Scala analysis: dhexmarv
Dualhex in 11-limit minimax Marvel ({225/224, 385/384}-planar)
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 115.803 cents 115.802647 2: 151.994 cents 151.994179 3: 267.797 cents 267.796826 4: 383.599 cents 383.599473 5: 468.993 cents 468.992587 6: 535.594 cents 535.593652 7: 700.598 cents 700.597880 8: 767.199 cents 767.198946 9: 852.592 cents 852.592059 10: 968.395 cents 968.394706 11: 1084.197 cents 1084.197353 12: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 115.8026 cents 115.8026 1: 115.8026 cents 115.8026 2: 36.1915 cents 36.1915 3: 115.8026 cents 115.8026 4: 115.8026 cents 115.8026 5: 85.3931 cents 85.3931 6: 66.6011 cents 66.6011 7: 165.0042 cents 165.0042 8: 66.6011 cents 66.6011 9: 85.3931 cents 85.3931 10: 115.8026 cents 115.8026 11: 115.8026 cents 115.8026 12: 115.8026 cents 115.8026
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 36.19153 cents 1: 2 66.60107 cents 1: 2 85.39311 cents 1: 6 115.80265 cents 1: 1 165.00423 cents 2: 4 151.99418 cents 2: 2 201.19576 cents 2: 6 231.60529 cents 3: 5 267.79683 cents 3: 1 298.20636 cents 3: 4 316.99841 cents 3: 2 347.40794 cents 4: 1 353.18994 cents 4: 7 383.59947 cents 4: 3 432.80105 cents 4: 1 463.21059 cents 5: 1 419.79101 cents 5: 2 468.99259 cents 5: 6 499.40212 cents 5: 3 548.60370 cents 6: 1 535.59365 cents 6: 5 584.79523 cents 6: 5 615.20477 cents 6: 1 664.40635 cents 7: 3 651.39630 cents 7: 6 700.59788 cents 7: 2 731.00741 cents 7: 1 780.20900 cents 8: 1 736.78941 cents 8: 3 767.19895 cents 8: 7 816.40053 cents 8: 1 846.81006 cents 9: 2 852.59206 cents 9: 4 883.00159 cents 9: 1 901.79364 cents 9: 5 932.20317 cents 10: 6 968.39471 cents 10: 2 998.80424 cents 10: 4 1048.00582 cents 11: 1 1034.99577 cents 11: 6 1084.19735 cents 11: 2 1114.60689 cents 11: 2 1133.39894 cents 11: 1 1163.80847 cents Highest number of different intervals for one interval class: 5 Average number of different intervals per interval class: 4.00000 = 4
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 7 8 9 10 11 12 0.0 : 115.8 152.0 267.8 383.6 469.0 535.6 700.6 767.2 852.6 968.4 1084.2 1200.0 115.8 : 36.2 152.0 267.8 353.2 419.8 584.8 651.4 736.8 852.6 968.4 1084.2 1200.0 152.0 : 115.8 231.6 317.0 383.6 548.6 615.2 700.6 816.4 932.2 1048.0 1163.8 1200.0 267.8 : 115.8 201.2 267.8 432.8 499.4 584.8 700.6 816.4 932.2 1048.0 1084.2 1200.0 383.6 : 85.4 152.0 317.0 383.6 469.0 584.8 700.6 816.4 932.2 968.4 1084.2 1200.0 469.0 : 66.6 231.6 298.2 383.6 499.4 615.2 731.0 846.8 883.0 998.8 1114.6 1200.0 535.6 : 165.0 231.6 317.0 432.8 548.6 664.4 780.2 816.4 932.2 1048.0 1133.4 1200.0 700.6 : 66.6 152.0 267.8 383.6 499.4 615.2 651.4 767.2 883.0 968.4 1035.0 1200.0 767.2 : 85.4 201.2 317.0 432.8 548.6 584.8 700.6 816.4 901.8 968.4 1133.4 1200.0 852.6 : 115.8 231.6 347.4 463.2 499.4 615.2 731.0 816.4 883.0 1048.0 1114.6 1200.0 968.4 : 115.8 231.6 347.4 383.6 499.4 615.2 700.6 767.2 932.2 998.8 1084.2 1200.0 1084.2: 115.8 231.6 267.8 383.6 499.4 584.8 651.4 816.4 883.0 968.4 1084.2 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 36.1915 .. 165.0042 cents 128.81270 cents 36.19153 cents 2: 151.9942 .. 231.6053 cents 79.61111 cents -13.01005 cents 3: 267.7968 .. 347.4079 cents 79.61111 cents 36.19153 cents 4: 353.1899 .. 463.2106 cents 110.02065 cents 5.78200 cents 5: 419.7910 .. 548.6037 cents 128.81270 cents -43.41958 cents 6: 535.5937 .. 664.4063 cents 128.81270 cents -13.01005 cents 7: 651.3963 .. 780.2090 cents 128.81270 cents -13.01005 cents 8: 736.7894 .. 846.8101 cents 110.02065 cents -43.41958 cents 9: 852.5921 .. 932.2032 cents 79.61112 cents 5.78200 cents 10: 968.3947 .. 1048.0058 cents 79.61111 cents 36.19153 cents 11: 1034.9958 .. 1163.8085 cents 128.81270 cents -13.01005 cents
SHOW DATA
Number of notes : 12 -- Interval properties -- Smallest interval : 36.19153 cents, class 1 Average step (divided formal octave): 100.0000 cents Largest one step interval : 165.00423 cents Average / Smallest step : 2.763077 Largest / Average step : 1.650042 Largest / Smallest step : 4.559194 Median interval of one step : 115.80265 cents, amount: 6 Most common interval of one step : 115.80265 cents, amount: 6 Least squares average step : 96.98666 cents, oct.: 1163.83989 cents Scale is not proper Step pattern alph. order: ABAACDEDCAAA Step pattern size order : DADDCBEBCDDD Scale is a Constant Structure, by a margin of 5.78200 cents Scale diversity : 1.477642 Lumma stability : 0.130275 Lumma impropriety factor : 0.115733 Rothenberg efficiency : 0.329624 redundancy: 0.670376 Efficiency x scale size : 3.955483 Number of different interval sizes : 44 = 4.00000 / class Number of one step interval sizes : 5 Highest interval variety : 5 Mean interval variety : 4.00000 = 4 Median interval variety : 3 Lowest interval variety : 3 Smallest interval difference : 5.78200 cents Most common intervals : 383.59947 cents & inv., amount: 7 Most common triad is 0.0 383.599 816.401 cents, amount: 3 Number of recognisable fifths : 6, average 700.5979 cents Formal octave complements present : 3 = 25.0000% -- Rational properties --
FIT/MODE
12: 1 0 1 1 1 1 1 1 1 1 1 2 N T3 SD: 64.3777 c. M: 100.5979 c. 13: 1 1 1 1 1 1 2 0 1 1 2 1 N D3 SD: 25.2258 c. M: 45.3178 c. 14: 1 1 1 1 1 1 2 1 1 1 1 2 P D3 S SD: 27.6147 c. M: 55.6259 c. 16: 1 1 1 2 1 1 2 1 1 2 1 2 P D3 SD: 24.1053 c. M: 42.7968 c. 17: 2 0 2 2 1 1 2 1 1 2 2 1 N D3 SD: 23.5025 c. M:-45.2144 c. 18: 2 0 2 2 1 1 3 1 1 2 1 2 N SD: 19.5537 c. M:-32.8011 c. 19: 2 0 2 2 1 1 3 1 1 2 2 2 N SD: 19.0015 c. M: 31.5394 c. 20: 2 1 1 2 2 1 3 1 1 2 2 2 N T3 SD: 15.9663 c. M:-28.0058 c. 21: 2 1 2 2 1 1 3 1 2 2 2 2 N SD: 14.1737 c. M: 24.3418 c. 22: 2 1 2 2 2 1 3 1 2 2 2 2 P D3 SD: 11.1845 c. M:-21.9165 c. 25: 2 1 3 2 2 1 4 1 2 2 3 2 N SD: 12.9520 c. M:-20.2032 c. 28: 3 1 2 3 2 2 3 2 2 3 2 3 N SD: 12.4236 c. M:-21.5492 c. 29: 3 1 2 3 2 2 4 2 2 2 3 3 N SD: 12.7145 c. M: 19.5210 c. 31: 3 1 3 3 2 2 4 2 2 3 3 3 N SD: 3.6030 c. M:-6.9946 c. 41: 4 1 4 4 3 2 6 2 3 4 4 4 N SD: 4.1279 c. M: 8.7644 c. 63: 6 2 6 6 5 3 9 3 5 6 6 6 N SD: 3.4789 c. M:-7.1979 c. 69: 7 2 6 7 5 4 9 4 5 7 6 7 N SD: 4.2012 c. M: 6.9273 c. 72: 7 2 7 7 5 4 10 4 5 7 7 7 N SD: 1.5188 c. M: 2.5921 c. 103: 10 3 10 10 7 6 14 6 7 10 10 10 N SD: 1.3807 c. M: 2.9732 c. 125: 12 4 12 12 9 7 17 7 9 12 12 12 N SD: 1.1504 c. M:-2.0063 c. 166: 16 5 16 16 12 9 23 9 12 16 16 16 N SD: 0.5090 c. M: 0.9339 c. 197: 19 6 19 19 14 11 27 11 14 19 19 19 N SD: 0.2108 c. M:-0.4470 c. 363: 35 11 35 35 26 20 50 20 26 35 35 35 N SD: 0.1996 c. M:-0.4289 c. 435: 42 13 42 42 31 24 60 24 31 42 42 42 N SD: 0.1981 c. M: 0.4212 c. 466: 45 14 45 45 33 26 64 26 33 45 45 45 N SD: 0.1497 c. M: 0.3231 c. 560: 54 17 54 54 40 31 77 31 40 54 54 54 N SD: 0.1474 c. M:-0.2931 c. 632: 61 19 61 61 45 35 87 35 45 61 61 61 N SD: 0.0707 c. M: 0.1506 c. 829: 80 25 80 80 59 46 114 46 59 80 80 80 N SD: 0.0049 c. M: 0.0096 c.
FIT/HARMONIC
1 x x x x x x x x x x x 2 S SD: 0.0000 cents 2 x x x x x x 3 x x x x 4 S SD: 0.6786 cents 3 x x x x 4 x x x 5 x x 6 S SD: 14.3495 cents 4 x x x 5 x x 6 x x 7 x 8 S SD: 0.7663 cents 5 x x 6 x x 7 x x 8:9 x 10 S SD: 18.3574 cents 6 x x 7 x 8 x 9 x 10 x 11:12 S SD: 9.2335 cents 7 x x 8 x 9:10 x 11 x 12:13:14 S SD: 14.8677 cents 8 x 9 x 10 x 11:12 x 13:14:15:16 S SD: 6.9754 cents 9 x 10 x 11:12 x 13:14:15:16:17:18 S SD: 10.6790 cents 10 x 11:12 x 13:14:15 x 16:18:19:20 S SD: 10.8545 cents 11 x 12:13:14 x 15:16:17:18:19:21:22 SD: 7.8915 cents 12 x 13:14:15:16 x 18:19:20:21:22:24 S SD: 6.3728 cents 13:14 x 15:16:17:18:19:20:21:23:24:26 SD: 6.8551 cents 14:15 x 16:17:18:19:21:22:23:24:26:28 SD: 7.3225 cents 15:16 x 18:19:20 x 22:23:25:26:28:30 SD: 8.5085 cents 16:17 x 19:20:21:22:24:25:26:28:30:32 SD: 3.4643 cents 22 x 24:26:27:29:30:33:34:36:38:41:44 SD: 4.1782 cents 23 x 25:27:29:30:31:34:36:38:40:43:46 SD: 3.9956 cents 24 x 26:28:30:31:33:36:37:39:42:45:48 SD: 3.6232 cents 25:27 x 29:31:33:34:37:39:41:44:47:50 SD: 3.3714 cents 26:28 x 30:32:34:35:39:41:43:45:49:52 SD: 4.9073 cents 27:29 x 32:34:35:37:40:42:44:47:51:54 SD: 4.3650 cents 28:30:31:33:35:37:38:42:44:46:49:52:56 SD: 3.2850 cents 30:32:33:35:37:39:41:45:47:49:52:56:60 SD: 2.9344 cents 32:34:35:37:40:42:44:48:50:52:56:60:64 SD: 2.4291 cents 36:38:39:42:45:47:49:54:56:59:63:67:72 SD: 2.4024 cents 37 x 40:43:46:49:50:55:58:61:65:69:74 SD: 3.4854 cents 38:41 x 44:47:50:52:57:59:62:66:71:76 SD: 2.8773 cents 40:43:44:47:50:52:55:60:62:65:70:75:80 SD: 2.7595 cents 41:44:45:48:51:54:56:61:64:67:72:77:82 SD: 1.9272 cents 44:47:48:51:55:58:60:66:69:72:77:82:88 SD: 1.7267 cents 52:56:57:61:65:68:71:78:81:85:91:97:104 SD: 1.5533 cents 55:59:60:64:69:72:75:82:86:90:96:103:110 SD: 1.4521 cents 61:65:67:71:76:80:83:91:95:100:107:114:122 SD: 1.3981 cents 64:68:70:75:80:84:87:96:100:105:112:120:128 SD: 1.3668 cents 68:73:74:79:85:89:93:102:106:111:119:127:136 SD: 1.2802 cents 72:77:79:84:90:94:98:108:112:118:126:135:144 SD: 1.0929 cents 77:82:84:90:96:101:105:115:120:126:135:144:154 SD: 0.8826 cents 88:94:96:103:110:115:120:132:137:144:154:165:176 SD: 0.7806 cents 100:107:109:117:125:131:136:150:156:164:175:187:200 SD: 0.6982 cents 129:138:141:151:161:169:176:193:201:211:226:241:258 SD: 0.6245 cents 132:141:144:154:165:173:180:198:206:216:231:247:264 SD: 0.4445 cents 174:186:190:203:217:228:237:261:271:285:304:325:348 SD: 0.3843 cents 215:230:235:251:268:282:293:322:335:352:376:402:430 SD: 0.3113 cents 251:268:274:293:313:329:342:376:391:411:439:470:502 SD: 0.3068 cents 262:280:286:306:327:344:357:393:408:429:458:490:524 SD: 0.2991 cents 263:281:287:307:328:345:358:394:410:430:460:492:526 SD: 0.2955 cents 273:292:298:319:341:358:372:409:425:447:478:511:546 SD: 0.2825 cents 287:307:313:335:358:376:391:430:447:470:502:537:574 SD: 0.2575 cents 303:324:331:354:378:397:413:454:472:496:530:567:606 SD: 0.2207 cents 347:371:379:405:433:455:473:520:540:568:607:649:694 SD: 0.1698 cents 447:478:488:522:558:586:609:670:696:731:782:836:894 SD: 0.1328 cents 479:512:523:559:598:628:653:718:746:784:838:896:958 SD: 0.1092 cents