Scala analysis: mothra11sub
Mothra[11] with subminor third beats
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 39.858 cents 39.857902 2: 232.028 cents 232.028420 3: 271.886 cents 271.886322 4: 464.057 cents 464.056839 5: 503.915 cents 503.914741 6: 696.085 cents 696.085259 7: 735.943 cents 735.943161 8: 928.114 cents 928.113678 9: 967.972 cents 967.971580 10: 1160.142 cents 1160.142098 11: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 39.8579 cents 39.8579 1: 39.8579 cents 39.8579 2: 192.1705 cents 192.1705 3: 39.8579 cents 39.8579 4: 192.1705 cents 192.1705 5: 39.8579 cents 39.8579 6: 192.1705 cents 192.1705 7: 39.8579 cents 39.8579 8: 192.1705 cents 192.1705 9: 39.8579 cents 39.8579 10: 192.1705 cents 192.1705 11: 39.8579 cents 39.8579
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 6 39.85790 cents 1: 5 192.17052 cents 2: 1 79.71580 cents 2: 10 232.02842 cents 3: 7 271.88632 cents 3: 4 424.19894 cents 4: 2 311.74422 cents 4: 9 464.05684 cents 5: 8 503.91474 cents 5: 3 656.22736 cents 6: 3 543.77264 cents 6: 8 696.08526 cents 7: 9 735.94316 cents 7: 2 888.25578 cents 8: 4 775.80106 cents 8: 7 928.11368 cents 9: 10 967.97158 cents 9: 1 1120.28420 cents 10: 5 1007.82948 cents 10: 6 1160.14210 cents Highest number of different intervals for one interval class: 2 Average number of different intervals per interval class: 2.00000 = 2
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 7 8 9 10 11 0.0 : 39.9 232.0 271.9 464.1 503.9 696.1 735.9 928.1 968.0 1160.1 1200.0 39.9 : 192.2 232.0 424.2 464.1 656.2 696.1 888.3 928.1 1120.3 1160.1 1200.0 232.0 : 39.9 232.0 271.9 464.1 503.9 696.1 735.9 928.1 968.0 1007.8 1200.0 271.9 : 192.2 232.0 424.2 464.1 656.2 696.1 888.3 928.1 968.0 1160.1 1200.0 464.1 : 39.9 232.0 271.9 464.1 503.9 696.1 735.9 775.8 968.0 1007.8 1200.0 503.9 : 192.2 232.0 424.2 464.1 656.2 696.1 735.9 928.1 968.0 1160.1 1200.0 696.1 : 39.9 232.0 271.9 464.1 503.9 543.8 735.9 775.8 968.0 1007.8 1200.0 735.9 : 192.2 232.0 424.2 464.1 503.9 696.1 735.9 928.1 968.0 1160.1 1200.0 928.1 : 39.9 232.0 271.9 311.7 503.9 543.8 735.9 775.8 968.0 1007.8 1200.0 968.0 : 192.2 232.0 271.9 464.1 503.9 696.1 735.9 928.1 968.0 1160.1 1200.0 1160.1: 39.9 79.7 271.9 311.7 503.9 543.8 735.9 775.8 968.0 1007.8 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 39.8579 .. 192.1705 cents 152.31261 cents 39.85790 cents 2: 79.7158 .. 232.0284 cents 152.31261 cents -112.45471 cents 3: 271.8863 .. 424.1989 cents 152.31261 cents 39.85790 cents 4: 311.7442 .. 464.0568 cents 152.31261 cents -112.45471 cents 5: 503.9147 .. 656.2274 cents 152.31261 cents 39.85790 cents 6: 543.7726 .. 696.0853 cents 152.31261 cents -112.45471 cents 7: 735.9432 .. 888.2558 cents 152.31261 cents 39.85790 cents 8: 775.8011 .. 928.1137 cents 152.31261 cents -112.45471 cents 9: 967.9716 .. 1120.2842 cents 152.31261 cents 39.85790 cents 10: 1007.8295 .. 1160.1421 cents 152.31261 cents -112.45471 cents
SHOW DATA
Number of notes : 11 -- Interval properties -- Smallest interval : 39.85790 cents, class 1 Average step (divided formal octave): 109.0909 cents Largest one step interval : 192.17052 cents Average / Smallest step : 2.736996 Largest / Average step : 1.761563 Largest / Smallest step : 4.821391 Median interval of one step : 39.85790 cents, amount: 6 Most common interval of one step : 39.85790 cents, amount: 6 Least squares average step : 110.59597 cents, oct.: 1216.55572 cents Scale is not proper Scale has Myhill's property chromas: 152.31261 cents and 112.45471 cents, ratio: 1.354435 generators: 2 of 232.02842 cents and 9 of 967.97158 cents ET pair of linear temperament : 26&31 Scale is distributional even Scale is a mode of a 843-tone equal temperament with octave 1200.000 cents degrees: 28 163 191 326 354 489 517 652 680 815 843 generators: 163 and 680 Number of contiguous 1-step segments: 0 Step pattern alph. order: ABABABABABA Step pattern size order : SLSLSLSLSLS Scale is a Constant Structure, by a margin of 39.85790 cents Scale diversity : 1.162568 Lumma stability : 0.199290 Lumma impropriety factor : 0.468561 Rothenberg efficiency : 0.727273 redundancy: 0.272727 Efficiency x scale size : 8.000000 Number of different interval sizes : 20 = 2.00000 / class Number of one step interval sizes : 2 Highest interval variety : 2 Mean interval variety : 2.00000 = 2 Median interval variety : 2 Lowest interval variety : 2 Smallest interval difference : 39.85790 cents Most common intervals : 232.02842 cents & inv., amount: 10 Scale is a chain of 5 triads 0.0 232.028 464.057 cents Most common triad is 0.0 232.028 967.972 cents, amount: 9 Number of recognisable fifths : 8, average 696.0853 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: 0 2 0 2 0 2 0 2 0 2 1 N T3 SD: 56.6313 c. M: 95.2443 c. 12: 0 2 1 2 0 2 0 2 1 2 0 N I SD: 29.2702 c. M: 39.8579 c. 14: 0 3 0 2 1 2 1 2 0 3 0 N I SD: 26.2974 c. M: 39.8579 c. 18: 1 2 1 3 1 2 1 3 1 2 1 N I SD: 21.9257 c. M: 32.0284 c. 21: 1 3 1 3 1 3 1 3 1 3 1 N M DE I SD: 10.9320 c. M: 17.2850 c. Gorgo-11 26: 1 4 1 4 1 4 1 4 1 4 1 N M DE I SD: 3.9819 c. M: 6.2959 c. 31: 1 5 1 5 1 5 1 5 1 5 1 N M DE I SD: 0.7262 c. M: 1.1482 c. 88: 3 14 3 14 3 14 3 14 3 14 3 N M DE I SD: 0.6648 c. M: 1.0512 c. 119: 4 19 4 19 4 19 4 19 4 19 4 N M DE I SD: 0.3025 c. M: 0.4782 c. 150: 5 24 5 24 5 24 5 24 5 24 5 N M DE I SD: 0.0899 c. M: 0.1421 c. 181: 6 29 6 29 6 29 6 29 6 29 6 N M DE I SD: 0.0499 c. M: 0.0789 c. 331: 11 53 11 53 11 53 11 53 11 53 11 N M DE I SD: 0.0134 c. M: 0.0213 c. 512: 17 82 17 82 17 82 17 82 17 82 17 N M DE I SD: 0.0090 c. M: 0.0142 c. 843: 28 135 28 135 28 135 28 135 28 135 28 N M DE I SD: 0.0002 c. M:-0.0003 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: 2.9349 cents 3 x x x x 4 x x 5 x x 6 S SD: 14.7156 cents 4 x x x 5 x 6 x x 7 x 8 S SD: 19.4923 cents 5 x x 6 x 7 x 8 x 9 x 10 S SD: 25.7672 cents 6 x x 7 x 8:9 x 10:11 x 12 S SD: 15.4858 cents 7 x 8 x 9 x 10:11:12 x x 14 S SD: 15.9945 cents 8 x 9 x 10:11:12 x x 14 x 16 S SD: 15.9137 cents 9 x 10:11 x 12:13:14:15:16 x 18 S SD: 15.4523 cents 10 x 11:12:13 x 15 x 17 x x 20 SD: 13.5685 cents 11 x x 13:14:15:16:17:19 x x 22 SD: 11.4690 cents 12 x x 14 x 16:18 x x 21:23:24 SD: 5.8660 cents 13:14:15 x 17 x 19:20:22:23:25:26 SD: 11.7442 cents 14:15:16 x 18:19:21 x 24 x 27:28 SD: 11.4434 cents 15:16:17:18 x 20:22:23 x 26:29:30 SD: 10.5758 cents 16:17:18:19:21 x 24 x 27:28:31:32 SD: 8.9503 cents 17:18:19:20:22:23:25:26:29:30:33:34 SD: 7.6193 cents 18:19 x 21 x 24:27:28:31 x 35:36 SD: 7.9753 cents 19:20 x 22:25 x 28:29:32:33:37:38 SD: 7.3021 cents 20:21:23 x 26:27:30:31:34:35:39:40 SD: 5.5584 cents 22:23:25:26:29 x 33:34:38 x 43:44 SD: 5.7386 cents 23:24:26:27:30:31:34:35:39:40:45:46 SD: 4.5485 cents 24:25:27:28:31:32:36:37:41:42:47:48 SD: 4.5166 cents 25:26 x 29:33 x 37:38:43:44:49:50 SD: 4.9234 cents 26:27:30 x 34:35:39:40:44:45:51:52 SD: 4.2603 cents 27:28:31:32:35:36:40:41:46:47:53:54 SD: 3.9604 cents 28:29:32:33:37 x 42:43:48:49:55:56 SD: 3.3418 cents 29:30:33:34:38:39:43:44:50:51:57:58 SD: 3.3275 cents 30:31:34:35:39:40:45:46:51:52:59:60 SD: 3.1243 cents 31:32:35:36 x 41:46:47:53:54:61:62 SD: 4.3201 cents 32:33:37 x 42:43:48:49:55:56:63:64 SD: 3.0714 cents 35:36:40:41:46:47:52:54:60:61:68:70 SD: 2.4255 cents 36:37:41:42:47:48:54:55:62:63:70:72 SD: 1.9481 cents 41:42:47:48:54:55:61:63:70:72:80:82 SD: 1.8089 cents 42:43:48:49:55:56:63:64:72:73:82:84 SD: 1.5677 cents 48:49:55:56:63:64:72:73:82:84:94:96 SD: 1.5359 cents 68:70:78:80:89:91:102:104:116:119:133:136 SD: 1.5195 cents 69:71:79:81:90:92:103:106:118:121:135:138 SD: 1.4791 cents 71:73:81:83:93:95:106:109:121:124:139:142 SD: 1.2244 cents 75:77:86:88:98:100:112:115:128:131:147:150 SD: 1.1941 cents 77:79:88:90:101:103:115:118:132:135:150:154 SD: 1.0871 cents 83:85:95:97:109:111:124:127:142:145:162:166 SD: 0.8280 cents 89:91:102:104:116:119:133:136:152:156:174:178 SD: 0.7725 cents 117:120:134:137:153:157:175:179:200:205:229:234 SD: 0.7523 cents 123:126:141:144:161:165:184:188:210:215:240:246 SD: 0.7445 cents 124:127:142:145:162:166:185:190:212:217:242:248 SD: 0.5791 cents 159:163:182:186:208:213:238:243:272:278:311:318 SD: 0.5109 cents 166:170:190:194:217:222:248:254:284:290:324:332 SD: 0.4404 cents 172:176:197:201:225:230:257:263:294:301:336:344 SD: 0.3807 cents 216:221:247:253:282:289:323:330:369:378:422:432 SD: 0.3744 cents 224:229:256:262:293:300:335:343:383:392:438:448 SD: 0.3260 cents 251:257:287:294:328:336:375:384:429:439:491:502 SD: 0.2835 cents 258:264:295:302:337:345:386:395:441:451:504:516 SD: 0.2833 cents 264:270:302:309:345:353:395:404:451:462:516:528 SD: 0.2538 cents 293:300:335:343:383:392:438:448:501:512:573:586 SD: 0.2373 cents 299:306:342:350:391:400:447:457:511:523:584:598 SD: 0.1983 cents 423:433:484:495:553:566:632:647:723:740:827:846 SD: 0.1639 cents 459:470:525:537:600:614:686:702:785:803:897:918 SD: 0.1601 cents 465:476:532:544:608:622:695:711:795:813:909:930 SD: 0.1600 cents 482:493:551:564:630:645:721:737:824:843:942:964 SD: 0.1588 cents 517:529:591:605:676:692:773:791:884:904:1010:1034 SD: 0.1404 cents 523:535:598:612:684:700:782:800:894:915:1022:1046 SD: 0.1159 cents 598:612:684:700:782:800:894:915:1022:1046:1169:1196 SD: 0.1111 cents