Scala analysis: xen18-erlich-nautilus-15
14L 1s MOS for Nautilus, L=82.97, s=41.08
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: 580.790 cents 580.790000 8: 621.870 cents 621.870000 9: 704.840 cents 704.840000 10: 787.810 cents 787.810000 11: 870.780 cents 870.780000 12: 953.750 cents 953.750000 13: 1036.720 cents 1036.720000 14: 1119.690 cents 1119.690000 15: 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: 82.9700 cents 82.9700 8: 41.0800 cents 41.0800 9: 82.9700 cents 82.9700 10: 82.9700 cents 82.9700 11: 82.9700 cents 82.9700 12: 82.9700 cents 82.9700 13: 82.9700 cents 82.9700 14: 82.9700 cents 82.9700 15: 82.9700 cents 82.9700
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 41.08000 cents 1: 14 82.97000 cents 2: 2 124.05000 cents 2: 13 165.94000 cents 3: 3 207.02000 cents 3: 12 248.91000 cents 4: 4 289.99000 cents 4: 11 331.88000 cents 5: 5 372.96000 cents 5: 10 414.85000 cents 6: 6 455.93000 cents 6: 9 497.82000 cents 7: 7 538.90000 cents 7: 8 580.79000 cents 8: 8 621.87000 cents 8: 7 663.76000 cents 9: 9 704.84000 cents 9: 6 746.73000 cents 10: 10 787.81000 cents 10: 5 829.70000 cents 11: 11 870.78000 cents 11: 4 912.67000 cents 12: 12 953.75000 cents 12: 3 995.64000 cents 13: 13 1036.72000 cents 13: 2 1078.61000 cents 14: 14 1119.69000 cents 14: 1 1161.58000 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 13 14 15 0.0 : 83.0 165.9 248.9 331.9 414.8 497.8 580.8 621.9 704.8 787.8 870.8 953.8 1036.7 1119.7 1202.7 83.0 : 83.0 165.9 248.9 331.9 414.8 497.8 538.9 621.9 704.8 787.8 870.8 953.8 1036.7 1119.7 1202.7 165.9 : 83.0 165.9 248.9 331.9 414.8 455.9 538.9 621.9 704.8 787.8 870.8 953.8 1036.7 1119.7 1202.7 248.9 : 83.0 165.9 248.9 331.9 373.0 455.9 538.9 621.9 704.8 787.8 870.8 953.8 1036.7 1119.7 1202.7 331.9 : 83.0 165.9 248.9 290.0 373.0 455.9 538.9 621.9 704.8 787.8 870.8 953.8 1036.7 1119.7 1202.7 414.8 : 83.0 165.9 207.0 290.0 373.0 455.9 538.9 621.9 704.8 787.8 870.8 953.8 1036.7 1119.7 1202.7 497.8 : 83.0 124.0 207.0 290.0 373.0 455.9 538.9 621.9 704.8 787.8 870.8 953.8 1036.7 1119.7 1202.7 580.8 : 41.1 124.0 207.0 290.0 373.0 455.9 538.9 621.9 704.8 787.8 870.8 953.8 1036.7 1119.7 1202.7 621.9 : 83.0 165.9 248.9 331.9 414.8 497.8 580.8 663.8 746.7 829.7 912.7 995.6 1078.6 1161.6 1202.7 704.8 : 83.0 165.9 248.9 331.9 414.8 497.8 580.8 663.8 746.7 829.7 912.7 995.6 1078.6 1119.7 1202.7 787.8 : 83.0 165.9 248.9 331.9 414.9 497.8 580.8 663.8 746.7 829.7 912.7 995.6 1036.7 1119.7 1202.7 870.8 : 83.0 165.9 248.9 331.9 414.9 497.8 580.8 663.8 746.7 829.7 912.7 953.8 1036.7 1119.7 1202.7 953.8 : 83.0 165.9 248.9 331.9 414.9 497.8 580.8 663.8 746.7 829.7 870.8 953.8 1036.7 1119.7 1202.7 1036.7: 83.0 165.9 248.9 331.9 414.8 497.8 580.8 663.8 746.7 787.8 870.8 953.8 1036.7 1119.7 1202.7 1119.7: 83.0 165.9 248.9 331.9 414.9 497.8 580.8 663.8 704.8 787.8 870.8 953.8 1036.7 1119.7 1202.7 1202.7
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 41.0800 .. 82.9700 cents 41.89000 cents 41.08000 cents 2: 124.0500 .. 165.9400 cents 41.89000 cents 41.08000 cents 3: 207.0200 .. 248.9100 cents 41.89000 cents 41.08000 cents 4: 289.9900 .. 331.8800 cents 41.89000 cents 41.08000 cents 5: 372.9600 .. 414.8500 cents 41.89000 cents 41.08000 cents 6: 455.9300 .. 497.8200 cents 41.89000 cents 41.08000 cents 7: 538.9000 .. 580.7900 cents 41.89000 cents 41.08000 cents 8: 621.8700 .. 663.7600 cents 41.89000 cents 41.08000 cents 9: 704.8400 .. 746.7300 cents 41.89000 cents 41.08000 cents 10: 787.8100 .. 829.7000 cents 41.89000 cents 41.08000 cents 11: 870.7800 .. 912.6700 cents 41.89000 cents 41.08000 cents 12: 953.7500 .. 995.6400 cents 41.89000 cents 41.08000 cents 13: 1036.7200 .. 1078.6100 cents 41.89000 cents 41.08000 cents 14: 1119.6900 .. 1161.5800 cents 41.89000 cents 41.08000 cents
SHOW DATA
Number of notes : 15 -- Interval properties -- Smallest interval : 41.08000 cents, class 1 Average step (divided formal octave): 80.1773 cents Largest one step interval : 82.97000 cents Average / Smallest step : 1.951736 Largest / Average step : 1.034831 Largest / Smallest step : 2.019718 Median interval of one step : 82.97000 cents, amount: 14 Most common interval of one step : 82.97000 cents, amount: 14 Least squares average step : 79.86203 cents, oct.: 1197.93048 cents Scale is strictly proper Scale has Myhill's property chromas: 41.89000 cents and 0.81000 cents, ratio: 51.716049 generators: 1 of 82.97000 cents and 14 of 1119.69000 cents ET pair of linear temperament : 14&29 Scale is distributional even Scale is a mode of a 1464-tone equal temperament with octave 1202.660 cents degrees: 101 202 303 404 505 606 707 757 858 959 1060 1161 1262 1363 1464 generators: 101 and 1363 Number of contiguous 1-step segments: 0 Step pattern alph. order: AAAAAAABAAAAAAA Step pattern size order : LLLLLLLSLLLLLLL Scale is a Constant Structure, by a margin of 41.08000 cents Scale diversity : 1.241734 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.512364 Rothenberg efficiency : 0.711111 redundancy: 0.288889 Efficiency x scale size : 10.666667 Number of different interval sizes : 28 = 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: 14 Scale is a chain of 7 triads 0.0 580.790 1119.690 cents Most common triad is 0.0 82.970 1119.690 cents, amount: 13 Number of recognisable fifths : 9, average 704.8400 cents Number of recognisable fourths : 9, average 497.8200 cents Scale contains two identical disjunct heptachords Best minor thirds form a closed circle Formal octave complements present : 15 = 100.0000% 2/1 octave complements present : 0 = 0.0000% Inversional symmetry on degrees : 0 Inversional symmetry on intervals : 7-8 -- Rational properties --
FIT/MODE
15: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 SP B ME I SD: 12.0657 c. M:-19.5487 c. 29: 2 2 2 2 2 2 2 1 2 2 2 2 2 2 2 SP M ME I SD: 0.1207 c. M: 0.1955 c. 768: 53 53 53 53 53 53 53 26 53 53 53 53 53 53 53 SP M DE I SD: 0.1126 c. M:-0.1825 c. 797: 55 55 55 55 55 55 55 27 55 55 55 55 55 55 55 SP M DE I SD: 0.1041 c. M:-0.1687 c. 826: 57 57 57 57 57 57 57 28 57 57 57 57 57 57 57 SP M DE I SD: 0.0962 c. M: 0.1559 c. 855: 59 59 59 59 59 59 59 29 59 59 59 59 59 59 59 SP M DE I SD: 0.0889 c. M:-0.1440 c. 884: 61 61 61 61 61 61 61 30 61 61 61 61 61 61 61 SP M DE I SD: 0.0820 c. M:-0.1329 c. 913: 63 63 63 63 63 63 63 31 63 63 63 63 63 63 63 SP M DE I SD: 0.0756 c. M:-0.1224 c. 942: 65 65 65 65 65 65 65 32 65 65 65 65 65 65 65 SP M DE I SD: 0.0695 c. M:-0.1127 c. 971: 67 67 67 67 67 67 67 33 67 67 67 67 67 67 67 SP M DE I SD: 0.0639 c. M:-0.1035 c. 1000: 69 69 69 69 69 69 69 34 69 69 69 69 69 69 69 SP M DE I SD: 0.0585 c. M:-0.0948 c. 1029: 71 71 71 71 71 71 71 35 71 71 71 71 71 71 71 SP M DE I SD: 0.0534 c. M:-0.0866 c. 1058: 73 73 73 73 73 73 73 36 73 73 73 73 73 73 73 SP M DE I SD: 0.0487 c. M: 0.0789 c. 1087: 75 75 75 75 75 75 75 37 75 75 75 75 75 75 75 SP M DE I SD: 0.0442 c. M:-0.0715 c. 1116: 77 77 77 77 77 77 77 38 77 77 77 77 77 77 77 SP M DE I SD: 0.0399 c. M:-0.0646 c. 1145: 79 79 79 79 79 79 79 39 79 79 79 79 79 79 79 SP M DE I SD: 0.0358 c. M:-0.0580 c. 1174: 81 81 81 81 81 81 81 40 81 81 81 81 81 81 81 SP M DE I SD: 0.0319 c. M:-0.0518 c. 1203: 83 83 83 83 83 83 83 41 83 83 83 83 83 83 83 SP M DE I SD: 0.0283 c. M: 0.0458 c. 1232: 85 85 85 85 85 85 85 42 85 85 85 85 85 85 85 SP M DE I SD: 0.0248 c. M:-0.0401 c. 1261: 87 87 87 87 87 87 87 43 87 87 87 87 87 87 87 SP M DE I SD: 0.0214 c. M: 0.0347 c. 1290: 89 89 89 89 89 89 89 44 89 89 89 89 89 89 89 SP M DE I SD: 0.0182 c. M:-0.0295 c. 1319: 91 91 91 91 91 91 91 45 91 91 91 91 91 91 91 SP M DE I SD: 0.0152 c. M:-0.0246 c. 1348: 93 93 93 93 93 93 93 46 93 93 93 93 93 93 93 SP M DE I SD: 0.0122 c. M:-0.0198 c. 1377: 95 95 95 95 95 95 95 47 95 95 95 95 95 95 95 SP M DE I SD: 0.0094 c. M: 0.0153 c. 1406: 97 97 97 97 97 97 97 48 97 97 97 97 97 97 97 SP M DE I SD: 0.0068 c. M: 0.0110 c. 1435: 99 99 99 99 99 99 99 49 99 99 99 99 99 99 99 SP M DE I SD: 0.0042 c. M:-0.0068 c. 1464: 101 101 101 101 101 101 101 50 101 101 101 101 101 101 101 SP M DE I SD: 0.0017 c. M:-0.0028 c. 1493: 103 103 103 103 103 103 103 51 103 103 103 103 103 103 103 SP M DE I SD: 0.0007 c. M: 0.0011 c.
FIT/HARMONIC
1 x x x x x x x x x x x x x x 2 S SD: 2.6600 cents 2 x x x x x x x x 3 x x x x x 4 S SD: 1.9621 cents 3 x x x x x 4 x x x x 5 x x x 6 S SD: 4.6129 cents 4 x x x x 5 x x x 6 x x 7 x x 8 S SD: 8.1279 cents 5 x x x 6 x x 7 x x 8 x x 9 x 10 S SD: 7.2361 cents 6 x x 7 x x 8 x x 9 x 10 x 11 x 12 S SD: 4.3534 cents 7 x x 8 x 9 x x 10 x 11 x 12:13 x 14 S SD: 7.0385 cents 8 x 9 x x 10 x 11 x 12 x 13:14 x 15:16 S SD: 9.0742 cents 9 x 10 x 11 x 12 x 13 x 14:15 x 16:17:18 S SD: 6.5204 cents 10 x 11 x 12:13 x 14 x 15:16 x 17:18:19:20 S SD: 6.4594 cents 11 x 12:13 x 14:15 x 16 x 17:18:19:20:21:22 S SD: 6.8521 cents 12 x 13:14 x 15:16 x 17:18:19:20:21:22:23:24 S SD: 4.5130 cents 13 x 14:15:16 x 17:18:19:20 x 22:23:24:25:26 S SD: 8.3481 cents 14:15 x 16:17:18:19 x 20:21:22:23:24:25:27:28 SD: 5.4535 cents 15:16 x 17:18:19:20:21 x 23:24:25:26:27:29:30 SD: 5.4916 cents 16:17:18 x 19:20:21:22:23:24:25:26:28:29:31:32 SD: 6.2446 cents 17:18:19:20:21:22:23:24 x 26:27:28:29:31:32:34 SD: 6.2732 cents 18:19:20:21:22:23:24:25:26:27:28:30:31:33:34:36 SD: 3.5229 cents 19:20:21:22:23:24:25 x 27:29:30:31:33:35:36:38 SD: 3.8033 cents 23:24:25:27:28:29:31:32:33:35:36:38:40:42:44:46 SD: 3.5215 cents 24:25:26:28:29:31:32 x 34:36:38:40:42:44:46:48 SD: 3.9673 cents 26:27:29:30:31:33:35:36:37:39:41:43:45:47:50:52 SD: 3.4198 cents 28:29:31:32:34:36:37:39:40:42:44:46:49:51:53:56 SD: 3.1777 cents 30:31:33:35:36:38:40:42:43:45:47:50:52:55:57:60 SD: 2.8719 cents 32:34:35:37:39:41:43:45:46:48:50:53:56:58:61:64 SD: 2.8107 cents 33:35:36:38:40:42:44:46:47:50:52:55:57:60:63:66 SD: 2.3194 cents 37:39:41:43:45:47:49:52:53:56:58:61:64:67:71:74 SD: 2.1588 cents 38:40:42:44:46:48:51:53:54:57:60:63:66:69:73:76 SD: 1.8098 cents 48:50:53:55:58:61:64:67:69:72:76:79:83:87:92:96 SD: 1.7619 cents 52:55:57:60:63:66:69:73:74:78:82:86:90:95:99:104 SD: 1.6128 cents 56:59:62:65:68:71:75:78:80:84:88:93:97:102:107:112 SD: 1.5181 cents 57:60:63:66:69:72:76:80:82:86:90:94:99:104:109:114 SD: 1.3949 cents 58:61:64:67:70:74:77:81:83:87:91:96:101:106:111:116 SD: 1.3025 cents 60:63:66:69:73:76:80:84:86:90:95:99:104:109:115:120 SD: 1.1399 cents 77:81:85:89:93:98:103:108:110:116:121:127:134:140:147:154 SD: 1.0983 cents 78:82:86:90:94:99:104:109:112:117:123:129:135:142:149:156 SD: 0.8494 cents 90:94:99:104:109:114:120:126:129:135:142:149:156:164:172:180 SD: 0.7595 cents 99:104:109:114:120:126:132:138:142:149:156:164:172:180:189:198 SD: 0.7030 cents 118:124:130:136:143:150:157:165:169:177:186:195:205:215:225:236 SD: 0.5417 cents 141:148:155:163:171:179:188:197:202:212:222:233:245:257:269:282 SD: 0.4731 cents 180:189:198:208:218:229:240:252:258:270:284:298:312:328:344:361 SD: 0.4366 cents 181:190:199:209:219:230:241:253:259:272:285:299:314:329:346:363 SD: 0.4023 cents 189:198:208:218:229:240:252:264:271:284:298:313:328:344:361:379 SD: 0.3724 cents 199:209:219:230:241:253:265:278:285:299:314:329:345:362:380:399 SD: 0.3236 cents 240:252:264:277:291:305:320:336:344:361:378:397:416:437:458:481 SD: 0.3120 cents 241:253:265:278:292:306:321:337:345:362:380:399:418:439:460:483 SD: 0.3013 cents 246:258:271:284:298:313:328:344:352:370:388:407:427:448:470:493 SD: 0.2934 cents 266:279:293:307:322:338:355:372:381:400:419:440:461:484:508:533 SD: 0.2576 cents 289:303:318:334:350:367:385:404:414:434:456:478:501:526:552:579 SD: 0.2499 cents 298:313:328:344:361:379:397:417:427:448:470:493:517:542:569:597 SD: 0.2433 cents 306:321:337:353:371:389:408:428:438:460:482:506:531:557:584:613 SD: 0.2187 cents 321:337:353:371:389:408:428:449:460:482:506:531:557:584:613:643 SD: 0.2153 cents 328:344:361:379:397:417:437:459:470:493:517:542:569:597:626:657 SD: 0.2089 cents 366:384:403:423:443:465:488:512:524:550:577:605:635:666:699:733 SD: 0.1746 cents 384:403:423:443:465:488:512:537:550:577:605:635:666:699:733:769 SD: 0.1715 cents 388:407:427:448:470:493:517:543:556:583:612:642:673:706:741:777 SD: 0.1636 cents 444:466:489:513:538:564:592:621:636:667:700:734:770:808:848:889 SD: 0.1621 cents 465:488:512:537:563:591:620:650:666:699:733:769:807:846:888:931 SD: 0.1481 cents 505:530:556:583:612:642:673:706:723:759:796:835:876:919:964:1012 SD: 0.1415 cents 517:542:569:597:626:657:689:723:740:777:815:855:897:941:987:1036 SD: 0.1379 cents 529:555:582:611:641:672:705:740:758:795:834:875:918:963:1010:1060 SD: 0.1317 cents 549:576:604:634:665:698:732:768:786:825:865:908:952:999:1048:1100 SD: 0.1260 cents 555:582:611:641:672:705:740:776:795:834:875:918:963:1010:1060:1112 SD: 0.1217 cents 569:597:626:657:689:723:759:796:815:855:897:941:987:1036:1086:1140 SD: 0.1200 cents 595:624:655:687:721:756:793:832:852:894:938:984:1032:1083:1136:1192 SD: 0.0885 cents