Scala analysis: xen18-erlich-nautilus-06
1L 5s MOS for Nautilus, L=787.81, 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: 1036.720 cents 1036.720000 5: 1119.690 cents 1119.690000 6: 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: 787.8100 cents 787.8100 5: 82.9700 cents 82.9700 6: 82.9700 cents 82.9700
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 5 82.97000 cents 1: 1 787.81000 cents 2: 4 165.94000 cents 2: 2 870.78000 cents 3: 3 248.91000 cents 3: 3 953.75000 cents 4: 2 331.88000 cents 4: 4 1036.72000 cents 5: 1 414.85000 cents 5: 5 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 0.0 : 83.0 165.9 248.9 1036.7 1119.7 1202.7 83.0 : 83.0 165.9 953.8 1036.7 1119.7 1202.7 165.9 : 83.0 870.8 953.8 1036.7 1119.7 1202.7 248.9 : 787.8 870.8 953.8 1036.7 1119.7 1202.7 1036.7: 83.0 165.9 248.9 331.9 414.8 1202.7 1119.7: 83.0 165.9 248.9 331.9 1119.7 1202.7 1202.7
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 82.9700 .. 787.8100 cents 704.84000 cents 82.97000 cents 2: 165.9400 .. 870.7800 cents 704.84000 cents -621.87000 cents 3: 248.9100 .. 953.7500 cents 704.84000 cents -621.87000 cents 4: 331.8800 .. 1036.7200 cents 704.84000 cents -621.87000 cents 5: 414.8500 .. 1119.6900 cents 704.84000 cents -621.87000 cents
SHOW DATA
Number of notes : 6 -- Interval properties -- Smallest interval : 82.97000 cents, class 1 Average step (divided formal octave): 200.4433 cents Largest one step interval : 787.81000 cents Average / Smallest step : 2.415853 Largest / Average step : 3.930338 Largest / Smallest step : 9.495119 Median interval of one step : 82.97000 cents, amount: 5 Most common interval of one step : 82.97000 cents, amount: 5 Least squares average step : 199.15242 cents, oct.: 1194.91451 cents Scale is not proper Scale has Myhill's property chromas: 704.84000 cents and 621.87000 cents, ratio: 1.133420 generators: 1 of 82.97000 cents and 5 of 1119.69000 cents ET pair of linear temperament : 14&29 Scale is distributional even Scale is a mode of a 1406-tone equal temperament with octave 1202.660 cents degrees: 97 194 291 1212 1309 1406 generators: 97 and 1309 Number of contiguous 1-step segments: 0 Step pattern alph. order: AAABAA Step pattern size order : SSSLSS Scale is a Constant Structure, by a margin of 82.97000 cents Scale diversity : 1.081295 Lumma stability : 0.137977 Lumma impropriety factor : 0.724045 Rothenberg efficiency : 0.777778 redundancy: 0.222222 Efficiency x scale size : 4.666667 Number of different interval sizes : 10 = 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 : 82.97000 cents Most common intervals : 82.97000 cents & inv., amount: 5 Scale is a chain of 3 triads 0.0 165.940 1119.690 cents Number of recognisable fifths : 0 Number of recognisable fourths : 0 Formal octave complements present : 5 = 83.3333% 2/1 octave complements present : 0 = 0.0000% Limited inverse transpositions : 1 Inversional symmetry on intervals : 0-1 3-4 -- Rational properties --
FIT/MODE
6: 0 1 0 4 0 1 N SD: 65.0820 c. M: 117.4733 c. 7: 0 1 0 5 0 1 N SD: 58.8640 c. M: 88.8386 c. 8: 1 0 1 5 1 0 N SD: 49.3077 c. M:-82.9700 c. 9: 1 0 1 6 0 1 N SD: 35.4901 c. M: 50.6589 c. 11: 1 0 1 7 1 1 N SD: 37.1687 c. M: 56.6073 c. 12: 1 0 1 8 1 1 N SD: 37.5358 c. M: 65.7183 c. 13: 1 1 1 8 1 1 N M DE SD: 16.9807 c. M:-28.6269 c. 14: 1 1 1 9 1 1 N M DE SD: 5.2216 c. M:-8.8029 c. 15: 1 1 1 10 1 1 N M DE SD: 4.9696 c. M: 8.3780 c. 29: 2 2 2 19 2 2 N M DE SD: 0.0497 c. M: 0.0838 c. 768: 53 53 53 503 53 53 N M DE SD: 0.0464 c. M:-0.0782 c. 797: 55 55 55 522 55 55 N M DE SD: 0.0429 c. M:-0.0723 c. 826: 57 57 57 541 57 57 N M DE SD: 0.0396 c. M:-0.0668 c. 855: 59 59 59 560 59 59 N M DE SD: 0.0366 c. M:-0.0617 c. 884: 61 61 61 579 61 61 N M DE SD: 0.0338 c. M:-0.0569 c. 913: 63 63 63 598 63 63 N M DE SD: 0.0311 c. M:-0.0525 c. 942: 65 65 65 617 65 65 N M DE SD: 0.0286 c. M:-0.0483 c. 971: 67 67 67 636 67 67 N M DE SD: 0.0263 c. M:-0.0443 c. 1000: 69 69 69 655 69 69 N M DE SD: 0.0241 c. M:-0.0406 c. 1029: 71 71 71 674 71 71 N M DE SD: 0.0220 c. M:-0.0371 c. 1058: 73 73 73 693 73 73 N M DE SD: 0.0200 c. M:-0.0338 c. 1087: 75 75 75 712 75 75 N M DE SD: 0.0182 c. M:-0.0307 c. 1116: 77 77 77 731 77 77 N M DE SD: 0.0164 c. M:-0.0277 c. 1145: 79 79 79 750 79 79 N M DE SD: 0.0147 c. M:-0.0249 c. 1174: 81 81 81 769 81 81 N M DE SD: 0.0132 c. M:-0.0222 c. 1203: 83 83 83 788 83 83 N M DE SD: 0.0116 c. M:-0.0196 c. 1232: 85 85 85 807 85 85 N M DE SD: 0.0102 c. M:-0.0172 c. 1261: 87 87 87 826 87 87 N M DE SD: 0.0088 c. M:-0.0149 c. 1290: 89 89 89 845 89 89 N M DE SD: 0.0075 c. M:-0.0127 c. 1319: 91 91 91 864 91 91 N M DE SD: 0.0062 c. M:-0.0105 c. 1348: 93 93 93 883 93 93 N M DE SD: 0.0050 c. M:-0.0085 c. 1377: 95 95 95 902 95 95 N M DE SD: 0.0039 c. M:-0.0066 c. 1406: 97 97 97 921 97 97 N M DE SD: 0.0028 c. M:-0.0047 c. 1435: 99 99 99 940 99 99 N M DE SD: 0.0017 c. M:-0.0029 c. 1464: 101 101 101 959 101 101 N M DE SD: 0.0007 c. M:-0.0012 c. 1493: 103 103 103 978 103 103 N M DE SD: 0.0003 c. M: 0.0005 c.
FIT/HARMONIC
1 x x x x x 2 S SD: 2.6600 cents 2 x x x x x 4 S SD: 2.6600 cents 3 x x 4:5 x 6 S SD: 97.3478 cents 4 x x 5:7 x 8 SD: 51.0952 cents 5 x x 6:9 x 10 S SD: 23.1561 cents 6 x x 7:11 x 12 SD: 7.3750 cents 7 x x 8:13 x 14 SD: 13.1037 cents 8 x 9 x x 15:16 SD: 16.4523 cents 9 x 10 x 16:17:18 SD: 11.9283 cents 10 x 11:12:18:19:20 S SD: 13.9983 cents 11 x 12:13:20:21:22 SD: 8.6449 cents 12 x 13:14:22:23:24 SD: 7.1622 cents 13 x 14:15:24:25:26 SD: 9.3591 cents 14:15 x 16:25:27:28 SD: 11.0209 cents 15:16 x 17:27:29:30 SD: 10.4033 cents 16:17:18 x 29:31:32 SD: 10.2481 cents 17:18:19:20:31:32:34 SD: 8.5678 cents 18:19:20:21:33:34:36 SD: 5.8244 cents 19:20:21:22:35:36:38 SD: 4.5109 cents 20:21:22:23:36:38:40 SD: 3.7129 cents 37:39:41:43:67:71:74 SD: 3.6936 cents 38:40:42:44:69:73:76 SD: 2.6185 cents 39:41:43:45:71:74:78 SD: 2.0314 cents 57:60:63:66:104:109:114 SD: 2.0045 cents 58:61:64:67:106:111:116 SD: 1.7862 cents 59:62:65:68:107:113:118 SD: 1.6199 cents 77:81:85:89:140:147:154 SD: 1.3173 cents 78:82:86:90:142:149:156 SD: 0.9426 cents 121:127:133:140:220:231:242 SD: 0.8926 cents 122:128:134:141:222:233:244 SD: 0.7913 cents 161:169:177:186:293:307:322 SD: 0.7044 cents 167:175:184:193:304:319:335 SD: 0.6868 cents 168:176:185:194:306:321:337 SD: 0.6754 cents 187:196:206:216:340:357:375 SD: 0.5868 cents 188:197:207:217:342:359:377 SD: 0.5098 cents 200:210:220:231:364:382:401 SD: 0.4267 cents 239:251:263:276:435:456:479 SD: 0.4105 cents 240:252:264:277:437:458:481 SD: 0.4067 cents 265:278:292:306:482:506:531 SD: 0.3967 cents 266:279:293:307:484:508:533 SD: 0.3072 cents 310:325:341:358:564:592:621 SD: 0.2795 cents 328:344:361:379:597:626:657 SD: 0.2627 cents 329:345:362:380:599:628:659 SD: 0.2217 cents 367:385:404:424:668:701:735 SD: 0.2211 cents 368:386:405:425:670:703:737 SD: 0.2067 cents 387:406:426:447:704:739:775 SD: 0.1953 cents 388:407:427:448:706:741:777 SD: 0.1247 cents