Scala analysis: xen18-erlich-nautilus-10
1L 9s MOS for Nautilus, L=455.93, 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: 870.780 cents 870.780000 7: 953.750 cents 953.750000 8: 1036.720 cents 1036.720000 9: 1119.690 cents 1119.690000 10: 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: 455.9300 cents 455.9300 7: 82.9700 cents 82.9700 8: 82.9700 cents 82.9700 9: 82.9700 cents 82.9700 10: 82.9700 cents 82.9700
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 9 82.97000 cents 1: 1 455.93000 cents 2: 8 165.94000 cents 2: 2 538.90000 cents 3: 7 248.91000 cents 3: 3 621.87000 cents 4: 6 331.88000 cents 4: 4 704.84000 cents 5: 5 414.85000 cents 5: 5 787.81000 cents 6: 4 497.82000 cents 6: 6 870.78000 cents 7: 3 580.79000 cents 7: 7 953.75000 cents 8: 2 663.76000 cents 8: 8 1036.72000 cents 9: 1 746.73000 cents 9: 9 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 0.0 : 83.0 165.9 248.9 331.9 414.8 870.8 953.8 1036.7 1119.7 1202.7 83.0 : 83.0 165.9 248.9 331.9 787.8 870.8 953.8 1036.7 1119.7 1202.7 165.9 : 83.0 165.9 248.9 704.8 787.8 870.8 953.8 1036.7 1119.7 1202.7 248.9 : 83.0 165.9 621.9 704.8 787.8 870.8 953.8 1036.7 1119.7 1202.7 331.9 : 83.0 538.9 621.9 704.8 787.8 870.8 953.8 1036.7 1119.7 1202.7 414.8 : 455.9 538.9 621.9 704.8 787.8 870.8 953.8 1036.7 1119.7 1202.7 870.8 : 83.0 165.9 248.9 331.9 414.9 497.8 580.8 663.8 746.7 1202.7 953.8 : 83.0 165.9 248.9 331.9 414.9 497.8 580.8 663.8 1119.7 1202.7 1036.7: 83.0 165.9 248.9 331.9 414.8 497.8 580.8 1036.7 1119.7 1202.7 1119.7: 83.0 165.9 248.9 331.9 414.9 497.8 953.8 1036.7 1119.7 1202.7 1202.7
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 82.9700 .. 455.9300 cents 372.96000 cents 82.97000 cents 2: 165.9400 .. 538.9000 cents 372.96000 cents -289.99000 cents 3: 248.9100 .. 621.8700 cents 372.96000 cents -289.99000 cents 4: 331.8800 .. 704.8400 cents 372.96000 cents -289.99000 cents 5: 414.8500 .. 787.8100 cents 372.96000 cents -289.99000 cents 6: 497.8200 .. 870.7800 cents 372.96000 cents -289.99000 cents 7: 580.7900 .. 953.7500 cents 372.96000 cents -289.99000 cents 8: 663.7600 .. 1036.7200 cents 372.96000 cents -289.99000 cents 9: 746.7300 .. 1119.6900 cents 372.96000 cents -289.99000 cents
SHOW DATA
Number of notes : 10 -- Interval properties -- Smallest interval : 82.97000 cents, class 1 Average step (divided formal octave): 120.2660 cents Largest one step interval : 455.93000 cents Average / Smallest step : 1.449512 Largest / Average step : 3.791013 Largest / Smallest step : 5.495119 Median interval of one step : 82.97000 cents, amount: 9 Most common interval of one step : 82.97000 cents, amount: 9 Least squares average step : 121.71909 cents, oct.: 1217.19091 cents Scale is not proper Scale has Myhill's property chromas: 372.96000 cents and 289.99000 cents, ratio: 1.286113 generators: 1 of 82.97000 cents and 9 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 1039 1138 1237 1336 1435 generators: 99 and 1336 Number of contiguous 1-step segments: 0 Step pattern alph. order: AAAAABAAAA Step pattern size order : SSSSSLSSSS Scale is a Constant Structure, by a margin of 41.08000 cents Scale diversity : 1.232163 Lumma stability : 0.137977 Lumma impropriety factor : 0.724045 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 : 41.08000 cents Most common intervals : 82.97000 cents & inv., amount: 9 Scale is a chain of 5 triads 0.0 331.880 1119.690 cents Number of recognisable fifths : 4, average 704.8400 cents Number of recognisable fourths : 4, average 497.8200 cents 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 0 1 1 0 4 1 1 0 1 N SD: 34.1888 c. M: 54.0520 c. 11: 1 1 0 1 1 4 1 1 0 1 N SD: 31.2079 c. M:-56.6073 c. 12: 1 1 0 1 1 5 1 0 1 1 N SD: 31.3336 c. M:-48.4667 c. 13: 1 1 1 1 0 5 1 1 1 1 N SD: 27.3321 c. M: 44.8008 c. 14: 1 1 1 1 1 5 1 1 1 1 N M DE SD: 8.5548 c. M:-14.6714 c. 15: 1 1 1 1 1 6 1 1 1 1 N M DE SD: 8.1420 c. M: 13.9633 c. 29: 2 2 2 2 2 11 2 2 2 2 N M DE SD: 0.0814 c. M: 0.1397 c. 768: 53 53 53 53 53 291 53 53 53 53 N M DE SD: 0.0760 c. M:-0.1303 c. 797: 55 55 55 55 55 302 55 55 55 55 N M DE SD: 0.0703 c. M:-0.1205 c. 826: 57 57 57 57 57 313 57 57 57 57 N M DE SD: 0.0649 c. M:-0.1114 c. 855: 59 59 59 59 59 324 59 59 59 59 N M DE SD: 0.0600 c. M:-0.1029 c. 884: 61 61 61 61 61 335 61 61 61 61 N M DE SD: 0.0553 c. M:-0.0949 c. 913: 63 63 63 63 63 346 63 63 63 63 N M DE SD: 0.0510 c. M:-0.0875 c. 942: 65 65 65 65 65 357 65 65 65 65 N M DE SD: 0.0469 c. M:-0.0805 c. 971: 67 67 67 67 67 368 67 67 67 67 N M DE SD: 0.0431 c. M:-0.0739 c. 1000: 69 69 69 69 69 379 69 69 69 69 N M DE SD: 0.0395 c. M:-0.0677 c. 1029: 71 71 71 71 71 390 71 71 71 71 N M DE SD: 0.0361 c. M:-0.0619 c. 1058: 73 73 73 73 73 401 73 73 73 73 N M DE SD: 0.0328 c. M:-0.0563 c. 1087: 75 75 75 75 75 412 75 75 75 75 N M DE SD: 0.0298 c. M:-0.0511 c. 1116: 77 77 77 77 77 423 77 77 77 77 N M DE SD: 0.0269 c. M:-0.0461 c. 1145: 79 79 79 79 79 434 79 79 79 79 N M DE SD: 0.0242 c. M:-0.0414 c. 1174: 81 81 81 81 81 445 81 81 81 81 N M DE SD: 0.0216 c. M:-0.0370 c. 1203: 83 83 83 83 83 456 83 83 83 83 N M DE SD: 0.0191 c. M:-0.0327 c. 1232: 85 85 85 85 85 467 85 85 85 85 N M DE SD: 0.0167 c. M:-0.0287 c. 1261: 87 87 87 87 87 478 87 87 87 87 N M DE SD: 0.0145 c. M:-0.0248 c. 1290: 89 89 89 89 89 489 89 89 89 89 N M DE SD: 0.0123 c. M:-0.0211 c. 1319: 91 91 91 91 91 500 91 91 91 91 N M DE SD: 0.0102 c. M:-0.0176 c. 1348: 93 93 93 93 93 511 93 93 93 93 N M DE SD: 0.0083 c. M:-0.0142 c. 1377: 95 95 95 95 95 522 95 95 95 95 N M DE SD: 0.0064 c. M:-0.0109 c. 1406: 97 97 97 97 97 533 97 97 97 97 N M DE SD: 0.0046 c. M:-0.0078 c. 1435: 99 99 99 99 99 544 99 99 99 99 N M DE SD: 0.0028 c. M:-0.0048 c. 1464: 101 101 101 101 101 555 101 101 101 101 N M DE SD: 0.0012 c. M:-0.0020 c. 1493: 103 103 103 103 103 566 103 103 103 103 N M DE SD: 0.0004 c. M: 0.0008 c.
FIT/HARMONIC
1 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 4 S SD: 84.4230 cents 3 x x x x 4:5 x x x 6 S SD: 28.1126 cents 4 x x x x 5 x 7 x x 8 SD: 10.7944 cents 5 x x x 6 x 8 x 9 x 10 S SD: 15.6048 cents 6 x x 7 x 8:10 x 11 x 12 S SD: 17.4302 cents 7 x x 8 x 9 x 12:13 x 14 S SD: 9.7571 cents 8 x 9 x x 10:13:14 x 15:16 SD: 11.0465 cents 9 x 10 x 11 x 15 x 16:17:18 SD: 8.6635 cents 10 x 11 x 12:13 x 17:18:19:20 SD: 8.4414 cents 11 x 12:13 x 14:18:19:20:21:22 SD: 5.9468 cents 12 x 13:14 x 15:20:21:22:23:24 S SD: 6.2605 cents 13 x 14:15:16:17:22:23:24:25:26 SD: 10.0405 cents 14:15 x 16:17:18:23:24:25:27:28 SD: 7.0427 cents 15:16 x 17:18:19:25:26:27:29:30 SD: 6.2730 cents 16:17:18 x 19:20:26:28:29:31:32 SD: 8.4353 cents 17:18:19:20:21:22:28:29:31:32:34 SD: 7.5394 cents 18:19:20:21:22:23:30:31:33:34:36 SD: 4.3551 cents 19:20:21:22:23:24:31:33:35:36:38 SD: 3.7243 cents 32:34:35:37:39:41:53:56:58:61:64 SD: 3.4943 cents 33:35:36:38:40:42:55:57:60:63:66 SD: 2.9547 cents 37:39:41:43:45:47:61:64:67:71:74 SD: 2.4372 cents 38:40:42:44:46:48:63:66:69:73:76 SD: 1.9498 cents 52:55:57:60:63:66:86:90:95:99:104 SD: 1.8612 cents 57:60:63:66:69:72:94:99:104:109:114 SD: 1.6756 cents 58:61:64:67:70:74:96:101:106:111:116 SD: 1.5741 cents 60:63:66:69:73:76:99:104:109:115:120 SD: 1.4802 cents 66:69:73:76:80:84:109:114:120:126:132 SD: 1.4564 cents 67:70:74:77:81:85:111:116:122:128:134 SD: 1.4290 cents 77:81:85:89:93:98:127:134:140:147:154 SD: 1.2018 cents 78:82:86:90:94:99:129:135:142:149:156 SD: 1.1460 cents 89:93:98:103:108:113:147:154:162:170:178 SD: 1.0379 cents 98:103:108:113:119:125:162:170:178:187:196 SD: 1.0055 cents 99:104:109:114:120:126:164:172:180:189:198 SD: 0.7871 cents 118:124:130:136:143:150:195:205:215:225:236 SD: 0.6759 cents 122:128:134:141:148:155:202:212:222:233:244 SD: 0.6509 cents 141:148:155:163:171:179:233:245:257:269:282 SD: 0.6441 cents 161:169:177:186:195:205:266:279:293:307:322 SD: 0.5970 cents 162:170:178:187:196:206:268:281:295:309:324 SD: 0.5081 cents 181:190:199:209:219:230:299:314:329:346:363 SD: 0.4991 cents 188:197:207:217:228:239:311:326:342:359:377 SD: 0.3896 cents 199:209:219:230:241:253:329:345:362:380:399 SD: 0.3538 cents 240:252:264:277:291:305:397:416:437:458:481 SD: 0.3373 cents 265:278:292:306:321:337:438:460:482:506:531 SD: 0.3003 cents 266:279:293:307:322:338:440:461:484:508:533 SD: 0.2822 cents 289:303:318:334:350:367:478:501:526:552:579 SD: 0.2777 cents 306:321:337:353:371:389:506:531:557:584:613 SD: 0.2734 cents 317:333:349:366:384:403:524:550:577:605:635 SD: 0.2664 cents 328:344:361:379:397:417:542:569:597:626:657 SD: 0.2549 cents 350:367:385:404:424:445:579:607:637:668:701 SD: 0.1990 cents 369:387:406:426:447:469:610:640:672:705:739 SD: 0.1919 cents 387:406:426:447:469:492:640:671:704:739:775 SD: 0.1888 cents 388:407:427:448:470:493:642:673:706:741:777 SD: 0.1332 cents 407:427:448:470:493:517:673:706:741:777:815 SD: 0.1160 cents 595:624:655:687:721:756:984:1032:1083:1136:1192 SD: 0.1110 cents