Scala analysis: xen18-erlich-nautilus-12
1L 11s MOS for Nautilus, L=289.99, s=82.97
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 82.970 cents 82.970000 2: 165.940 cents 165.940000 3: 248.910 cents 248.910000 4: 331.880 cents 331.880000 5: 414.850 cents 414.850000 6: 497.820 cents 497.820000 7: 787.810 cents 787.810000 8: 870.780 cents 870.780000 9: 953.750 cents 953.750000 10: 1036.720 cents 1036.720000 11: 1119.690 cents 1119.690000 12: 1202.660 cents 1202.660000
SHOW/INTERVAL
0: 82.9700 cents 82.9700 1: 82.9700 cents 82.9700 2: 82.9700 cents 82.9700 3: 82.9700 cents 82.9700 4: 82.9700 cents 82.9700 5: 82.9700 cents 82.9700 6: 82.9700 cents 82.9700 7: 289.9900 cents 289.9900 8: 82.9700 cents 82.9700 9: 82.9700 cents 82.9700 10: 82.9700 cents 82.9700 11: 82.9700 cents 82.9700 12: 82.9700 cents 82.9700
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 11 82.97000 cents 1: 1 289.99000 cents 2: 10 165.94000 cents 2: 2 372.96000 cents 3: 9 248.91000 cents 3: 3 455.93000 cents 4: 8 331.88000 cents 4: 4 538.90000 cents 5: 7 414.85000 cents 5: 5 621.87000 cents 6: 6 497.82000 cents 6: 6 704.84000 cents 7: 5 580.79000 cents 7: 7 787.81000 cents 8: 4 663.76000 cents 8: 8 870.78000 cents 9: 3 746.73000 cents 9: 9 953.75000 cents 10: 2 829.70000 cents 10: 10 1036.72000 cents 11: 1 912.67000 cents 11: 11 1119.69000 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 11 12 0.0 : 83.0 165.9 248.9 331.9 414.8 497.8 787.8 870.8 953.8 1036.7 1119.7 1202.7 83.0 : 83.0 165.9 248.9 331.9 414.8 704.8 787.8 870.8 953.8 1036.7 1119.7 1202.7 165.9 : 83.0 165.9 248.9 331.9 621.9 704.8 787.8 870.8 953.8 1036.7 1119.7 1202.7 248.9 : 83.0 165.9 248.9 538.9 621.9 704.8 787.8 870.8 953.8 1036.7 1119.7 1202.7 331.9 : 83.0 165.9 455.9 538.9 621.9 704.8 787.8 870.8 953.8 1036.7 1119.7 1202.7 414.8 : 83.0 373.0 455.9 538.9 621.9 704.8 787.8 870.8 953.8 1036.7 1119.7 1202.7 497.8 : 290.0 373.0 455.9 538.9 621.9 704.8 787.8 870.8 953.8 1036.7 1119.7 1202.7 787.8 : 83.0 165.9 248.9 331.9 414.9 497.8 580.8 663.8 746.7 829.7 912.7 1202.7 870.8 : 83.0 165.9 248.9 331.9 414.9 497.8 580.8 663.8 746.7 829.7 1119.7 1202.7 953.8 : 83.0 165.9 248.9 331.9 414.9 497.8 580.8 663.8 746.7 1036.7 1119.7 1202.7 1036.7: 83.0 165.9 248.9 331.9 414.8 497.8 580.8 663.8 953.8 1036.7 1119.7 1202.7 1119.7: 83.0 165.9 248.9 331.9 414.9 497.8 580.8 870.8 953.8 1036.7 1119.7 1202.7 1202.7
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 82.9700 .. 289.9900 cents 207.02000 cents 82.97000 cents 2: 165.9400 .. 372.9600 cents 207.02000 cents -124.05000 cents 3: 248.9100 .. 455.9300 cents 207.02000 cents -124.05000 cents 4: 331.8800 .. 538.9000 cents 207.02000 cents -124.05000 cents 5: 414.8500 .. 621.8700 cents 207.02000 cents -124.05000 cents 6: 497.8200 .. 704.8400 cents 207.02000 cents -124.05000 cents 7: 580.7900 .. 787.8100 cents 207.02000 cents -124.05000 cents 8: 663.7600 .. 870.7800 cents 207.02000 cents -124.05000 cents 9: 746.7300 .. 953.7500 cents 207.02000 cents -124.05000 cents 10: 829.7000 .. 1036.7200 cents 207.02000 cents -124.05000 cents 11: 912.6700 .. 1119.6900 cents 207.02000 cents -124.05000 cents
SHOW DATA
Number of notes : 12 -- Interval properties -- Smallest interval : 82.97000 cents, class 1 Average step (divided formal octave): 100.2217 cents Largest one step interval : 289.99000 cents Average / Smallest step : 1.207927 Largest / Average step : 2.893486 Largest / Smallest step : 3.495119 Median interval of one step : 82.97000 cents, amount: 11 Most common interval of one step : 82.97000 cents, amount: 11 Least squares average step : 101.12406 cents, oct.: 1213.48874 cents Scale is not proper Scale has Myhill's property chromas: 207.02000 cents and 124.05000 cents, ratio: 1.668843 generators: 1 of 82.97000 cents and 11 of 1119.69000 cents ET pair of linear temperament : 14&29 Scale is distributional even Scale is a mode of a 1435-tone equal temperament with octave 1202.660 cents degrees: 99 198 297 396 495 594 940 1039 1138 1237 1336 1435 generators: 99 and 1336 Number of contiguous 1-step segments: 0 Step pattern alph. order: AAAAAABAAAAA Step pattern size order : SSSSSSLSSSSS Scale is a Constant Structure, by a margin of 41.08000 cents Scale diversity : 1.213096 Lumma stability : 0.137977 Lumma impropriety factor : 0.724045 Rothenberg efficiency : 0.722222 redundancy: 0.277778 Efficiency x scale size : 8.666667 Number of different interval sizes : 22 = 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 : 41.08000 cents Most common intervals : 82.97000 cents & inv., amount: 11 Scale is a chain of 6 triads 0.0 414.850 1119.690 cents Number of recognisable fifths : 6, average 704.8400 cents Number of recognisable fourths : 6, average 497.8200 cents Formal octave complements present : 11 = 91.6667% 2/1 octave complements present : 0 = 0.0000% Limited inverse transpositions : 1 Inversional symmetry on intervals : 0-1 6-7 -- Rational properties --
FIT/MODE
12: 1 1 0 1 1 1 3 1 1 0 1 1 N SD: 28.9018 c. M:-48.4667 c. 13: 1 1 1 0 1 1 3 1 1 1 1 1 N SD: 32.2571 c. M: 54.3431 c. 14: 1 1 1 1 1 1 3 1 1 1 1 1 N M DE SD: 10.2350 c. M:-17.6057 c. 15: 1 1 1 1 1 1 4 1 1 1 1 1 N M DE SD: 9.7410 c. M: 16.7560 c. 29: 2 2 2 2 2 2 7 2 2 2 2 2 N M DE SD: 0.0974 c. M: 0.1676 c. 768: 53 53 53 53 53 53 185 53 53 53 53 53 N M DE SD: 0.0909 c. M:-0.1564 c. 797: 55 55 55 55 55 55 192 55 55 55 55 55 N M DE SD: 0.0841 c. M:-0.1446 c. 826: 57 57 57 57 57 57 199 57 57 57 57 57 N M DE SD: 0.0777 c. M:-0.1337 c. 855: 59 59 59 59 59 59 206 59 59 59 59 59 N M DE SD: 0.0718 c. M:-0.1234 c. 884: 61 61 61 61 61 61 213 61 61 61 61 61 N M DE SD: 0.0662 c. M:-0.1139 c. 913: 63 63 63 63 63 63 220 63 63 63 63 63 N M DE SD: 0.0610 c. M:-0.1050 c. 942: 65 65 65 65 65 65 227 65 65 65 65 65 N M DE SD: 0.0561 c. M:-0.0966 c. 971: 67 67 67 67 67 67 234 67 67 67 67 67 N M DE SD: 0.0515 c. M:-0.0887 c. 1000: 69 69 69 69 69 69 241 69 69 69 69 69 N M DE SD: 0.0472 c. M:-0.0812 c. 1029: 71 71 71 71 71 71 248 71 71 71 71 71 N M DE SD: 0.0432 c. M:-0.0742 c. 1058: 73 73 73 73 73 73 255 73 73 73 73 73 N M DE SD: 0.0393 c. M:-0.0676 c. 1087: 75 75 75 75 75 75 262 75 75 75 75 75 N M DE SD: 0.0357 c. M:-0.0613 c. 1116: 77 77 77 77 77 77 269 77 77 77 77 77 N M DE SD: 0.0322 c. M:-0.0554 c. 1145: 79 79 79 79 79 79 276 79 79 79 79 79 N M DE SD: 0.0289 c. M:-0.0497 c. 1174: 81 81 81 81 81 81 283 81 81 81 81 81 N M DE SD: 0.0258 c. M:-0.0444 c. 1203: 83 83 83 83 83 83 290 83 83 83 83 83 N M DE SD: 0.0228 c. M:-0.0393 c. 1232: 85 85 85 85 85 85 297 85 85 85 85 85 N M DE SD: 0.0200 c. M:-0.0344 c. 1261: 87 87 87 87 87 87 304 87 87 87 87 87 N M DE SD: 0.0173 c. M:-0.0297 c. 1290: 89 89 89 89 89 89 311 89 89 89 89 89 N M DE SD: 0.0147 c. M:-0.0253 c. 1319: 91 91 91 91 91 91 318 91 91 91 91 91 N M DE SD: 0.0122 c. M:-0.0211 c. 1348: 93 93 93 93 93 93 325 93 93 93 93 93 N M DE SD: 0.0099 c. M:-0.0170 c. 1377: 95 95 95 95 95 95 332 95 95 95 95 95 N M DE SD: 0.0076 c. M:-0.0131 c. 1406: 97 97 97 97 97 97 339 97 97 97 97 97 N M DE SD: 0.0055 c. M:-0.0094 c. 1435: 99 99 99 99 99 99 346 99 99 99 99 99 N M DE SD: 0.0034 c. M:-0.0058 c. 1464: 101 101 101 101 101 101 353 101 101 101 101 101 N M DE SD: 0.0014 c. M:-0.0024 c. 1493: 103 103 103 103 103 103 360 103 103 103 103 103 N M 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: 2.6600 cents 2 x x x x x x 3 x x x x 4 S SD: 42.9481 cents 3 x x x x x 4 x 5 x x x 6 S SD: 4.6129 cents 4 x x x x 5 x 6 x 7 x x 8 S SD: 22.9398 cents 5 x x x 6 x 7:8 x x 9 x 10 S SD: 18.4161 cents 6 x x 7 x x 8:9:10 x 11 x 12 S SD: 14.9490 cents 7 x x 8 x 9 x 11 x 12:13 x 14 SD: 8.1790 cents 8 x 9 x x 10:11 x 13:14 x 15:16 SD: 12.1680 cents 9 x 10 x 11 x 12:14:15 x 16:17:18 S SD: 7.1000 cents 10 x 11 x 12:13 x 16 x 17:18:19:20 SD: 8.0634 cents 11 x 12:13 x 14:15:17:18:19:20:21:22 SD: 7.0443 cents 12 x 13:14 x 15:16:19:20:21:22:23:24 SD: 5.0680 cents 13 x 14:15:16 x 17:20:22:23:24:25:26 SD: 9.2676 cents 14:15 x 16:17:18:19:22:23:24:25:27:28 SD: 6.4274 cents 15:16 x 17:18:19:20:24:25:26:27:29:30 SD: 5.6459 cents 16:17:18 x 19:20:21:25:26:28:29:31:32 SD: 7.4552 cents 17:18:19:20:21:22:23:27:28:29:31:32:34 SD: 6.7216 cents 18:19:20:21:22:23:24:28:30:31:33:34:36 SD: 4.1002 cents 19:20:21:22:23:24:25:30:31:33:35:36:38 SD: 3.6432 cents 30:31:33:35:36:38:40:47:50:52:55:57:60 SD: 3.5772 cents 32:34:35:37:39:41:43:50:53:56:58:61:64 SD: 3.3739 cents 33:35:36:38:40:42:44:52:55:57:60:63:66 SD: 2.4628 cents 37:39:41:43:45:47:49:58:61:64:67:71:74 SD: 2.3837 cents 38:40:42:44:46:48:51:60:63:66:69:73:76 SD: 1.9056 cents 52:55:57:60:63:66:69:82:86:90:95:99:104 SD: 1.6932 cents 57:60:63:66:69:72:76:90:94:99:104:109:114 SD: 1.4178 cents 60:63:66:69:73:76:80:95:99:104:109:115:120 SD: 1.3924 cents 63:66:69:73:76:80:84:99:104:109:115:120:126 SD: 1.3864 cents 66:69:73:76:80:84:88:104:109:114:120:126:132 SD: 1.2147 cents 77:81:85:89:93:98:103:121:127:134:140:147:154 SD: 1.1984 cents 78:82:86:90:94:99:104:123:129:135:142:149:156 SD: 0.9571 cents 90:94:99:104:109:114:120:142:149:156:164:172:180 SD: 0.8998 cents 99:104:109:114:120:126:132:156:164:172:180:189:198 SD: 0.6578 cents 118:124:130:136:143:150:157:186:195:205:215:225:236 SD: 0.6323 cents 141:148:155:163:171:179:188:222:233:245:257:269:282 SD: 0.5617 cents 156:164:172:180:189:198:208:246:258:271:284:298:312 SD: 0.5442 cents 162:170:178:187:196:206:216:255:268:281:295:309:324 SD: 0.4689 cents 180:189:198:208:218:229:240:284:298:312:328:344:361 SD: 0.4542 cents 188:197:207:217:228:239:251:296:311:326:342:359:377 SD: 0.4204 cents 189:198:208:218:229:240:252:298:313:328:344:361:379 SD: 0.3929 cents 199:209:219:230:241:253:265:314:329:345:362:380:399 SD: 0.3681 cents 207:217:228:239:251:263:276:326:342:359:377:395:415 SD: 0.3394 cents 222:233:244:256:269:282:296:350:367:385:404:424:445 SD: 0.3162 cents 240:252:264:277:291:305:320:378:397:416:437:458:481 SD: 0.3045 cents 265:278:292:306:321:337:353:418:438:460:482:506:531 SD: 0.2940 cents 285:299:314:329:345:362:380:449:471:494:519:544:571 SD: 0.2766 cents 288:302:317:333:349:366:384:454:476:500:524:550:577 SD: 0.2653 cents 306:321:337:353:371:389:408:482:506:531:557:584:613 SD: 0.2498 cents 309:324:340:357:374:393:412:487:511:536:562:590:619 SD: 0.2305 cents 350:367:385:404:424:445:467:552:579:607:637:668:701 SD: 0.2209 cents 366:384:403:423:443:465:488:577:605:635:666:699:733 SD: 0.2090 cents 369:387:406:426:447:469:492:582:610:640:672:705:739 SD: 0.1840 cents 387:406:426:447:469:492:516:610:640:671:704:739:775 SD: 0.1584 cents 465:488:512:537:563:591:620:733:769:807:846:888:931 SD: 0.1526 cents 505:530:556:583:612:642:673:796:835:876:919:964:1012 SD: 0.1516 cents 510:535:561:589:618:648:680:804:843:885:928:974:1022 SD: 0.1505 cents 517:542:569:597:626:657:689:815:855:897:941:987:1036 SD: 0.1433 cents 529:555:582:611:641:672:705:834:875:918:963:1010:1060 SD: 0.1428 cents 550:577:605:635:666:699:733:867:910:954:1001:1050:1102 SD: 0.1402 cents 576:604:634:665:698:732:768:908:952:999:1048:1100:1154 SD: 0.1395 cents 588:617:647:679:712:747:784:927:972:1020:1070:1123:1178 SD: 0.1136 cents 595:624:655:687:721:756:793:938:984:1032:1083:1136:1192 SD: 0.1033 cents