Scala analysis: xen18-erlich-negrisept-08
1L 7s MOS for Negrisept, L=329.31, s=124.84
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 124.840 cents 124.840000 2: 249.680 cents 249.680000 3: 374.520 cents 374.520000 4: 499.360 cents 499.360000 5: 828.670 cents 828.670000 6: 953.510 cents 953.510000 7: 1078.350 cents 1078.350000 8: 1203.190 cents 1203.190000
SHOW/INTERVAL
0: 124.8400 cents 124.8400 1: 124.8400 cents 124.8400 2: 124.8400 cents 124.8400 3: 124.8400 cents 124.8400 4: 124.8400 cents 124.8400 5: 329.3100 cents 329.3100 6: 124.8400 cents 124.8400 7: 124.8400 cents 124.8400 8: 124.8400 cents 124.8400
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 7 124.84000 cents 1: 1 329.31000 cents 2: 6 249.68000 cents 2: 2 454.15000 cents 3: 5 374.52000 cents 3: 3 578.99000 cents 4: 4 499.36000 cents 4: 4 703.83000 cents 5: 3 624.20000 cents 5: 5 828.67000 cents 6: 2 749.04000 cents 6: 6 953.51000 cents 7: 1 873.88000 cents 7: 7 1078.35000 cents Highest number of different intervals for one interval class: 2 Average number of different intervals per interval class: 2.00000 = 2
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 7 8 0.0 : 124.8 249.7 374.5 499.4 828.7 953.5 1078.3 1203.2 124.8 : 124.8 249.7 374.5 703.8 828.7 953.5 1078.3 1203.2 249.7 : 124.8 249.7 579.0 703.8 828.7 953.5 1078.3 1203.2 374.5 : 124.8 454.2 579.0 703.8 828.7 953.5 1078.3 1203.2 499.4 : 329.3 454.1 579.0 703.8 828.7 953.5 1078.3 1203.2 828.7 : 124.8 249.7 374.5 499.4 624.2 749.0 873.9 1203.2 953.5 : 124.8 249.7 374.5 499.4 624.2 749.0 1078.3 1203.2 1078.3: 124.8 249.7 374.5 499.4 624.2 953.5 1078.4 1203.2 1203.2
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 124.8400 .. 329.3100 cents 204.47000 cents 124.84000 cents 2: 249.6800 .. 454.1500 cents 204.47000 cents -79.63000 cents 3: 374.5200 .. 578.9900 cents 204.47000 cents -79.63000 cents 4: 499.3600 .. 703.8300 cents 204.47000 cents -79.63000 cents 5: 624.2000 .. 828.6700 cents 204.47000 cents -79.63000 cents 6: 749.0400 .. 953.5100 cents 204.47000 cents -79.63000 cents 7: 873.8800 .. 1078.3500 cents 204.47000 cents -79.63000 cents
SHOW DATA
Number of notes : 8 -- Interval properties -- Smallest interval : 124.84000 cents, class 1 Average step (divided formal octave): 150.3987 cents Largest one step interval : 329.31000 cents Average / Smallest step : 1.204732 Largest / Average step : 2.189579 Largest / Smallest step : 2.637856 Median interval of one step : 124.84000 cents, amount: 7 Most common interval of one step : 124.84000 cents, amount: 7 Least squares average step : 150.89990 cents, oct.: 1207.19922 cents Scale is not proper Scale has Myhill's property chromas: 204.47000 cents and 79.63000 cents, ratio: 2.567751 generators: 1 of 124.84000 cents and 7 of 1078.35000 cents ET pair of linear temperament : 10&19 Scale is distributional even Scale is a mode of a 559-tone equal temperament with octave 1203.190 cents degrees: 58 116 174 232 385 443 501 559 generators: 58 and 501 Number of contiguous 1-step segments: 0 Step pattern alph. order: AAAABAAA Step pattern size order : SSSSLSSS Scale is a Constant Structure, by a margin of 45.21000 cents Scale diversity : 1.233241 Lumma stability : 0.207515 Lumma impropriety factor : 0.397094 Rothenberg efficiency : 0.750000 redundancy: 0.250000 Efficiency x scale size : 6.000000 Number of different interval sizes : 14 = 2.00000 / class Number of one step interval sizes : 2 Highest interval variety : 2 Mean interval variety : 2.00000 = 2 Median interval variety : 2 Lowest interval variety : 2 Smallest interval difference : 45.21000 cents Most common intervals : 124.84000 cents & inv., amount: 7 Scale is a chain of 4 triads 0.0 374.520 1078.350 cents Number of recognisable fifths : 4, average 703.8300 cents Number of recognisable fourths : 4, average 499.3600 cents Formal octave complements present : 7 = 87.5000% 2/1 octave complements present : 0 = 0.0000% Limited inverse transpositions : 1 Inversional symmetry on intervals : 0-1 4-5 -- Rational properties --
FIT/MODE
8: 1 0 1 1 2 1 1 1 N T3 SD: 58.5345 c. M: 99.2813 c. 9: 1 1 1 1 2 1 1 1 P M ME SD: 20.7499 c. M:-35.3911 c. 10: 1 1 1 1 3 1 1 1 N M DE SD: 10.6027 c. M: 18.0840 c. 19: 2 2 2 2 5 2 2 2 N M DE SD: 4.2485 c. M:-7.2463 c. 29: 3 3 3 3 8 3 3 3 N M DE SD: 0.8726 c. M: 1.4883 c. 77: 8 8 8 8 21 8 8 8 N M DE SD: 0.3911 c. M:-0.6670 c. 106: 11 11 11 11 29 11 11 11 N M DE SD: 0.0454 c. M:-0.0774 c. 347: 36 36 36 36 95 36 36 36 N M DE SD: 0.0314 c. M: 0.0535 c. 453: 47 47 47 47 124 47 47 47 N M DE SD: 0.0134 c. M: 0.0229 c. 559: 58 58 58 58 153 58 58 58 N M DE SD: 0.0023 c. M: 0.0039 c. 1224: 127 127 127 127 335 127 127 127 N M DE SD: 0.0019 c. M:-0.0032 c. 1783: 185 185 185 185 488 185 185 185 N M DE SD: 0.0006 c. M:-0.0010 c. 2342: 243 243 243 243 641 243 243 243 N M DE SD: 0.0001 c. M: 0.0002 c.
FIT/HARMONIC
1 x x x x x x x 2 S SD: 3.1900 cents 2 x x x x 3 x x 4 S SD: 63.3776 cents 3 x x x 4:5 x x 6 S SD: 18.5985 cents 4 x x 5 x 6:7 x 8 S SD: 32.0552 cents 5 x x 6:7:8 x 9:10 S SD: 23.9221 cents 6 x 7 x 8:10 x 11:12 S SD: 13.0367 cents 7 x 8:9 x 11:12:13:14 SD: 13.5530 cents 8 x 9:10:11:13:14:15:16 SD: 10.5147 cents 9:10 x 11:12:15:16:17:18 S SD: 13.9166 cents 10:11 x 12:13:16:17:19:20 SD: 14.0317 cents 11:12:13:14:15:18:19:21:22 SD: 11.0506 cents 12:13:14:15:16:19:21:22:24 SD: 6.6219 cents 15:16:17:19:20:24:26:28:30 SD: 6.5060 cents 18:19:21:22:24:29:31:34:36 SD: 6.4900 cents 21:23:24:26:28:34:36:39:42 SD: 5.4961 cents 24:26:28:30:32:39:42:45:48 SD: 4.1621 cents 26:28:30:32:35:42:45:48:52 SD: 3.5098 cents 37:40:43:46:49:60:64:69:74 SD: 2.7700 cents 38:41:44:47:51:61:66:71:76 SD: 2.2422 cents 45:48:52:56:60:73:78:84:90 SD: 2.1153 cents 50:54:58:62:67:81:87:93:100 SD: 2.0884 cents 51:55:59:63:68:82:88:95:102 SD: 2.0006 cents 53:57:61:66:71:86:92:99:106 SD: 1.8775 cents 54:58:62:67:72:87:94:101:108 SD: 1.7818 cents 57:61:66:71:76:92:99:106:114 SD: 1.4806 cents 65:70:75:81:87:105:113:121:130 SD: 1.3692 cents 78:84:90:97:104:126:135:145:156 SD: 1.1002 cents 83:89:96:103:111:134:144:155:166 SD: 0.9364 cents 104:112:120:129:139:168:180:194:208 SD: 0.9231 cents 108:116:125:134:144:174:187:201:216 SD: 0.9120 cents 116:125:134:144:155:187:201:216:232 SD: 0.8658 cents 117:126:135:145:156:189:203:218:234 SD: 0.7972 cents 135:145:156:168:180:218:234:252:270 SD: 0.7666 cents 148:159:171:184:197:239:257:276:297 SD: 0.7545 cents 149:160:172:185:199:240:258:278:299 SD: 0.7475 cents 150:161:173:186:200:242:260:280:301 SD: 0.7109 cents 161:173:186:200:215:260:279:300:323 SD: 0.4420 cents 174:187:201:216:232:281:302:324:349 SD: 0.4241 cents 200:215:231:248:267:323:347:373:401 SD: 0.3669 cents 212:228:245:263:283:342:368:395:425 SD: 0.3556 cents 252:271:291:313:336:407:437:470:505 SD: 0.3069 cents 257:276:297:319:343:415:446:479:515 SD: 0.2645 cents 323:347:373:401:431:521:560:602:647 SD: 0.2155 cents 347:373:401:431:463:560:602:647:695 SD: 0.1691 cents 464:499:536:576:619:749:805:865:930 SD: 0.1685 cents 497:534:574:617:663:802:862:927:996 SD: 0.1510 cents 508:546:587:631:678:820:881:947:1018 SD: 0.1502 cents 509:547:588:632:679:821:883:949:1020 SD: 0.1488 cents 521:560:602:647:695:841:904:971:1044 SD: 0.1474 cents 523:562:604:649:698:844:907:975:1048 SD: 0.1391 cents 547:588:632:679:730:883:949:1020:1096 SD: 0.1109 cents