Scala analysis: xen18-secor-neutral-second-mos-2
MOS generated by a neutral second
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 139.169 cents 139.169000 2: 278.339 cents 278.339000 3: 426.038 cents 426.038000 4: 556.677 cents 556.677000 5: 707.220 cents 707.220000 6: 843.546 cents 843.546000 7: 985.559 cents 985.559000 8: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 214.4410 cents 214.4410 1: 139.1690 cents 139.1690 2: 139.1700 cents 139.1700 3: 147.6990 cents 147.6990 4: 130.6390 cents 130.6390 5: 150.5430 cents 150.5430 6: 136.3260 cents 136.3260 7: 142.0130 cents 142.0130 8: 214.4410 cents 214.4410
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 130.63900 cents 1: 1 136.32600 cents 1: 1 139.16900 cents 1: 1 139.17000 cents 1: 1 142.01300 cents 1: 1 147.69900 cents 1: 1 150.54300 cents 1: 1 214.44100 cents 2: 1 278.33800 cents 2: 2 278.33900 cents 2: 1 281.18200 cents 2: 2 286.86900 cents 2: 1 353.61000 cents 2: 1 356.45400 cents 3: 2 417.50800 cents 3: 1 426.03800 cents 3: 1 428.88100 cents 3: 1 428.88200 cents 3: 2 492.78000 cents 3: 1 495.62300 cents 4: 1 556.67700 cents 4: 1 559.52100 cents 4: 1 565.20700 cents 4: 1 568.05100 cents 4: 1 631.94900 cents 4: 1 634.79300 cents 4: 1 640.47900 cents 4: 1 643.32300 cents 5: 1 704.37700 cents 5: 2 707.22000 cents 5: 1 771.11800 cents 5: 1 771.11900 cents 5: 1 773.96200 cents 5: 2 782.49200 cents 6: 1 843.54600 cents 6: 1 846.39000 cents 6: 2 913.13100 cents 6: 1 918.81800 cents 6: 2 921.66100 cents 6: 1 921.66200 cents 7: 1 985.55900 cents 7: 1 1049.45700 cents 7: 1 1052.30100 cents 7: 1 1057.98700 cents 7: 1 1060.83000 cents 7: 1 1060.83100 cents 7: 1 1063.67400 cents 7: 1 1069.36100 cents Highest number of different intervals for one interval class: 8 Average number of different intervals per interval class: 6.85714 = 48/7
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 7 8 0.0 : 139.2 278.3 426.0 556.7 707.2 843.5 985.6 1200.0 139.2 : 139.2 286.9 417.5 568.1 704.4 846.4 1060.8 1200.0 278.3 : 147.7 278.3 428.9 565.2 707.2 921.7 1060.8 1200.0 426.0 : 130.6 281.2 417.5 559.5 774.0 913.1 1052.3 1200.0 556.7 : 150.5 286.9 428.9 643.3 782.5 921.7 1069.4 1200.0 707.2 : 136.3 278.3 492.8 631.9 771.1 918.8 1049.5 1200.0 843.5 : 142.0 356.5 495.6 634.8 782.5 913.1 1063.7 1200.0 985.6 : 214.4 353.6 492.8 640.5 771.1 921.7 1058.0 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 130.6390 .. 214.4410 cents 83.80200 cents 130.63900 cents 2: 278.3380 .. 356.4540 cents 78.11600 cents 63.89700 cents 3: 417.5080 .. 495.6230 cents 78.11500 cents 61.05400 cents 4: 556.6770 .. 643.3230 cents 86.64600 cents 61.05400 cents 5: 704.3770 .. 782.4920 cents 78.11500 cents 61.05400 cents 6: 843.5460 .. 921.6620 cents 78.11600 cents 61.05400 cents 7: 985.5590 .. 1069.3610 cents 83.80200 cents 63.89700 cents
SHOW DATA
Number of notes : 8 -- Interval properties -- Smallest interval : 130.63900 cents, class 1 Average step (divided formal octave): 150.0000 cents Largest one step interval : 214.44100 cents Average / Smallest step : 1.148202 Largest / Average step : 1.429607 Largest / Smallest step : 1.641478 Median interval of one step : 140.59150 cents, amount: 0 Least squares average step : 143.61254 cents, oct.: 1148.90031 cents Scale is strictly proper Step pattern alph. order: ABCDEFGH Step pattern size order : CDFAGBEH Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 61.05400 cents Scale diversity : 1.349182 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.527740 Rothenberg efficiency : 0.285714 redundancy: 0.714286 Efficiency x scale size : 2.285714 Number of different interval sizes : 48 = 6.85714 / class Number of one step interval sizes : 8 Highest interval variety : 8 Mean interval variety : 6.85714 = 48/7 Median interval variety : 6 Lowest interval variety : 6 Smallest interval difference : 0.00100 cents Number of recognisable fifths : 3, average 706.2723 cents Formal octave complements present : 1 = 12.5000% Limited inverse transpositions with margin 83.8020 cents: 7 -- Rational properties --
FIT/MODE
8: 1 1 1 1 1 1 1 1 SP B ME I SD: 39.0631 c. M:-64.4410 c. 9: 1 1 1 1 1 1 1 2 P M ME SD: 30.9466 c. M: 52.2257 c. 10: 1 1 2 1 1 1 1 2 P D3 S SD: 30.5272 c. M:-53.9620 c. 11: 1 2 1 1 1 2 1 2 P D3 SD: 29.9414 c. M: 52.6745 c. 13: 2 1 2 1 2 1 2 2 P D3 SD: 25.8953 c. M:-45.4464 c. 15: 2 1 2 2 2 2 1 3 P D3 SD: 24.3370 c. M: 38.3390 c. 16: 2 2 2 1 2 2 2 3 P G D3 SD: 21.3825 c. M: 32.2200 c. 17: 2 2 2 2 2 2 2 3 SP M ME SD: 3.7448 c. M:-8.0289 c. 60: 7 7 7 7 7 7 7 11 SP M DE SD: 4.2801 c. M: 7.2200 c. 61: 7 7 8 6 8 7 7 11 SP SD: 3.5513 c. M:-6.7489 c. 73: 8 9 9 8 9 8 9 13 SP SD: 3.4347 c. M: 7.6622 c. 76: 9 9 9 8 10 8 9 14 SP SD: 4.4599 c. M: 6.7039 c. 77: 9 9 9 9 9 9 9 14 SP M DE SD: 3.6337 c. M: 5.9213 c. 78: 9 9 10 8 10 9 9 14 SP SD: 2.2588 c. M:-4.7312 c. 95: 11 11 12 10 12 11 11 17 SP SD: 1.6054 c. M:-3.4357 c. 112: 13 13 14 12 14 13 13 20 SP SD: 1.3712 c. M:-2.8826 c. 129: 15 15 16 14 16 15 15 23 SP SD: 1.3871 c. M:-2.9656 c. 155: 18 18 19 17 19 18 18 28 SP SD: 1.3056 c. M: 2.7039 c. 158: 18 19 19 17 20 18 19 28 SP SD: 1.6955 c. M:-2.6737 c. 161: 19 18 20 18 20 18 19 29 SP SD: 1.7593 c. M: 2.5626 c. 163: 19 19 20 18 20 19 19 29 SP SD: 1.6598 c. M:-3.0798 c. 164: 19 19 20 18 21 18 20 29 SP SD: 1.5398 c. M:-2.5361 c. 172: 20 20 21 19 21 20 20 31 SP SD: 1.2943 c. M: 2.5688 c. 181: 21 21 22 20 23 20 22 32 SP SD: 1.3887 c. M:-2.2863 c. 185: 21 22 23 20 23 21 22 33 SP SD: 1.3678 c. M: 2.9528 c. 189: 22 22 23 21 23 22 22 34 SP SD: 1.3621 c. M: 2.4581 c. 198: 23 23 24 22 25 22 24 35 SP SD: 1.3428 c. M:-2.3198 c. 202: 23 24 25 22 25 23 24 36 SP SD: 1.2974 c. M: 2.5353 c. 216: 25 25 27 23 27 25 25 39 SP SD: 1.2850 c. M: 2.2257 c. 224: 26 26 28 24 28 25 27 40 SP SD: 1.2677 c. M:-2.5334 c. 225: 26 26 28 24 29 25 27 40 SP SD: 1.2332 c. M:-2.1133 c. 229: 26 27 28 25 29 26 27 41 SP SD: 1.2815 c. M: 2.9245 c. 233: 27 27 29 25 29 27 27 42 SP SD: 1.1001 c. M: 1.8680 c. 242: 28 28 30 26 31 27 29 43 SP SD: 0.9818 c. M:-1.8709 c. 250: 29 29 31 27 31 29 29 45 SP SD: 0.9998 c. M: 1.6200 c. 251: 29 29 31 27 32 28 30 45 SP SD: 1.1792 c. M: 2.1117 c. 253: 29 30 31 27 32 29 30 45 SP SD: 1.1390 c. M: 1.7363 c. 256: 30 29 32 28 32 29 30 46 SP SD: 1.0389 c. M: 1.7765 c. 259: 30 30 32 28 33 29 31 46 SP SD: 0.8101 c. M:-1.6603 c. 267: 31 31 33 29 33 31 31 48 SP SD: 0.9721 c. M: 1.6020 c. 268: 31 31 33 29 34 30 32 48 SP SD: 0.9074 c. M: 1.7550 c. 273: 32 31 34 30 34 31 32 49 SP SD: 1.0043 c. M:-1.5648 c. 276: 32 32 34 30 35 31 33 49 SP SD: 0.7219 c. M:-1.4757 c. 285: 33 33 35 31 36 32 34 51 SP SD: 0.6910 c. M: 1.4407 c. 302: 35 35 37 33 38 34 36 54 SP SD: 0.5393 c. M: 1.1619 c. 319: 37 37 39 35 40 36 38 57 SP SD: 0.4690 c. M: 0.9596 c. 380: 44 44 47 41 48 43 45 68 SP SD: 0.4141 c. M: 0.8875 c. 397: 46 46 49 43 50 45 47 71 SP SD: 0.2360 c. M: 0.5057 c. 414: 48 48 51 45 52 47 49 74 SP SD: 0.0725 c. M: 0.1553 c. 845: 98 98 104 92 106 96 100 151 SP SD: 0.0043 c. M:-0.0094 c.
FIT/HARMONIC
1 x x x x x x x 2 S SD: 0.0000 cents 2 x x x x 3 x x 4 S SD: 2.6325 cents 3 x x x 4 x 5 x 6 S SD: 23.8127 cents 4 x x 5 x 6 x 7:8 S SD: 10.8563 cents 5 x 6 x 7 x 8:9:10 S SD: 12.6125 cents 6 x 7 x 8:9:10:11:12 S SD: 16.1017 cents 7 x 8:9:10 x 11:12:14 S SD: 18.6196 cents 8:9 x 10:11:12:13:14:16 S SD: 11.1712 cents 9:10:11 x 12:14:15:16:18 S SD: 17.6027 cents 10:11:12:13:14:15:16:18:20 S SD: 9.2415 cents 11:12:13:14:15:17:18:19:22 SD: 8.3829 cents 13:14:15:17:18:20:21:23:26 SD: 8.1413 cents 14:15:16:18:19:21:23:25:28 SD: 7.9964 cents 16:17:19:20:22:24:26:28:32 SD: 7.3546 cents 18:20:21:23:25:27:29:32:36 SD: 6.3821 cents 21:23:25:27:29:32:34:37:42 SD: 4.9552 cents 22:24:26:28:30:33:36:39:44 SD: 3.6498 cents 24:26:28:31:33:36:39:42:48 SD: 3.4638 cents 34:37:40:43:47:51:55:60:68 SD: 3.0783 cents 35:38:41:45:48:53:57:62:70 SD: 2.3468 cents 40:43:47:51:55:60:65:71:80 SD: 2.3456 cents 46:50:54:59:63:69:75:81:92 SD: 2.0607 cents 47:51:55:60:65:71:77:83:94 SD: 1.9711 cents 51:55:60:65:70:77:83:90:102 SD: 1.8978 cents 57:62:67:73:79:86:93:101:114 SD: 1.6829 cents 61:66:72:78:84:92:99:108:122 SD: 1.5169 cents 68:74:80:87:94:102:111:120:136 SD: 1.4379 cents 69:75:81:88:95:104:112:122:138 SD: 1.2285 cents 85:92:100:109:117:128:138:150:170 SD: 1.0814 cents 86:93:101:110:119:129:140:152:172 SD: 1.0665 cents 97:105:114:124:134:146:158:171:194 SD: 0.7026 cents 119:129:140:152:164:179:194:210:238 SD: 0.6670 cents 121:131:142:155:167:182:197:214:242 SD: 0.4959 cents 143:155:168:183:197:215:233:253:286 SD: 0.4776 cents 190:206:223:243:262:286:309:336:380 SD: 0.3352 cents 240:260:282:307:331:361:391:424:480 SD: 0.2326 cents 287:311:337:367:396:432:467:507:574 SD: 0.1738 cents 395:428:464:505:545:594:643:698:790 SD: 0.1724 cents 430:466:505:550:593:647:700:760:860 SD: 0.0650 cents