Scala analysis: xen18-erlich-vishnu-08
2L 6s MOS for Vishnu, L=386.52, 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: 457.670 cents 457.670000 3: 528.820 cents 528.820000 4: 599.970 cents 599.970000 5: 671.120 cents 671.120000 6: 1057.640 cents 1057.640000 7: 1128.790 cents 1128.790000 8: 1199.940 cents 1199.940000
SHOW/INTERVAL
0: 71.1500 cents 71.1500 1: 71.1500 cents 71.1500 2: 386.5200 cents 386.5200 3: 71.1500 cents 71.1500 4: 71.1500 cents 71.1500 5: 71.1500 cents 71.1500 6: 386.5200 cents 386.5200 7: 71.1500 cents 71.1500 8: 71.1500 cents 71.1500
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 6 71.15000 cents 1: 2 386.52000 cents 2: 4 142.30000 cents 2: 4 457.67000 cents 3: 2 213.45000 cents 3: 6 528.82000 cents 4: 8 599.97000 cents 5: 6 671.12000 cents 5: 2 986.49000 cents 6: 4 742.27000 cents 6: 4 1057.64000 cents 7: 2 813.42000 cents 7: 6 1128.79000 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 : 71.2 457.7 528.8 600.0 671.1 1057.6 1128.8 1199.9 71.2 : 386.5 457.7 528.8 600.0 986.5 1057.6 1128.8 1199.9 457.7 : 71.2 142.3 213.5 600.0 671.1 742.3 813.4 1199.9 528.8 : 71.2 142.3 528.8 600.0 671.1 742.3 1128.8 1199.9 600.0 : 71.2 457.7 528.8 600.0 671.1 1057.6 1128.8 1199.9 671.1 : 386.5 457.7 528.8 600.0 986.5 1057.6 1128.8 1199.9 1057.6: 71.2 142.3 213.5 600.0 671.1 742.3 813.4 1199.9 1128.8: 71.2 142.3 528.8 600.0 671.1 742.3 1128.8 1199.9 1199.9
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 71.1500 .. 386.5200 cents 315.37000 cents 71.15000 cents 2: 142.3000 .. 457.6700 cents 315.37000 cents -244.22000 cents 3: 213.4500 .. 528.8200 cents 315.37000 cents -244.22000 cents 4: 599.9700 .. 599.9700 cents 1/1, 0.0000 cents 71.15000 cents 5: 671.1200 .. 986.4900 cents 315.37000 cents 71.15000 cents 6: 742.2700 .. 1057.6400 cents 315.37000 cents -244.22000 cents 7: 813.4200 .. 1128.7900 cents 315.37000 cents -244.22000 cents
SHOW DATA
Number of notes : 8 -- Interval properties -- Smallest interval : 71.15000 cents, class 1 Average step (divided formal octave): 149.9925 cents Largest one step interval : 386.52000 cents Average / Smallest step : 2.108117 Largest / Average step : 2.576929 Largest / Smallest step : 5.432467 Median interval of one step : 71.15000 cents, amount: 6 Most common interval of one step : 71.15000 cents, amount: 6 Least squares average step : 157.72216 cents, oct.: 1261.77725 cents Scale is not proper Scale has 2 repeating blocks of 4 notes Blocks have Myhill's property chromas: 315.37000 cents and 244.22000 cents, ratio: 1.291336 generators: 1 of 71.15000 cents and 3 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: 37 238 275 312 349 550 587 624 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: 316 = 308 more = 3950.000% Number of contiguous 1-step segments: 0 Step pattern alph. order: ABAAABAA Step pattern size order : SLSSSLSS Scale is a Constant Structure, by a margin of 71.15000 cents Scale diversity : 1.192358 Lumma stability : 0.237179 Lumma impropriety factor : 0.525643 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 : 71.15000 cents Most common intervals : 599.97000 cents & inv., amount: 8 Number of recognisable fifths : 0 Number of recognisable fourths : 0 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 : 3 7 Inversional symmetry on intervals : 1-2 3-4 5-6 7-8 -- Rational properties --
FIT/MODE
8: 0 3 0 1 0 3 0 1 N B D3 SD: 53.2392 c. M: 78.8425 c. 11: 0 4 1 0 1 3 1 1 N SD: 45.0544 c. M: 75.8709 c. 12: 0 4 1 1 0 4 1 1 N B SD: 48.0169 c. M: 71.1500 c. 13: 1 4 1 0 1 4 1 1 N SD: 27.5665 c. M: 46.1515 c. 14: 1 4 1 1 1 4 1 1 N B DE SD: 17.8323 c. M: 29.1200 c. 16: 1 5 1 1 1 5 1 1 N B DE SD: 4.7107 c. M: 7.6925 c. 34: 2 11 2 2 2 11 2 2 N B DE SD: 0.6923 c. M:-1.1306 c. 84: 5 27 5 5 5 27 5 5 N B DE SD: 0.3368 c. M: 0.5500 c. 118: 7 38 7 7 7 38 7 7 N B DE SD: 0.0403 c. M: 0.0658 c. 388: 23 125 23 23 23 125 23 23 N B DE SD: 0.0239 c. M:-0.0391 c. 506: 30 163 30 30 30 163 30 30 N B DE SD: 0.0090 c. M:-0.0146 c. 624: 37 201 37 37 37 201 37 37 N B DE SD: 0.0004 c. M: 0.0006 c.
FIT/HARMONIC
1 x x x x x x x 2 S SD: 0.0600 cents 2 x x x x 3 x x 4 S SD: 15.4175 cents 3 x x 4 x x x x 6 S SD: 15.3875 cents 4 x 5 x x 6:7 x 8 S SD: 29.5068 cents 5 x x x 7 x 9 x 10 SD: 14.5613 cents 6 x x 8 x 9:11 x 12 SD: 11.0861 cents 7:8:9 x 10 x 13 x 14 SD: 32.6328 cents 8:9:10:11 x 12:15 x 16 S SD: 26.4113 cents 9:10 x 12 x 13 x 17:18 SD: 24.7262 cents 10:11:13 x 14:15:18:19:20 SD: 15.6421 cents 11:12:14:15 x 16:20:21:22 S SD: 13.6281 cents 12:13 x 16:17:18:22:23:24 SD: 11.5419 cents 13:14:17:18 x 19:24:25:26 SD: 9.8263 cents 14:15:18:19:20:21:26:27:28 SD: 8.2593 cents 15:16 x 20:21:22:28:29:30 SD: 8.6257 cents 16:17:21:22:23:24:29:31:32 SD: 8.5002 cents 17:18:22:23:24:25:31:33:34 SD: 5.0646 cents 19:20:25:26:27:28:35:36:38 S SD: 4.6588 cents 23:24:30:31:33:34:42:44:46 SD: 4.1015 cents 25:26:33:34:35:37:46:48:50 SD: 3.7863 cents 26:27:34:35:37:38:48:50:52 SD: 3.1226 cents 39:41:51:53:55:57:72:75:78 SD: 2.8965 cents 40:42:52:54:57:59:74:77:80 SD: 2.8833 cents 42:44:55:57:59:62:77:81:84 SD: 2.6601 cents 43:45:56:58:61:63:79:83:86 SD: 2.5507 cents 44:46:57:60:62:65:81:84:88 SD: 2.2955 cents 46:48:60:62:65:68:85:88:92 SD: 1.9836 cents 50:52:65:68:71:74:92:96:100 SD: 1.5165 cents 53:55:69:72:75:78:98:102:106 SD: 1.3818 cents 70:73:91:95:99:103:129:134:140 SD: 0.8113 cents 118:123:154:160:167:174:217:226:236 SD: 0.7924 cents 120:125:156:163:170:177:221:230:240 SD: 0.7135 cents 123:128:160:167:174:181:227:236:246 SD: 0.6501 cents 140:146:182:190:198:206:258:269:280 SD: 0.6135 cents 145:151:189:197:205:214:267:278:290 SD: 0.5206 cents 162:169:211:220:229:239:298:311:324 SD: 0.5073 cents 165:172:215:224:233:243:304:317:330 SD: 0.4173 cents 171:178:223:232:242:252:315:328:342 SD: 0.3986 cents 188:196:245:255:266:277:346:361:376 SD: 0.3227 cents 215:224:280:292:304:317:396:413:430 SD: 0.2682 cents 285:297:371:387:403:420:525:547:570 SD: 0.1806 cents 386:402:503:524:546:569:711:741:772 SD: 0.1755 cents 406:423:529:551:574:598:748:779:812 SD: 0.1508 cents 456:475:594:619:645:672:840:875:912 SD: 0.1049 cents