Scala analysis: marvel11
Marvel[11] hobbit in 197et
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 115.736 cents 115.736040 2: 231.472 cents 231.472080 3: 268.020 cents 268.020300 4: 383.756 cents 383.756350 5: 499.492 cents 499.492390 6: 700.508 cents 700.507610 7: 816.244 cents 816.243650 8: 931.980 cents 931.979700 9: 968.528 cents 968.527920 10: 1084.264 cents 1084.263960 11: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 115.7360 cents 115.7360 1: 115.7360 cents 115.7360 2: 115.7360 cents 115.7360 3: 36.5482 cents 36.5482 4: 115.7360 cents 115.7360 5: 115.7360 cents 115.7360 6: 201.0152 cents 201.0152 7: 115.7360 cents 115.7360 8: 115.7361 cents 115.7361 9: 36.5482 cents 36.5482 10: 115.7360 cents 115.7360 11: 115.7360 cents 115.7360
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 2 36.54822 cents 1: 8 115.73604 cents 1: 1 201.01522 cents 2: 4 152.28426 cents 2: 5 231.47208 cents 2: 2 316.75126 cents 3: 6 268.02030 cents 3: 2 347.20812 cents 3: 3 432.48731 cents 4: 6 383.75635 cents 4: 1 462.94416 cents 4: 2 469.03553 cents 4: 2 548.22335 cents 5: 6 499.49239 cents 5: 4 584.77157 cents 5: 1 663.95940 cents 6: 1 536.04060 cents 6: 4 615.22843 cents 6: 6 700.50761 cents 7: 2 651.77665 cents 7: 2 730.96447 cents 7: 1 737.05584 cents 7: 6 816.24365 cents 8: 3 767.51269 cents 8: 2 852.79188 cents 8: 6 931.97970 cents 9: 2 883.24874 cents 9: 5 968.52792 cents 9: 4 1047.71574 cents 10: 1 998.98478 cents 10: 8 1084.26396 cents 10: 2 1163.45178 cents Highest number of different intervals for one interval class: 4 Average number of different intervals per interval class: 3.20000 = 16/5
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 7 8 9 10 11 0.0 : 115.7 231.5 268.0 383.8 499.5 700.5 816.2 932.0 968.5 1084.3 1200.0 115.7 : 115.7 152.3 268.0 383.8 584.8 700.5 816.2 852.8 968.5 1084.3 1200.0 231.5 : 36.5 152.3 268.0 469.0 584.8 700.5 737.1 852.8 968.5 1084.3 1200.0 268.0 : 115.7 231.5 432.5 548.2 664.0 700.5 816.2 932.0 1047.7 1163.5 1200.0 383.8 : 115.7 316.8 432.5 548.2 584.8 700.5 816.2 932.0 1047.7 1084.3 1200.0 499.5 : 201.0 316.8 432.5 469.0 584.8 700.5 816.2 932.0 968.5 1084.3 1200.0 700.5 : 115.7 231.5 268.0 383.8 499.5 615.2 731.0 767.5 883.2 999.0 1200.0 816.2 : 115.7 152.3 268.0 383.8 499.5 615.2 651.8 767.5 883.2 1084.3 1200.0 932.0 : 36.5 152.3 268.0 383.8 499.5 536.0 651.8 767.5 968.5 1084.3 1200.0 968.5 : 115.7 231.5 347.2 462.9 499.5 615.2 731.0 932.0 1047.7 1163.5 1200.0 1084.3: 115.7 231.5 347.2 383.8 499.5 615.2 816.2 932.0 1047.7 1084.3 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 36.5482 .. 201.0152 cents 164.46700 cents 36.54822 cents 2: 152.2843 .. 316.7513 cents 164.46700 cents -48.73096 cents 3: 268.0203 .. 432.4873 cents 164.46701 cents -48.73096 cents 4: 383.7564 .. 548.2233 cents 164.46700 cents -48.73096 cents 5: 499.4924 .. 663.9594 cents 164.46701 cents -48.73096 cents 6: 536.0406 .. 700.5076 cents 164.46701 cents -127.91880 cents 7: 651.7767 .. 816.2436 cents 164.46700 cents -48.73096 cents 8: 767.5127 .. 931.9797 cents 164.46701 cents -48.73096 cents 9: 883.2487 .. 1047.7157 cents 164.46700 cents -48.73096 cents 10: 998.9848 .. 1163.4518 cents 164.46700 cents -48.73096 cents
SHOW DATA
Number of notes : 11 -- Interval properties -- Smallest interval : 36.54822 cents, class 1 Average step (divided formal octave): 109.0909 cents Largest one step interval : 201.01522 cents Average / Smallest step : 2.984849 Largest / Average step : 1.842640 Largest / Smallest step : 5.500000 Median interval of one step : 115.73604 cents, amount: 8 Most common interval of one step : 115.73604 cents, amount: 8 Least squares average step : 109.77709 cents, oct.: 1207.54800 cents Scale is not proper Scale is a mode of a 197-tone equal temperament with octave 1200.000 cents degrees: 19 38 44 63 82 115 134 153 159 178 197 Least number of segments generator : 99 of 603.046 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 108 of 657.868 cents and inv. generated superset size: 39 = 28 more = 354.545% Number of contiguous 1-step segments: 0 Step pattern alph. order: AABAACAABAA Step pattern size order : MMSMMLMMSMM Interval vector is [ 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 8 0 0 0 0 0 4 0 0 0 0 0 0 0 1 0 0 0 0 5 0 0 0 0 0 6 0 0 0 0 0 0 0 2 0 0 0 0 2 0 0 0 0 0 6 0 0 0 0 0 0 0 3 0 0 0 0 1 2 0 0 0 0 6 0 0 0 0 0 1 0 2 0 0 0 0 0 4 0 0 ] Scale is a Constant Structure, by a margin of 12.18275 cents Scale diversity : 1.388746 Lumma stability : 0.060914 Lumma impropriety factor : 0.411167 Rothenberg efficiency : 0.428571 redundancy: 0.571429 Efficiency x scale size : 4.714286 Number of different interval sizes : 32 = 3.20000 / class Number of one step interval sizes : 3 Highest interval variety : 4 Mean interval variety : 3.20000 = 16/5 Median interval variety : 3 Lowest interval variety : 3 Smallest interval difference : 6.09137 cents Most common intervals : 115.73604 cents & inv., amount: 8 Most common triad is 0.0 115.736 1084.264 cents, amount: 5 Number of recognisable fifths : 6, average 700.5076 cents Scale contains two identical disjunct hexachords Formal octave complements present : 11 = 100.0000% Inversional symmetry on degrees : 0 Inversional symmetry on intervals : 5-6 -- Rational properties --
FIT/MODE
11: 1 1 0 1 1 2 1 1 0 1 2 N T3 SD: 58.7321 c. M: 102.4458 c. 12: 1 1 1 1 1 2 1 1 1 1 1 P M ME I SD: 21.4261 c. M: 31.9797 c. 17: 2 1 1 1 2 3 2 1 1 1 2 N I SD: 20.0884 c. M: 30.8152 c. 19: 2 2 0 2 2 3 2 2 0 2 2 N I SD: 12.4528 c. M: 21.1595 c. 21: 2 2 1 2 2 3 2 2 1 2 2 N T3 I SD: 12.1078 c. M: 17.6940 c. 22: 2 2 1 2 2 4 2 2 1 2 2 N I SD: 7.6322 c. M: 13.2903 c. 31: 3 3 1 3 3 5 3 3 1 3 3 N T3 I SD: 2.5066 c. M:-3.7334 c. 72: 7 7 2 7 7 12 7 7 2 7 7 N T3 I SD: 1.0954 c. M: 1.8613 c. 94: 9 9 3 9 9 16 9 9 3 9 9 N I SD: 1.1104 c. M: 1.6848 c. 103: 10 10 3 10 10 17 10 10 3 10 10 N T3 I SD: 1.0134 c. M: 1.5376 c. 125: 12 12 4 12 12 21 12 12 4 12 12 N I SD: 0.6309 c. M: 1.0721 c. 166: 16 16 5 16 16 28 16 16 5 16 16 N I SD: 0.4681 c. M:-0.6972 c. 197: 19 19 6 19 19 33 19 19 6 19 19 N I SD: 0.0000 c. M: 0.0000 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: 0.7237 cents 3 x x x x 4 x x 5 x x 6 S SD: 15.8810 cents 4 x x x 5 x 6 x x 7 x 8 S SD: 0.7384 cents 5 x x 6 x 7 x 8 x 9 x 10 S SD: 21.5168 cents 6 x x 7 x 8:9 x 10 x 11:12 S SD: 9.8479 cents 7 x 8 x 9 x x 11:12 x 13:14 SD: 10.4522 cents 8 x 9 x 10:11:12:13 x 14:15:16 S SD: 7.9648 cents 9 x 10 x 11:12:13:14:15:16:17:18 S SD: 13.0320 cents 10:11 x 12 x 13:15:16:17:18:19:20 SD: 11.1472 cents 11:12 x 13:14:15:16:18:19 x 21:22 SD: 10.9192 cents 12:13 x 14:15:16:18:19 x 21:22:24 SD: 5.1874 cents 13:14:15 x 16:17:19:21:22:23:24:26 SD: 7.5313 cents 14:15:16 x 17:19:21:22:24:25:26:28 SD: 7.5360 cents 15:16:17:18:19:20:22:24 x 26:28:30 S SD: 6.9586 cents 16:17:18:19:20:21:24:26:27:28:30:32 S SD: 5.6528 cents 18:19 x 21:22:24:27:29:31 x 34:36 SD: 5.2946 cents 19:20 x 22:24:25:28:30 x 33:36:38 SD: 7.1186 cents 20:21:23 x 25:27:30:32:34:35:37:40 SD: 4.5312 cents 22:24:25:26:27:29:33:35:38 x 41:44 SD: 5.8952 cents 23:25:26:27:29:31:34:37:39:40:43:46 SD: 4.9185 cents 24:26:27:28:30:32:36:38:41:42:45:48 SD: 3.8149 cents 25:27 x 29:31:33:37:40:43:44:47:50 SD: 4.0243 cents 26:28:30 x 32:35:39:42:45 x 49:52 SD: 4.8666 cents 27:29:31:32:34:36:40:43:46:47:51:54 SD: 4.0745 cents 28:30:32:33:35:37:42:45:48:49:52:56 SD: 2.5164 cents 32:34 x 37:40:43:48:51:55:56:60:64 SD: 2.6129 cents 36:38:41:42:45:48:54:58:62:63:67:72 SD: 2.5601 cents 40:43:46:47:50:53:60:64:69:70:75:80 SD: 2.3170 cents 41:44:47:48:51:55:61:66:70:72:77:82 SD: 2.1396 cents 42:45:48:49:52:56:63:67:72:73:79:84 SD: 2.0313 cents 48:51:55:56:60:64:72:77:82:84:90:96 SD: 1.2518 cents 60:64:69:70:75:80:90:96:103:105:112:120 SD: 1.1891 cents 72:77:82:84:90:96:108:115:123:126:135:144 SD: 1.0086 cents 84:90:96:98:105:112:126:135:144:147:157:168 SD: 0.6809 cents 125:134:143:146:156:167:187:200:214:219:234:250 SD: 0.6614 cents 126:135:144:147:157:168:189:202:216:220:236:252 SD: 0.6300 cents 132:141:151:154:165:176:198:212:226:231:247:264 SD: 0.5267 cents 156:167:178:182:195:208:234:250:267:273:292:312 SD: 0.5007 cents 161:172:184:188:201:215:241:258:276:282:301:322 SD: 0.3401 cents 216:231:247:252:270:288:324:346:370:378:404:432 SD: 0.3316 cents 233:249:266:272:291:311:349:373:399:408:436:466 SD: 0.3265 cents 245:262:280:286:306:327:367:393:420:429:458:490 SD: 0.2929 cents 275:294:314:321:343:367:412:441:471:481:514:550 SD: 0.2885 cents 279:298:319:326:348:372:418:447:478:488:522:558 SD: 0.2826 cents 287:307:328:335:358:383:430:460:492:502:537:574 SD: 0.1910 cents 335:358:383:391:418:447:502:537:574:586:627:670 SD: 0.1530 cents 407:435:465:475:508:543:610:652:697:712:761:814 SD: 0.1517 cents 419:448:479:489:523:559:628:671:718:733:784:838 SD: 0.1301 cents 503:538:575:587:628:671:754:806:862:880:941:1006 SD: 0.1294 cents 579:619:662:676:723:773:868:928:992:1013:1083:1158 SD: 0.1253 cents 580:620:663:677:724:774:869:929:994:1015:1085:1160 SD: 0.1110 cents