Scala analysis: xen18-secor-11-17-mos
MOS generated by 11o17
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 214.441 cents 214.441000 2: 278.339 cents 278.339000 3: 353.610 cents 353.610000 4: 562.364 cents 562.364000 5: 640.479 cents 640.479000 6: 707.220 cents 707.220000 7: 771.118 cents 771.118000 8: 985.559 cents 985.559000 9: 1057.987 cents 1057.987000 10: 1136.102 cents 1136.102000 11: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 63.8980 cents 63.8980 1: 214.4410 cents 214.4410 2: 63.8980 cents 63.8980 3: 75.2710 cents 75.2710 4: 208.7540 cents 208.7540 5: 78.1150 cents 78.1150 6: 66.7410 cents 66.7410 7: 63.8980 cents 63.8980 8: 214.4410 cents 214.4410 9: 72.4280 cents 72.4280 10: 78.1150 cents 78.1150 11: 63.8980 cents 63.8980
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 3 63.89800 cents 1: 1 66.74100 cents 1: 1 72.42800 cents 1: 1 75.27100 cents 1: 2 78.11500 cents 1: 1 208.75400 cents 1: 2 214.44100 cents 2: 1 130.63900 cents 2: 1 139.16900 cents 2: 1 142.01300 cents 2: 1 144.85600 cents 2: 1 150.54300 cents 2: 3 278.33900 cents 2: 1 284.02500 cents 2: 2 286.86900 cents 3: 1 208.75400 cents 3: 1 214.44100 cents 3: 1 342.23700 cents 3: 1 345.08000 cents 3: 1 347.92300 cents 3: 1 350.76700 cents 3: 2 353.61000 cents 3: 1 356.45400 cents 3: 1 362.14000 cents 3: 1 364.98400 cents 4: 3 417.50800 cents 4: 1 420.35200 cents 4: 1 423.19500 cents 4: 1 426.03800 cents 4: 1 428.88100 cents 4: 3 428.88200 cents 4: 1 562.36400 cents 5: 2 492.77900 cents 5: 2 492.78000 cents 5: 3 495.62300 cents 5: 1 626.26200 cents 5: 1 631.94900 cents 5: 1 640.47900 cents 5: 1 643.32300 cents 6: 1 556.67700 cents 6: 1 559.52100 cents 6: 1 568.05100 cents 6: 1 573.73800 cents 6: 3 704.37700 cents 6: 2 707.22000 cents 6: 2 707.22100 cents 7: 1 637.63600 cents 7: 3 771.11800 cents 7: 1 771.11900 cents 7: 1 773.96200 cents 7: 1 776.80500 cents 7: 1 779.64800 cents 7: 3 782.49200 cents 8: 1 835.01600 cents 8: 1 837.86000 cents 8: 1 843.54600 cents 8: 2 846.39000 cents 8: 1 849.23300 cents 8: 1 852.07700 cents 8: 1 854.92000 cents 8: 1 857.76300 cents 8: 1 985.55900 cents 8: 1 991.24600 cents 9: 2 913.13100 cents 9: 1 915.97500 cents 9: 3 921.66100 cents 9: 1 1049.45700 cents 9: 1 1055.14400 cents 9: 1 1057.98700 cents 9: 1 1060.83100 cents 9: 1 1069.36100 cents 10: 2 985.55900 cents 10: 1 991.24600 cents 10: 2 1121.88500 cents 10: 1 1124.72900 cents 10: 1 1127.57200 cents 10: 1 1133.25900 cents 10: 3 1136.10200 cents Highest number of different intervals for one interval class: 10 Average number of different intervals per interval class: 7.80000 = 39/5
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 7 8 9 10 11 0.0 : 214.4 278.3 353.6 562.4 640.5 707.2 771.1 985.6 1058.0 1136.1 1200.0 214.4 : 63.9 139.2 347.9 426.0 492.8 556.7 771.1 843.5 921.7 985.6 1200.0 278.3 : 75.3 284.0 362.1 428.9 492.8 707.2 779.6 857.8 921.7 1136.1 1200.0 353.6 : 208.8 286.9 353.6 417.5 631.9 704.4 782.5 846.4 1060.8 1124.7 1200.0 562.4 : 78.1 144.9 208.8 423.2 495.6 573.7 637.6 852.1 916.0 991.2 1200.0 640.5 : 66.7 130.6 345.1 417.5 495.6 559.5 774.0 837.9 913.1 1121.9 1200.0 707.2 : 63.9 278.3 350.8 428.9 492.8 707.2 771.1 846.4 1055.1 1133.3 1200.0 771.1 : 214.4 286.9 365.0 428.9 643.3 707.2 782.5 991.2 1069.4 1136.1 1200.0 985.6 : 72.4 150.5 214.4 428.9 492.8 568.1 776.8 854.9 921.7 985.6 1200.0 1058.0: 78.1 142.0 356.5 420.4 495.6 704.4 782.5 849.2 913.1 1127.6 1200.0 1136.1: 63.9 278.3 342.2 417.5 626.3 704.4 771.1 835.0 1049.5 1121.9 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 63.8980 .. 214.4410 cents 150.54300 cents 63.89800 cents 2: 130.6390 .. 286.8690 cents 156.23000 cents -83.80200 cents 3: 208.7540 .. 364.9840 cents 156.23000 cents -78.11500 cents 4: 417.5080 .. 562.3640 cents 144.85600 cents 52.52400 cents 5: 492.7790 .. 643.3230 cents 150.54400 cents -69.58500 cents 6: 556.6770 .. 707.2210 cents 150.54400 cents -86.64600 cents 7: 637.6360 .. 782.4920 cents 144.85600 cents -69.58500 cents 8: 835.0160 .. 991.2460 cents 156.23000 cents 52.52400 cents 9: 913.1310 .. 1069.3610 cents 156.23000 cents -78.11500 cents 10: 985.5590 .. 1136.1020 cents 150.54300 cents -83.80200 cents
SHOW DATA
Number of notes : 11 -- Interval properties -- Smallest interval : 63.89800 cents, class 1 Average step (divided formal octave): 109.0909 cents Largest one step interval : 214.44100 cents Average / Smallest step : 1.707266 Largest / Average step : 1.965709 Largest / Smallest step : 3.355989 Median interval of one step : 75.27100 cents, amount: 1 Most common interval of one step : 63.89800 cents, amount: 3 Least squares average step : 116.38799 cents, oct.: 1280.26785 cents Scale is not proper Step pattern alph. order: ABCDEFBAGEB Step pattern size order : GADFEBAGCEA Scale is sum-free (all different intervals) Scale is not a Constant Structure Scale diversity : 1.328419 Lumma stability : 0.194037 Lumma impropriety factor : 0.439085 Rothenberg efficiency : 0.238017 redundancy: 0.761983 Efficiency x scale size : 2.618182 Number of different interval sizes : 74 = 7.40000 / class Number of one step interval sizes : 7 Highest interval variety : 10 Mean interval variety : 7.80000 = 39/5 Median interval variety : 7 Lowest interval variety : 7 Smallest interval difference : 0.00100 cents Number of recognisable fifths : 7, average 706.0019 cents Formal octave complements present : 3 = 27.2727% Limited inverse transpositions with margin 150.5430 cents: 4 -- Rational properties --
FIT/MODE
11: 2 0 1 2 1 0 1 2 0 1 1 N T3 SD: 37.5366 c. M: 76.1688 c. 13: 2 1 1 2 1 1 0 3 0 1 1 N S SD: 24.8531 c. M: 42.6024 c. 17: 3 1 1 3 1 1 1 3 1 1 1 N M DE S SD: 3.5567 c. M: 6.6902 c. Squares-11 69: 12 4 4 12 5 4 3 13 4 4 4 N SD: 4.7841 c. M: 5.9006 c. 73: 13 4 4 13 5 4 4 13 4 5 4 N SD: 3.3885 c. M: 8.4045 c. 78: 14 4 5 14 5 4 4 14 5 5 4 N SD: 3.0920 c. M:-6.8668 c. 90: 16 5 5 16 6 5 5 16 5 6 5 N SD: 2.9198 c. M: 6.9433 c. 92: 16 5 6 16 6 5 5 16 6 6 5 N SD: 3.3915 c. M: 7.2981 c. 94: 17 5 6 16 6 5 5 17 6 6 5 N SD: 2.9330 c. M: 5.1606 c. 95: 17 5 6 17 6 5 5 17 6 6 5 N SD: 2.3608 c. M:-6.0571 c. 99: 18 5 6 17 7 5 6 17 6 7 5 N SD: 3.3173 c. M: 4.7882 c. 100: 18 5 6 18 6 6 5 18 6 7 5 N SD: 2.9235 c. M: 5.6100 c. 107: 19 6 6 19 7 6 6 19 6 7 6 N SD: 2.7124 c. M: 5.9464 c. 109: 19 6 7 19 7 6 6 19 7 7 6 N SD: 2.8563 c. M: 5.7425 c. 111: 20 6 7 19 7 6 6 20 7 7 6 N SD: 2.4653 c. M: 4.5173 c. 112: 20 6 7 19 8 6 6 20 7 7 6 N SD: 1.9238 c. M: 5.2211 c. 113: 20 6 7 20 7 7 6 20 7 7 6 N SD: 2.7884 c. M:-4.2844 c. 117: 21 6 7 21 7 7 6 21 7 8 6 N SD: 2.4040 c. M: 4.8921 c. 118: 21 6 8 20 8 7 6 21 7 8 6 N SD: 2.4028 c. M:-4.6444 c. 126: 22 7 8 22 8 7 7 22 8 8 7 N SD: 2.5573 c. M: 4.9172 c. 128: 23 7 8 22 8 7 7 23 8 8 7 N SD: 2.2244 c. M: 4.0950 c. 129: 23 7 8 22 9 7 7 23 8 8 7 N SD: 1.6352 c. M: 4.2245 c. 135: 24 7 9 23 9 8 7 24 8 9 7 N SD: 1.9703 c. M:-3.8911 c. 139: 25 7 9 24 9 8 7 25 9 9 7 N SD: 2.0821 c. M:-3.8835 c. 145: 26 8 9 25 9 8 8 26 9 9 8 N SD: 2.1207 c. M: 3.7717 c. 146: 26 8 9 25 10 8 8 26 9 9 8 N SD: 1.5298 c. M: 3.4599 c. 150: 27 8 9 26 10 8 8 27 9 10 8 N SD: 1.9088 c. M: 3.2200 c. 151: 27 8 9 27 10 8 8 27 9 10 8 N SD: 1.6730 c. M: 3.9411 c. 156: 28 8 10 27 10 9 8 28 10 10 8 N SD: 1.6667 c. M:-3.5515 c. 163: 29 9 10 28 11 9 9 29 10 10 9 N SD: 1.5347 c. M: 2.8548 c. 167: 30 9 10 29 11 9 9 30 10 11 9 N SD: 1.6696 c. M: 3.0284 c. 168: 30 9 11 29 11 9 9 30 10 11 9 N SD: 1.4428 c. M:-3.5329 c. 169: 30 9 11 29 11 10 9 30 10 11 9 N SD: 1.6033 c. M:-2.8465 c. 173: 31 9 11 30 11 10 9 31 11 11 9 N SD: 1.4013 c. M:-3.2847 c. 180: 32 10 11 31 12 10 10 32 11 11 10 N SD: 1.5966 c. M: 2.7687 c. 184: 33 10 11 32 12 10 10 33 11 12 10 N SD: 1.5451 c. M: 2.8722 c. 185: 33 10 12 32 12 10 10 33 11 12 10 N SD: 1.3232 c. M:-3.1468 c. 187: 33 10 12 33 12 10 10 34 11 12 10 N SD: 1.6854 c. M: 2.6763 c. 188: 34 10 11 33 12 11 10 33 12 12 10 N SD: 1.8338 c. M: 2.5803 c. 190: 34 10 12 33 12 11 10 34 12 12 10 N SD: 1.2592 c. M:-3.0656 c. 207: 37 11 13 36 13 12 11 37 13 13 11 N SD: 1.2128 c. M:-2.8826 c. 211: 38 11 13 37 14 11 12 37 13 14 11 N SD: 1.4530 c. M:-2.3417 c. 212: 38 11 13 37 14 12 11 38 13 14 11 N SD: 1.2914 c. M: 2.6666 c. 220: 39 12 14 38 14 13 11 40 13 14 12 N SD: 1.4276 c. M: 2.2972 c. 224: 40 12 14 39 15 12 12 40 13 15 12 N SD: 1.0849 c. M: 2.6299 c. 229: 41 12 14 40 15 13 12 41 14 15 12 N SD: 1.0961 c. M: 2.5183 c. 233: 42 12 15 40 15 13 13 41 14 16 12 N SD: 1.6072 c. M: 2.1930 c. 234: 42 12 15 41 15 13 12 42 14 16 12 N SD: 1.3143 c. M:-2.3595 c. 241: 43 13 15 42 16 13 13 43 14 16 13 N SD: 0.9918 c. M: 2.3853 c. 243: 43 13 16 42 16 13 13 44 14 16 13 N SD: 1.4002 c. M: 2.0953 c. 244: 44 13 15 42 16 14 13 43 15 16 13 N SD: 1.2926 c. M:-1.9889 c. 245: 44 13 15 43 16 13 13 44 15 16 13 N SD: 1.1420 c. M: 2.1384 c. 246: 44 13 15 43 16 14 13 44 15 16 13 N SD: 0.9822 c. M: 2.3905 c. 251: 45 13 16 44 16 14 13 45 15 17 13 N SD: 1.0625 c. M:-1.7794 c. 258: 46 14 16 45 17 14 14 46 15 17 14 N SD: 0.9691 c. M: 2.1730 c. 263: 47 14 16 46 17 15 14 47 16 17 14 N SD: 0.9395 c. M: 2.2792 c. 268: 48 14 17 47 17 15 14 48 16 18 14 N SD: 0.8749 c. M:-1.8151 c. 285: 51 15 18 50 18 16 15 51 17 19 15 N SD: 0.7536 c. M:-1.8465 c. 299: 53 16 19 52 20 16 16 54 18 19 16 N SD: 1.1572 c. M: 1.7320 c. 301: 54 16 19 52 20 16 16 54 18 20 16 N SD: 1.0856 c. M: 1.6828 c. 302: 54 16 19 53 19 17 16 54 18 20 16 N SD: 0.6993 c. M:-1.8744 c. 315: 56 17 20 55 20 18 16 57 19 20 17 N SD: 1.0237 c. M: 1.5942 c. 318: 57 17 20 55 21 17 17 57 19 21 17 N SD: 0.9577 c. M: 1.5596 c. 319: 57 17 20 55 21 18 17 57 19 21 17 N SD: 0.6947 c. M: 1.8624 c. 320: 57 17 20 56 21 18 17 57 19 21 17 N SD: 0.8535 c. M:-1.5300 c. 322: 58 17 20 56 21 18 17 58 19 21 17 N SD: 0.9635 c. M:-2.0186 c. 324: 58 17 20 57 21 18 17 58 20 21 17 N SD: 0.8090 c. M: 1.7581 c. 336: 60 18 21 58 22 19 18 60 20 22 18 N SD: 0.6885 c. M: 1.6497 c. 346: 62 18 22 60 23 19 18 62 21 23 18 N SD: 0.7815 c. M:-1.4703 c. 353: 63 19 22 61 23 20 19 63 21 23 19 N SD: 0.7236 c. M: 1.4575 c. 356: 64 19 22 62 23 20 19 63 22 23 19 N SD: 0.8013 c. M:-1.4363 c. 358: 64 19 22 63 23 20 19 64 22 23 19 N SD: 0.6747 c. M: 1.6547 c. 362: 65 19 23 63 23 20 20 64 22 24 19 N SD: 0.9133 c. M:-1.2577 c. 363: 65 19 23 63 24 20 19 65 22 24 19 N SD: 0.5784 c. M:-1.0881 c. 380: 68 20 24 66 25 21 20 68 23 25 20 N SD: 0.3934 c. M:-0.7401 c. 397: 71 21 25 69 26 22 21 71 24 26 21 N SD: 0.2242 c. M:-0.4219 c. 414: 74 22 26 72 27 23 22 74 25 27 22 N SD: 0.0690 c. M:-0.1299 c. 845: 151 45 53 147 55 47 45 151 51 55 45 N SD: 0.0040 c. M: 0.0073 c.
FIT/HARMONIC
1 x x x x x x x x x x 2 S SD: 0.0000 cents 2 x x x x x 3 x x x x 4 S SD: 2.6325 cents 3 x x x 4 x x x 5 x x 6 S SD: 39.9700 cents 4 x x 5 x x 6 x 7 x x 8 S SD: 9.2778 cents 5 x 6 x 7 x x 8:9 x x 10 S SD: 13.6174 cents 6 x 7 x 8 x 9 x x 11 x 12 SD: 13.2220 cents 7:8 x 9 x 10 x 11:12:13 x 14 S SD: 14.6475 cents 8:9 x 10:11 x 12 x 14:15 x 16 S SD: 7.1815 cents 9:10 x 11:12:13 x 14:16 x 17:18 S SD: 10.1512 cents 10:11:12 x 14 x 15:16:18 x 19:20 S SD: 10.9884 cents 11:12:13:14:15:16 x 17:19:20:21:22 SD: 10.7915 cents 12 x 14:15 x 17:18:19:21:22:23:24 SD: 6.7411 cents 13 x 15:16:18:19 x 20:23:24:25:26 SD: 4.8667 cents 14:16 x 17:19:20:21:22:25:26:27:28 SD: 5.4103 cents 15:17:18 x 21:22 x 23:27:28:29:30 SD: 7.7322 cents 16:18:19:20:22:23:24:25:28:29:31:32 SD: 4.9925 cents 18:20:21:22:25:26:27:28:32:33:35:36 SD: 3.7833 cents 19 x 22:23:26:28:29:30:34:35:37:38 SD: 6.5156 cents 20:23 x 25:28:29:30:31:35:37:39:40 SD: 5.6163 cents 21:24:25:26:29:30:32:33:37:39:40:42 SD: 4.8819 cents 22:25:26:27:30:32:33:34:39:41:42:44 SD: 3.9744 cents 23:26:27:28:32:33:35:36:41:42:44:46 SD: 3.5809 cents 29:33:34:36:40:42:44:45:51:53:56:58 SD: 3.0853 cents 30:34:35:37:42:43:45:47:53:55:58:60 SD: 3.0093 cents 31:35:36:38:43:45:47:48:55:57:60:62 SD: 2.7698 cents 36:41:42:44:50:52:54:56:64:66:69:72 SD: 2.3831 cents 39:44:46:48:54:56:59:61:69:72:75:78 SD: 1.9397 cents 44:50:52:54:61:64:66:69:78:81:85:88 SD: 1.7737 cents 45:51:53:55:62:65:68:70:80:83:87:90 SD: 1.7631 cents 52:59:61:64:72:75:78:81:92:96:100:104 SD: 1.1966 cents 70:79:82:86:97:101:105:109:124:129:135:140 SD: 1.1455 cents 75:85:88:92:104:109:113:117:133:138:145:150 SD: 1.0930 cents 85:96:100:104:118:123:128:133:150:157:164:170 SD: 0.9857 cents 91:103:107:112:126:132:137:142:161:168:175:182 SD: 0.8425 cents 107:121:126:131:148:155:161:167:189:197:206:214 SD: 0.5957 cents 137:155:161:168:190:198:206:214:242:252:264:274 SD: 0.5454 cents 150:170:176:184:208:217:226:234:265:276:289:300 SD: 0.5415 cents 151:171:177:185:209:219:227:236:267:278:291:302 SD: 0.5408 cents 154:174:181:189:213:223:232:240:272:284:297:308 SD: 0.5034 cents 159:180:187:195:220:230:239:248:281:293:306:318 SD: 0.4131 cents 167:189:196:205:231:242:251:261:295:308:322:334 SD: 0.3748 cents 190:215:223:233:263:275:286:297:336:350:366:380 SD: 0.2993 cents 235:266:276:288:325:340:354:367:415:433:453:470 SD: 0.2909 cents 248:281:291:304:343:359:373:387:438:457:478:496 SD: 0.2807 cents 274:310:322:336:379:397:412:428:484:505:528:548 SD: 0.2521 cents 287:325:337:352:397:415:432:448:507:529:553:574 SD: 0.2389 cents 305:345:358:374:422:442:459:476:539:562:588:610 SD: 0.2287 cents 317:359:372:389:439:459:477:495:560:584:611:634 SD: 0.2150 cents 331:375:389:406:458:479:498:517:585:610:638:662 SD: 0.2146 cents 344:389:404:422:476:498:518:537:608:634:663:688 SD: 0.2066 cents 349:395:410:428:483:505:525:545:617:643:673:698 SD: 0.1535 cents 424:480:498:520:587:614:638:662:749:781:817:848 SD: 0.1276 cents 561:635:659:688:776:812:844:876:991:1034:1081:1122 SD: 0.1265 cents 579:655:680:710:801:838:871:904:1023:1067:1116:1158 SD: 0.1205 cents 583:660:685:715:807:844:877:910:1030:1074:1124:1166 SD: 0.1133 cents 592:670:695:726:819:857:891:924:1046:1091:1141:1184 SD: 0.1081 cents