Scala analysis: xen18-erlich-negrisept-07
1L 6s MOS for Negrisept, L=454.15, s=124.84
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 124.840 cents 124.840000 2: 249.680 cents 249.680000 3: 374.520 cents 374.520000 4: 828.670 cents 828.670000 5: 953.510 cents 953.510000 6: 1078.350 cents 1078.350000 7: 1203.190 cents 1203.190000
SHOW/INTERVAL
0: 124.8400 cents 124.8400 1: 124.8400 cents 124.8400 2: 124.8400 cents 124.8400 3: 124.8400 cents 124.8400 4: 454.1500 cents 454.1500 5: 124.8400 cents 124.8400 6: 124.8400 cents 124.8400 7: 124.8400 cents 124.8400
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 6 124.84000 cents 1: 1 454.15000 cents 2: 5 249.68000 cents 2: 2 578.99000 cents 3: 4 374.52000 cents 3: 3 703.83000 cents 4: 3 499.36000 cents 4: 4 828.67000 cents 5: 2 624.20000 cents 5: 5 953.51000 cents 6: 1 749.04000 cents 6: 6 1078.35000 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 : 124.8 249.7 374.5 828.7 953.5 1078.3 1203.2 124.8 : 124.8 249.7 703.8 828.7 953.5 1078.3 1203.2 249.7 : 124.8 579.0 703.8 828.7 953.5 1078.3 1203.2 374.5 : 454.2 579.0 703.8 828.7 953.5 1078.3 1203.2 828.7 : 124.8 249.7 374.5 499.4 624.2 749.0 1203.2 953.5 : 124.8 249.7 374.5 499.4 624.2 1078.3 1203.2 1078.3: 124.8 249.7 374.5 499.4 953.5 1078.4 1203.2 1203.2
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 124.8400 .. 454.1500 cents 329.31000 cents 124.84000 cents 2: 249.6800 .. 578.9900 cents 329.31000 cents -204.47000 cents 3: 374.5200 .. 703.8300 cents 329.31000 cents -204.47000 cents 4: 499.3600 .. 828.6700 cents 329.31000 cents -204.47000 cents 5: 624.2000 .. 953.5100 cents 329.31000 cents -204.47000 cents 6: 749.0400 .. 1078.3500 cents 329.31000 cents -204.47000 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 124.84000 cents, class 1 Average step (divided formal octave): 171.8843 cents Largest one step interval : 454.15000 cents Average / Smallest step : 1.376837 Largest / Average step : 2.642185 Largest / Smallest step : 3.637856 Median interval of one step : 124.84000 cents, amount: 6 Most common interval of one step : 124.84000 cents, amount: 6 Least squares average step : 176.58871 cents, oct.: 1236.12100 cents Scale is not proper Scale has Myhill's property chromas: 329.31000 cents and 204.47000 cents, ratio: 1.610554 generators: 1 of 124.84000 cents and 6 of 1078.35000 cents ET pair of linear temperament : 10&19 Scale is distributional even Scale is a mode of a 559-tone equal temperament with octave 1203.190 cents degrees: 58 116 174 385 443 501 559 generators: 58 and 501 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 45.21000 cents Scale diversity : 1.255402 Lumma stability : 0.207515 Lumma impropriety factor : 0.584970 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 : 45.21000 cents Most common intervals : 124.84000 cents & inv., amount: 6 Scale is a chain of 3 triads 0.0 374.520 1078.350 cents Number of recognisable fifths : 3, average 703.8300 cents Number of recognisable fourths : 3, average 499.3600 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: 1 0 1 3 1 0 1 N T3 I SD: 51.3002 c. M: 77.7957 c. 9: 1 1 1 3 1 1 1 N M DE I SD: 17.6956 c. M:-26.5433 c. 10: 1 1 1 4 1 1 1 N M DE I SD: 9.0420 c. M:-13.5630 c. 19: 2 2 2 7 2 2 2 N M DE I SD: 3.6232 c. M:-5.4347 c. 29: 3 3 3 11 3 3 3 N M DE I SD: 0.7441 c. M:-1.1162 c. 77: 8 8 8 29 8 8 8 N M DE I SD: 0.3335 c. M:-0.5003 c. 106: 11 11 11 40 11 11 11 N M DE I SD: 0.0387 c. M: 0.0580 c. 347: 36 36 36 131 36 36 36 N M DE I SD: 0.0267 c. M:-0.0401 c. 453: 47 47 47 171 47 47 47 N M DE I SD: 0.0114 c. M: 0.0172 c. 559: 58 58 58 211 58 58 58 N M DE I SD: 0.0019 c. M:-0.0029 c. 1224: 127 127 127 462 127 127 127 N M DE I SD: 0.0016 c. M:-0.0024 c. 1783: 185 185 185 673 185 185 185 N M DE I SD: 0.0005 c. M:-0.0007 c. 2342: 243 243 243 884 243 243 243 N M DE I SD: 0.0001 c. M: 0.0001 c.
FIT/HARMONIC
1 x x x x x x 2 S SD: 3.1900 cents 2 x x x 3 x x 4 S SD: 63.3776 cents 3 x x 4:5 x x 6 S SD: 45.1785 cents 4 x x 5:6:7 x 8 S SD: 32.0552 cents 5 x x 6:8 x 9:10 S SD: 21.4948 cents 6 x 7 x 10 x 11:12 SD: 16.2926 cents 7 x 8:9:11:12:13:14 SD: 13.5530 cents 8 x 9:10:13:14:15:16 SD: 8.6886 cents 9:10 x 11:15:16:17:18 SD: 16.2346 cents 10:11 x 12:16:17:19:20 SD: 14.5387 cents 11:12:13:14:18:19:21:22 SD: 11.4306 cents 12:13:14:15:19:21:22:24 SD: 7.5655 cents 13:14:15:16:21:23:24:26 SD: 5.9133 cents 24:26:28:30:39:42:45:48 SD: 4.7530 cents 25:27:29:31:40:43:47:50 SD: 4.0085 cents 26:28:30:32:42:45:48:52 SD: 3.3678 cents 37:40:43:46:60:64:69:74 SD: 2.5583 cents 38:41:44:47:61:66:71:76 SD: 2.1238 cents 52:56:60:65:84:90:97:104 SD: 1.9329 cents 53:57:61:66:86:92:99:106 SD: 1.9109 cents 57:61:66:71:92:99:106:114 SD: 1.6816 cents 65:70:75:81:105:113:121:130 SD: 1.3670 cents 78:84:90:97:126:135:145:156 SD: 1.2432 cents 83:89:96:103:134:144:155:166 SD: 0.9144 cents 109:117:126:135:176:189:203:218 SD: 0.8828 cents 124:133:143:154:200:215:231:248 SD: 0.8402 cents 148:159:171:184:239:257:276:297 SD: 0.6135 cents 161:173:186:200:260:279:300:323 SD: 0.4656 cents 174:187:201:216:281:302:324:349 SD: 0.4467 cents 199:214:230:247:321:345:371:399 SD: 0.3206 cents 252:271:291:313:407:437:470:505 SD: 0.2962 cents 282:303:326:350:455:489:526:565 SD: 0.2717 cents 310:333:358:385:500:538:578:621 SD: 0.2708 cents 323:347:373:401:521:560:602:647 SD: 0.2462 cents 347:373:401:431:560:602:647:695 SD: 0.1930 cents 456:490:527:566:736:791:850:914 SD: 0.1707 cents 497:534:574:617:802:862:927:996 SD: 0.1605 cents 509:547:588:632:821:883:949:1020 SD: 0.1566 cents 521:560:602:647:841:904:971:1044 SD: 0.1535 cents 523:562:604:649:844:907:975:1048 SD: 0.1514 cents 547:588:632:679:883:949:1020:1096 SD: 0.1208 cents 588:632:679:730:949:1020:1096:1178 SD: 0.1015 cents