Scala analysis: xen18-erlich-nautilus-11
1L 10s MOS for Nautilus, L=372.96, 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: 787.810 cents 787.810000 7: 870.780 cents 870.780000 8: 953.750 cents 953.750000 9: 1036.720 cents 1036.720000 10: 1119.690 cents 1119.690000 11: 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: 372.9600 cents 372.9600 7: 82.9700 cents 82.9700 8: 82.9700 cents 82.9700 9: 82.9700 cents 82.9700 10: 82.9700 cents 82.9700 11: 82.9700 cents 82.9700
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 10 82.97000 cents 1: 1 372.96000 cents 2: 9 165.94000 cents 2: 2 455.93000 cents 3: 8 248.91000 cents 3: 3 538.90000 cents 4: 7 331.88000 cents 4: 4 621.87000 cents 5: 6 414.85000 cents 5: 5 704.84000 cents 6: 5 497.82000 cents 6: 6 787.81000 cents 7: 4 580.79000 cents 7: 7 870.78000 cents 8: 3 663.76000 cents 8: 8 953.75000 cents 9: 2 746.73000 cents 9: 9 1036.72000 cents 10: 1 829.70000 cents 10: 10 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 0.0 : 83.0 165.9 248.9 331.9 414.8 787.8 870.8 953.8 1036.7 1119.7 1202.7 83.0 : 83.0 165.9 248.9 331.9 704.8 787.8 870.8 953.8 1036.7 1119.7 1202.7 165.9 : 83.0 165.9 248.9 621.9 704.8 787.8 870.8 953.8 1036.7 1119.7 1202.7 248.9 : 83.0 165.9 538.9 621.9 704.8 787.8 870.8 953.8 1036.7 1119.7 1202.7 331.9 : 83.0 455.9 538.9 621.9 704.8 787.8 870.8 953.8 1036.7 1119.7 1202.7 414.8 : 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 1202.7 870.8 : 83.0 165.9 248.9 331.9 414.9 497.8 580.8 663.8 746.7 1119.7 1202.7 953.8 : 83.0 165.9 248.9 331.9 414.9 497.8 580.8 663.8 1036.7 1119.7 1202.7 1036.7: 83.0 165.9 248.9 331.9 414.8 497.8 580.8 953.8 1036.7 1119.7 1202.7 1119.7: 83.0 165.9 248.9 331.9 414.9 497.8 870.8 953.8 1036.7 1119.7 1202.7 1202.7
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 82.9700 .. 372.9600 cents 289.99000 cents 82.97000 cents 2: 165.9400 .. 455.9300 cents 289.99000 cents -207.02000 cents 3: 248.9100 .. 538.9000 cents 289.99000 cents -207.02000 cents 4: 331.8800 .. 621.8700 cents 289.99000 cents -207.02000 cents 5: 414.8500 .. 704.8400 cents 289.99000 cents -207.02000 cents 6: 497.8200 .. 787.8100 cents 289.99000 cents -207.02000 cents 7: 580.7900 .. 870.7800 cents 289.99000 cents -207.02000 cents 8: 663.7600 .. 953.7500 cents 289.99000 cents -207.02000 cents 9: 746.7300 .. 1036.7200 cents 289.99000 cents -207.02000 cents 10: 829.7000 .. 1119.6900 cents 289.99000 cents -207.02000 cents
SHOW DATA
Number of notes : 11 -- Interval properties -- Smallest interval : 82.97000 cents, class 1 Average step (divided formal octave): 109.3327 cents Largest one step interval : 372.96000 cents Average / Smallest step : 1.317738 Largest / Average step : 3.411238 Largest / Smallest step : 4.495119 Median interval of one step : 82.97000 cents, amount: 10 Most common interval of one step : 82.97000 cents, amount: 10 Least squares average step : 112.19824 cents, oct.: 1234.18065 cents Scale is not proper Scale has Myhill's property chromas: 289.99000 cents and 207.02000 cents, ratio: 1.400783 generators: 1 of 82.97000 cents and 10 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: 99 198 297 396 495 940 1039 1138 1237 1336 1435 generators: 99 and 1336 Number of contiguous 1-step segments: 0 Step pattern alph. order: AAAAABAAAAA Step pattern size order : SSSSSLSSSSS Scale is a Constant Structure, by a margin of 41.08000 cents Scale diversity : 1.218516 Lumma stability : 0.137977 Lumma impropriety factor : 0.724045 Rothenberg efficiency : 0.727273 redundancy: 0.272727 Efficiency x scale size : 8.000000 Number of different interval sizes : 20 = 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: 10 Scale is a chain of 5 triads 0.0 414.850 1119.690 cents Number of recognisable fifths : 5, average 704.8400 cents Number of recognisable fourths : 5, average 497.8200 cents Scale contains two identical disjunct hexachords Formal octave complements present : 11 = 100.0000% 2/1 octave complements present : 0 = 0.0000% Inversional symmetry on degrees : 0 Inversional symmetry on intervals : 5-6 -- Rational properties --
FIT/MODE
11: 1 1 0 1 1 3 1 1 0 1 1 N I SD: 29.8790 c. M:-52.7255 c. 14: 1 1 1 1 1 4 1 1 1 1 1 N M DE I SD: 9.2790 c. M:-14.6714 c. 15: 1 1 1 1 1 5 1 1 1 1 1 N M DE I SD: 8.8312 c. M:-13.9633 c. 29: 2 2 2 2 2 9 2 2 2 2 2 N M DE I SD: 0.0883 c. M:-0.1397 c. 768: 53 53 53 53 53 238 53 53 53 53 53 N M DE I SD: 0.0824 c. M:-0.1303 c. 797: 55 55 55 55 55 247 55 55 55 55 55 N M DE I SD: 0.0762 c. M:-0.1205 c. 826: 57 57 57 57 57 256 57 57 57 57 57 N M DE I SD: 0.0704 c. M:-0.1114 c. 855: 59 59 59 59 59 265 59 59 59 59 59 N M DE I SD: 0.0651 c. M:-0.1029 c. 884: 61 61 61 61 61 274 61 61 61 61 61 N M DE I SD: 0.0600 c. M:-0.0949 c. 913: 63 63 63 63 63 283 63 63 63 63 63 N M DE I SD: 0.0553 c. M:-0.0875 c. 942: 65 65 65 65 65 292 65 65 65 65 65 N M DE I SD: 0.0509 c. M:-0.0805 c. 971: 67 67 67 67 67 301 67 67 67 67 67 N M DE I SD: 0.0467 c. M:-0.0739 c. 1000: 69 69 69 69 69 310 69 69 69 69 69 N M DE I SD: 0.0428 c. M:-0.0677 c. 1029: 71 71 71 71 71 319 71 71 71 71 71 N M DE I SD: 0.0391 c. M:-0.0619 c. 1058: 73 73 73 73 73 328 73 73 73 73 73 N M DE I SD: 0.0356 c. M:-0.0563 c. 1087: 75 75 75 75 75 337 75 75 75 75 75 N M DE I SD: 0.0323 c. M:-0.0511 c. 1116: 77 77 77 77 77 346 77 77 77 77 77 N M DE I SD: 0.0292 c. M:-0.0461 c. 1145: 79 79 79 79 79 355 79 79 79 79 79 N M DE I SD: 0.0262 c. M:-0.0414 c. 1174: 81 81 81 81 81 364 81 81 81 81 81 N M DE I SD: 0.0234 c. M:-0.0370 c. 1203: 83 83 83 83 83 373 83 83 83 83 83 N M DE I SD: 0.0207 c. M:-0.0327 c. 1232: 85 85 85 85 85 382 85 85 85 85 85 N M DE I SD: 0.0181 c. M:-0.0287 c. 1261: 87 87 87 87 87 391 87 87 87 87 87 N M DE I SD: 0.0157 c. M:-0.0248 c. 1290: 89 89 89 89 89 400 89 89 89 89 89 N M DE I SD: 0.0133 c. M:-0.0211 c. 1319: 91 91 91 91 91 409 91 91 91 91 91 N M DE I SD: 0.0111 c. M:-0.0176 c. 1348: 93 93 93 93 93 418 93 93 93 93 93 N M DE I SD: 0.0090 c. M:-0.0142 c. 1377: 95 95 95 95 95 427 95 95 95 95 95 N M DE I SD: 0.0069 c. M:-0.0109 c. 1406: 97 97 97 97 97 436 97 97 97 97 97 N M DE I SD: 0.0049 c. M:-0.0078 c. 1435: 99 99 99 99 99 445 99 99 99 99 99 N M DE I SD: 0.0031 c. M:-0.0048 c. 1464: 101 101 101 101 101 454 101 101 101 101 101 N M DE I SD: 0.0013 c. M:-0.0020 c. 1493: 103 103 103 103 103 463 103 103 103 103 103 N M DE I SD: 0.0005 c. M:-0.0008 c.
FIT/HARMONIC
1 x x x x x x x x x x 2 S SD: 2.6600 cents 2 x x x x x 3 x x x x 4 S SD: 42.9481 cents 3 x x x x 4 x 5 x x x 6 S SD: 28.1126 cents 4 x x x x 5:6 x 7 x x 8 S SD: 22.9398 cents 5 x x x 6 x 8 x x 9 x 10 S SD: 9.0349 cents 6 x x 7 x 8:9:10 x 11 x 12 S SD: 20.3895 cents 7 x x 8 x 9:11 x 12:13 x 14 SD: 8.1790 cents 8 x 9 x x 10 x 13:14 x 15:16 SD: 11.0465 cents 9 x 10 x 11 x 14:15 x 16:17:18 SD: 8.1142 cents 10 x 11 x 12:13:16 x 17:18:19:20 SD: 8.0634 cents 11 x 12:13 x 14:17:18:19:20:21:22 SD: 6.5084 cents 12 x 13:14 x 15:19:20:21:22:23:24 SD: 5.6311 cents 13 x 14:15:16:17:20:22:23:24:25:26 SD: 9.9658 cents 14:15 x 16:17:18:22:23:24:25:27:28 SD: 6.3607 cents 15:16 x 17:18:19:24:25:26:27:29:30 SD: 6.2105 cents 16:17:18 x 19:20:25:26:28:29:31:32 SD: 7.7421 cents 17:18:19:20:21:22:27:28:29:31:32:34 SD: 6.9566 cents 18:19:20:21:22:23:28:30:31:33:34:36 SD: 4.4729 cents 19:20:21:22:23:24:30:31:33:35:36:38 SD: 3.3963 cents 33:35:36:38:40:42:52:55:57:60:63:66 SD: 2.6866 cents 37:39:41:43:45:47:58:61:64:67:71:74 SD: 2.3805 cents 38:40:42:44:46:48:60:63:66:69:73:76 SD: 1.7927 cents 52:55:57:60:63:66:82:86:90:95:99:104 SD: 1.6933 cents 57:60:63:66:69:72:90:94:99:104:109:114 SD: 1.5466 cents 60:63:66:69:73:76:95:99:104:109:115:120 SD: 1.5188 cents 63:66:69:73:76:80:99:104:109:115:120:126 SD: 1.5123 cents 66:69:73:76:80:84:104:109:114:120:126:132 SD: 1.3249 cents 77:81:85:89:93:98:121:127:134:140:147:154 SD: 1.1948 cents 78:82:86:90:94:99:123:129:135:142:149:156 SD: 1.0439 cents 89:93:98:103:108:113:140:147:154:162:170:178 SD: 0.9972 cents 90:94:99:104:109:114:142:149:156:164:172:180 SD: 0.9814 cents 99:104:109:114:120:126:156:164:172:180:189:198 SD: 0.7173 cents 118:124:130:136:143:150:186:195:205:215:225:236 SD: 0.6145 cents 141:148:155:163:171:179:222:233:245:257:269:282 SD: 0.6124 cents 156:164:172:180:189:198:246:258:271:284:298:312 SD: 0.5933 cents 161:169:177:186:195:205:254:266:279:293:307:322 SD: 0.5598 cents 162:170:178:187:196:206:255:268:281:295:309:324 SD: 0.5111 cents 180:189:198:208:218:229:284:298:312:328:344:361 SD: 0.4951 cents 181:190:199:209:219:230:285:299:314:329:346:363 SD: 0.4837 cents 188:197:207:217:228:239:296:311:326:342:359:377 SD: 0.3970 cents 199:209:219:230:241:253:314:329:345:362:380:399 SD: 0.3603 cents 200:210:220:231:242:254:315:331:347:364:382:401 SD: 0.3537 cents 222:233:244:256:269:282:350:367:385:404:424:445 SD: 0.3443 cents 240:252:264:277:291:305:378:397:416:437:458:481 SD: 0.3316 cents 260:273:286:300:315:330:410:430:451:473:496:521 SD: 0.3258 cents 265:278:292:306:321:337:418:438:460:482:506:531 SD: 0.2941 cents 266:279:293:307:322:338:419:440:461:484:508:533 SD: 0.2781 cents 298:313:328:344:361:379:470:493:517:542:569:597 SD: 0.2779 cents 306:321:337:353:371:389:482:506:531:557:584:613 SD: 0.2718 cents 309:324:340:357:374:393:487:511:536:562:590:619 SD: 0.2507 cents 328:344:361:379:397:417:517:542:569:597:626:657 SD: 0.2318 cents 350:367:385:404:424:445:552:579:607:637:668:701 SD: 0.2011 cents 369:387:406:426:447:469:582:610:640:672:705:739 SD: 0.1996 cents 387:406:426:447:469:492:610:640:671:704:739:775 SD: 0.1716 cents 388:407:427:448:470:493:612:642:673:706:741:777 SD: 0.1605 cents 407:427:448:470:493:517:642:673:706:741:777:815 SD: 0.1546 cents 506:531:557:584:613:643:798:837:878:921:966:1014 SD: 0.1513 cents 517:542:569:597:626:657:815:855:897:941:987:1036 SD: 0.1461 cents 550:577:605:635:666:699:867:910:954:1001:1050:1102 SD: 0.1442 cents 569:597:626:657:689:723:897:941:987:1036:1086:1140 SD: 0.1298 cents 588:617:647:679:712:747:927:972:1020:1070:1123:1178 SD: 0.1222 cents 595:624:655:687:721:756:938:984:1032:1083:1136:1192 SD: 0.1030 cents