Scala analysis: xen18-erlich-nautilus-05
1L 4s MOS for Nautilus, L=870.78, 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: 1036.720 cents 1036.720000 4: 1119.690 cents 1119.690000 5: 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: 870.7800 cents 870.7800 4: 82.9700 cents 82.9700 5: 82.9700 cents 82.9700
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 4 82.97000 cents 1: 1 870.78000 cents 2: 3 165.94000 cents 2: 2 953.75000 cents 3: 2 248.91000 cents 3: 3 1036.72000 cents 4: 1 331.88000 cents 4: 4 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 0.0 : 83.0 165.9 1036.7 1119.7 1202.7 83.0 : 83.0 953.8 1036.7 1119.7 1202.7 165.9 : 870.8 953.8 1036.7 1119.7 1202.7 1036.7: 83.0 165.9 248.9 331.9 1202.7 1119.7: 83.0 165.9 248.9 1119.7 1202.7 1202.7
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 82.9700 .. 870.7800 cents 787.81000 cents 82.97000 cents 2: 165.9400 .. 953.7500 cents 787.81000 cents -704.84000 cents 3: 248.9100 .. 1036.7200 cents 787.81000 cents -704.84000 cents 4: 331.8800 .. 1119.6900 cents 787.81000 cents -704.84000 cents
SHOW DATA
Number of notes : 5 -- Interval properties -- Smallest interval : 82.97000 cents, class 1 Average step (divided formal octave): 240.5320 cents Largest one step interval : 870.78000 cents Average / Smallest step : 2.899024 Largest / Average step : 3.620225 Largest / Smallest step : 10.495119 Median interval of one step : 82.97000 cents, amount: 4 Most common interval of one step : 82.97000 cents, amount: 4 Least squares average step : 254.85582 cents, oct.: 1274.27909 cents Scale is not proper Scale has Myhill's property chromas: 787.81000 cents and 704.84000 cents, ratio: 1.117715 generators: 1 of 82.97000 cents and 4 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 1162 1255 1348 generators: 93 and 1255 Number of contiguous 1-step segments: 0 Step pattern alph. order: AABAA Step pattern size order : SSLSS Scale is a Constant Structure, by a margin of 82.97000 cents Scale diversity : 0.888867 Lumma stability : 0.137977 Lumma impropriety factor : 0.724045 Rothenberg efficiency : 0.800000 redundancy: 0.200000 Efficiency x scale size : 4.000000 Number of different interval sizes : 8 = 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: 4 Scale is a chain of 2 triads 0.0 165.940 1119.690 cents Number of recognisable fifths : 0 Number of recognisable fourths : 0 Formal octave complements present : 5 = 100.0000% 2/1 octave complements present : 0 = 0.0000% Inversional symmetry on degrees : 0 Inversional symmetry on intervals : 2-3 -- Rational properties --
FIT/MODE
5: 0 1 3 1 0 N T3 I SD: 70.5634 c. M: 82.9700 c. 6: 0 1 4 1 0 N T3 I SD: 56.8313 c. M: 82.9700 c. 7: 0 1 5 0 1 N T3 SD: 54.4889 c. M: 88.8386 c. 8: 1 0 6 0 1 N T3 I SD: 43.7324 c. M: 67.3625 c. 9: 1 0 7 0 1 N T3 I SD: 38.0017 c. M: 50.6589 c. 10: 1 0 8 0 1 N T3 I SD: 37.2940 c. M:-45.6740 c. 11: 1 0 8 1 1 N G SD: 38.4040 c. M: 56.6073 c. 12: 1 1 8 1 1 N M DE I SD: 24.3975 c. M:-34.5033 c. 13: 1 1 9 1 1 N M DE I SD: 13.4949 c. M: 19.0846 c. 14: 1 1 10 1 1 N M DE I SD: 4.1497 c. M:-5.8686 c. 15: 1 1 11 1 1 N M DE I SD: 3.9494 c. M:-5.5853 c. 29: 2 2 21 2 2 N M DE I SD: 0.0395 c. M:-0.0559 c. 768: 53 53 556 53 53 N M DE I SD: 0.0369 c. M:-0.0521 c. 797: 55 55 577 55 55 N M DE I SD: 0.0341 c. M:-0.0482 c. 826: 57 57 598 57 57 N M DE I SD: 0.0315 c. M:-0.0446 c. 855: 59 59 619 59 59 N M DE I SD: 0.0291 c. M: 0.0411 c. 884: 61 61 640 61 61 N M DE I SD: 0.0268 c. M:-0.0380 c. 913: 63 63 661 63 63 N M DE I SD: 0.0247 c. M:-0.0350 c. 942: 65 65 682 65 65 N M DE I SD: 0.0228 c. M:-0.0322 c. 971: 67 67 703 67 67 N M DE I SD: 0.0209 c. M:-0.0296 c. 1000: 69 69 724 69 69 N M DE I SD: 0.0191 c. M:-0.0271 c. 1029: 71 71 745 71 71 N M DE I SD: 0.0175 c. M:-0.0247 c. 1058: 73 73 766 73 73 N M DE I SD: 0.0159 c. M: 0.0225 c. 1087: 75 75 787 75 75 N M DE I SD: 0.0145 c. M:-0.0204 c. 1116: 77 77 808 77 77 N M DE I SD: 0.0131 c. M: 0.0185 c. 1145: 79 79 829 79 79 N M DE I SD: 0.0117 c. M:-0.0166 c. 1174: 81 81 850 81 81 N M DE I SD: 0.0105 c. M:-0.0148 c. 1203: 83 83 871 83 83 N M DE I SD: 0.0093 c. M: 0.0131 c. 1232: 85 85 892 85 85 N M DE I SD: 0.0081 c. M:-0.0115 c. 1261: 87 87 913 87 87 N M DE I SD: 0.0070 c. M: 0.0099 c. 1290: 89 89 934 89 89 N M DE I SD: 0.0060 c. M:-0.0084 c. 1319: 91 91 955 91 91 N M DE I SD: 0.0050 c. M:-0.0070 c. 1348: 93 93 976 93 93 N M DE I SD: 0.0040 c. M:-0.0057 c. 1377: 95 95 997 95 95 N M DE I SD: 0.0031 c. M: 0.0044 c. 1406: 97 97 1018 97 97 N M DE I SD: 0.0022 c. M:-0.0031 c. 1435: 99 99 1039 99 99 N M DE I SD: 0.0014 c. M:-0.0019 c. 1464: 101 101 1060 101 101 N M DE I SD: 0.0006 c. M:-0.0008 c. 1493: 103 103 1081 103 103 N M DE I SD: 0.0002 c. M: 0.0003 c.
FIT/HARMONIC
1 x x x x 2 S SD: 2.6600 cents 2 x x x x 4 S SD: 2.6600 cents 3 x 4:5 x 6 S SD: 121.7989 cents 4 x 5:7 x 8 SD: 76.8702 cents 5 x 6:9 x 10 S SD: 50.3138 cents 6 x 7:11 x 12 SD: 33.9181 cents 7 x 8:13 x 14 SD: 24.6898 cents 8 x 9 x 15:16 SD: 16.4523 cents 9 x 10:16:17:18 SD: 11.9283 cents 10 x 11:18:19:20 SD: 5.2783 cents 11 x 12:20:21:22 SD: 3.9074 cents 12 x 13:22:23:24 SD: 7.7453 cents 13 x 14:24:25:26 SD: 11.6952 cents 14:15 x 25:27:28 SD: 13.0431 cents 15:16:17:27:29:30 SD: 13.0270 cents 16:17:18:29:31:32 SD: 10.2481 cents 17:18:19:31:32:34 SD: 7.9744 cents 18:19:20:33:34:36 SD: 5.9955 cents 19:20:21:35:36:38 SD: 5.3238 cents 20:21:22:36:38:40 SD: 4.2332 cents 21:22:23:38:40:42 SD: 2.8382 cents 39:41:43:71:74:78 SD: 2.4264 cents 40:42:44:73:76:80 SD: 2.0484 cents 59:62:65:107:113:118 SD: 1.8405 cents 60:63:66:109:115:120 SD: 1.6022 cents 77:81:85:140:147:154 SD: 1.5380 cents 78:82:86:142:149:156 SD: 1.1067 cents 79:83:87:144:151:158 SD: 1.0027 cents 99:104:109:180:189:198 SD: 0.7989 cents 100:105:110:182:191:200 SD: 0.6496 cents 188:197:207:342:359:377 SD: 0.6016 cents 199:209:219:362:380:399 SD: 0.5395 cents 200:210:220:364:382:401 SD: 0.4995 cents 228:239:251:415:435:457 SD: 0.4554 cents 266:279:293:484:508:533 SD: 0.3381 cents 267:280:294:486:510:535 SD: 0.2833 cents 288:302:317:524:550:577 SD: 0.2159 cents 328:344:361:597:626:657 SD: 0.1804 cents 367:385:404:668:701:735 SD: 0.1670 cents 388:407:427:706:741:777 SD: 0.1496 cents