Scala analysis: xen18-erlich-srutal-08
2L 6s MOS for Srutal, L=285.46, 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: 209.400 cents 209.400000 3: 494.860 cents 494.860000 4: 599.560 cents 599.560000 5: 704.260 cents 704.260000 6: 808.960 cents 808.960000 7: 1094.420 cents 1094.420000 8: 1199.120 cents 1199.120000
SHOW/INTERVAL
0: 104.7000 cents 104.7000 1: 104.7000 cents 104.7000 2: 104.7000 cents 104.7000 3: 285.4600 cents 285.4600 4: 104.7000 cents 104.7000 5: 104.7000 cents 104.7000 6: 104.7000 cents 104.7000 7: 285.4600 cents 285.4600 8: 104.7000 cents 104.7000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 6 104.70000 cents 1: 2 285.46000 cents 2: 4 209.40000 cents 2: 4 390.16000 cents 3: 2 314.10000 cents 3: 6 494.86000 cents 4: 8 599.56000 cents 5: 6 704.26000 cents 5: 2 885.02000 cents 6: 4 808.96000 cents 6: 4 989.72000 cents 7: 2 913.66000 cents 7: 6 1094.42000 cents Highest number of different intervals for one interval class: 2 Average number of different intervals per interval class: 1.85714 = 13/7
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 7 8 0.0 : 104.7 209.4 494.9 599.6 704.3 809.0 1094.4 1199.1 104.7 : 104.7 390.2 494.9 599.6 704.3 989.7 1094.4 1199.1 209.4 : 285.5 390.2 494.9 599.6 885.0 989.7 1094.4 1199.1 494.9 : 104.7 209.4 314.1 599.6 704.3 809.0 913.7 1199.1 599.6 : 104.7 209.4 494.9 599.6 704.3 809.0 1094.4 1199.1 704.3 : 104.7 390.2 494.9 599.6 704.3 989.7 1094.4 1199.1 809.0 : 285.5 390.2 494.9 599.6 885.0 989.7 1094.4 1199.1 1094.4: 104.7 209.4 314.1 599.6 704.3 809.0 913.7 1199.1 1199.1
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 104.7000 .. 285.4600 cents 180.76000 cents 104.70000 cents 2: 209.4000 .. 390.1600 cents 180.76000 cents -76.06000 cents 3: 314.1000 .. 494.8600 cents 180.76000 cents -76.06000 cents 4: 599.5600 .. 599.5600 cents 1/1, 0.0000 cents 104.70000 cents 5: 704.2600 .. 885.0200 cents 180.76000 cents 104.70000 cents 6: 808.9600 .. 989.7200 cents 180.76000 cents -76.06000 cents 7: 913.6600 .. 1094.4200 cents 180.76000 cents -76.06000 cents
SHOW DATA
Number of notes : 8 -- Interval properties -- Smallest interval : 104.70000 cents, class 1 Average step (divided formal octave): 149.8900 cents Largest one step interval : 285.46000 cents Average / Smallest step : 1.431614 Largest / Average step : 1.904463 Largest / Smallest step : 2.726457 Median interval of one step : 104.70000 cents, amount: 6 Most common interval of one step : 104.70000 cents, amount: 6 Least squares average step : 147.23176 cents, oct.: 1177.85412 cents Scale is not proper Scale has 2 repeating blocks of 4 notes Blocks have Myhill's property chromas: 180.76000 cents and 76.06000 cents, ratio: 2.376545 generators: 1 of 104.70000 cents and 3 of 494.86000 cents ET pair of linear temperament : 34&46 Scale is distributional even Scale is a mode of a 1088-tone equal temperament with octave 1199.120 cents degrees: 95 190 449 544 639 734 993 1088 Least number of segments generator : 545 of 600.662 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 639 of 704.263 cents and inv. generated superset size: 548 = 540 more = 6850.000% Number of contiguous 1-step segments: 0 Step pattern alph. order: AABAAABA Step pattern size order : SSLSSSLS Scale is a Constant Structure, by a margin of 28.64000 cents Scale diversity : 1.226198 Lumma stability : 0.349256 Lumma impropriety factor : 0.253719 Rothenberg efficiency (ambiguous key): 0.525000 redundancy: 0.475000 Efficiency x scale size : 4.200000 Number of different interval sizes : 13 = 1.85714 / class Number of one step interval sizes : 2 Highest interval variety : 2 Mean interval variety : 1.85714 = 13/7 Median interval variety : 2 Lowest interval variety : 1 Smallest interval difference : 28.64000 cents Most common intervals : 599.56000 cents & inv., amount: 8 Number of recognisable fifths : 6, average 704.2600 cents Number of recognisable fourths : 6, average 494.8600 cents Scale contains two identical disjunct tetrachords Formal octave complements present : 6 = 75.0000% 2/1 octave complements present : 0 = 0.0000% Limited transpositions : 4 Limited inverse transpositions : 1 5 Inversional symmetry on intervals : 0-1 2-3 4-5 6-7 -- Rational properties --
FIT/MODE
8: 0 1 2 1 0 1 2 1 N B D3 SD: 64.3150 c. M: 104.7000 c. 9: 0 1 2 1 1 1 2 1 N D3 SD: 63.8464 c. M: 104.7000 c. 10: 1 1 2 1 1 1 2 1 P B ME SD: 18.6308 c. M:-30.4240 c. Supersharp-8 12: 1 1 3 1 1 1 3 1 N B DE SD: 5.8461 c. M: 9.5467 c. Tcherepnin Octatonic mode 2 22: 2 2 5 2 2 2 5 2 N B DE SD: 5.2798 c. M:-8.6218 c. 34: 3 3 8 3 3 3 8 3 N B DE SD: 1.3530 c. M:-2.2094 c. 46: 4 4 11 4 4 4 11 4 N B DE SD: 0.5250 c. M: 0.8574 c. 80: 7 7 19 7 7 7 19 7 N B DE SD: 0.2731 c. M:-0.4460 c. 126: 11 11 30 11 11 11 30 11 N B DE SD: 0.0183 c. M: 0.0298 c. 710: 62 62 169 62 62 62 169 62 N B DE SD: 0.0146 c. M:-0.0238 c. 836: 73 73 199 73 73 73 199 73 N B DE SD: 0.0096 c. M:-0.0157 c. 962: 84 84 229 84 84 84 229 84 N B DE SD: 0.0060 c. M:-0.0097 c. 1088: 95 95 259 95 95 95 259 95 N B DE SD: 0.0032 c. M:-0.0051 c. 1214: 106 106 289 106 106 106 289 106 N B DE SD: 0.0009 c. M:-0.0015 c. 1340: 117 117 319 117 117 117 319 117 N B DE SD: 0.0009 c. M: 0.0014 c.
FIT/HARMONIC
1 x x x x x x x 2 S SD: 0.8800 cents 2 x x x x 3 x x 4 S SD: 1.2336 cents 3 x x 4 x x 5 x 6 S SD: 25.1570 cents 4 x x 5 x 6 x x 8 S SD: 36.1914 cents 5 x 6 x 7 x 8:9:10 S SD: 26.4597 cents 6 x 7:8 x 9:10:11:12 S SD: 17.5073 cents 7 x 8:9:10 x 11:13:14 SD: 12.4567 cents 8 x 9 x 11:12:13:15:16 SD: 9.7152 cents 9 x 10:12:13 x 14:17:18 SD: 10.6677 cents 10 x 11:13:14:15:16:19:20 SD: 9.2843 cents 11:12 x 15:16:17:18:21:22 S SD: 15.1621 cents 12:13:14:16:17:18:19:23:24 SD: 9.4170 cents 14:15:16:19:20:21:22:26:28 SD: 7.2671 cents 15:16:17:20:21:23:24:28:30 SD: 5.4434 cents 22:23:25:29:31:33:35:41:44 SD: 4.8923 cents 24:26:27:32:34:36:38:45:48 SD: 4.7154 cents 29:31:33:39:41:44:46:55:58 SD: 4.4076 cents 30:32:34:40:42:45:48:56:60 SD: 3.1223 cents 32:34:36:43:45:48:51:60:64 SD: 2.6309 cents 45:48:51:60:64:68:72:85:90 SD: 2.4803 cents 46:49:52:61:65:69:73:87:92 SD: 1.9504 cents 48:51:54:64:68:72:77:90:96 SD: 1.6830 cents 60:64:68:80:85:90:96:113:120 SD: 1.5576 cents 70:74:79:93:99:105:112:132:140 SD: 1.3904 cents 78:83:88:104:110:117:124:147:156 SD: 1.2027 cents 79:84:89:105:112:119:126:149:158 SD: 1.1316 cents 84:89:95:112:119:126:134:158:168 SD: 0.9934 cents 94:100:106:125:133:141:150:177:188 SD: 0.5451 cents 178:189:201:237:252:267:284:335:356 SD: 0.4644 cents 179:190:202:238:253:269:286:337:358 SD: 0.4501 cents 193:205:218:257:273:290:308:363:386 SD: 0.2976 cents 227:241:256:302:321:341:362:427:454 SD: 0.2910 cents 287:305:324:382:406:431:458:540:574 SD: 0.1981 cents 420:446:474:559:594:631:670:790:840 SD: 0.1935 cents 450:478:508:599:636:676:718:847:900 SD: 0.1710 cents 498:529:562:663:704:748:795:937:995 SD: 0.1694 cents 514:546:580:684:727:772:820:967:1027 SD: 0.1495 cents 544:578:614:724:769:817:868:1024:1087 SD: 0.1322 cents