Scala analysis: xen18-erlich-vishnu-10
2L 8s MOS for Vishnu, L=315.37, 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: 142.300 cents 142.300000 3: 457.670 cents 457.670000 4: 528.820 cents 528.820000 5: 599.970 cents 599.970000 6: 671.120 cents 671.120000 7: 742.270 cents 742.270000 8: 1057.640 cents 1057.640000 9: 1128.790 cents 1128.790000 10: 1199.940 cents 1199.940000
SHOW/INTERVAL
0: 71.1500 cents 71.1500 1: 71.1500 cents 71.1500 2: 71.1500 cents 71.1500 3: 315.3700 cents 315.3700 4: 71.1500 cents 71.1500 5: 71.1500 cents 71.1500 6: 71.1500 cents 71.1500 7: 71.1500 cents 71.1500 8: 315.3700 cents 315.3700 9: 71.1500 cents 71.1500 10: 71.1500 cents 71.1500
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 8 71.15000 cents 1: 2 315.37000 cents 2: 6 142.30000 cents 2: 4 386.52000 cents 3: 4 213.45000 cents 3: 6 457.67000 cents 4: 2 284.60000 cents 4: 8 528.82000 cents 5: 10 599.97000 cents 6: 8 671.12000 cents 6: 2 915.34000 cents 7: 6 742.27000 cents 7: 4 986.49000 cents 8: 4 813.42000 cents 8: 6 1057.64000 cents 9: 2 884.57000 cents 9: 8 1128.79000 cents Highest number of different intervals for one interval class: 2 Average number of different intervals per interval class: 1.88889 = 17/9
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 7 8 9 10 0.0 : 71.2 142.3 457.7 528.8 600.0 671.1 742.3 1057.6 1128.8 1199.9 71.2 : 71.2 386.5 457.7 528.8 600.0 671.1 986.5 1057.6 1128.8 1199.9 142.3 : 315.4 386.5 457.7 528.8 600.0 915.3 986.5 1057.6 1128.8 1199.9 457.7 : 71.2 142.3 213.5 284.6 600.0 671.1 742.3 813.4 884.6 1199.9 528.8 : 71.2 142.3 213.5 528.8 600.0 671.1 742.3 813.4 1128.8 1199.9 600.0 : 71.2 142.3 457.7 528.8 600.0 671.1 742.3 1057.6 1128.8 1199.9 671.1 : 71.2 386.5 457.7 528.8 600.0 671.1 986.5 1057.6 1128.8 1199.9 742.3 : 315.4 386.5 457.7 528.8 600.0 915.3 986.5 1057.6 1128.8 1199.9 1057.6: 71.2 142.3 213.5 284.6 600.0 671.1 742.3 813.4 884.6 1199.9 1128.8: 71.2 142.3 213.5 528.8 600.0 671.1 742.3 813.4 1128.8 1199.9 1199.9
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 71.1500 .. 315.3700 cents 244.22000 cents 71.15000 cents 2: 142.3000 .. 386.5200 cents 244.22000 cents -173.07000 cents 3: 213.4500 .. 457.6700 cents 244.22000 cents -173.07000 cents 4: 284.6000 .. 528.8200 cents 244.22000 cents -173.07000 cents 5: 599.9700 .. 599.9700 cents 1/1, 0.0000 cents 71.15000 cents 6: 671.1200 .. 915.3400 cents 244.22000 cents 71.15000 cents 7: 742.2700 .. 986.4900 cents 244.22000 cents -173.07000 cents 8: 813.4200 .. 1057.6400 cents 244.22000 cents -173.07000 cents 9: 884.5700 .. 1128.7900 cents 244.22000 cents -173.07000 cents
SHOW DATA
Number of notes : 10 -- Interval properties -- Smallest interval : 71.15000 cents, class 1 Average step (divided formal octave): 119.9940 cents Largest one step interval : 315.37000 cents Average / Smallest step : 1.686493 Largest / Average step : 2.628215 Largest / Smallest step : 4.432467 Median interval of one step : 71.15000 cents, amount: 8 Most common interval of one step : 71.15000 cents, amount: 8 Least squares average step : 121.26268 cents, oct.: 1212.62675 cents Scale is not proper Scale has 2 repeating blocks of 5 notes Blocks have Myhill's property chromas: 244.22000 cents and 173.07000 cents, ratio: 1.411105 generators: 1 of 71.15000 cents and 4 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 74 238 275 312 349 386 550 587 624 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: 317 = 307 more = 3170.000% Number of contiguous 1-step segments: 0 Step pattern alph. order: AABAAAABAA Step pattern size order : SSLSSSSLSS Scale is a Constant Structure, by a margin of 30.77000 cents Scale diversity : 1.239858 Lumma stability : 0.237179 Lumma impropriety factor : 0.525643 Rothenberg efficiency (ambiguous key): 0.513333 redundancy: 0.486667 Efficiency x scale size : 5.133333 Number of different interval sizes : 17 = 1.88889 / class Number of one step interval sizes : 2 Highest interval variety : 2 Mean interval variety : 1.88889 = 17/9 Median interval variety : 2 Lowest interval variety : 1 Smallest interval difference : 30.77000 cents Most common intervals : 599.97000 cents & inv., amount: 10 Number of recognisable fifths : 0 Number of recognisable fourths : 0 Scale contains two identical disjunct pentachords Formal octave complements present : 10 = 100.0000% 2/1 octave complements present : 0 = 0.0000% Limited transpositions : 5 Limited inverse transpositions : 5 Inversional symmetry on degrees : 0 5 Inversional symmetry on intervals : 2-3 7-8 -- Rational properties --
FIT/MODE
10: 1 0 3 0 1 1 0 3 0 1 N B D3 I SD: 33.9605 c. M: 48.8440 c. 11: 1 0 3 1 0 1 1 3 0 1 N SD: 30.8560 c. M: 54.5427 c. 12: 1 0 4 0 1 1 0 4 0 1 N B D3 I SD: 32.3836 c. M: 42.3050 c. 13: 1 0 4 0 1 1 1 3 1 1 N SD: 35.3536 c. M: 67.3046 c. 14: 1 1 3 1 1 1 1 3 1 1 N B DE I SD: 20.5909 c. M: 29.1200 c. 16: 1 1 4 1 1 1 1 4 1 1 N B DE I SD: 5.4394 c. M:-7.6925 c. 34: 2 2 9 2 2 2 2 9 2 2 N B DE I SD: 0.7994 c. M: 1.1306 c. 84: 5 5 22 5 5 5 5 22 5 5 N B DE I SD: 0.3889 c. M:-0.5500 c. 118: 7 7 31 7 7 7 7 31 7 7 N B DE I SD: 0.0465 c. M:-0.0658 c. 388: 23 23 102 23 23 23 23 102 23 23 N B DE I SD: 0.0276 c. M: 0.0391 c. 506: 30 30 133 30 30 30 30 133 30 30 N B DE I SD: 0.0103 c. M:-0.0146 c. 624: 37 37 164 37 37 37 37 164 37 37 N B DE I SD: 0.0004 c. M: 0.0006 c.
FIT/HARMONIC
1 x x x x x x x x x 2 S SD: 0.0600 cents 2 x x x x x 3 x x x 4 S SD: 15.4175 cents 3 x x x 4 x x 5 x x 6 S SD: 48.4611 cents 4 x x 5 x x 6 x 7 x 8 S SD: 29.5068 cents 5 x x x x 7 x 8:9 x 10 SD: 20.9293 cents 6 x 7 x 8 x 9 x 11 x 12 SD: 26.4457 cents 7 x 8:9 x 10 x 11:13 x 14 SD: 17.1036 cents 8 x 9:10:11 x 12 x 15 x 16 S SD: 17.7033 cents 9 x 10 x 12 x 13:14 x 17:18 SD: 11.8186 cents 10 x 11:13 x 14:15 x 18:19:20 SD: 8.6849 cents 11 x 12:14:15 x 16:17:20:21:22 SD: 6.8249 cents 12 x 13 x 16:17:18 x 22:23:24 SD: 6.3817 cents 13 x 14:17:18 x 19:20:24:25:26 SD: 5.1139 cents 14 x 15:18:19:20:21:22:26:27:28 SD: 7.1784 cents 15 x 16 x 20:21:22:23:28:29:30 SD: 6.7760 cents 16:17 x 21:22:23:24:25:29:31:32 SD: 8.2745 cents 17:18 x 22:23:24:25:26:31:33:34 SD: 4.5630 cents 22:23:24:29:30:31:32:34:41:42:44 SD: 4.1907 cents 23:24:25:30:31:33:34:35:42:44:46 SD: 3.6306 cents 24:25:26:31:33:34:35:37:44:46:48 SD: 3.4486 cents 26:27:28:34:35:37:38:40:48:50:52 SD: 2.8853 cents 34:35:37:44:46:48:50:52:63:65:68 SD: 2.8818 cents 36:38:39:47:49:51:53:55:66:69:72 SD: 2.6775 cents 43:45:47:56:58:61:63:66:79:83:86 SD: 2.3522 cents 44:46:48:57:60:62:65:68:81:84:88 SD: 2.3151 cents 45:47:49:59:61:64:66:69:83:86:90 SD: 2.0065 cents 46:48:50:60:62:65:68:71:85:88:92 SD: 1.8433 cents 50:52:54:65:68:71:74:77:92:96:100 SD: 1.6026 cents 67:70:73:87:91:95:99:103:123:129:134 SD: 1.4285 cents 69:72:75:90:94:98:102:106:127:132:138 SD: 1.3428 cents 70:73:76:91:95:99:103:107:129:134:140 SD: 1.0032 cents 93:97:101:121:126:132:137:143:171:179:186 SD: 0.9850 cents 95:99:103:124:129:134:140:146:175:182:190 SD: 0.7238 cents 116:121:126:151:157:164:171:178:214:223:232 SD: 0.6693 cents 138:144:150:180:187:195:203:212:254:265:276 SD: 0.6175 cents 140:146:152:182:190:198:206:215:258:269:280 SD: 0.4927 cents 162:169:176:211:220:229:239:249:298:311:324 SD: 0.4644 cents 165:172:179:215:224:233:243:253:304:317:330 SD: 0.4241 cents 188:196:204:245:255:266:277:289:346:361:376 SD: 0.3467 cents 222:231:241:289:301:314:327:341:409:426:444 SD: 0.3340 cents 234:244:254:305:318:331:345:359:431:449:468 SD: 0.3317 cents 235:245:255:306:319:332:346:361:433:451:470 SD: 0.2882 cents 258:269:280:336:350:365:380:396:475:495:516 SD: 0.2297 cents 336:350:365:438:456:475:495:516:619:645:672 SD: 0.1927 cents 386:402:419:503:524:546:569:593:711:741:772 SD: 0.1774 cents 406:423:441:529:551:574:598:623:748:779:812 SD: 0.1769 cents 454:473:493:591:616:642:669:697:836:871:908 SD: 0.1682 cents 456:475:495:594:619:645:672:700:840:875:912 SD: 0.0915 cents