Scala analysis: xen18-erlich-nautilus-04
1L 3s MOS for Nautilus, L=953.75, 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: 1119.690 cents 1119.690000 4: 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: 953.7500 cents 953.7500 4: 82.9700 cents 82.9700
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 3 82.97000 cents 1: 1 953.75000 cents 2: 2 165.94000 cents 2: 2 1036.72000 cents 3: 1 248.91000 cents 3: 3 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 0.0 : 83.0 165.9 1119.7 1202.7 83.0 : 83.0 1036.7 1119.7 1202.7 165.9 : 953.8 1036.7 1119.7 1202.7 1119.7: 83.0 165.9 248.9 1202.7 1202.7
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 82.9700 .. 953.7500 cents 870.78000 cents 82.97000 cents 2: 165.9400 .. 1036.7200 cents 870.78000 cents -787.81000 cents 3: 248.9100 .. 1119.6900 cents 870.78000 cents -787.81000 cents
SHOW DATA
Number of notes : 4 -- Interval properties -- Smallest interval : 82.97000 cents, class 1 Average step (divided formal octave): 300.6650 cents Largest one step interval : 953.75000 cents Average / Smallest step : 3.623780 Largest / Average step : 3.172135 Largest / Smallest step : 11.495119 Median interval of one step : 82.97000 cents, amount: 3 Most common interval of one step : 82.97000 cents, amount: 3 Least squares average step : 286.15200 cents, oct.: 1144.60800 cents Scale is not proper Scale has Myhill's property chromas: 870.78000 cents and 787.81000 cents, ratio: 1.105317 generators: 1 of 82.97000 cents and 3 of 1119.69000 cents ET pair of linear temperament : 14&29 Scale is distributional even Scale is a mode of a 1348-tone equal temperament with octave 1202.660 cents degrees: 93 186 1255 1348 generators: 93 and 1255 Number of contiguous 1-step segments: 0 Step pattern alph. order: AABA Step pattern size order : SSLS Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 82.97000 cents Scale diversity : 0.712649 Lumma stability : 0.137977 Lumma impropriety factor : 0.724045 Rothenberg efficiency : 0.833333 redundancy: 0.166667 Efficiency x scale size : 3.333333 Number of different interval sizes : 6 = 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: 3 Scale is a chain of 2 triads 0.0 82.970 1119.690 cents Number of recognisable fifths : 0 Number of recognisable fourths : 0 Formal octave complements present : 3 = 75.0000% 2/1 octave complements present : 0 = 0.0000% Limited inverse transpositions : 1 Inversional symmetry on intervals : 0-1 2-3 -- Rational properties --
FIT/MODE
4: 0 0 3 1 N SD: 143.0133 c. M: 217.6950 c. 5: 0 0 4 1 N SD: 121.7024 c. M: 165.9400 c. 6: 0 0 5 1 N SD: 109.7954 c. M: 165.9400 c. 7: 0 1 5 1 N D3 SD: 60.8497 c. M: 88.8386 c. 8: 0 1 6 1 N D3 SD: 54.0031 c. M: 82.9700 c. 9: 0 1 7 1 N D3 SD: 51.2210 c. M: 82.9700 c. 10: 0 1 8 1 N D3 SD: 50.8948 c. M: 82.9700 c. 12: 1 1 9 1 N M DE SD: 21.1289 c. M:-34.5033 c. 13: 1 1 10 1 N M DE SD: 11.6869 c. M:-19.0846 c. 14: 1 1 11 1 N M DE SD: 3.5938 c. M:-5.8686 c. 15: 1 1 12 1 N M DE SD: 3.4203 c. M: 5.5853 c. 29: 2 2 23 2 N M DE SD: 0.0342 c. M: 0.0559 c. 768: 53 53 609 53 N M DE SD: 0.0319 c. M:-0.0521 c. 797: 55 55 632 55 N M DE SD: 0.0295 c. M:-0.0482 c. 826: 57 57 655 57 N M DE SD: 0.0273 c. M:-0.0446 c. 855: 59 59 678 59 N M DE SD: 0.0252 c. M:-0.0411 c. 884: 61 61 701 61 N M DE SD: 0.0232 c. M:-0.0380 c. 913: 63 63 724 63 N M DE SD: 0.0214 c. M:-0.0350 c. 942: 65 65 747 65 N M DE SD: 0.0197 c. M:-0.0322 c. 971: 67 67 770 67 N M DE SD: 0.0181 c. M:-0.0296 c. 1000: 69 69 793 69 N M DE SD: 0.0166 c. M:-0.0271 c. 1029: 71 71 816 71 N M DE SD: 0.0152 c. M:-0.0247 c. 1058: 73 73 839 73 N M DE SD: 0.0138 c. M:-0.0225 c. 1087: 75 75 862 75 N M DE SD: 0.0125 c. M:-0.0204 c. 1116: 77 77 885 77 N M DE SD: 0.0113 c. M:-0.0185 c. 1145: 79 79 908 79 N M DE SD: 0.0102 c. M:-0.0166 c. 1174: 81 81 931 81 N M DE SD: 0.0091 c. M:-0.0148 c. 1203: 83 83 954 83 N M DE SD: 0.0080 c. M:-0.0131 c. 1232: 85 85 977 85 N M DE SD: 0.0070 c. M:-0.0115 c. 1261: 87 87 1000 87 N M DE SD: 0.0061 c. M:-0.0099 c. 1290: 89 89 1023 89 N M DE SD: 0.0052 c. M:-0.0084 c. 1319: 91 91 1046 91 N M DE SD: 0.0043 c. M:-0.0070 c. 1348: 93 93 1069 93 N M DE SD: 0.0035 c. M:-0.0057 c. 1377: 95 95 1092 95 N M DE SD: 0.0027 c. M:-0.0044 c. 1406: 97 97 1115 97 N M DE SD: 0.0019 c. M:-0.0031 c. 1435: 99 99 1138 99 N M DE SD: 0.0012 c. M:-0.0019 c. 1464: 101 101 1161 101 N M DE SD: 0.0005 c. M:-0.0008 c. 1493: 103 103 1184 103 N M DE SD: 0.0002 c. M: 0.0003 c.
FIT/HARMONIC
1 x x x 2 S SD: 2.6600 cents 2 x x x 4 S SD: 2.6600 cents 3 x 4 x 6 S SD: 166.0578 cents 4 x 5 x 8 SD: 110.1949 cents 5 x 6 x 10 SD: 74.8625 cents 6 x 7:11:12 SD: 41.0149 cents 7 x 8:13:14 SD: 27.0091 cents 8 x 9:15:16 SD: 16.4523 cents 9 x 10:17:18 SD: 8.3383 cents 10 x 11:19:20 SD: 2.9822 cents 11 x 12:21:22 SD: 5.1780 cents 12 x 13:23:24 SD: 9.4281 cents 13 x 14:25:26 SD: 13.2413 cents 14:15 x 27:28 SD: 13.4921 cents 16:17:18:31:32 SD: 12.6850 cents 17:18:19:32:34 SD: 9.9325 cents 18:19:20:34:36 SD: 6.7953 cents 19:20:21:36:38 SD: 4.1191 cents 20:21:22:38:40 SD: 2.2678 cents 41:43:45:78:82 SD: 2.0840 cents 58:61:64:111:116 SD: 1.9723 cents 59:62:65:113:118 SD: 1.7157 cents 78:82:86:149:156 SD: 1.3778 cents 79:83:87:151:158 SD: 1.0635 cents 99:104:109:189:198 SD: 0.9007 cents 100:105:110:191:200 SD: 0.8120 cents 179:188:197:342:359 SD: 0.7855 cents 187:196:206:357:375 SD: 0.7482 cents 188:197:207:359:377 SD: 0.7247 cents 199:209:219:380:399 SD: 0.6397 cents 200:210:220:382:401 SD: 0.6244 cents 208:218:229:397:417 SD: 0.6006 cents 219:230:241:418:439 SD: 0.5906 cents 220:231:242:420:441 SD: 0.5467 cents 247:259:272:472:495 SD: 0.5268 cents 266:279:293:508:533 SD: 0.4092 cents 267:280:294:510:535 SD: 0.3499 cents 286:300:315:546:573 SD: 0.3388 cents 287:301:316:548:575 SD: 0.2366 cents 288:302:317:550:577 SD: 0.2362 cents 307:322:338:586:615 SD: 0.2207 cents 308:323:339:588:617 SD: 0.1763 cents 387:406:426:739:775 SD: 0.1371 cents