Scala analysis: blueji-cataclysmic
blueji tempered in 13-limit POTE-tuned cataclysmic
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 112.603 cents 112.603470 2: 204.433 cents 204.432580 3: 317.036 cents 317.036050 4: 385.180 cents 385.180240 5: 497.784 cents 497.783710 6: 589.613 cents 589.612820 7: 702.216 cents 702.216290 8: 814.820 cents 814.819760 9: 882.964 cents 882.963950 10: 1019.252 cents 1019.252340 11: 1087.397 cents 1087.396530 12: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 112.6035 cents 112.6035 1: 112.6035 cents 112.6035 2: 91.8291 cents 91.8291 3: 112.6035 cents 112.6035 4: 68.1442 cents 68.1442 5: 112.6035 cents 112.6035 6: 91.8291 cents 91.8291 7: 112.6035 cents 112.6035 8: 112.6035 cents 112.6035 9: 68.1442 cents 68.1442 10: 136.2884 cents 136.2884 11: 68.1442 cents 68.1442 12: 112.6035 cents 112.6035
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 3 68.14419 cents 1: 2 91.82911 cents 1: 6 112.60347 cents 1: 1 136.28839 cents 2: 4 180.74766 cents 2: 6 204.43258 cents 2: 2 225.20694 cents 3: 3 272.57677 cents 3: 3 293.35113 cents 3: 6 317.03605 cents 4: 8 385.18024 cents 4: 4 429.63952 cents 5: 1 477.00935 cents 5: 9 497.78371 cents 5: 2 521.46863 cents 6: 2 565.92790 cents 6: 4 589.61282 cents 6: 4 610.38718 cents 6: 2 634.07210 cents 7: 2 678.53137 cents 7: 9 702.21629 cents 7: 1 722.99065 cents 8: 4 770.36048 cents 8: 8 814.81976 cents 9: 6 882.96395 cents 9: 3 906.64887 cents 9: 3 927.42323 cents 10: 2 974.79306 cents 10: 6 995.56742 cents 10: 4 1019.25234 cents 11: 1 1063.71161 cents 11: 6 1087.39653 cents 11: 2 1108.17089 cents 11: 3 1131.85581 cents Highest number of different intervals for one interval class: 4 Average number of different intervals per interval class: 3.09091 = 34/11
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 7 8 9 10 11 12 0.0 : 112.6 204.4 317.0 385.2 497.8 589.6 702.2 814.8 883.0 1019.3 1087.4 1200.0 112.6 : 91.8 204.4 272.6 385.2 477.0 589.6 702.2 770.4 906.6 974.8 1087.4 1200.0 204.4 : 112.6 180.7 293.4 385.2 497.8 610.4 678.5 814.8 883.0 995.6 1108.2 1200.0 317.0 : 68.1 180.7 272.6 385.2 497.8 565.9 702.2 770.4 883.0 995.6 1087.4 1200.0 385.2 : 112.6 204.4 317.0 429.6 497.8 634.1 702.2 814.8 927.4 1019.3 1131.9 1200.0 497.8 : 91.8 204.4 317.0 385.2 521.5 589.6 702.2 814.8 906.6 1019.3 1087.4 1200.0 589.6 : 112.6 225.2 293.4 429.6 497.8 610.4 723.0 814.8 927.4 995.6 1108.2 1200.0 702.2 : 112.6 180.7 317.0 385.2 497.8 610.4 702.2 814.8 883.0 995.6 1087.4 1200.0 814.8 : 68.1 204.4 272.6 385.2 497.8 589.6 702.2 770.4 883.0 974.8 1087.4 1200.0 883.0 : 136.3 204.4 317.0 429.6 521.5 634.1 702.2 814.8 906.6 1019.3 1131.9 1200.0 1019.3: 68.1 180.7 293.4 385.2 497.8 565.9 678.5 770.4 883.0 995.6 1063.7 1200.0 1087.4: 112.6 225.2 317.0 429.6 497.8 610.4 702.2 814.8 927.4 995.6 1131.9 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 68.1442 .. 136.2884 cents 68.14420 cents 68.14419 cents 2: 180.7477 .. 225.2069 cents 44.45928 cents 44.45927 cents 3: 272.5768 .. 317.0360 cents 44.45928 cents 47.36983 cents 4: 385.1802 .. 429.6395 cents 44.45928 cents 68.14419 cents 5: 477.0093 .. 521.4686 cents 44.45928 cents 47.36983 cents 6: 565.9279 .. 634.0721 cents 68.14420 cents 44.45927 cents 7: 678.5314 .. 722.9907 cents 44.45928 cents 44.45927 cents 8: 770.3605 .. 814.8198 cents 44.45928 cents 47.36983 cents 9: 882.9639 .. 927.4232 cents 44.45928 cents 68.14419 cents 10: 974.7931 .. 1019.2523 cents 44.45928 cents 47.36983 cents 11: 1063.7116 .. 1131.8558 cents 68.14420 cents 44.45927 cents
SHOW DATA
Number of notes : 12 -- Interval properties -- Smallest interval : 68.14419 cents, class 1 Average step (divided formal octave): 100.0000 cents Largest one step interval : 136.28839 cents Average / Smallest step : 1.467477 Largest / Average step : 1.362884 Largest / Smallest step : 2.000000 Median interval of one step : 112.60347 cents, amount: 6 Most common interval of one step : 112.60347 cents, amount: 6 Least squares average step : 99.96081 cents, oct.: 1199.52971 cents Scale is strictly proper Step pattern alph. order: ABACABAACDCA Step pattern size order : CBCACBCCADAC Scale is a Constant Structure, by a margin of 44.45927 cents Scale diversity : 1.352107 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.533244 Rothenberg efficiency : 0.439743 redundancy: 0.560257 Efficiency x scale size : 5.276912 Number of different interval sizes : 34 = 3.09091 / class Number of one step interval sizes : 4 Highest interval variety : 4 Mean interval variety : 3.09091 = 34/11 Median interval variety : 2 Lowest interval variety : 2 Smallest interval difference : 20.77436 cents Most common intervals : 497.78371 cents & inv., amount: 9 Most common triad is 0.0 497.784 702.216 cents, amount: 6 Number of recognisable fifths : 9, average 702.2163 cents Best fifths form a closed circle Formal octave complements present : 9 = 75.0000% Limited inverse transpositions : 7 Inversional symmetry on intervals : 3-4 9-10 -- Rational properties --
FIT/MODE
12: 1 1 1 1 1 1 1 1 1 1 1 1 SP B ME I SD: 12.4010 c. M: 19.2523 c. Twelve-tone Chromatic (1/11-comma) 19: 2 1 2 1 2 1 2 2 1 2 1 2 P M ME SD: 10.4791 c. M: 21.1918 c. Genus diatonico-chromaticum, Yasser's Supradiatonic inverse 22: 2 2 2 1 2 2 2 2 1 3 1 2 P D3 SD: 8.8559 c. M:-17.1113 c. 29: 3 2 3 1 3 2 3 3 1 4 1 3 P SD: 10.5324 c. M:-15.2304 c. 31: 3 2 3 2 3 2 3 3 2 3 2 3 SP M ME SD: 6.8464 c. M: 12.8007 c. Genus diatonico-chromaticum 34: 3 3 3 2 3 3 3 3 2 4 2 3 SP D3 SD: 5.1364 c. M:-10.3872 c. 41: 4 3 4 2 4 3 4 4 2 5 2 4 SP SD: 3.8411 c. M:-5.1379 c. 53: 5 4 5 3 5 4 5 5 3 6 3 5 SP SD: 0.4616 c. M: 0.9336 c. Genus diatonico-chromaticum 246: 23 19 23 14 23 19 23 23 14 28 14 23 SP SD: 0.3121 c. M:-0.6311 c. 299: 28 23 28 17 28 23 28 28 17 34 17 28 SP SD: 0.1749 c. M:-0.3537 c. 352: 33 27 33 20 33 27 33 33 20 40 20 33 SP SD: 0.0791 c. M:-0.1599 c. 405: 38 31 38 23 38 31 38 38 23 46 23 38 SP SD: 0.0083 c. M:-0.0168 c. 1673: 157 128 157 95 157 128 157 157 95 190 95 157 SP SD: 0.0066 c. M: 0.0133 c. 2078: 195 159 195 118 195 159 195 195 118 236 118 195 SP SD: 0.0037 c. M: 0.0074 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: 0.1306 cents 3 x x x x 4 x x x 5 x x 6 S SD: 0.4730 cents 4 x x x 5 x x 6 x x 7 x 8 S SD: 12.6100 cents 5 x x 6 x x 7 x 8 x 9 x 10 S SD: 1.5019 cents 6 x x 7 x 8 x 9 x 10:11 x 12 S SD: 9.7543 cents 7 x 8 x 9 x 10 x 11:12 x 13:14 S SD: 12.6091 cents 8 x 9 x 10 x 11:12:13 x 14:15:16 S SD: 8.5446 cents 9 x 10:11 x 12:13 x 14:15:16:17:18 S SD: 9.1842 cents 10 x 11:12 x 13:14:15:16:17:18:19:20 S SD: 7.3136 cents 11:12 x 13:14:15 x 17 x 18:20:21:22 SD: 10.9108 cents 12:13 x 14:15:16:17:18:19:20:22 x 24 S SD: 6.8200 cents 13:14:15 x 16:17:18:20:21:22:23:24:26 S SD: 8.7013 cents 14:15:16:17 x 19:20:21:22:23:25:26:28 SD: 6.3906 cents 15:16:17:18:19:20:21:23:24:25:27:28:30 SD: 3.9644 cents 18:19:20:22 x 24:25:27:29:30:32:34:36 SD: 5.0189 cents 20:21:23:24:25:27:28:30:32:33:36:37:40 SD: 4.9216 cents 24:26:27:29:30:32:34:36:38:40:43:45:48 SD: 3.1568 cents 30:32:34:36:37:40:42:45:48:50:54:56:60 SD: 2.2743 cents 40:43:45:48:50:53:56:60:64:67:72:75:80 SD: 1.7287 cents 55:59:62:66:69:73:77:83:88:92:99:103:110 SD: 1.7134 cents 56:60:63:67:70:75:79:84:90:93:101:105:112 SD: 1.3497 cents 60:64:68:72:75:80:84:90:96:100:108:112:120 SD: 1.3371 cents 64:68:72:77:80:85:90:96:102:107:115:120:128 SD: 1.3013 cents 72:77:81:86:90:96:101:108:115:120:130:135:144 SD: 1.0227 cents 88:94:99:106:110:117:124:132:141:147:159:165:176 SD: 0.9281 cents 96:102:108:115:120:128:135:144:154:160:173:180:192 SD: 0.8085 cents 104:111:117:125:130:139:146:156:167:173:187:195:208 SD: 0.7041 cents 120:128:135:144:150:160:169:180:192:200:216:225:240 SD: 0.3838 cents 168:179:189:202:210:224:236:252:269:280:303:315:336 SD: 0.3827 cents 192:205:216:231:240:256:270:288:307:320:346:360:384 SD: 0.3758 cents 208:222:234:250:260:277:292:312:333:346:375:390:416 SD: 0.3552 cents 224:239:252:269:280:299:315:336:359:373:404:420:448 SD: 0.3119 cents 254:271:286:305:317:339:357:381:407:423:458:476:508 SD: 0.2851 cents 264:282:297:317:330:352:371:396:423:440:476:495:528 SD: 0.2719 cents 288:307:324:346:360:384:405:432:461:480:519:540:576 SD: 0.2556 cents 313:334:352:376:391:417:440:470:501:521:564:587:626 SD: 0.2317 cents 318:339:358:382:397:424:447:477:509:530:573:596:636 SD: 0.2308 cents 328:350:369:394:410:437:461:492:525:546:591:615:656 SD: 0.1776 cents 358:382:403:430:447:477:503:537:573:596:645:671:716 SD: 0.1550 cents 414:442:466:497:517:552:582:621:663:689:746:776:828 SD: 0.1477 cents 478:510:538:574:597:637:672:717:765:796:861:896:956 SD: 0.1090 cents 582:621:655:699:727:776:818:873:932:969:1049:1091:1164 SD: 0.0950 cents