Scala analysis: xen18-erlich-negrisept-10
9L 1s MOS for Negrisept, L=124.84, s=79.63
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: 624.200 cents 624.200000 6: 703.830 cents 703.830000 7: 828.670 cents 828.670000 8: 953.510 cents 953.510000 9: 1078.350 cents 1078.350000 10: 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: 124.8400 cents 124.8400 6: 79.6300 cents 79.6300 7: 124.8400 cents 124.8400 8: 124.8400 cents 124.8400 9: 124.8400 cents 124.8400 10: 124.8400 cents 124.8400
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 79.63000 cents 1: 9 124.84000 cents 2: 2 204.47000 cents 2: 8 249.68000 cents 3: 3 329.31000 cents 3: 7 374.52000 cents 4: 4 454.15000 cents 4: 6 499.36000 cents 5: 5 578.99000 cents 5: 5 624.20000 cents 6: 6 703.83000 cents 6: 4 749.04000 cents 7: 7 828.67000 cents 7: 3 873.88000 cents 8: 8 953.51000 cents 8: 2 998.72000 cents 9: 9 1078.35000 cents 9: 1 1123.56000 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 9 10 0.0 : 124.8 249.7 374.5 499.4 624.2 703.8 828.7 953.5 1078.3 1203.2 124.8 : 124.8 249.7 374.5 499.4 579.0 703.8 828.7 953.5 1078.3 1203.2 249.7 : 124.8 249.7 374.5 454.2 579.0 703.8 828.7 953.5 1078.3 1203.2 374.5 : 124.8 249.7 329.3 454.2 579.0 703.8 828.7 953.5 1078.3 1203.2 499.4 : 124.8 204.5 329.3 454.1 579.0 703.8 828.7 953.5 1078.3 1203.2 624.2 : 79.6 204.5 329.3 454.1 579.0 703.8 828.7 953.5 1078.3 1203.2 703.8 : 124.8 249.7 374.5 499.4 624.2 749.0 873.9 998.7 1123.6 1203.2 828.7 : 124.8 249.7 374.5 499.4 624.2 749.0 873.9 998.7 1078.4 1203.2 953.5 : 124.8 249.7 374.5 499.4 624.2 749.0 873.9 953.5 1078.3 1203.2 1078.3: 124.8 249.7 374.5 499.4 624.2 749.0 828.7 953.5 1078.4 1203.2 1203.2
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 79.6300 .. 124.8400 cents 45.21000 cents 79.63000 cents 2: 204.4700 .. 249.6800 cents 45.21000 cents 79.63000 cents 3: 329.3100 .. 374.5200 cents 45.21000 cents 79.63000 cents 4: 454.1500 .. 499.3600 cents 45.21000 cents 79.63000 cents 5: 578.9900 .. 624.2000 cents 45.21000 cents 79.63000 cents 6: 703.8300 .. 749.0400 cents 45.21000 cents 79.63000 cents 7: 828.6700 .. 873.8800 cents 45.21000 cents 79.63000 cents 8: 953.5100 .. 998.7200 cents 45.21000 cents 79.63000 cents 9: 1078.3500 .. 1123.5600 cents 45.21000 cents 79.63000 cents
SHOW DATA
Number of notes : 10 -- Interval properties -- Smallest interval : 79.63000 cents, class 1 Average step (divided formal octave): 120.3190 cents Largest one step interval : 124.84000 cents Average / Smallest step : 1.510976 Largest / Average step : 1.037575 Largest / Smallest step : 1.567751 Median interval of one step : 124.84000 cents, amount: 9 Most common interval of one step : 124.84000 cents, amount: 9 Least squares average step : 120.14286 cents, oct.: 1201.42857 cents Scale is strictly proper Scale has Myhill's property chromas: 45.21000 cents and 34.42000 cents, ratio: 1.313481 generators: 1 of 124.84000 cents and 9 of 1078.35000 cents ET pair of linear temperament : 10&19 Scale is maximally even for L / S <= 2 Scale is distributional even Scale is a mode of a 559-tone equal temperament with octave 1203.190 cents degrees: 58 116 174 232 290 327 385 443 501 559 generators: 58 and 501 Number of contiguous 1-step segments: 0 Step pattern alph. order: AAAAABAAAA Step pattern size order : LLLLLSLLLL Scale is a Constant Structure, by a margin of 79.63000 cents Scale diversity : 1.245139 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.661824 Rothenberg efficiency : 0.733333 redundancy: 0.266667 Efficiency x scale size : 7.333333 Number of different interval sizes : 18 = 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: 9 Scale is a chain of 5 triads 0.0 499.360 1078.350 cents Most common triad is 0.0 124.840 1078.350 cents, amount: 8 Number of recognisable fifths : 6, average 703.8300 cents Number of recognisable fourths : 6, average 499.3600 cents Scale contains two identical disjunct pentachords Best major thirds form a closed circle Best minor thirds form a closed circle Formal octave complements present : 9 = 90.0000% 2/1 octave complements present : 0 = 0.0000% Limited inverse transpositions : 1 Inversional symmetry on intervals : 0-1 5-6 -- Rational properties --
FIT/MODE
10: 1 1 1 1 1 1 1 1 1 1 SP B ME I SD: 13.1809 c. M: 22.6050 c. 19: 2 2 2 2 2 1 2 2 2 2 SP M ME SD: 5.2816 c. M:-9.0579 c. 29: 3 3 3 3 3 2 3 3 3 3 SP M ME SD: 1.0848 c. M: 1.8603 c. 77: 8 8 8 8 8 5 8 8 8 8 SP M DE SD: 0.4862 c. M:-0.8338 c. 106: 11 11 11 11 11 7 11 11 11 11 SP M DE SD: 0.0564 c. M:-0.0967 c. 347: 36 36 36 36 36 23 36 36 36 36 SP M DE SD: 0.0390 c. M: 0.0669 c. 453: 47 47 47 47 47 30 47 47 47 47 SP M DE SD: 0.0167 c. M: 0.0286 c. 559: 58 58 58 58 58 37 58 58 58 58 SP M DE SD: 0.0028 c. M: 0.0048 c. 1224: 127 127 127 127 127 81 127 127 127 127 SP M DE SD: 0.0023 c. M:-0.0040 c. 1783: 185 185 185 185 185 118 185 185 185 185 SP M DE SD: 0.0007 c. M:-0.0012 c. 2342: 243 243 243 243 243 155 243 243 243 243 SP M DE SD: 0.0001 c. M: 0.0002 c.
FIT/HARMONIC
1 x x x x x x x x x 2 S SD: 3.1900 cents 2 x x x x x 3 x x x 4 S SD: 1.8501 cents 3 x x x 4 x x 5 x x 6 S SD: 18.5985 cents 4 x x 5 x x 6 x 7 x 8 S SD: 4.9204 cents 5 x x 6 x 7 x 8 x 9:10 S SD: 19.1105 cents 6 x 7 x 8 x 9:10 x 11:12 S SD: 10.8684 cents 7 x 8:9 x 10 x 11:12:13:14 S SD: 11.6564 cents 8 x 9:10:11 x 12:13:14:15:16 S SD: 9.2033 cents 9:10 x 11:12:13:14:15:16:17:18 S SD: 12.8503 cents 10:11 x 12:13:14:15:16:17:19:20 SD: 11.8577 cents 11:12:13:14:15:16:17:18:19:21:22 SD: 10.4382 cents 12:13:14:15:16:17:18:19:21:22:24 SD: 5.7090 cents 18:19:21:22:24:26:27:29:31:34:36 SD: 5.3418 cents 21:23:24:26:28:30:32:34:36:39:42 SD: 5.1215 cents 24:26:28:30:32:34:36:39:42:45:48 S SD: 3.9517 cents 26:28:30:32:35:37:39:42:45:48:52 SD: 3.1161 cents 30:32:35:37:40:43:45:48:52:56:60 SD: 2.9080 cents 37:40:43:46:49:53:56:60:64:69:74 SD: 2.6107 cents 38:41:44:47:51:54:57:61:66:71:76 SD: 2.4009 cents 39:42:45:48:52:56:59:63:68:73:78 SD: 2.3563 cents 42:45:49:52:56:60:63:68:73:78:84 SD: 2.2241 cents 44:47:51:55:59:63:66:71:76:82:88 SD: 2.0857 cents 50:54:58:62:67:72:75:81:87:93:100 SD: 1.8243 cents 53:57:61:66:71:76:80:86:92:99:106 SD: 1.7501 cents 54:58:62:67:72:77:81:87:94:101:108 SD: 1.7468 cents 57:61:66:71:76:82:86:92:99:106:114 SD: 1.5394 cents 65:70:75:81:87:93:98:105:113:121:130 SD: 1.3606 cents 78:84:90:97:104:112:117:126:135:145:156 SD: 0.9251 cents 83:89:96:103:111:119:125:134:144:155:166 SD: 0.9054 cents 90:97:104:112:120:129:135:145:156:168:180 SD: 0.8496 cents 104:112:120:129:139:149:156:168:180:194:208 SD: 0.7812 cents 108:116:125:134:144:155:162:174:187:201:216 SD: 0.7642 cents 117:126:135:145:156:168:176:189:203:218:234 SD: 0.7387 cents 120:129:139:149:160:172:180:194:208:224:240 SD: 0.7385 cents 147:158:170:183:196:211:221:237:255:274:295 SD: 0.6699 cents 148:159:171:184:197:212:222:239:257:276:297 SD: 0.6642 cents 150:161:173:186:200:215:225:242:260:280:301 SD: 0.6063 cents 161:173:186:200:215:231:242:260:279:300:323 SD: 0.4006 cents 200:215:231:248:267:287:300:323:347:373:401 SD: 0.3641 cents 212:228:245:263:283:304:318:342:368:395:425 SD: 0.3413 cents 251:270:290:312:335:360:377:405:435:468:503 SD: 0.3121 cents 257:276:297:319:343:369:386:415:446:479:515 SD: 0.2951 cents 290:312:335:360:387:416:435:468:503:541:581 SD: 0.2866 cents 295:317:341:366:394:423:443:476:512:550:591 SD: 0.2606 cents 309:332:357:384:412:443:464:499:536:576:619 SD: 0.2559 cents 311:334:359:386:415:446:467:502:539:580:623 SD: 0.2488 cents 323:347:373:401:431:463:485:521:560:602:647 SD: 0.1914 cents 347:373:401:431:463:498:521:560:602:647:695 SD: 0.1856 cents 373:401:431:463:498:535:560:602:647:695:747 SD: 0.1853 cents 451:485:521:560:602:647:677:728:782:841:904 SD: 0.1791 cents 472:507:545:586:630:677:709:762:819:880:946 SD: 0.1740 cents 484:520:559:601:646:694:727:781:840:902:970 SD: 0.1623 cents 497:534:574:617:663:713:746:802:862:927:996 SD: 0.1522 cents 509:547:588:632:679:730:764:821:883:949:1020 SD: 0.1405 cents 523:562:604:649:698:750:785:844:907:975:1048 SD: 0.1358 cents 560:602:647:695:747:803:841:904:971:1044:1122 SD: 0.1268 cents 562:604:649:698:750:806:844:907:975:1048:1126 SD: 0.1041 cents