Scala analysis: xen18-erlich-negrisept-05
1L 4s MOS for Negrisept, L=703.83, 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: 953.510 cents 953.510000 4: 1078.350 cents 1078.350000 5: 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: 703.8300 cents 703.8300 4: 124.8400 cents 124.8400 5: 124.8400 cents 124.8400
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 4 124.84000 cents 1: 1 703.83000 cents 2: 3 249.68000 cents 2: 2 828.67000 cents 3: 2 374.52000 cents 3: 3 953.51000 cents 4: 1 499.36000 cents 4: 4 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 0.0 : 124.8 249.7 953.5 1078.3 1203.2 124.8 : 124.8 828.7 953.5 1078.3 1203.2 249.7 : 703.8 828.7 953.5 1078.3 1203.2 953.5 : 124.8 249.7 374.5 499.4 1203.2 1078.3: 124.8 249.7 374.5 1078.4 1203.2 1203.2
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 124.8400 .. 703.8300 cents 578.99000 cents 124.84000 cents 2: 249.6800 .. 828.6700 cents 578.99000 cents -454.15000 cents 3: 374.5200 .. 953.5100 cents 578.99000 cents -454.15000 cents 4: 499.3600 .. 1078.3500 cents 578.99000 cents -454.15000 cents
SHOW DATA
Number of notes : 5 -- Interval properties -- Smallest interval : 124.84000 cents, class 1 Average step (divided formal octave): 240.6380 cents Largest one step interval : 703.83000 cents Average / Smallest step : 1.927571 Largest / Average step : 2.924850 Largest / Smallest step : 5.637856 Median interval of one step : 124.84000 cents, amount: 4 Most common interval of one step : 124.84000 cents, amount: 4 Least squares average step : 251.16509 cents, oct.: 1255.82545 cents Scale is not proper Scale has Myhill's property chromas: 578.99000 cents and 454.15000 cents, ratio: 1.274887 generators: 1 of 124.84000 cents and 4 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: 58 116 443 501 559 generators: 58 and 501 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 124.84000 cents Scale diversity : 1.340802 Lumma stability : 0.207515 Lumma impropriety factor : 0.584970 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 : 124.84000 cents Most common intervals : 124.84000 cents & inv., amount: 4 Scale is a chain of 2 triads 0.0 249.680 1078.350 cents Number of recognisable fifths : 1, average 703.8300 cents Number of recognisable fourths : 1, average 499.3600 cents 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 0 1 N T3 SD: 76.3645 c. M: 124.8400 c. 6: 1 0 4 0 1 N T3 I SD: 57.0781 c. M:-75.6917 c. 8: 1 1 4 1 1 N M DE I SD: 36.1455 c. M: 51.1175 c. 9: 1 1 5 1 1 N M DE I SD: 12.5126 c. M: 17.6956 c. 10: 1 1 6 1 1 N M DE I SD: 6.3937 c. M: 9.0420 c. 19: 2 2 11 2 2 N M DE I SD: 2.5620 c. M: 3.6232 c. 29: 3 3 17 3 3 N M DE I SD: 0.5262 c. M: 0.7441 c. 77: 8 8 45 8 8 N M DE I SD: 0.2358 c. M: 0.3335 c. 106: 11 11 62 11 11 N M DE I SD: 0.0274 c. M: 0.0387 c. 347: 36 36 203 36 36 N M DE I SD: 0.0189 c. M: 0.0267 c. 453: 47 47 265 47 47 N M DE I SD: 0.0081 c. M: 0.0114 c. 559: 58 58 327 58 58 N M DE I SD: 0.0014 c. M: 0.0019 c. 1224: 127 127 716 127 127 N M DE I SD: 0.0011 c. M: 0.0016 c. 1783: 185 185 1043 185 185 N M DE I SD: 0.0003 c. M: 0.0005 c. 2342: 243 243 1370 243 243 N M DE I SD: 0.0001 c. M: 0.0001 c.
FIT/HARMONIC
1 x x x x 2 S SD: 3.1900 cents 2 x x x x 4 S SD: 3.1900 cents 3 x 4:5 x 6 S SD: 85.9439 cents 4 x 5:7 x 8 SD: 45.8422 cents 5 x 6 x 9:10 S SD: 29.9111 cents 6 x 7:10:11:12 SD: 19.2481 cents 7 x 8:12:13:14 S SD: 7.1249 cents 8 x 9:14:15:16 SD: 12.3441 cents 9:10 x 16:17:18 SD: 18.7948 cents 10:11:12:17:19:20 SD: 18.1869 cents 11:12:13:19:21:22 SD: 12.6207 cents 12:13:14:21:22:24 S SD: 7.9224 cents 13:14:15:23:24:26 SD: 7.7056 cents 14:15:16:24:26:28 S SD: 5.8012 cents 24:26:28:42:45:48 S SD: 5.7524 cents 25:27:29:43:47:50 SD: 4.7260 cents 26:28:30:45:48:52 S SD: 3.6156 cents 27:29:31:47:50:54 SD: 3.4279 cents 37:40:43:64:69:74 SD: 3.1417 cents 38:41:44:66:71:76 SD: 1.9180 cents 52:56:60:90:97:104 SD: 1.2881 cents 83:89:96:144:155:166 SD: 1.2655 cents 95:102:110:165:177:190 SD: 1.2073 cents 109:117:126:189:203:218 SD: 0.8985 cents 135:145:156:234:252:270 SD: 0.8550 cents 147:158:170:255:274:295 SD: 0.6717 cents 161:173:186:279:300:323 SD: 0.5818 cents 162:174:187:281:302:325 SD: 0.5435 cents 199:214:230:345:371:399 SD: 0.4017 cents 200:215:231:347:373:401 SD: 0.2875 cents 309:332:357:536:576:619 SD: 0.1528 cents 508:546:587:881:947:1018 SD: 0.1390 cents 509:547:588:883:949:1020 SD: 0.0760 cents 561:603:648:973:1046:1124 SD: 0.0705 cents