Scala analysis: xen18-erlich-nautilus-03
1L 2s MOS for Nautilus, L=1036.72, 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: 1119.690 cents 1119.690000 3: 1202.660 cents 1202.660000
SHOW/INTERVAL
0: 82.9700 cents 82.9700 1: 82.9700 cents 82.9700 2: 1036.7200 cents 1036.7200 3: 82.9700 cents 82.9700
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 2 82.97000 cents 1: 1 1036.72000 cents 2: 1 165.94000 cents 2: 2 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 0.0 : 83.0 1119.7 1202.7 83.0 : 1036.7 1119.7 1202.7 1119.7: 83.0 165.9 1202.7 1202.7
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 82.9700 .. 1036.7200 cents 953.75000 cents 82.97000 cents 2: 165.9400 .. 1119.6900 cents 953.75000 cents -870.78000 cents
SHOW DATA
Number of notes : 3 -- Interval properties -- Smallest interval : 82.97000 cents, class 1 Average step (divided formal octave): 400.8867 cents Largest one step interval : 1036.72000 cents Average / Smallest step : 4.831706 Largest / Average step : 2.586068 Largest / Smallest step : 12.495119 Median interval of one step : 82.97000 cents, amount: 2 Most common interval of one step : 82.97000 cents, amount: 2 Least squares average step : 423.59500 cents, oct.: 1270.78500 cents Scale is not proper Scale has Myhill's property chromas: 953.75000 cents and 870.78000 cents, ratio: 1.095282 generators: 1 of 82.97000 cents and 2 of 1119.69000 cents ET pair of linear temperament : 14&29 Scale is distributional even Scale is a mode of a 1232-tone equal temperament with octave 1202.660 cents degrees: 85 1147 1232 generators: 85 and 1147 Number of contiguous 1-step segments: 0 Step pattern alph. order: ABA Step pattern size order : SLS Scale is a Constant Structure, by a margin of 82.97000 cents Scale diversity : 0.554846 Lumma stability : 0.137977 Lumma impropriety factor : 0.724045 Rothenberg efficiency : 0.888889 redundancy: 0.111111 Efficiency x scale size : 2.666667 Number of different interval sizes : 4 = 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: 2 Number of recognisable fifths : 0 Number of recognisable fourths : 0 Formal octave complements present : 3 = 100.0000% 2/1 octave complements present : 0 = 0.0000% Inversional symmetry on degrees : 0 Inversional symmetry on intervals : 1-2 -- Rational properties --
FIT/MODE
3: 0 3 0 N M DE I SD: 67.7447 c. M: 82.9700 c. 7: 0 6 1 N G T3 SD: 70.1815 c. M: 88.8386 c. 8: 0 7 1 N G T3 SD: 61.7029 c. M: 82.9700 c. 9: 1 7 1 N M DE I SD: 41.3628 c. M: 50.6589 c. 10: 1 8 1 N M DE I SD: 30.4521 c. M: 37.2960 c. 11: 1 9 1 N M DE I SD: 21.5251 c. M: 26.3627 c. 12: 1 10 1 N M DE I SD: 14.0859 c. M: 17.2517 c. 13: 1 11 1 N M DE I SD: 7.7913 c. M: 9.5423 c. 14: 1 12 1 N M DE I SD: 2.3958 c. M: 2.9343 c. 15: 1 13 1 N M DE I SD: 2.2802 c. M: 2.7927 c. 29: 2 25 2 N M DE I SD: 0.0228 c. M: 0.0279 c. 768: 53 662 53 N M DE I SD: 0.0213 c. M: 0.0261 c. 797: 55 687 55 N M DE I SD: 0.0197 c. M: 0.0241 c. 826: 57 712 57 N M DE I SD: 0.0182 c. M: 0.0223 c. 855: 59 737 59 N M DE I SD: 0.0168 c. M: 0.0206 c. 884: 61 762 61 N M DE I SD: 0.0155 c. M: 0.0190 c. 913: 63 787 63 N M DE I SD: 0.0143 c. M: 0.0175 c. 942: 65 812 65 N M DE I SD: 0.0131 c. M: 0.0161 c. 971: 67 837 67 N M DE I SD: 0.0121 c. M: 0.0148 c. 1000: 69 862 69 N M DE I SD: 0.0111 c. M: 0.0135 c. 1029: 71 887 71 N M DE I SD: 0.0101 c. M: 0.0124 c. 1058: 73 912 73 N M DE I SD: 0.0092 c. M: 0.0113 c. 1087: 75 937 75 N M DE I SD: 0.0083 c. M: 0.0102 c. 1116: 77 962 77 N M DE I SD: 0.0075 c. M: 0.0092 c. 1145: 79 987 79 N M DE I SD: 0.0068 c. M: 0.0083 c. 1174: 81 1012 81 N M DE I SD: 0.0060 c. M: 0.0074 c. 1203: 83 1037 83 N M DE I SD: 0.0053 c. M: 0.0065 c. 1232: 85 1062 85 N M DE I SD: 0.0047 c. M: 0.0057 c. 1261: 87 1087 87 N M DE I SD: 0.0040 c. M: 0.0050 c. 1290: 89 1112 89 N M DE I SD: 0.0034 c. M: 0.0042 c. 1319: 91 1137 91 N M DE I SD: 0.0029 c. M: 0.0035 c. 1348: 93 1162 93 N M DE I SD: 0.0023 c. M: 0.0028 c. 1377: 95 1187 95 N M DE I SD: 0.0018 c. M: 0.0022 c. 1406: 97 1212 97 N M DE I SD: 0.0013 c. M: 0.0016 c. 1435: 99 1237 99 N M DE I SD: 0.0008 c. M: 0.0010 c. 1464: 101 1262 101 N M DE I SD: 0.0003 c. M: 0.0004 c. 1493: 103 1287 103 N M DE I SD: 0.0001 c. M: 0.0002 c.
FIT/HARMONIC
1 x x 2 S SD: 2.6600 cents 2 x x 4 S SD: 2.6600 cents 3:4 x 6 S SD: 207.5418 cents 4:5 x 8 SD: 151.6777 cents 5:6 x 10 SD: 116.3432 cents 6:7:11:12 SD: 65.6358 cents 7:8:13:14 SD: 51.9341 cents 8:9:15:16 SD: 41.6611 cents 9:10:17:18 SD: 33.7339 cents 10:11:19:20 SD: 27.5051 cents 11:12:21:22 SD: 22.5732 cents 12:13:23:24 SD: 18.6865 cents 13:14:25:26 SD: 15.6905 cents 14:15:27:28 SD: 13.4921 cents 15:16:29:30 SD: 12.0261 cents 16:17:31:32 SD: 11.2192 cents 17:18:32:34 SD: 9.8318 cents 18:19:34:36 SD: 7.2092 cents 19:20:36:38 SD: 4.9191 cents 20:21:38:40 SD: 3.0076 cents 21:22:40:42 SD: 1.8342 cents 43:45:82:86 SD: 1.8215 cents 64:67:122:128 SD: 1.7752 cents 78:82:149:156 SD: 1.5200 cents 79:83:151:158 SD: 1.3737 cents 99:104:189:198 SD: 1.1811 cents 100:105:191:200 SD: 1.0368 cents 101:106:193:202 SD: 1.0281 cents 121:127:231:242 SD: 0.9305 cents 122:128:233:244 SD: 0.9005 cents 143:150:273:286 SD: 0.8933 cents 184:193:351:369 SD: 0.8635 cents 185:194:353:371 SD: 0.8054 cents 186:195:355:373 SD: 0.7997 cents 200:210:382:401 SD: 0.7719 cents 201:211:384:403 SD: 0.7364 cents 220:231:420:441 SD: 0.6588 cents 221:232:422:443 SD: 0.5631 cents 222:233:424:445 SD: 0.5120 cents 242:254:462:485 SD: 0.4151 cents 243:255:464:487 SD: 0.3415 cents 244:256:466:489 SD: 0.3340 cents 263:276:502:527 SD: 0.3328 cents 264:277:504:529 SD: 0.2338 cents 265:278:506:531 SD: 0.2040 cents 286:300:546:573 SD: 0.1628 cents 386:405:737:773 SD: 0.1571 cents 387:406:739:775 SD: 0.1563 cents