 .. 46 match: 13 SD: 4.6968 cents 24 .. 48 match: 14 SD: 4.3231 cents 25 .. 50 match: 15 SD: 4.0575 cents 26 .. 52 match: 12 SD: 4.3968 cents 27 .. 54 match: 13 SD: 3.4221 cents 28 .. 56 match: 13 SD: 3.8345 cents 29 .. 58 match: 14 SD: 2.7713 cents 30 .. 60 match: 14 SD: 3.0847 cents 31 .. 62 match: 16 SD: 3.0143 cents 32 .. 64 match: 14 SD: 3.2533 cents 33 .. 66 match: 15 SD: 2.5423 cents 34 .. 68 match: 15 SD: 2.6170 cents 35 .. 70 match: 16 SD: 2.4464 cents 36 .. 72 match: 15 SD: 3.0408 cents 37 .. 74 match: 15 SD: 2.6250 cents 39 .. 78 match: 16 SD: 1.8480 cents 41 .. 82 match: 15 SD: 2.1685 cents 42 .. 84 match: 16 SD: 2.0697 cents 43 .. 86 match: 16 SD: 1.5104 cents 46 .. 92 match: 15 SD: 2.2922 cents 47 .. 94 match: 16 SD: 1.9740 cents 48 .. 96 match: 16 SD: 1.5454 cents 49 .. 98 match: 16 SD: 1.5406 cents 51 .. 102 match: 16 SD: 1.4789 cents 52 .. 104 match: 16 SD: 1.4721 cents 57 .. 114 match: 16 SD: 1.3859 cents 58 .. 116 match: 16 SD: 1.2761 cents 62 .. 124 match: 16 SD: 1.2026 cents 68 .. 137 match: 16 SD: 1.0734 cents 74 .. 149 match: 16 SD: 1.0120 cents 82 .. 165 match: 16 SD: 0.9143 cents 91 .. 183 match: 16 SD: 0.8322 cents 92 .. 185 match: 16 SD: 0.7967 cents 100 .. 201 match: 16 SD: 0.7551 cents 101 .. 203 match: 16 SD: 0.6299 cents 109 .. 219 match: 16 SD: 0.5571 cents 144 .. 289 match: 16 SD: 0.5049 cents 152 .. 305 match: 16 SD: 0.4995 cents 160 .. 321 match: 16 SD: 0.4402 cents 174 .. 349 match: 16 SD: 0.4119 cents 183 .. 367 match: 16 SD: 0.3792 cents 210 .. 422 match: 16 SD: 0.3406 cents 213 .. 428 match: 16 SD: 0.3072 cents 253 .. 508 match: 16 SD: 0.3056 cents 261 .. 524 match: 16 SD: 0.2937 cents 269 .. 540 match: 16 SD: 0.2901 cents 275 .. 552 match: 16 SD: 0.2868 cents 278 .. 558 match: 16 SD: 0.2771 cents 283 .. 568 match: 16 SD: 0.2763 cents 284 .. 570 match: 16 SD: 0.2394 cents 293 .. 588 match: 16 SD: 0.2074 cents 370 .. 743 match: 16 SD: 0.1984 cents 375 .. 753 match: 16 SD: 0.1751 cents 404 .. 811 match: 16 SD: 0.1638 cents 443 .. 889 match: 16 SD: 0.1622 cents 452 .. 907 match: 16 SD: 0.1613 cents 486 .. 976 match: 16 SD: 0.1466 cents 495 .. 994 match: 16 SD: 0.1174 cents