Scala analysis: xen18-erlich-srutal-06
2L 4s MOS for Srutal, L=390.16, s=104.70
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 104.700 cents 104.700000 2: 494.860 cents 494.860000 3: 599.560 cents 599.560000 4: 704.260 cents 704.260000 5: 1094.420 cents 1094.420000 6: 1199.120 cents 1199.120000
SHOW/INTERVAL
0: 104.7000 cents 104.7000 1: 104.7000 cents 104.7000 2: 390.1600 cents 390.1600 3: 104.7000 cents 104.7000 4: 104.7000 cents 104.7000 5: 390.1600 cents 390.1600 6: 104.7000 cents 104.7000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 4 104.70000 cents 1: 2 390.16000 cents 2: 2 209.40000 cents 2: 4 494.86000 cents 3: 6 599.56000 cents 4: 4 704.26000 cents 4: 2 989.72000 cents 5: 2 808.96000 cents 5: 4 1094.42000 cents Highest number of different intervals for one interval class: 2 Average number of different intervals per interval class: 1.80000 = 9/5
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 0.0 : 104.7 494.9 599.6 704.3 1094.4 1199.1 104.7 : 390.2 494.9 599.6 989.7 1094.4 1199.1 494.9 : 104.7 209.4 599.6 704.3 809.0 1199.1 599.6 : 104.7 494.9 599.6 704.3 1094.4 1199.1 704.3 : 390.2 494.9 599.6 989.7 1094.4 1199.1 1094.4: 104.7 209.4 599.6 704.3 809.0 1199.1 1199.1
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 104.7000 .. 390.1600 cents 285.46000 cents 104.70000 cents 2: 209.4000 .. 494.8600 cents 285.46000 cents -180.76000 cents 3: 599.5600 .. 599.5600 cents 1/1, 0.0000 cents 104.70000 cents 4: 704.2600 .. 989.7200 cents 285.46000 cents 104.70000 cents 5: 808.9600 .. 1094.4200 cents 285.46000 cents -180.76000 cents
SHOW DATA
Number of notes : 6 -- Interval properties -- Smallest interval : 104.70000 cents, class 1 Average step (divided formal octave): 199.8533 cents Largest one step interval : 390.16000 cents Average / Smallest step : 1.908819 Largest / Average step : 1.952232 Largest / Smallest step : 3.726457 Median interval of one step : 104.70000 cents, amount: 4 Most common interval of one step : 104.70000 cents, amount: 4 Least squares average step : 201.94462 cents, oct.: 1211.66769 cents Scale is not proper Scale has 2 repeating blocks of 3 notes Blocks have Myhill's property chromas: 285.46000 cents and 180.76000 cents, ratio: 1.579221 generators: 1 of 104.70000 cents and 2 of 494.86000 cents ET pair of linear temperament : 34&46 Scale is distributional even Scale is a mode of a 962-tone equal temperament with octave 1199.120 cents degrees: 84 397 481 565 878 962 Least number of segments generator : 483 of 602.053 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 565 of 704.265 cents and inv. generated superset size: 484 = 478 more = 8066.667% Number of contiguous 1-step segments: 0 Step pattern alph. order: ABAABA Step pattern size order : SLSSLS Scale is a Constant Structure, by a margin of 104.70000 cents Scale diversity : 1.250948 Lumma stability : 0.349256 Lumma impropriety factor : 0.301488 Rothenberg efficiency (ambiguous key): 0.544444 redundancy: 0.455556 Efficiency x scale size : 3.266667 Number of different interval sizes : 9 = 1.80000 / class Number of one step interval sizes : 2 Highest interval variety : 2 Mean interval variety : 1.80000 = 9/5 Median interval variety : 2 Lowest interval variety : 1 Smallest interval difference : 104.70000 cents Most common intervals : 599.56000 cents & inv., amount: 6 Number of recognisable fifths : 4, average 704.2600 cents Number of recognisable fourths : 4, average 494.8600 cents Formal octave complements present : 6 = 100.0000% 2/1 octave complements present : 0 = 0.0000% Limited transpositions : 3 Limited inverse transpositions : 3 Inversional symmetry on degrees : 0 3 Inversional symmetry on intervals : 1-2 4-5 -- Rational properties --
FIT/MODE
6: 0 2 1 0 2 1 N B D3 SD: 81.6828 c. M: 104.7000 c. 8: 1 2 1 1 2 1 P B ME I SD: 36.8975 c. M: 45.1900 c. 10: 1 3 1 1 3 1 N B DE I SD: 12.4205 c. M: 15.2120 c. 12: 1 4 1 1 4 1 N B DE I SD: 3.8974 c. M: 4.7733 c. 22: 2 7 2 2 7 2 N B DE I SD: 3.5198 c. M: 4.3109 c. 34: 3 11 3 3 11 3 N B DE I SD: 0.9020 c. M: 1.1047 c. 46: 4 15 4 4 15 4 N B DE I SD: 0.3500 c. M: 0.4287 c. 80: 7 26 7 7 26 7 N B DE I SD: 0.1821 c. M: 0.2230 c. 126: 11 41 11 11 41 11 N B DE I SD: 0.0122 c. M: 0.0149 c. 710: 62 231 62 62 231 62 N B DE I SD: 0.0097 c. M: 0.0119 c. 836: 73 272 73 73 272 73 N B DE I SD: 0.0064 c. M: 0.0078 c. 962: 84 313 84 84 313 84 N B DE I SD: 0.0040 c. M: 0.0049 c. 1088: 95 354 95 95 354 95 N B DE I SD: 0.0021 c. M: 0.0026 c. 1214: 106 395 106 106 395 106 N B DE I SD: 0.0006 c. M: 0.0008 c. 1340: 117 436 117 117 436 117 N B DE I SD: 0.0006 c. M: 0.0007 c.
FIT/HARMONIC
1 x x x x x 2 S SD: 0.8800 cents 2 x x x 3 x 4 S SD: 1.2336 cents 3 x 4 x 5 x 6 S SD: 60.0430 cents 4 x 5 x 6 x 8 S SD: 36.1914 cents 5 x x 7:8:9:10 SD: 33.6966 cents 6:7:8 x 9:11:12 SD: 33.6724 cents 7:8:9:10:11:13:14 SD: 27.1454 cents 8:9 x 11:12:15:16 SD: 22.1033 cents 9:10:12:13:14:17:18 SD: 17.5951 cents 10:11:13:14:15:19:20 SD: 12.7660 cents 12:13:16:17:18:23:24 SD: 7.8049 cents 15:16:20:21:23:28:30 SD: 7.1120 cents 16:17:21:23:24:30:32 SD: 6.3428 cents 18:19:24:25:27:34:36 SD: 5.6138 cents 26:28:35:37:39:49:52 SD: 5.4953 cents 27:29:36:38:41:51:54 SD: 4.8233 cents 28:30:37:40:42:53:56 SD: 4.7211 cents 30:32:40:42:45:56:60 SD: 3.9033 cents 31:33:41:44:47:58:62 SD: 3.8594 cents 32:34:43:45:48:60:64 SD: 3.3691 cents 34:36:45:48:51:64:68 SD: 1.9582 cents 48:51:64:68:72:90:96 SD: 1.3537 cents 66:70:88:93:99:124:132 SD: 1.3484 cents 78:83:104:110:117:147:156 SD: 1.1927 cents 82:87:109:116:123:154:164 SD: 0.8745 cents 94:100:125:133:141:177:188 SD: 0.6880 cents 142:151:189:201:213:267:284 SD: 0.6373 cents 145:154:193:205:218:273:290 SD: 0.3653 cents 193:205:257:273:290:363:386 SD: 0.3093 cents 227:241:302:321:341:427:454 SD: 0.2804 cents 239:254:318:338:359:450:478 SD: 0.2795 cents 287:305:382:406:431:540:574 SD: 0.2466 cents 305:324:406:431:458:574:610 SD: 0.2336 cents 432:459:575:611:649:813:864 SD: 0.1998 cents 466:495:620:659:700:877:932 SD: 0.1930 cents 498:529:663:704:748:937:995 SD: 0.1804 cents 532:565:708:752:799:1001:1063 SD: 0.1671 cents 592:629:788:837:889:1114:1183 SD: 0.1296 cents