Scala analysis: myna15br25
Myna[15] with a brat of 5/2
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 39.873 cents 39.873440 2: 79.747 cents 79.746879 3: 119.620 cents 119.620319 4: 309.968 cents 309.968360 5: 349.842 cents 349.841799 6: 389.715 cents 389.715239 7: 580.063 cents 580.063280 8: 619.937 cents 619.936720 9: 659.810 cents 659.810159 10: 699.684 cents 699.683599 11: 890.032 cents 890.031640 12: 929.905 cents 929.905080 13: 969.779 cents 969.778519 14: 1009.652 cents 1009.651959 15: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 190.3480 cents 190.3480 1: 39.8734 cents 39.8734 2: 39.8734 cents 39.8734 3: 39.8734 cents 39.8734 4: 190.3480 cents 190.3480 5: 39.8734 cents 39.8734 6: 39.8734 cents 39.8734 7: 190.3480 cents 190.3480 8: 39.8734 cents 39.8734 9: 39.8734 cents 39.8734 10: 39.8734 cents 39.8734 11: 190.3480 cents 190.3480 12: 39.8734 cents 39.8734 13: 39.8734 cents 39.8734 14: 39.8734 cents 39.8734 15: 190.3480 cents 190.3480
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 11 39.87344 cents 1: 4 190.34804 cents 2: 7 79.74688 cents 2: 8 230.22148 cents 3: 3 119.62032 cents 3: 12 270.09492 cents 4: 14 309.96836 cents 4: 1 460.44296 cents 5: 10 349.84180 cents 5: 5 500.31640 cents 6: 6 389.71524 cents 6: 9 540.18984 cents 7: 2 429.58868 cents 7: 13 580.06328 cents 8: 13 619.93672 cents 8: 2 770.41132 cents 9: 9 659.81016 cents 9: 6 810.28476 cents 10: 5 699.68360 cents 10: 10 850.15820 cents 11: 1 739.55704 cents 11: 14 890.03164 cents 12: 12 929.90508 cents 12: 3 1080.37968 cents 13: 8 969.77852 cents 13: 7 1120.25312 cents 14: 4 1009.65196 cents 14: 11 1160.12656 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 12 13 14 15 0.0 : 39.9 79.7 119.6 310.0 349.8 389.7 580.1 619.9 659.8 699.7 890.0 929.9 969.8 1009.7 1200.0 39.9 : 39.9 79.7 270.1 310.0 349.8 540.2 580.1 619.9 659.8 850.2 890.0 929.9 969.8 1160.1 1200.0 79.7 : 39.9 230.2 270.1 310.0 500.3 540.2 580.1 619.9 810.3 850.2 890.0 929.9 1120.3 1160.1 1200.0 119.6 : 190.3 230.2 270.1 460.4 500.3 540.2 580.1 770.4 810.3 850.2 890.0 1080.4 1120.3 1160.1 1200.0 310.0 : 39.9 79.7 270.1 310.0 349.8 389.7 580.1 619.9 659.8 699.7 890.0 929.9 969.8 1009.7 1200.0 349.8 : 39.9 230.2 270.1 310.0 349.8 540.2 580.1 619.9 659.8 850.2 890.0 929.9 969.8 1160.1 1200.0 389.7 : 190.3 230.2 270.1 310.0 500.3 540.2 580.1 619.9 810.3 850.2 890.0 929.9 1120.3 1160.1 1200.0 580.1 : 39.9 79.7 119.6 310.0 349.8 389.7 429.6 619.9 659.8 699.7 739.6 929.9 969.8 1009.7 1200.0 619.9 : 39.9 79.7 270.1 310.0 349.8 389.7 580.1 619.9 659.8 699.7 890.0 929.9 969.8 1160.1 1200.0 659.8 : 39.9 230.2 270.1 310.0 349.8 540.2 580.1 619.9 659.8 850.2 890.0 929.9 1120.3 1160.1 1200.0 699.7 : 190.3 230.2 270.1 310.0 500.3 540.2 580.1 619.9 810.3 850.2 890.0 1080.4 1120.3 1160.1 1200.0 890.0 : 39.9 79.7 119.6 310.0 349.8 389.7 429.6 619.9 659.8 699.7 890.0 929.9 969.8 1009.7 1200.0 929.9 : 39.9 79.7 270.1 310.0 349.8 389.7 580.1 619.9 659.8 850.2 890.0 929.9 969.8 1160.1 1200.0 969.8 : 39.9 230.2 270.1 310.0 349.8 540.2 580.1 619.9 810.3 850.2 890.0 929.9 1120.3 1160.1 1200.0 1009.7: 190.3 230.2 270.1 310.0 500.3 540.2 580.1 770.4 810.3 850.2 890.0 1080.4 1120.3 1160.1 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 39.8734 .. 190.3480 cents 150.47460 cents 39.87344 cents 2: 79.7469 .. 230.2215 cents 150.47460 cents -110.60116 cents 3: 119.6203 .. 270.0949 cents 150.47460 cents -110.60116 cents 4: 309.9684 .. 460.4430 cents 150.47460 cents 39.87344 cents 5: 349.8418 .. 500.3164 cents 150.47460 cents -110.60116 cents 6: 389.7152 .. 540.1898 cents 150.47460 cents -110.60116 cents 7: 429.5887 .. 580.0633 cents 150.47460 cents -110.60116 cents 8: 619.9367 .. 770.4113 cents 150.47460 cents 39.87344 cents 9: 659.8102 .. 810.2848 cents 150.47460 cents -110.60116 cents 10: 699.6836 .. 850.1582 cents 150.47460 cents -110.60116 cents 11: 739.5570 .. 890.0316 cents 150.47460 cents -110.60116 cents 12: 929.9051 .. 1080.3797 cents 150.47460 cents 39.87344 cents 13: 969.7785 .. 1120.2531 cents 150.47460 cents -110.60116 cents 14: 1009.6520 .. 1160.1266 cents 150.47460 cents -110.60116 cents
SHOW DATA
Number of notes : 15 -- Interval properties -- Smallest interval : 39.87344 cents, class 1 Average step (divided formal octave): 80.0000 cents Largest one step interval : 190.34804 cents Average / Smallest step : 2.006348 Largest / Average step : 2.379351 Largest / Smallest step : 4.773805 Median interval of one step : 39.87344 cents, amount: 11 Most common interval of one step : 39.87344 cents, amount: 11 Least squares average step : 75.42913 cents, oct.: 1131.43698 cents Scale is not proper Scale has Myhill's property chromas: 150.47460 cents and 110.60116 cents, ratio: 1.360516 generators: 4 of 309.96836 cents and 11 of 890.03164 cents ET pair of linear temperament : 27&31 Scale is distributional even Scale is a mode of a 1595-tone equal temperament with octave 1200.000 cents degrees: 53 106 159 412 465 518 771 824 877 930 1183 1236 1289 1342 1595 generators: 412 and 1183 Number of contiguous 1-step segments: 0 Step pattern alph. order: AAABAABAAABAAAB Step pattern size order : SSSLSSLSSSLSSSL Scale is a Constant Structure, by a margin of 30.85428 cents Scale diversity : 1.228851 Lumma stability : 0.166139 Lumma impropriety factor : 0.568038 Rothenberg efficiency : 0.711111 redundancy: 0.288889 Efficiency x scale size : 10.666667 Number of different interval sizes : 28 = 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 : 30.85428 cents Most common intervals : 309.96836 cents & inv., amount: 14 Scale is a chain of 7 triads 0.0 309.968 619.937 cents Most common triad is 0.0 309.968 890.032 cents, amount: 13 Number of recognisable fifths : 5, average 699.6836 cents Formal octave complements present : 5 = 33.3333% Limited inverse transpositions : 10 Inversional symmetry on degrees : 5 Inversional symmetry on intervals : 12-13 -- Rational properties --
FIT/MODE
15: 0 1 0 3 0 1 2 1 0 1 2 1 0 1 2 N SD: 22.9345 c. M: 39.8734 c. 16: 1 0 1 2 1 0 3 0 1 0 3 0 1 0 3 N SD: 21.5791 c. M:-35.1266 c. 18: 1 0 1 3 0 1 3 0 1 1 2 1 1 0 3 N SD: 19.2175 c. M:-33.6497 c. 19: 1 0 1 3 1 0 3 1 0 1 3 1 0 1 3 N T3 SD: 15.9029 c. M:-29.1056 c. 21: 1 0 1 3 1 1 3 1 1 0 4 0 1 1 3 N SD: 15.8926 c. M:-25.9041 c. 22: 1 0 1 4 0 1 4 0 1 1 3 1 1 0 4 N SD: 16.2678 c. M: 27.8338 c. 24: 1 1 0 4 1 1 4 0 1 1 4 1 0 1 4 N S SD: 14.0989 c. M:-20.2531 c. 27: 1 1 1 4 1 1 4 1 1 1 4 1 1 1 4 N M DE S SD: 7.5514 c. M:-13.7130 c. 31: 1 1 1 5 1 1 5 1 1 1 5 1 1 1 5 N M DE S SD: 1.9226 c. M: 3.4913 c. 89: 3 3 3 14 3 3 14 3 3 3 14 3 3 3 14 N M DE S SD: 0.9516 c. M:-1.7280 c. 120: 4 4 4 19 4 4 19 4 4 4 19 4 4 4 19 N M DE S SD: 0.2091 c. M:-0.3797 c. 271: 9 9 9 43 9 9 43 9 9 9 43 9 9 9 43 N M DE S SD: 0.0348 c. M: 0.0631 c. 662: 22 22 22 105 22 22 105 22 22 22 105 22 22 22 105 N M DE S SD: 0.0094 c. M:-0.0171 c. 933: 31 31 31 148 31 31 148 31 31 31 148 31 31 31 148 N M DE S SD: 0.0034 c. M: 0.0062 c. 1595: 53 53 53 253 53 53 253 53 53 53 253 53 53 53 253 N M DE S SD: 0.0019 c. M:-0.0035 c.
FIT/HARMONIC
1 x x x x x x x x x x x x x x 2 S SD: 0.0000 cents 2 x x x x x x x x x 3 x x x x 4 S SD: 1.1357 cents 3 x x x x x x 4 x x x 5 x x x 6 S SD: 27.4047 cents 4 x x x x x 5 x x x 6 x x 7 x 8 S SD: 1.0499 cents 5 x x x 6 x x 7 x x x 8 x x 9:10 S SD: 15.4012 cents 6 x x x 7 x x 8 x x 9:10 x x 11:12 S SD: 16.8314 cents 7 x x x 8 x 9 x 10 x x x 12 x 13:14 S SD: 18.3586 cents 8 x x 9 x x 10:11 x x 12:13 x 14 x 16 S SD: 14.5682 cents 9 x x 10 x 11 x x 13 x x 15 x x 16:18 SD: 11.1081 cents 10 x x 11:12 x 13:14 x x 15 x 17 x 18:20 SD: 10.0414 cents 11 x x 12:13 x 14:15 x 16 x 18:19 x 20:22 S SD: 8.9286 cents 12 x x 13:14 x 15 x 17 x 18:20 x 21:22:24 SD: 7.1407 cents 13 x x 14 x 16 x 18 x 19 x x 22:23 x 26 SD: 4.8287 cents 14 x x 15 x 17:18 x 20 x 21:23:24 x 25:28 SD: 6.3221 cents 15 x x 16:18 x 19:21 x 22 x 25 x 26:27:30 SD: 3.3232 cents 16 x x 17:19 x 20:22:23 x 24:27 x 28:29:32 SD: 4.3947 cents 17 x 18 x 20:21 x 24 x 25 x 28:29:30 x 34 SD: 5.7597 cents 18 x 19 x x 22:23:25:26 x 27:30:31 x 32:36 SD: 4.6396 cents 19 x 20 x x 23:24 x 27:28 x 32 x 33:34:38 SD: 3.9845 cents 20 x 21 x 24 x 25:28 x 29:30:33:34:35:36:40 SD: 2.9795 cents 21 x 22:23:25:26 x 29:30:31 x 35:36:37:38:42 SD: 4.5755 cents 22 x 23:24:26:27:28:31 x 32:33:37:38 x 39:44 SD: 4.7271 cents 23 x 24:25 x 28:29:32:33:34 x 38:39:40:41:46 SD: 3.8586 cents 24 x 25:26:29 x 30 x 34:35:36:40:41:42:43:48 SD: 2.8156 cents 25 x 26:27:30 x 31:35:36:37 x 42:43:44:45:50 SD: 3.1611 cents 26 x 27:28:31:32:33:36:37:38:39:43:44:46:47:52 SD: 3.6395 cents 27 x 28:29:32:33:34:38:39 x 40:45:46:47:48:54 SD: 3.2640 cents 28 x 29:30:33:34:35:39:40:41:42:47:48:49:50:56 SD: 2.6283 cents 29:30 x 31:35 x 36:41 x 42:43:48:50:51:52:58 SD: 4.1102 cents 30:31 x 32:36:37:38:42:43:44:45:50:51:53:54:60 SD: 2.7011 cents 31:32 x 33:37:38:39:43:44:45:46:52:53:54:56:62 SD: 2.8611 cents 32:33 x 34:38:39:40:45:46:47:48:54:55:56:57:64 SD: 2.5161 cents 33:34 x 35:39:40:41:46:47:48:49:55:56:58:59:66 SD: 3.2730 cents 34:35:36 x 41:42:43:48:49:50:51:57:58:60:61:68 SD: 3.1683 cents 35:36:37:38:42:43:44:49:50:51:52:59:60:61:63:70 SD: 2.6662 cents 36:37:38:39:43:44:45:50:52:53:54:60:62:63:65:72 SD: 2.5601 cents 37:38:39:40:44:45:46:52:53:54:55:62:63:65:66:74 SD: 2.3686 cents 39:40:41:42:47:48:49:55:56:57:58:65:67:68:70:78 SD: 2.1168 cents 40:41:42:43:48:49:50:56:57:59:60:67:68:70:72:80 SD: 1.5417 cents 56:57:59:60:67:69:70:78:80:82:84:94:96:98:100:112 SD: 1.4685 cents 58:59:61:62:69:71:73:81:83:85:87:97:99:102:104:116 SD: 1.3799 cents 67:69:70:72:80:82:84:94:96:98:100:112:115:117:120:134 SD: 1.1794 cents 72:74:75:77:86:88:90:101:103:105:108:120:123:126:129:144 SD: 1.1520 cents 76:78:80:81:91:93:95:106:109:111:114:127:130:133:136:152 SD: 1.1042 cents 80:82:84:86:96:98:100:112:114:117:120:134:137:140:143:160 SD: 0.9343 cents 82:84:86:88:98:100:103:115:117:120:123:137:140:144:147:164 SD: 0.9034 cents 86:88:90:92:103:105:108:120:123:126:129:144:147:151:154:172 SD: 0.6846 cents 123:126:129:132:147:151:154:172:176:180:184:206:210:215:220:246 SD: 0.6466 cents 125:128:131:134:150:153:157:175:179:183:187:209:214:219:224:250 SD: 0.5829 cents 128:131:134:137:153:157:160:179:183:187:192:214:219:224:229:256 SD: 0.5060 cents 153:157:160:164:183:187:192:214:219:224:229:256:262:268:274:306 SD: 0.4904 cents 168:172:176:180:201:206:210:235:240:246:252:281:287:294:301:336 SD: 0.4453 cents 169:173:177:181:202:207:212:236:242:247:253:283:289:296:303:338 SD: 0.4020 cents 183:187:192:196:219:224:229:256:262:268:274:306:313:320:328:366 SD: 0.3740 cents 209:214:219:224:250:256:262:292:299:306:313:349:358:366:374:418 SD: 0.3146 cents 211:216:221:226:252:258:264:295:302:309:316:353:361:369:378:422 SD: 0.3006 cents 249:255:261:267:298:305:312:348:356:365:373:416:426:436:446:498 SD: 0.2915 cents 253:259:265:271:303:310:317:354:362:370:379:423:433:443:453:506 SD: 0.2769 cents 269:275:282:288:322:329:337:376:385:394:403:450:460:471:482:538 SD: 0.2645 cents 293:300:307:314:350:359:367:410:419:429:439:490:501:513:525:586 SD: 0.2610 cents 297:304:311:318:355:364:372:415:425:435:445:497:508:520:532:594 SD: 0.2403 cents 321:328:336:344:384:393:402:449:459:470:481:537:549:562:575:642 SD: 0.2172 cents 336:344:352:360:402:411:421:470:481:492:503:562:575:588:602:672 SD: 0.1918 cents 381:390:399:408:456:466:477:533:545:558:571:637:652:667:683:762 SD: 0.1895 cents 388:397:406:416:464:475:486:542:555:568:581:649:664:679:695:776 SD: 0.1745 cents 423:433:443:453:506:518:530:591:605:619:634:707:724:741:758:846 SD: 0.1739 cents 429:439:449:460:513:525:537:600:614:628:643:717:734:751:769:858 SD: 0.1724 cents 460:471:482:493:550:563:576:643:658:673:689:769:787:805:824:920 SD: 0.1572 cents 464:475:486:497:555:568:581:649:664:679:695:776:794:812:831:928 SD: 0.1415 cents 515:527:539:552:616:630:645:720:737:754:771:861:881:902:923:1030 SD: 0.1357 cents 530:542:555:568:634:649:664:741:758:776:794:886:907:928:950:1060 SD: 0.1220 cents 550:563:576:589:658:673:689:769:787:805:824:920:941:963:985:1100 SD: 0.1216 cents 558:571:584:598:667:683:699:780:798:817:836:933:955:977:1000:1116 SD: 0.1134 cents 571:584:598:612:683:699:715:798:817:836:855:955:977:1000:1023:1142 SD: 0.1084 cents