Scala analysis: xen18-erlich-vishnu-14
2L 12s MOS for Vishnu, L=173.07, 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: 213.450 cents 213.450000 4: 386.520 cents 386.520000 5: 457.670 cents 457.670000 6: 528.820 cents 528.820000 7: 599.970 cents 599.970000 8: 671.120 cents 671.120000 9: 742.270 cents 742.270000 10: 813.420 cents 813.420000 11: 986.490 cents 986.490000 12: 1057.640 cents 1057.640000 13: 1128.790 cents 1128.790000 14: 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: 71.1500 cents 71.1500 4: 173.0700 cents 173.0700 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: 71.1500 cents 71.1500 10: 71.1500 cents 71.1500 11: 173.0700 cents 173.0700 12: 71.1500 cents 71.1500 13: 71.1500 cents 71.1500 14: 71.1500 cents 71.1500
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 12 71.15000 cents 1: 2 173.07000 cents 2: 10 142.30000 cents 2: 4 244.22000 cents 3: 8 213.45000 cents 3: 6 315.37000 cents 4: 6 284.60000 cents 4: 8 386.52000 cents 5: 4 355.75000 cents 5: 10 457.67000 cents 6: 2 426.90000 cents 6: 12 528.82000 cents 7: 14 599.97000 cents 8: 12 671.12000 cents 8: 2 773.04000 cents 9: 10 742.27000 cents 9: 4 844.19000 cents 10: 8 813.42000 cents 10: 6 915.34000 cents 11: 6 884.57000 cents 11: 8 986.49000 cents 12: 4 955.72000 cents 12: 10 1057.64000 cents 13: 2 1026.87000 cents 13: 12 1128.79000 cents Highest number of different intervals for one interval class: 2 Average number of different intervals per interval class: 1.92308 = 25/13
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 7 8 9 10 11 12 13 14 0.0 : 71.2 142.3 213.5 386.5 457.7 528.8 600.0 671.1 742.3 813.4 986.5 1057.6 1128.8 1199.9 71.2 : 71.2 142.3 315.4 386.5 457.7 528.8 600.0 671.1 742.3 915.3 986.5 1057.6 1128.8 1199.9 142.3 : 71.2 244.2 315.4 386.5 457.7 528.8 600.0 671.1 844.2 915.3 986.5 1057.6 1128.8 1199.9 213.5 : 173.1 244.2 315.4 386.5 457.7 528.8 600.0 773.0 844.2 915.3 986.5 1057.6 1128.8 1199.9 386.5 : 71.2 142.3 213.5 284.6 355.8 426.9 600.0 671.1 742.3 813.4 884.6 955.7 1026.9 1199.9 457.7 : 71.2 142.3 213.5 284.6 355.7 528.8 600.0 671.1 742.3 813.4 884.6 955.7 1128.8 1199.9 528.8 : 71.2 142.3 213.5 284.6 457.7 528.8 600.0 671.1 742.3 813.4 884.6 1057.6 1128.8 1199.9 600.0 : 71.2 142.3 213.5 386.5 457.7 528.8 600.0 671.1 742.3 813.4 986.5 1057.6 1128.8 1199.9 671.1 : 71.2 142.3 315.4 386.5 457.7 528.8 600.0 671.1 742.3 915.3 986.5 1057.6 1128.8 1199.9 742.3 : 71.2 244.2 315.4 386.5 457.7 528.8 600.0 671.1 844.2 915.3 986.5 1057.6 1128.8 1199.9 813.4 : 173.1 244.2 315.4 386.5 457.7 528.8 600.0 773.0 844.2 915.3 986.5 1057.6 1128.8 1199.9 986.5 : 71.2 142.3 213.5 284.6 355.7 426.9 600.0 671.1 742.3 813.4 884.6 955.7 1026.9 1199.9 1057.6: 71.2 142.3 213.5 284.6 355.7 528.8 600.0 671.1 742.3 813.4 884.6 955.7 1128.8 1199.9 1128.8: 71.2 142.3 213.5 284.6 457.7 528.8 600.0 671.1 742.3 813.4 884.6 1057.6 1128.8 1199.9 1199.9
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 71.1500 .. 173.0700 cents 101.92000 cents 71.15000 cents 2: 142.3000 .. 244.2200 cents 101.92000 cents -30.77000 cents 3: 213.4500 .. 315.3700 cents 101.92000 cents -30.77000 cents 4: 284.6000 .. 386.5200 cents 101.92000 cents -30.77000 cents 5: 355.7500 .. 457.6700 cents 101.92000 cents -30.77000 cents 6: 426.9000 .. 528.8200 cents 101.92000 cents -30.77000 cents 7: 599.9700 .. 599.9700 cents 1/1, 0.0000 cents 71.15000 cents 8: 671.1200 .. 773.0400 cents 101.92000 cents 71.15000 cents 9: 742.2700 .. 844.1900 cents 101.92000 cents -30.77000 cents 10: 813.4200 .. 915.3400 cents 101.92000 cents -30.77000 cents 11: 884.5700 .. 986.4900 cents 101.92000 cents -30.77000 cents 12: 955.7200 .. 1057.6400 cents 101.92000 cents -30.77000 cents 13: 1026.8700 .. 1128.7900 cents 101.92000 cents -30.77000 cents
SHOW DATA
Number of notes : 14 -- Interval properties -- Smallest interval : 71.15000 cents, class 1 Average step (divided formal octave): 85.7100 cents Largest one step interval : 173.07000 cents Average / Smallest step : 1.204638 Largest / Average step : 2.019251 Largest / Smallest step : 2.432467 Median interval of one step : 71.15000 cents, amount: 12 Most common interval of one step : 71.15000 cents, amount: 12 Least squares average step : 86.11166 cents, oct.: 1205.56317 cents Scale is not proper Scale has 2 repeating blocks of 7 notes Blocks have Myhill's property chromas: 101.92000 cents and 30.77000 cents, ratio: 3.312317 generators: 1 of 71.15000 cents and 6 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 74 111 201 238 275 312 349 386 423 513 550 587 624 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: 319 = 305 more = 2278.571% Number of contiguous 1-step segments: 0 Step pattern alph. order: AAABAAAAAABAAA Step pattern size order : SSSLSSSSSSLSSS Scale is a Constant Structure, by a margin of 30.77000 cents Scale diversity : 1.185699 Lumma stability : 0.237179 Lumma impropriety factor : 0.256429 Number of different interval sizes : 25 = 1.92308 / class Number of one step interval sizes : 2 Highest interval variety : 2 Mean interval variety : 1.92308 = 25/13 Median interval variety : 2 Lowest interval variety : 1 Smallest interval difference : 30.77000 cents Most common intervals : 599.97000 cents & inv., amount: 14 Number of recognisable fifths : 0 Number of recognisable fourths : 0 Scale contains two identical disjunct heptachords Formal octave complements present : 14 = 100.0000% 2/1 octave complements present : 0 = 0.0000% Limited transpositions : 7 Limited inverse transpositions : 7 Inversional symmetry on degrees : 0 7 Inversional symmetry on intervals : 3-4 10-11 -- Rational properties --
FIT/MODE
14: 0 1 1 2 1 1 1 0 1 1 2 1 1 1 N B D3 SD: 43.0932 c. M: 71.1500 c. 15: 1 1 1 2 1 1 0 1 1 1 2 1 1 1 N D3 SD: 22.5028 c. M: 39.9980 c. 16: 1 1 1 2 1 1 1 1 1 1 2 1 1 1 P B ME I SD: 7.6925 c. M:-11.5388 c. Bipelog-14 34: 2 2 2 5 2 2 2 2 2 2 5 2 2 2 N B DE I SD: 1.1306 c. M:-1.6959 c. 84: 5 5 5 12 5 5 5 5 5 5 12 5 5 5 N B DE I SD: 0.5500 c. M:-0.8250 c. 118: 7 7 7 17 7 7 7 7 7 7 17 7 7 7 N B DE I SD: 0.0658 c. M:-0.0986 c. 388: 23 23 23 56 23 23 23 23 23 23 56 23 23 23 N B DE I SD: 0.0391 c. M:-0.0586 c. 506: 30 30 30 73 30 30 30 30 30 30 73 30 30 30 N B DE I SD: 0.0146 c. M:-0.0219 c. 624: 37 37 37 90 37 37 37 37 37 37 90 37 37 37 N B DE I SD: 0.0006 c. M:-0.0009 c.
FIT/HARMONIC
1 x x x x x x x x x x x x x 2 S SD: 0.0600 cents 2 x x x x x x x 3 x x x x x 4 S SD: 15.4175 cents 3 x x x x x 4 x x x 5 x x x 6 S SD: 25.7755 cents 4 x x x 5 x x x 6 x x 7 x x 8 S SD: 8.8842 cents 5 x x x 6 x x 7 x x 8:9 x x 10 S SD: 15.8698 cents 6 x x 7 x x 8 x 9 x 10 x 11 x 12 S SD: 16.5433 cents 7 x x 8 x 9 x 10 x x 11:12:13 x 14 S SD: 10.2348 cents 8 x x 9:10 x 11 x 12 x 13:14:15 x 16 S SD: 7.4299 cents 9 x x 10:11 x 12 x 13:14 x 16 x 17:18 S SD: 9.6872 cents 10 x 11 x x 13 x 14:15 x 16:18 x 19:20 SD: 6.9148 cents 11 x 12 x 14 x 15 x 16:17:18:19:20:21:22 S SD: 7.4071 cents 12 x 13:14:15 x 16:17:18 x 19:21:22:23:24 SD: 6.7300 cents 13 x 14:15:16:17:18 x 19:20:21:23:24:25:26 SD: 5.1815 cents 14 x 15:16 x 18:19:20:21 x 22:25:26:27:28 SD: 5.8397 cents 15 x 16:17:19 x 20:21:22:23:24:27:28:29:30 SD: 5.5484 cents 16:17 x 18:20:21:22:23:24:25:26:28:29:31:32 SD: 6.2888 cents 17:18 x 19:21:22:23:24:25:26:27:30:31:33:34 SD: 4.0102 cents 18:19 x 20 x 23:24:25:27:28:29:32:33:35:36 SD: 6.8612 cents 19:20:21 x 24:25:26:27:28:29:30:34:35:36:38 SD: 4.6955 cents 20:21:22:23:25:26:27:28:29:31:32:35:37:38:40 SD: 4.3042 cents 22:23:24:25:28:29:30:31:32:34:35:39:41:42:44 SD: 3.8414 cents 23:24:25:26:29:30:31:33:34:35:37:41:42:44:46 SD: 3.0603 cents 32:33:35:36:40:42:43:45:47:49:51:57:59:61:64 SD: 2.8117 cents 36:38:39:41:45:47:49:51:53:55:58:64:66:69:72 SD: 2.3647 cents 39:41:42:44:49:51:53:55:57:60:62:69:72:75:78 SD: 2.2144 cents 43:45:47:49:54:56:58:61:63:66:69:76:79:83:86 SD: 2.0250 cents 44:46:48:50:55:57:60:62:65:68:70:78:81:84:88 SD: 1.9056 cents 45:47:49:51:56:59:61:64:66:69:72:80:83:86:90 SD: 1.7024 cents 47:49:51:53:59:61:64:66:69:72:75:83:87:90:94 SD: 1.5464 cents 60:63:65:68:75:78:81:85:88:92:96:106:111:115:120 SD: 1.5007 cents 65:68:71:74:81:85:88:92:96:100:104:115:120:125:130 SD: 1.4893 cents 67:70:73:76:84:87:91:95:99:103:107:118:123:129:134 SD: 1.2452 cents 68:71:74:77:85:89:92:96:100:104:109:120:125:131:136 SD: 1.1790 cents 69:72:75:78:86:90:94:98:102:106:110:122:127:132:138 SD: 1.1188 cents 70:73:76:79:88:91:95:99:103:107:112:124:129:134:140 SD: 1.0643 cents 89:93:97:101:111:116:121:126:131:137:142:157:164:171:178 SD: 0.9928 cents 90:94:98:102:113:117:122:127:133:138:144:159:166:173:180 SD: 0.9675 cents 92:96:100:104:115:120:125:130:136:141:147:163:169:177:184 SD: 0.7875 cents 95:99:103:107:119:124:129:134:140:146:152:168:175:182:190 SD: 0.7856 cents 112:117:122:127:140:146:152:158:165:172:179:198:206:215:224 SD: 0.7156 cents 115:120:125:130:144:150:156:163:169:177:184:203:212:221:230 SD: 0.6949 cents 116:121:126:131:145:151:157:164:171:178:186:205:214:223:232 SD: 0.5967 cents 120:125:130:136:150:156:163:170:177:184:192:212:221:230:240 SD: 0.5704 cents 140:146:152:158:175:182:190:198:206:215:224:248:258:269:280 SD: 0.5171 cents 152:158:165:172:190:198:206:215:224:233:243:269:280:292:304 SD: 0.4417 cents 165:172:179:187:206:215:224:233:243:253:264:292:304:317:330 SD: 0.4332 cents 185:193:201:209:231:241:251:262:273:284:296:327:341:355:370 SD: 0.3934 cents 188:196:204:213:235:245:255:266:277:289:301:332:346:361:376 SD: 0.3581 cents 215:224:233:243:269:280:292:304:317:330:344:380:396:413:430 SD: 0.3120 cents 235:245:255:266:294:306:319:332:346:361:376:415:433:451:470 SD: 0.2759 cents 258:269:280:292:323:336:350:365:380:396:413:456:475:495:516 SD: 0.2636 cents 260:271:282:294:325:339:353:368:383:399:416:460:479:499:520 SD: 0.2426 cents 327:341:355:370:409:426:444:462:482:502:523:578:602:628:654 SD: 0.2138 cents 336:350:365:380:420:438:456:475:495:516:538:594:619:645:672 SD: 0.1799 cents 387:403:420:438:484:504:525:547:570:594:619:684:713:743:774 SD: 0.1717 cents 420:438:456:475:525:547:570:594:619:645:672:743:774:806:840 SD: 0.1547 cents 456:475:495:516:570:594:619:645:672:700:729:806:840:875:912 SD: 0.1170 cents 572:596:621:647:715:745:776:809:843:878:915:1011:1054:1098:1144 SD: 0.0876 cents