Scala analysis: xen18-erlich-nautilus-07
1L 6s MOS for Nautilus, L=704.84, 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: 953.750 cents 953.750000 5: 1036.720 cents 1036.720000 6: 1119.690 cents 1119.690000 7: 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: 704.8400 cents 704.8400 5: 82.9700 cents 82.9700 6: 82.9700 cents 82.9700 7: 82.9700 cents 82.9700
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 6 82.97000 cents 1: 1 704.84000 cents 2: 5 165.94000 cents 2: 2 787.81000 cents 3: 4 248.91000 cents 3: 3 870.78000 cents 4: 3 331.88000 cents 4: 4 953.75000 cents 5: 2 414.85000 cents 5: 5 1036.72000 cents 6: 1 497.82000 cents 6: 6 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 0.0 : 83.0 165.9 248.9 953.8 1036.7 1119.7 1202.7 83.0 : 83.0 165.9 870.8 953.8 1036.7 1119.7 1202.7 165.9 : 83.0 787.8 870.8 953.8 1036.7 1119.7 1202.7 248.9 : 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 1202.7 1036.7: 83.0 165.9 248.9 331.9 414.8 1119.7 1202.7 1119.7: 83.0 165.9 248.9 331.9 1036.7 1119.7 1202.7 1202.7
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 82.9700 .. 704.8400 cents 621.87000 cents 82.97000 cents 2: 165.9400 .. 787.8100 cents 621.87000 cents -538.90000 cents 3: 248.9100 .. 870.7800 cents 621.87000 cents -538.90000 cents 4: 331.8800 .. 953.7500 cents 621.87000 cents -538.90000 cents 5: 414.8500 .. 1036.7200 cents 621.87000 cents -538.90000 cents 6: 497.8200 .. 1119.6900 cents 621.87000 cents -538.90000 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 82.97000 cents, class 1 Average step (divided formal octave): 171.8086 cents Largest one step interval : 704.84000 cents Average / Smallest step : 2.070731 Largest / Average step : 4.102473 Largest / Smallest step : 8.495119 Median interval of one step : 82.97000 cents, amount: 6 Most common interval of one step : 82.97000 cents, amount: 6 Least squares average step : 180.69243 cents, oct.: 1264.84700 cents Scale is not proper Scale has Myhill's property chromas: 621.87000 cents and 538.90000 cents, ratio: 1.153962 generators: 1 of 82.97000 cents and 6 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 1115 1212 1309 1406 generators: 97 and 1309 Number of contiguous 1-step segments: 0 Step pattern alph. order: AAABAAA Step pattern size order : SSSLSSS Scale is a Constant Structure, by a margin of 82.97000 cents Scale diversity : 1.254539 Lumma stability : 0.137977 Lumma impropriety factor : 0.724045 Rothenberg efficiency : 0.761905 redundancy: 0.238095 Efficiency x scale size : 5.333333 Number of different interval sizes : 12 = 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: 6 Scale is a chain of 3 triads 0.0 248.910 1119.690 cents Number of recognisable fifths : 1, average 704.8400 cents Number of recognisable fourths : 1, average 497.8200 cents Scale contains two identical disjunct tetrachords Formal octave complements present : 7 = 100.0000% 2/1 octave complements present : 0 = 0.0000% Inversional symmetry on degrees : 0 Inversional symmetry on intervals : 3-4 -- Rational properties --
FIT/MODE
7: 0 1 0 4 1 0 1 N T3 SD: 65.2022 c. M: 94.7071 c. 9: 1 0 1 5 1 0 1 N T3 I SD: 33.5813 c. M: 50.6589 c. 10: 1 0 1 6 1 0 1 N T3 I SD: 31.8357 c. M:-45.6740 c. 13: 1 1 1 7 1 1 1 N M DE I SD: 19.0846 c. M:-28.6269 c. 14: 1 1 1 8 1 1 1 N M DE I SD: 5.8686 c. M:-8.8029 c. 15: 1 1 1 9 1 1 1 N M DE I SD: 5.5853 c. M:-8.3780 c. 29: 2 2 2 17 2 2 2 N M DE I SD: 0.0559 c. M:-0.0838 c. 768: 53 53 53 450 53 53 53 N M DE I SD: 0.0521 c. M:-0.0782 c. 797: 55 55 55 467 55 55 55 N M DE I SD: 0.0482 c. M:-0.0723 c. 826: 57 57 57 484 57 57 57 N M DE I SD: 0.0446 c. M:-0.0668 c. 855: 59 59 59 501 59 59 59 N M DE I SD: 0.0411 c. M:-0.0617 c. 884: 61 61 61 518 61 61 61 N M DE I SD: 0.0380 c. M:-0.0569 c. 913: 63 63 63 535 63 63 63 N M DE I SD: 0.0350 c. M:-0.0525 c. 942: 65 65 65 552 65 65 65 N M DE I SD: 0.0322 c. M:-0.0483 c. 971: 67 67 67 569 67 67 67 N M DE I SD: 0.0296 c. M:-0.0443 c. 1000: 69 69 69 586 69 69 69 N M DE I SD: 0.0271 c. M:-0.0406 c. 1029: 71 71 71 603 71 71 71 N M DE I SD: 0.0247 c. M:-0.0371 c. 1058: 73 73 73 620 73 73 73 N M DE I SD: 0.0225 c. M:-0.0338 c. 1087: 75 75 75 637 75 75 75 N M DE I SD: 0.0204 c. M:-0.0307 c. 1116: 77 77 77 654 77 77 77 N M DE I SD: 0.0185 c. M:-0.0277 c. 1145: 79 79 79 671 79 79 79 N M DE I SD: 0.0166 c. M:-0.0249 c. 1174: 81 81 81 688 81 81 81 N M DE I SD: 0.0148 c. M:-0.0222 c. 1203: 83 83 83 705 83 83 83 N M DE I SD: 0.0131 c. M: 0.0196 c. 1232: 85 85 85 722 85 85 85 N M DE I SD: 0.0115 c. M:-0.0172 c. 1261: 87 87 87 739 87 87 87 N M DE I SD: 0.0099 c. M:-0.0149 c. 1290: 89 89 89 756 89 89 89 N M DE I SD: 0.0084 c. M: 0.0127 c. 1319: 91 91 91 773 91 91 91 N M DE I SD: 0.0070 c. M:-0.0105 c. 1348: 93 93 93 790 93 93 93 N M DE I SD: 0.0057 c. M:-0.0085 c. 1377: 95 95 95 807 95 95 95 N M DE I SD: 0.0044 c. M:-0.0066 c. 1406: 97 97 97 824 97 97 97 N M DE I SD: 0.0031 c. M:-0.0047 c. 1435: 99 99 99 841 99 99 99 N M DE I SD: 0.0019 c. M:-0.0029 c. 1464: 101 101 101 858 101 101 101 N M DE I SD: 0.0008 c. M:-0.0012 c. 1493: 103 103 103 875 103 103 103 N M DE I SD: 0.0003 c. M: 0.0005 c.
FIT/HARMONIC
1 x x x x x x 2 S SD: 2.6600 cents 2 x x x x x x 4 S SD: 2.6600 cents 3 x x 4:5 x x 6 S SD: 86.2106 cents 4 x x 5:7 x x 8 SD: 46.0846 cents 5 x x 6 x 9 x 10 S SD: 23.1561 cents 6 x x 7:10:11 x 12 SD: 18.2083 cents 7 x x 8:12:13 x 14 S SD: 11.0978 cents 8 x 9 x 14 x 15:16 SD: 12.9020 cents 9 x 10 x x 16:17:18 SD: 11.9283 cents 10 x 11:12:17:18:19:20 SD: 13.0506 cents 11 x 12:13:19:20:21:22 SD: 7.3133 cents 12 x 13:14:21:22:23:24 S SD: 6.4758 cents 13 x 14:15:23:24:25:26 SD: 9.6402 cents 14:15 x 16:24:25:27:28 SD: 9.8061 cents 15:16 x 17:26:27:29:30 SD: 8.6730 cents 16:17:18 x 28:29:31:32 SD: 8.9020 cents 17:18:19:20:29:31:32:34 SD: 8.4408 cents 18:19:20:21:31:33:34:36 SD: 5.3081 cents 19:20:21:22:33:35:36:38 SD: 3.8771 cents 20:21:22:23:35:36:38:40 SD: 3.8428 cents 33:35:36:38:57:60:63:66 SD: 3.7259 cents 37:39:41:43:64:67:71:74 SD: 3.2485 cents 38:40:42:44:66:69:73:76 SD: 2.2627 cents 39:41:43:45:68:71:74:78 SD: 2.1411 cents 57:60:63:66:99:104:109:114 SD: 1.7420 cents 59:62:65:68:102:107:113:118 SD: 1.6326 cents 60:63:66:69:104:109:115:120 SD: 1.5299 cents 77:81:85:89:134:140:147:154 SD: 1.3685 cents 78:82:86:90:135:142:149:156 SD: 0.9940 cents 79:83:87:91:137:144:151:158 SD: 0.9293 cents 98:103:108:113:170:178:187:196 SD: 0.9170 cents 117:123:129:135:203:213:223:234 SD: 0.9106 cents 121:127:133:140:210:220:231:242 SD: 0.7718 cents 161:169:177:186:279:293:307:322 SD: 0.6623 cents 162:170:178:187:281:295:309:324 SD: 0.6364 cents 180:189:198:208:312:328:344:361 SD: 0.6216 cents 181:190:199:209:314:329:346:363 SD: 0.6041 cents 187:196:206:216:324:340:357:375 SD: 0.5933 cents 188:197:207:217:326:342:359:377 SD: 0.4511 cents 200:210:220:231:347:364:382:401 SD: 0.3665 cents 266:279:293:307:461:484:508:533 SD: 0.3623 cents 267:280:294:308:463:486:510:535 SD: 0.3233 cents 290:304:319:335:503:528:554:581 SD: 0.3147 cents 305:320:336:352:529:555:582:611 SD: 0.3099 cents 306:321:337:353:531:557:584:613 SD: 0.3050 cents 309:324:340:357:536:562:590:619 SD: 0.2697 cents 310:325:341:358:538:564:592:621 SD: 0.2572 cents 328:344:361:379:569:597:626:657 SD: 0.2254 cents 329:345:362:380:571:599:628:659 SD: 0.2170 cents 388:407:427:448:673:706:741:777 SD: 0.1147 cents