Scala analysis: xen18-erlich-nautilus-08
1L 7s MOS for Nautilus, L=621.87, 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: 953.750 cents 953.750000 6: 1036.720 cents 1036.720000 7: 1119.690 cents 1119.690000 8: 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: 621.8700 cents 621.8700 6: 82.9700 cents 82.9700 7: 82.9700 cents 82.9700 8: 82.9700 cents 82.9700
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 7 82.97000 cents 1: 1 621.87000 cents 2: 6 165.94000 cents 2: 2 704.84000 cents 3: 5 248.91000 cents 3: 3 787.81000 cents 4: 4 331.88000 cents 4: 4 870.78000 cents 5: 3 414.85000 cents 5: 5 953.75000 cents 6: 2 497.82000 cents 6: 6 1036.72000 cents 7: 1 580.79000 cents 7: 7 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 0.0 : 83.0 165.9 248.9 331.9 953.8 1036.7 1119.7 1202.7 83.0 : 83.0 165.9 248.9 870.8 953.8 1036.7 1119.7 1202.7 165.9 : 83.0 165.9 787.8 870.8 953.8 1036.7 1119.7 1202.7 248.9 : 83.0 704.8 787.8 870.8 953.8 1036.7 1119.7 1202.7 331.9 : 621.9 704.8 787.8 870.8 953.8 1036.7 1119.7 1202.7 953.8 : 83.0 165.9 248.9 331.9 414.9 497.8 580.8 1202.7 1036.7: 83.0 165.9 248.9 331.9 414.8 497.8 1119.7 1202.7 1119.7: 83.0 165.9 248.9 331.9 414.9 1036.7 1119.7 1202.7 1202.7
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 82.9700 .. 621.8700 cents 538.90000 cents 82.97000 cents 2: 165.9400 .. 704.8400 cents 538.90000 cents -455.93000 cents 3: 248.9100 .. 787.8100 cents 538.90000 cents -455.93000 cents 4: 331.8800 .. 870.7800 cents 538.90000 cents -455.93000 cents 5: 414.8500 .. 953.7500 cents 538.90000 cents -455.93000 cents 6: 497.8200 .. 1036.7200 cents 538.90000 cents -455.93000 cents 7: 580.7900 .. 1119.6900 cents 538.90000 cents -455.93000 cents
SHOW DATA
Number of notes : 8 -- Interval properties -- Smallest interval : 82.97000 cents, class 1 Average step (divided formal octave): 150.3325 cents Largest one step interval : 621.87000 cents Average / Smallest step : 1.811890 Largest / Average step : 4.136630 Largest / Smallest step : 7.495119 Median interval of one step : 82.97000 cents, amount: 7 Most common interval of one step : 82.97000 cents, amount: 7 Least squares average step : 151.65333 cents, oct.: 1213.22667 cents Scale is not proper Scale has Myhill's property chromas: 538.90000 cents and 455.93000 cents, ratio: 1.181980 generators: 1 of 82.97000 cents and 7 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 1138 1237 1336 1435 generators: 99 and 1336 Number of contiguous 1-step segments: 0 Step pattern alph. order: AAAABAAA Step pattern size order : SSSSLSSS Scale is a Constant Structure, by a margin of 41.08000 cents Scale diversity : 1.291998 Lumma stability : 0.137977 Lumma impropriety factor : 0.724045 Rothenberg efficiency : 0.750000 redundancy: 0.250000 Efficiency x scale size : 6.000000 Number of different interval sizes : 14 = 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: 7 Scale is a chain of 4 triads 0.0 248.910 1119.690 cents Number of recognisable fifths : 2, average 704.8400 cents Number of recognisable fourths : 2, average 497.8200 cents Formal octave complements present : 7 = 87.5000% 2/1 octave complements present : 0 = 0.0000% Limited inverse transpositions : 1 Inversional symmetry on intervals : 0-1 4-5 -- Rational properties --
FIT/MODE
8: 0 1 0 1 4 1 0 1 N SD: 56.2132 c. M: 98.5775 c. 9: 0 1 1 0 5 1 0 1 N SD: 45.2599 c. M: 82.9700 c. 10: 1 0 1 1 5 1 0 1 N SD: 31.4858 c. M:-45.6740 c. 13: 1 1 1 1 6 1 1 1 N M DE SD: 22.3787 c. M:-38.1692 c. 14: 1 1 1 1 7 1 1 1 N M DE SD: 6.8815 c. M:-11.7371 c. 15: 1 1 1 1 8 1 1 1 N M DE SD: 6.5494 c. M: 11.1707 c. 29: 2 2 2 2 15 2 2 2 N M DE SD: 0.0655 c. M: 0.1117 c. 768: 53 53 53 53 397 53 53 53 N M DE SD: 0.0611 c. M:-0.1043 c. 797: 55 55 55 55 412 55 55 55 N M DE SD: 0.0565 c. M:-0.0964 c. 826: 57 57 57 57 427 57 57 57 N M DE SD: 0.0522 c. M:-0.0891 c. 855: 59 59 59 59 442 59 59 59 N M DE SD: 0.0482 c. M:-0.0823 c. 884: 61 61 61 61 457 61 61 61 N M DE SD: 0.0445 c. M:-0.0759 c. 913: 63 63 63 63 472 63 63 63 N M DE SD: 0.0410 c. M:-0.0700 c. 942: 65 65 65 65 487 65 65 65 N M DE SD: 0.0377 c. M:-0.0644 c. 971: 67 67 67 67 502 67 67 67 N M DE SD: 0.0347 c. M:-0.0591 c. 1000: 69 69 69 69 517 69 69 69 N M DE SD: 0.0318 c. M:-0.0542 c. 1029: 71 71 71 71 532 71 71 71 N M DE SD: 0.0290 c. M:-0.0495 c. 1058: 73 73 73 73 547 73 73 73 N M DE SD: 0.0264 c. M:-0.0451 c. 1087: 75 75 75 75 562 75 75 75 N M DE SD: 0.0240 c. M:-0.0409 c. 1116: 77 77 77 77 577 77 77 77 N M DE SD: 0.0216 c. M:-0.0369 c. 1145: 79 79 79 79 592 79 79 79 N M DE SD: 0.0194 c. M:-0.0332 c. 1174: 81 81 81 81 607 81 81 81 N M DE SD: 0.0173 c. M:-0.0296 c. 1203: 83 83 83 83 622 83 83 83 N M DE SD: 0.0153 c. M:-0.0262 c. 1232: 85 85 85 85 637 85 85 85 N M DE SD: 0.0134 c. M:-0.0229 c. 1261: 87 87 87 87 652 87 87 87 N M DE SD: 0.0116 c. M:-0.0198 c. 1290: 89 89 89 89 667 89 89 89 N M DE SD: 0.0099 c. M:-0.0169 c. 1319: 91 91 91 91 682 91 91 91 N M DE SD: 0.0082 c. M:-0.0140 c. 1348: 93 93 93 93 697 93 93 93 N M DE SD: 0.0066 c. M:-0.0113 c. 1377: 95 95 95 95 712 95 95 95 N M DE SD: 0.0051 c. M:-0.0087 c. 1406: 97 97 97 97 727 97 97 97 N M DE SD: 0.0037 c. M:-0.0063 c. 1435: 99 99 99 99 742 99 99 99 N M DE SD: 0.0023 c. M:-0.0039 c. 1464: 101 101 101 101 757 101 101 101 N M DE SD: 0.0009 c. M:-0.0016 c. 1493: 103 103 103 103 772 103 103 103 N M DE SD: 0.0004 c. M: 0.0006 c.
FIT/HARMONIC
1 x x x x x x x 2 S SD: 2.6600 cents 2 x x x x x x x 4 S SD: 2.6600 cents 3 x x x 4:5 x x 6 S SD: 60.0306 cents 4 x x x 5:7 x x 8 SD: 18.8485 cents 5 x x x 6 x 9 x 10 S SD: 8.4096 cents 6 x x 7 x 10:11 x 12 SD: 18.2083 cents 7 x x 8 x 12:13 x 14 S SD: 11.0978 cents 8 x 9 x 10:14 x 15:16 SD: 15.0019 cents 9 x 10 x 11 x 16:17:18 SD: 10.0353 cents 10 x 11 x 12:17:18:19:20 SD: 7.3448 cents 11 x 12:13 x 19:20:21:22 SD: 7.3133 cents 12 x 13:14:15:21:22:23:24 SD: 9.5541 cents 13 x 14:15:16:23:24:25:26 SD: 9.1550 cents 14:15 x 16:17:24:25:27:28 SD: 8.4271 cents 15:16 x 17:18:26:27:29:30 SD: 7.7875 cents 16:17:18 x 19:28:29:31:32 SD: 9.0733 cents 17:18:19:20:21:29:31:32:34 SD: 8.5178 cents 18:19:20:21:22:31:33:34:36 SD: 5.0339 cents 19:20:21:22:23:33:35:36:38 SD: 3.3953 cents 33:35:36:38:40:57:60:63:66 SD: 3.2634 cents 37:39:41:43:45:64:67:71:74 SD: 2.9740 cents 38:40:42:44:46:66:69:73:76 SD: 1.9848 cents 57:60:63:66:69:99:104:109:114 SD: 1.5307 cents 76:80:84:88:92:132:138:145:152 SD: 1.4884 cents 77:81:85:89:93:134:140:147:154 SD: 1.3527 cents 79:83:87:91:96:137:144:151:158 SD: 1.0679 cents 98:103:108:113:119:170:178:187:196 SD: 0.9623 cents 99:104:109:114:120:172:180:189:198 SD: 0.8437 cents 118:124:130:136:143:205:215:225:236 SD: 0.8295 cents 122:128:134:141:148:212:222:233:244 SD: 0.7648 cents 128:134:141:148:155:222:233:244:256 SD: 0.7622 cents 141:148:155:163:171:245:257:269:282 SD: 0.7603 cents 142:149:156:164:172:246:258:271:284 SD: 0.7133 cents 161:169:177:186:195:279:293:307:322 SD: 0.5799 cents 180:189:198:208:218:312:328:344:361 SD: 0.5451 cents 188:197:207:217:228:326:342:359:377 SD: 0.4727 cents 189:198:208:218:229:328:344:361:379 SD: 0.4643 cents 199:209:219:230:241:345:362:380:399 SD: 0.4282 cents 200:210:220:231:242:347:364:382:401 SD: 0.3970 cents 227:238:250:262:275:394:413:433:455 SD: 0.3556 cents 246:258:271:284:298:427:448:470:493 SD: 0.3308 cents 265:278:292:306:321:460:482:506:531 SD: 0.3237 cents 279:293:307:322:338:484:508:533:559 SD: 0.2972 cents 309:324:340:357:374:536:562:590:619 SD: 0.2910 cents 328:344:361:379:397:569:597:626:657 SD: 0.2594 cents 350:367:385:404:424:607:637:668:701 SD: 0.2061 cents 388:407:427:448:470:673:706:741:777 SD: 0.1005 cents