Scala analysis: xen18-secor-neutral-second-mos-1
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: 1052.300 cents 1052.300000 9: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 147.7000 cents 147.7000 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: 66.7410 cents 66.7410 9: 147.7000 cents 147.7000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 66.74100 cents 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: 1 147.70000 cents 1: 1 150.54300 cents 2: 1 208.75400 cents 2: 1 214.44100 cents 2: 1 278.33800 cents 2: 2 278.33900 cents 2: 1 281.18200 cents 2: 3 286.86900 cents 3: 1 345.08000 cents 3: 1 353.61000 cents 3: 1 356.45400 cents 3: 2 417.50800 cents 3: 1 426.03800 cents 3: 1 426.03900 cents 3: 1 428.88100 cents 3: 1 428.88200 cents 4: 2 492.78000 cents 4: 2 495.62300 cents 4: 1 556.67700 cents 4: 1 559.52100 cents 4: 1 565.20700 cents 4: 1 568.05100 cents 4: 1 573.73800 cents 5: 1 626.26200 cents 5: 1 631.94900 cents 5: 1 634.79300 cents 5: 1 640.47900 cents 5: 1 643.32300 cents 5: 2 704.37700 cents 5: 2 707.22000 cents 6: 1 771.11800 cents 6: 1 771.11900 cents 6: 1 773.96100 cents 6: 1 773.96200 cents 6: 2 782.49200 cents 6: 1 843.54600 cents 6: 1 846.39000 cents 6: 1 854.92000 cents 7: 3 913.13100 cents 7: 1 918.81800 cents 7: 2 921.66100 cents 7: 1 921.66200 cents 7: 1 985.55900 cents 7: 1 991.24600 cents 8: 1 1049.45700 cents 8: 1 1052.30000 cents 8: 1 1052.30100 cents 8: 1 1057.98700 cents 8: 1 1060.83000 cents 8: 1 1060.83100 cents 8: 1 1063.67400 cents 8: 1 1069.36100 cents 8: 1 1133.25900 cents Highest number of different intervals for one interval class: 9 Average number of different intervals per interval class: 7.50000 = 15/2
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 7 8 9 0.0 : 139.2 278.3 426.0 556.7 707.2 843.5 985.6 1052.3 1200.0 139.2 : 139.2 286.9 417.5 568.1 704.4 846.4 913.1 1060.8 1200.0 278.3 : 147.7 278.3 428.9 565.2 707.2 774.0 921.7 1060.8 1200.0 426.0 : 130.6 281.2 417.5 559.5 626.3 774.0 913.1 1052.3 1200.0 556.7 : 150.5 286.9 428.9 495.6 643.3 782.5 921.7 1069.4 1200.0 707.2 : 136.3 278.3 345.1 492.8 631.9 771.1 918.8 1049.5 1200.0 843.5 : 142.0 208.8 356.5 495.6 634.8 782.5 913.1 1063.7 1200.0 985.6 : 66.7 214.4 353.6 492.8 640.5 771.1 921.7 1058.0 1200.0 1052.3: 147.7 286.9 426.0 573.7 704.4 854.9 991.2 1133.3 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 66.7410 .. 150.5430 cents 83.80200 cents 66.74100 cents 2: 208.7540 .. 286.8690 cents 78.11500 cents 58.21100 cents 3: 345.0800 .. 428.8820 cents 83.80200 cents 58.21100 cents 4: 492.7800 .. 573.7380 cents 80.95800 cents 63.89800 cents 5: 626.2620 .. 707.2200 cents 80.95800 cents 52.52400 cents 6: 771.1180 .. 854.9200 cents 83.80200 cents 63.89800 cents 7: 913.1310 .. 991.2460 cents 78.11500 cents 58.21100 cents 8: 1049.4570 .. 1133.2590 cents 83.80200 cents 58.21100 cents
SHOW DATA
Number of notes : 9 -- Interval properties -- Smallest interval : 66.74100 cents, class 1 Average step (divided formal octave): 133.3333 cents Largest one step interval : 150.54300 cents Average / Smallest step : 1.997772 Largest / Average step : 1.129072 Largest / Smallest step : 2.255630 Median interval of one step : 139.17000 cents, amount: 1 Least squares average step : 136.54512 cents, oct.: 1228.90604 cents Scale is strictly proper Step pattern alph. order: ABCDEFGHI Step pattern size order : DEGBICFAH Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 52.52400 cents Scale diversity : 1.406798 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.455538 Rothenberg efficiency : 0.258818 redundancy: 0.741182 Efficiency x scale size : 2.329365 Number of different interval sizes : 60 = 7.50000 / class Number of one step interval sizes : 9 Highest interval variety : 9 Mean interval variety : 7.50000 = 15/2 Median interval variety : 6.5 Lowest interval variety : 6 Smallest interval difference : 0.00100 cents Most common intervals : 286.86900 cents & inv., amount: 3 Number of recognisable fifths : 4, average 705.7985 cents Formal octave complements present : 1 = 11.1111% Limited inverse transpositions with margin 80.9590 cents: 6 -- Rational properties --
FIT/MODE
9: 1 1 1 1 1 1 1 1 1 SP B ME I SD: 29.5672 c. M: 52.2257 c. Pelog Nawanada: Sunda 16: 2 2 2 1 2 2 2 1 2 P M ME S SD: 20.1742 c. M: 32.2200 c. Supermixolydian 17: 2 2 2 2 2 2 2 1 2 SP M ME S SD: 4.1466 c. M:-8.0289 c. 60: 7 7 7 7 7 7 7 4 7 SP M DE S SD: 4.7824 c. M:-7.7000 c. 61: 7 7 8 6 8 7 7 3 8 SP SD: 4.6492 c. M: 9.6770 c. 71: 8 8 9 8 9 8 8 4 9 SP SD: 4.0601 c. M: 7.9165 c. 72: 8 9 9 7 9 9 8 4 9 SP SD: 5.3834 c. M:-7.2953 c. 73: 8 9 9 8 9 8 9 4 9 SP SD: 3.2393 c. M: 7.6622 c. 74: 9 8 9 8 10 8 9 4 9 SP SD: 4.1746 c. M:-6.7769 c. 76: 9 9 9 8 10 8 9 5 9 SP SD: 4.5999 c. M: 6.7039 c. 77: 9 9 9 9 9 9 9 4 10 SP SD: 4.3711 c. M: 8.1442 c. 78: 9 9 10 8 10 9 9 4 10 SP SD: 2.9551 c. M: 6.1462 c. 87: 10 10 11 9 11 10 10 5 11 SP SD: 3.4762 c. M: 6.2487 c. 88: 10 10 11 10 11 10 10 5 11 SP SD: 3.0290 c. M: 5.6117 c. 90: 10 11 11 10 11 10 11 5 11 SP SD: 2.6547 c. M: 5.8357 c. 95: 11 11 12 10 12 11 11 5 12 SP SD: 1.9907 c. M: 3.8789 c. 112: 13 13 14 12 14 13 13 6 14 SP SD: 1.5030 c. M:-2.8826 c. 121: 14 14 15 13 15 14 14 7 15 SP SD: 1.7442 c. M: 3.7408 c. 129: 15 15 16 14 16 15 15 7 16 SP SD: 1.3616 c. M:-2.9656 c. 146: 17 17 18 16 18 17 17 8 18 SP SD: 1.4253 c. M:-3.0293 c. 155: 18 18 19 17 19 18 18 9 19 SP SD: 1.2473 c. M: 2.7039 c. 161: 19 18 20 18 20 18 19 9 20 SP SD: 1.7203 c. M: 2.5626 c. 163: 19 19 20 18 20 19 19 9 20 SP SD: 1.5724 c. M:-3.0798 c. 164: 19 19 20 18 21 18 20 9 20 SP SD: 1.5208 c. M:-2.5361 c. 172: 20 20 21 19 21 20 20 10 21 SP SD: 1.2830 c. M: 2.5688 c. 181: 21 21 22 20 23 20 22 10 22 SP SD: 1.4463 c. M:-2.2863 c. 185: 21 22 23 20 23 21 22 10 23 SP SD: 1.3818 c. M: 2.9528 c. 202: 23 24 25 22 25 23 24 11 25 SP SD: 1.2530 c. M: 2.5353 c. 219: 25 26 27 24 27 25 26 12 27 SP SD: 1.2312 c. M:-2.2271 c. 225: 26 26 28 24 29 25 27 12 28 SP SD: 1.2839 c. M:-2.1133 c. 229: 27 26 28 25 29 26 27 13 28 SP SD: 1.1005 c. M:-2.3157 c. 233: 27 27 29 25 29 27 27 13 29 SP SD: 1.1750 c. M: 1.8680 c. 242: 28 28 30 26 31 27 29 13 30 SP SD: 0.9909 c. M:-1.8709 c. 250: 29 29 31 27 31 29 29 14 31 SP SD: 1.0115 c. M: 1.6200 c. 251: 29 29 31 27 32 28 30 14 31 SP SD: 1.1246 c. M: 2.1117 c. 253: 29 30 31 27 32 29 30 14 31 SP SD: 1.0965 c. M: 1.7363 c. 258: 30 30 32 28 32 29 31 14 32 SP SD: 1.0919 c. M:-1.8690 c. 259: 30 30 32 28 33 29 31 14 32 SP SD: 0.7865 c. M:-1.6603 c. 267: 31 31 33 29 33 31 31 15 33 SP SD: 0.9391 c. M: 1.6020 c. 268: 31 31 33 29 34 30 32 15 33 SP SD: 0.8558 c. M: 1.7550 c. 276: 32 32 34 30 35 31 33 15 34 SP SD: 0.6819 c. M:-1.4757 c. 285: 33 33 35 31 36 32 34 16 35 SP SD: 0.6608 c. M: 1.4407 c. 302: 35 35 37 33 38 34 36 17 37 SP SD: 0.5568 c. M: 1.1619 c. 319: 37 37 39 35 40 36 38 18 39 SP SD: 0.5521 c. M:-0.9915 c. 380: 44 44 47 41 48 43 45 21 47 SP SD: 0.4584 c. M: 0.8875 c. 397: 46 46 49 43 50 45 47 22 49 SP SD: 0.2612 c. M: 0.5057 c. 414: 48 48 51 45 52 47 49 23 51 SP SD: 0.0802 c. M: 0.1553 c. 845: 98 98 104 92 106 96 100 47 104 SP SD: 0.0048 c. M:-0.0094 c.
FIT/HARMONIC
1 x x x x x x x x 2 S SD: 0.0000 cents 2 x x x x 3 x x x 4 S SD: 2.6325 cents 3 x x x 4 x 5 x x 6 S SD: 23.8127 cents 4 x x 5 x 6 x 7 x 8 S SD: 10.8563 cents 5 x 6 x 7 x 8:9 x 10 S SD: 12.6125 cents 6 x 7 x 8:9:10 x 11:12 S SD: 12.1006 cents 7 x 8:9:10 x 11:12:13:14 S SD: 16.1985 cents 8:9 x 10:11:12:13:14:15:16 S SD: 10.7592 cents 9:10:11 x 12:14:15:16:17:18 S SD: 16.5638 cents 10:11:12:13:14:15:16:18 x 20 S SD: 9.2415 cents 11:12:13:14:15:17:18:19:20:22 SD: 7.6956 cents 13:14:15:17:18:20:21:23:24:26 SD: 7.3074 cents 16:17:19:20:22:24:26:28:29:32 SD: 7.0080 cents 18:20:21:23:25:27:29:32:33:36 SD: 5.6824 cents 21:23:25:27:29:32:34:37:39:42 SD: 4.9039 cents 22:24:26:28:30:33:36:39:40:44 S SD: 3.7712 cents 24:26:28:31:33:36:39:42:44:48 SD: 3.0962 cents 34:37:40:43:47:51:55:60:62:68 SD: 3.0546 cents 35:38:41:45:48:53:57:62:64:70 SD: 2.2439 cents 46:50:54:59:63:69:75:81:84:92 SD: 2.1306 cents 47:51:55:60:65:71:77:83:86:94 SD: 1.8863 cents 50:54:59:64:69:75:81:88:92:100 SD: 1.7951 cents 57:62:67:73:79:86:93:101:105:114 SD: 1.6088 cents 61:66:72:78:84:92:99:108:112:122 SD: 1.3490 cents 68:74:80:87:94:102:111:120:125:136 SD: 1.2918 cents 69:75:81:88:95:104:112:122:127:138 SD: 1.1745 cents 81:88:95:104:112:122:132:143:149:162 SD: 1.1391 cents 85:92:100:109:117:128:138:150:156:170 SD: 0.9688 cents 86:93:101:110:119:129:140:152:158:172 SD: 0.9514 cents 97:105:114:124:134:146:158:171:178:194 SD: 0.6414 cents 121:131:142:155:167:182:197:214:222:242 SD: 0.4768 cents 166:180:195:212:229:250:270:293:305:332 SD: 0.4591 cents 190:206:223:243:262:286:309:336:349:380 SD: 0.3008 cents 240:260:282:307:331:361:391:424:441:480 SD: 0.2344 cents 287:311:337:367:396:432:467:507:527:574 SD: 0.1560 cents 430:466:505:550:593:647:700:760:790:860 SD: 0.0986 cents 527:571:619:674:727:793:858:931:968:1054 SD: 0.0896 cents