Scala analysis: xen18-erlich-vishnu-06
2L 4s MOS for Vishnu, L=457.67, s=71.15
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 71.150 cents 71.150000 2: 528.820 cents 528.820000 3: 599.970 cents 599.970000 4: 671.120 cents 671.120000 5: 1128.790 cents 1128.790000 6: 1199.940 cents 1199.940000
SHOW/INTERVAL
0: 71.1500 cents 71.1500 1: 71.1500 cents 71.1500 2: 457.6700 cents 457.6700 3: 71.1500 cents 71.1500 4: 71.1500 cents 71.1500 5: 457.6700 cents 457.6700 6: 71.1500 cents 71.1500
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 4 71.15000 cents 1: 2 457.67000 cents 2: 2 142.30000 cents 2: 4 528.82000 cents 3: 6 599.97000 cents 4: 4 671.12000 cents 4: 2 1057.64000 cents 5: 2 742.27000 cents 5: 4 1128.79000 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 : 71.2 528.8 600.0 671.1 1128.8 1199.9 71.2 : 457.7 528.8 600.0 1057.6 1128.8 1199.9 528.8 : 71.2 142.3 600.0 671.1 742.3 1199.9 600.0 : 71.2 528.8 600.0 671.1 1128.8 1199.9 671.1 : 457.7 528.8 600.0 1057.6 1128.8 1199.9 1128.8: 71.2 142.3 600.0 671.1 742.3 1199.9 1199.9
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 71.1500 .. 457.6700 cents 386.52000 cents 71.15000 cents 2: 142.3000 .. 528.8200 cents 386.52000 cents -315.37000 cents 3: 599.9700 .. 599.9700 cents 1/1, 0.0000 cents 71.15000 cents 4: 671.1200 .. 1057.6400 cents 386.52000 cents 71.15000 cents 5: 742.2700 .. 1128.7900 cents 386.52000 cents -315.37000 cents
SHOW DATA
Number of notes : 6 -- Interval properties -- Smallest interval : 71.15000 cents, class 1 Average step (divided formal octave): 199.9900 cents Largest one step interval : 457.67000 cents Average / Smallest step : 2.810822 Largest / Average step : 2.288464 Largest / Smallest step : 6.432467 Median interval of one step : 71.15000 cents, amount: 4 Most common interval of one step : 71.15000 cents, amount: 4 Least squares average step : 202.82165 cents, oct.: 1216.92989 cents Scale is not proper Scale has 2 repeating blocks of 3 notes Blocks have Myhill's property chromas: 386.52000 cents and 315.37000 cents, ratio: 1.225608 generators: 1 of 71.15000 cents and 2 of 528.82000 cents ET pair of linear temperament : 34&118 Scale is distributional even Scale is a mode of a 624-tone equal temperament with octave 1199.940 cents degrees: 37 275 312 349 587 624 Least number of segments generator : 313 of 601.893 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 349 of 671.120 cents and inv. generated superset size: 315 = 309 more = 5250.000% 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 71.15000 cents Scale diversity : 1.001326 Lumma stability : 0.237179 Lumma impropriety factor : 0.525643 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 : 71.15000 cents Most common intervals : 599.97000 cents & inv., amount: 6 Number of recognisable fifths : 0 Number of recognisable fourths : 0 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 3 0 0 3 0 N B DE I SD: 58.0937 c. M: 71.1500 c. 7: 0 3 0 1 2 1 N SD: 61.7611 c. M: 100.2700 c. 8: 0 3 1 0 3 1 N B D3 SD: 61.3147 c. M: 78.8425 c. 9: 0 4 0 1 3 1 N SD: 47.2802 c. M: 71.1500 c. 10: 0 4 1 0 4 1 N B D3 SD: 49.8266 c. M: 71.1500 c. 11: 0 5 0 1 4 1 N SD: 40.8818 c. M: 71.1500 c. 12: 1 4 1 1 4 1 N B DE I SD: 23.5518 c. M: 28.8450 c. 14: 1 5 1 1 5 1 N B DE I SD: 11.8882 c. M: 14.5600 c. 16: 1 6 1 1 6 1 N B DE I SD: 3.1404 c. M: 3.8463 c. 34: 2 13 2 2 13 2 N B DE I SD: 0.4616 c. M: 0.5653 c. 84: 5 32 5 5 32 5 N B DE I SD: 0.2245 c. M: 0.2750 c. 118: 7 45 7 7 45 7 N B DE I SD: 0.0268 c. M: 0.0329 c. 388: 23 148 23 23 148 23 N B DE I SD: 0.0160 c. M: 0.0195 c. 506: 30 193 30 30 193 30 N B DE I SD: 0.0060 c. M: 0.0073 c. 624: 37 238 37 37 238 37 N B DE I SD: 0.0002 c. M: 0.0003 c.
FIT/HARMONIC
1 x x x x x 2 S SD: 0.0600 cents 2 x x x 3 x 4 S SD: 15.4175 cents 3 x 4 x x x 6 S SD: 15.3875 cents 4 x 5 x 6 x 8 S SD: 48.6014 cents 5 x x 7 x x 10 SD: 8.7290 cents 6:7:8 x 9 x 12 S SD: 50.1277 cents 7:8 x 10 x 13:14 SD: 42.7007 cents 8:9:11 x 12:15:16 SD: 28.7918 cents 9:10:12 x 13:17:18 SD: 24.7262 cents 10:11 x 14:15:19:20 SD: 20.3702 cents 11:12:15 x 16:21:22 SD: 16.7030 cents 12:13:16:17:18:23:24 SD: 13.3947 cents 13:14:18 x 19:25:26 SD: 13.6693 cents 14:15:19:20:21:27:28 SD: 10.0801 cents 15:16:20:21:22:29:30 SD: 9.3103 cents 17:18:23:24:25:33:34 SD: 5.7865 cents 19:20:26:27:28:36:38 SD: 5.4893 cents 22:23:30:31:32:42:44 SD: 4.5012 cents 25:26:34:35:37:48:50 SD: 3.2730 cents 42:44:57:59:62:81:84 SD: 2.8872 cents 44:46:60:62:65:84:88 SD: 2.6104 cents 45:47:61:64:66:86:90 SD: 2.5779 cents 46:48:62:65:68:88:92 SD: 2.4593 cents 48:50:65:68:71:92:96 SD: 1.4418 cents 70:73:95:99:103:134:140 SD: 0.9083 cents 101:105:137:143:149:194:202 SD: 0.8519 cents 118:123:160:167:174:226:236 SD: 0.7561 cents 120:125:163:170:177:230:240 SD: 0.7538 cents 121:126:164:171:178:232:242 SD: 0.7439 cents 123:128:167:174:181:236:246 SD: 0.5569 cents 162:169:220:229:239:311:324 SD: 0.5375 cents 171:178:232:242:252:328:342 SD: 0.4156 cents 188:196:255:266:277:361:376 SD: 0.3120 cents 213:222:289:301:314:409:426 SD: 0.3026 cents 260:271:353:368:383:499:520 SD: 0.2938 cents 283:295:384:400:417:543:566 SD: 0.2362 cents 285:297:387:403:420:547:570 SD: 0.1519 cents 336:350:456:475:495:645:672 SD: 0.1488 cents 456:475:619:645:672:875:912 SD: 0.1397 cents 473:493:642:669:697:908:946 SD: 0.1076 cents 596:621:809:843:878:1144:1192 SD: 0.0925 cents