Scala analysis: xen18-erlich-vishnu-12
2L 10s MOS for Vishnu, L=244.22, 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: 386.520 cents 386.520000 4: 457.670 cents 457.670000 5: 528.820 cents 528.820000 6: 599.970 cents 599.970000 7: 671.120 cents 671.120000 8: 742.270 cents 742.270000 9: 986.490 cents 986.490000 10: 1057.640 cents 1057.640000 11: 1128.790 cents 1128.790000 12: 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: 244.2200 cents 244.2200 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: 71.1500 cents 71.1500 9: 244.2200 cents 244.2200 10: 71.1500 cents 71.1500 11: 71.1500 cents 71.1500 12: 71.1500 cents 71.1500
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 10 71.15000 cents 1: 2 244.22000 cents 2: 8 142.30000 cents 2: 4 315.37000 cents 3: 6 213.45000 cents 3: 6 386.52000 cents 4: 4 284.60000 cents 4: 8 457.67000 cents 5: 2 355.75000 cents 5: 10 528.82000 cents 6: 12 599.97000 cents 7: 10 671.12000 cents 7: 2 844.19000 cents 8: 8 742.27000 cents 8: 4 915.34000 cents 9: 6 813.42000 cents 9: 6 986.49000 cents 10: 4 884.57000 cents 10: 8 1057.64000 cents 11: 2 955.72000 cents 11: 10 1128.79000 cents Highest number of different intervals for one interval class: 2 Average number of different intervals per interval class: 1.90909 = 21/11
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 7 8 9 10 11 12 0.0 : 71.2 142.3 386.5 457.7 528.8 600.0 671.1 742.3 986.5 1057.6 1128.8 1199.9 71.2 : 71.2 315.4 386.5 457.7 528.8 600.0 671.1 915.3 986.5 1057.6 1128.8 1199.9 142.3 : 244.2 315.4 386.5 457.7 528.8 600.0 844.2 915.3 986.5 1057.6 1128.8 1199.9 386.5 : 71.2 142.3 213.5 284.6 355.8 600.0 671.1 742.3 813.4 884.6 955.7 1199.9 457.7 : 71.2 142.3 213.5 284.6 528.8 600.0 671.1 742.3 813.4 884.6 1128.8 1199.9 528.8 : 71.2 142.3 213.5 457.7 528.8 600.0 671.1 742.3 813.4 1057.6 1128.8 1199.9 600.0 : 71.2 142.3 386.5 457.7 528.8 600.0 671.1 742.3 986.5 1057.6 1128.8 1199.9 671.1 : 71.2 315.4 386.5 457.7 528.8 600.0 671.1 915.3 986.5 1057.6 1128.8 1199.9 742.3 : 244.2 315.4 386.5 457.7 528.8 600.0 844.2 915.3 986.5 1057.6 1128.8 1199.9 986.5 : 71.2 142.3 213.5 284.6 355.7 600.0 671.1 742.3 813.4 884.6 955.7 1199.9 1057.6: 71.2 142.3 213.5 284.6 528.8 600.0 671.1 742.3 813.4 884.6 1128.8 1199.9 1128.8: 71.2 142.3 213.5 457.7 528.8 600.0 671.1 742.3 813.4 1057.6 1128.8 1199.9 1199.9
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 71.1500 .. 244.2200 cents 173.07000 cents 71.15000 cents 2: 142.3000 .. 315.3700 cents 173.07000 cents -101.92000 cents 3: 213.4500 .. 386.5200 cents 173.07000 cents -101.92000 cents 4: 284.6000 .. 457.6700 cents 173.07000 cents -101.92000 cents 5: 355.7500 .. 528.8200 cents 173.07000 cents -101.92000 cents 6: 599.9700 .. 599.9700 cents 1/1, 0.0000 cents 71.15000 cents 7: 671.1200 .. 844.1900 cents 173.07000 cents 71.15000 cents 8: 742.2700 .. 915.3400 cents 173.07000 cents -101.92000 cents 9: 813.4200 .. 986.4900 cents 173.07000 cents -101.92000 cents 10: 884.5700 .. 1057.6400 cents 173.07000 cents -101.92000 cents 11: 955.7200 .. 1128.7900 cents 173.07000 cents -101.92000 cents
SHOW DATA
Number of notes : 12 -- Interval properties -- Smallest interval : 71.15000 cents, class 1 Average step (divided formal octave): 99.9950 cents Largest one step interval : 244.22000 cents Average / Smallest step : 1.405411 Largest / Average step : 2.442322 Largest / Smallest step : 3.432467 Median interval of one step : 71.15000 cents, amount: 10 Most common interval of one step : 71.15000 cents, amount: 10 Least squares average step : 102.30260 cents, oct.: 1227.63120 cents Scale is not proper Scale has 2 repeating blocks of 6 notes Blocks have Myhill's property chromas: 173.07000 cents and 101.92000 cents, ratio: 1.698097 generators: 1 of 71.15000 cents and 5 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 74 201 238 275 312 349 386 513 550 587 624 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: 318 = 306 more = 2650.000% Number of contiguous 1-step segments: 0 Step pattern alph. order: AABAAAAABAAA Step pattern size order : SSLSSSSSLSSS Scale is a Constant Structure, by a margin of 30.77000 cents Scale diversity : 1.200299 Lumma stability : 0.237179 Lumma impropriety factor : 0.525643 Rothenberg efficiency (ambiguous key): 0.505556 redundancy: 0.494444 Efficiency x scale size : 6.066667 Number of different interval sizes : 21 = 1.90909 / class Number of one step interval sizes : 2 Highest interval variety : 2 Mean interval variety : 1.90909 = 21/11 Median interval variety : 2 Lowest interval variety : 1 Smallest interval difference : 30.77000 cents Most common intervals : 599.97000 cents & inv., amount: 12 Number of recognisable fifths : 0 Number of recognisable fourths : 0 Scale contains two identical disjunct hexachords Formal octave complements present : 10 = 83.3333% 2/1 octave complements present : 0 = 0.0000% Limited transpositions : 6 Limited inverse transpositions : 5 11 Inversional symmetry on intervals : 2-3 5-6 8-9 11-12 -- Rational properties --
FIT/MODE
12: 0 1 2 1 1 0 1 1 2 1 1 1 N T3 SD: 62.5833 c. M: 99.9950 c. 13: 0 1 3 1 0 1 1 1 2 1 1 1 N SD: 42.2693 c. M: 71.1500 c. 14: 0 1 3 1 1 1 0 1 3 1 1 1 N B SD: 43.2679 c. M: 71.1500 c. 15: 1 1 3 1 1 0 1 1 3 1 1 1 N SD: 22.7373 c. M: 39.9980 c. 16: 1 1 3 1 1 1 1 1 3 1 1 1 N B DE SD: 6.8445 c. M: 11.5388 c. 34: 2 2 7 2 2 2 2 2 7 2 2 2 N B DE SD: 1.0059 c. M:-1.6959 c. 84: 5 5 17 5 5 5 5 5 17 5 5 5 N B DE SD: 0.4894 c. M: 0.8250 c. 118: 7 7 24 7 7 7 7 7 24 7 7 7 N B DE SD: 0.0585 c. M: 0.0986 c. 388: 23 23 79 23 23 23 23 23 79 23 23 23 N B DE SD: 0.0348 c. M:-0.0586 c. 506: 30 30 103 30 30 30 30 30 103 30 30 30 N B DE SD: 0.0130 c. M:-0.0219 c. 624: 37 37 127 37 37 37 37 37 127 37 37 37 N B DE SD: 0.0005 c. M: 0.0009 c.
FIT/HARMONIC
1 x x x x x x x x x x x 2 S SD: 0.0600 cents 2 x x x x x x 3 x x x x 4 S SD: 15.4175 cents 3 x x x x 4 x x x 5 x x 6 S SD: 35.5558 cents 4 x x 5 x x x 6 x 7 x x 8 S SD: 8.8842 cents 5 x x 6 x x 7 x 8:9 x x 10 S SD: 21.3508 cents 6 x x x x 8 x 9 x x 11 x 12 SD: 11.0861 cents 7 x 8 x 9 x 10 x 11:12:13 x 14 S SD: 16.5237 cents 8 x 9:10 x 11 x 12 x 14:15 x 16 S SD: 11.5201 cents 9 x 10:11 x 12 x 13:14:16 x 17:18 S SD: 10.1937 cents 10 x 11 x 13 x 14:15 x 18 x 19:20 SD: 7.9025 cents 11 x 12:14 x 15 x 16:17:19:20:21:22 SD: 6.9850 cents 12 x 13:15 x 16:17:18 x 21:22:23:24 SD: 5.3376 cents 13 x 14:16:17:18 x 19:20:23:24:25:26 SD: 4.9060 cents 14 x 15 x 18:19:20:21:22:25:26:27:28 SD: 6.6885 cents 15 x 16:19 x 20:21:22:23:27:28:29:30 SD: 6.6502 cents 16:17 x 20:21:22:23:24:25:28:29:31:32 SD: 6.9579 cents 17:18 x 21:22:23:24:25:26:30:31:33:34 SD: 4.1905 cents 18:19:20 x 23:24:25:27:28:32:33:35:36 SD: 7.7531 cents 19:20:21:24:25:26:27:28:29:34:35:36:38 SD: 4.7232 cents 20:21:22:25:26:27:28:29:31:35:37:38:40 SD: 4.4239 cents 22:23:24:28:29:30:31:32:34:39:41:42:44 SD: 4.3607 cents 23:24:25:29:30:31:33:34:35:41:42:44:46 SD: 3.4772 cents 24:25:26:30:31:33:34:35:37:42:44:46:48 SD: 3.2289 cents 32:33:35:40:42:43:45:47:49:57:59:61:64 SD: 3.1359 cents 33:34:36:41:43:45:47:49:51:58:61:63:66 SD: 3.0183 cents 34:35:37:43:44:46:48:50:52:60:63:65:68 SD: 2.9371 cents 36:38:39:45:47:49:51:53:55:64:66:69:72 SD: 2.3704 cents 43:45:47:54:56:58:61:63:66:76:79:83:86 SD: 2.0663 cents 44:46:48:55:57:60:62:65:68:78:81:84:88 SD: 1.9682 cents 45:47:49:56:59:61:64:66:69:80:83:86:90 SD: 1.9676 cents 47:49:51:59:61:64:66:69:72:83:87:90:94 SD: 1.7081 cents 48:50:52:60:63:65:68:71:74:85:88:92:96 SD: 1.6411 cents 56:58:61:70:73:76:79:83:86:99:103:107:112 SD: 1.5189 cents 65:68:71:81:85:88:92:96:100:115:120:125:130 SD: 1.4731 cents 67:70:73:84:87:91:95:99:103:118:123:129:134 SD: 1.3756 cents 68:71:74:85:89:92:96:100:104:120:125:131:136 SD: 1.3374 cents 69:72:75:86:90:94:98:102:106:122:127:132:138 SD: 1.2010 cents 70:73:76:88:91:95:99:103:107:124:129:134:140 SD: 1.1947 cents 72:75:78:90:94:98:102:106:111:127:133:138:144 SD: 1.0569 cents 89:93:97:111:116:121:126:131:137:157:164:171:178 SD: 0.9912 cents 92:96:100:115:120:125:130:136:141:163:169:177:184 SD: 0.8966 cents 95:99:103:119:124:129:134:140:146:168:175:182:190 SD: 0.6688 cents 116:121:126:145:151:157:164:171:178:205:214:223:232 SD: 0.5610 cents 140:146:152:175:182:190:198:206:215:248:258:269:280 SD: 0.4994 cents 164:171:178:205:214:223:232:242:252:290:302:315:328 SD: 0.4666 cents 165:172:179:206:215:224:233:243:253:292:304:317:330 SD: 0.4268 cents 185:193:201:231:241:251:262:273:284:327:341:355:370 SD: 0.4173 cents 188:196:204:235:245:255:266:277:289:332:346:361:376 SD: 0.3319 cents 232:242:252:290:302:315:328:342:356:410:427:445:464 SD: 0.2889 cents 258:269:280:323:336:350:365:380:396:456:475:495:516 SD: 0.2844 cents 260:271:282:325:339:353:368:383:399:460:479:499:520 SD: 0.2764 cents 280:292:304:350:365:380:396:413:430:495:516:537:560 SD: 0.2587 cents 327:341:355:409:426:444:462:482:502:578:602:628:654 SD: 0.2447 cents 331:345:359:414:431:449:468:488:508:585:610:635:662 SD: 0.2416 cents 336:350:365:420:438:456:475:495:516:594:619:645:672 SD: 0.1616 cents 456:475:495:570:594:619:645:672:700:806:840:875:912 SD: 0.0848 cents