Scala analysis: mir12
Mir12
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 83.872 cents 83.871500 2: 200.587 cents 200.587100 3: 317.303 cents 317.302700 4: 350.147 cents 350.146800 5: 466.862 cents 466.862400 6: 583.578 cents 583.578000 7: 700.294 cents 700.293600 8: 817.009 cents 817.009200 9: 849.853 cents 849.853200 10: 966.569 cents 966.568800 11: 1083.284 cents 1083.284400 12: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 116.7156 cents 116.7156 1: 83.8715 cents 83.8715 2: 116.7156 cents 116.7156 3: 116.7156 cents 116.7156 4: 32.8441 cents 32.8441 5: 116.7156 cents 116.7156 6: 116.7156 cents 116.7156 7: 116.7156 cents 116.7156 8: 116.7156 cents 116.7156 9: 32.8440 cents 32.8440 10: 116.7156 cents 116.7156 11: 116.7156 cents 116.7156 12: 116.7156 cents 116.7156
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 2 32.84410 cents 1: 1 83.87150 cents 1: 9 116.71560 cents 2: 4 149.55970 cents 2: 2 200.58710 cents 2: 6 233.43120 cents 3: 6 266.27530 cents 3: 3 317.30270 cents 3: 3 350.14680 cents 4: 1 350.14680 cents 4: 7 382.99090 cents 4: 3 434.01830 cents 4: 1 466.86240 cents 5: 3 466.86240 cents 5: 7 499.70650 cents 5: 2 550.73390 cents 6: 1 532.55050 cents 6: 5 583.57800 cents 6: 5 616.42210 cents 6: 1 667.44950 cents 7: 2 649.26610 cents 7: 7 700.29360 cents 7: 3 733.13770 cents 8: 1 733.13760 cents 8: 3 765.98170 cents 8: 7 817.00920 cents 8: 1 849.85320 cents 9: 3 849.85320 cents 9: 3 882.69730 cents 9: 6 933.72470 cents 10: 6 966.56880 cents 10: 2 999.41290 cents 10: 4 1050.44030 cents 11: 9 1083.28440 cents 11: 1 1116.12850 cents 11: 2 1167.15590 cents Highest number of different intervals for one interval class: 4 Average number of different intervals per interval class: 3.27273 = 36/11
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 7 8 9 10 11 12 0.0 : 83.9 200.6 317.3 350.1 466.9 583.6 700.3 817.0 849.9 966.6 1083.3 1200.0 83.9 : 116.7 233.4 266.3 383.0 499.7 616.4 733.1 766.0 882.7 999.4 1116.1 1200.0 200.6 : 116.7 149.6 266.3 383.0 499.7 616.4 649.3 766.0 882.7 999.4 1083.3 1200.0 317.3 : 32.8 149.6 266.3 383.0 499.7 532.6 649.3 766.0 882.7 966.6 1083.3 1200.0 350.1 : 116.7 233.4 350.1 466.9 499.7 616.4 733.1 849.9 933.7 1050.4 1167.2 1200.0 466.9 : 116.7 233.4 350.1 383.0 499.7 616.4 733.1 817.0 933.7 1050.4 1083.3 1200.0 583.6 : 116.7 233.4 266.3 383.0 499.7 616.4 700.3 817.0 933.7 966.6 1083.3 1200.0 700.3 : 116.7 149.6 266.3 383.0 499.7 583.6 700.3 817.0 849.9 966.6 1083.3 1200.0 817.0 : 32.8 149.6 266.3 383.0 466.9 583.6 700.3 733.1 849.9 966.6 1083.3 1200.0 849.9 : 116.7 233.4 350.1 434.0 550.7 667.4 700.3 817.0 933.7 1050.4 1167.2 1200.0 966.6 : 116.7 233.4 317.3 434.0 550.7 583.6 700.3 817.0 933.7 1050.4 1083.3 1200.0 1083.3: 116.7 200.6 317.3 434.0 466.9 583.6 700.3 817.0 933.7 966.6 1083.3 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 32.8441 .. 116.7156 cents 83.87150 cents 32.84410 cents 2: 149.5597 .. 233.4312 cents 83.87150 cents 32.84410 cents 3: 266.2753 .. 350.1468 cents 83.87150 cents 32.84410 cents 4: 350.1468 .. 466.8624 cents 116.71560 cents 1/1, 0.0000 cents 5: 466.8624 .. 550.7339 cents 83.87150 cents 1/1, 0.0000 cents 6: 532.5505 .. 667.4495 cents 134.89900 cents -18.18340 cents 7: 649.2661 .. 733.1377 cents 83.87160 cents -18.18340 cents 8: 733.1376 .. 849.8532 cents 116.71560 cents -0.00010 cents 9: 849.8532 .. 933.7247 cents 83.87150 cents 1/1, 0.0000 cents 10: 966.5688 .. 1050.4403 cents 83.87150 cents 32.84410 cents 11: 1083.2844 .. 1167.1559 cents 83.87150 cents 32.84410 cents
SHOW DATA
Number of notes : 12 -- Interval properties -- Smallest interval : 32.84400 cents, class 1 Average step (divided formal octave): 100.0000 cents Largest one step interval : 116.71560 cents Average / Smallest step : 3.044696 Largest / Average step : 1.167156 Largest / Smallest step : 3.553635 Median interval of one step : 116.71560 cents, amount: 9 Most common interval of one step : 116.71560 cents, amount: 9 Least squares average step : 98.06453 cents, oct.: 1176.77437 cents Scale is not proper Scale is a mode of a 1717-tone equal temperament with octave 1200.000 cents degrees: 120 287 454 501 668 835 1002 1169 1216 1383 1550 1717 Least number of segments generator : 859 of 600.349 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 1550 of 1083.285 cents and inv. generated superset size: 17 = 5 more = 141.667% Number of contiguous 1-step segments: 0 Step pattern alph. order: ABBCBBBBCBBB Step pattern size order : MLLSLLLLSLLL Scale is not a Constant Structure Scale diversity : 1.383232 Lumma stability : 0.164220 Lumma impropriety factor : 0.030306 Rothenberg efficiency : 0.423605 redundancy: 0.576395 Efficiency x scale size : 5.083261 Number of different interval sizes : 32 = 2.90909 / class Number of one step interval sizes : 3 Highest interval variety : 4 Mean interval variety : 3.27273 = 36/11 Median interval variety : 3 Lowest interval variety : 3 Smallest interval difference : 18.18340 cents Most common intervals : 116.71560 cents & inv., amount: 9 Most common triad is 0.0 116.716 1083.284 cents, amount: 6 Number of recognisable fifths : 7, average 700.2936 cents Best fifths form a closed circle Formal octave complements present : 3 = 25.0000% -- Rational properties --
FIT/MODE
12: 1 1 1 1 1 1 1 1 1 1 1 1 SP B ME I SD: 26.7926 c. M:-50.1468 c. Twelve-tone Chromatic (1/11-comma) 14: 1 1 2 0 1 2 1 2 0 1 2 1 N T3 SD: 23.6210 c. M:-40.1337 c. 15: 1 2 1 0 2 1 2 1 1 1 2 1 N D3 SD: 22.7132 c. M:-39.4129 c. 16: 1 2 1 1 1 2 1 2 0 2 1 2 N D3 SD: 19.6766 c. M: 33.2844 c. 17: 1 2 2 0 2 1 2 2 0 2 1 2 N SD: 19.7655 c. M:-35.6385 c. 18: 1 2 2 0 2 2 1 2 1 1 2 2 N D3 SD: 18.6844 c. M: 33.6269 c. 19: 1 2 2 0 2 2 2 2 0 2 2 2 N SD: 18.0634 c. M: 34.3573 c. 20: 1 2 2 1 2 2 2 2 0 2 2 2 N T3 SD: 15.5466 c. M: 23.8715 c. 24: 2 2 2 1 2 3 2 2 1 2 3 2 P T3 SD: 12.7712 c. M: 17.3027 c. 27: 2 3 2 1 3 2 3 2 1 3 2 3 N SD: 12.6393 c. M:-22.0265 c. 28: 2 3 2 1 3 3 2 3 1 3 2 3 P SD: 11.5986 c. M:-19.1455 c. 29: 2 3 3 0 3 3 3 3 1 2 3 3 N SD: 11.2262 c. M:-19.1123 c. 30: 2 3 3 1 3 3 3 2 1 3 3 3 N SD: 10.7651 c. M:-19.7064 c. 31: 2 3 3 1 3 3 3 3 1 3 3 3 P SD: 4.0884 c. M: 7.6253 c. 41: 3 4 4 1 4 4 4 4 1 4 4 4 N SD: 2.4924 c. M:-4.6485 c. 72: 5 7 7 2 7 7 7 7 2 7 7 7 N SD: 0.3410 c. M: 0.6360 c. 185: 13 18 18 5 18 18 18 18 5 18 18 18 N SD: 0.2869 c. M:-0.5351 c. 257: 18 25 25 7 25 25 25 25 7 25 25 25 N SD: 0.1110 c. M:-0.2070 c. 329: 23 32 32 9 32 32 32 32 9 32 32 32 N SD: 0.0121 c. M:-0.0225 c. 1059: 74 103 103 29 103 103 103 103 29 103 103 103 N SD: 0.0119 c. M: 0.0222 c. 1388: 97 135 135 38 135 135 135 135 38 135 135 135 N SD: 0.0062 c. M: 0.0116 c. 1717: 120 167 167 47 167 167 167 167 47 167 167 167 N SD: 0.0027 c. M: 0.0051 c. 2046: 143 199 199 56 199 199 199 199 56 199 199 199 N SD: 0.0004 c. M: 0.0006 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: 0.8307 cents 3 x x x x 4 x x x 5 x x 6 S SD: 15.5026 cents 4 x x x 5 x x 6 x x 7 x 8 S SD: 9.0688 cents 5 x x 6 x x 7 x 8 x 9 x 10 S SD: 10.2347 cents 6 x x 7 x 8 x 9 x 10 x 11:12 S SD: 12.7582 cents 7 x 8 x x 9:10 x 11 x 12:13:14 S SD: 10.6322 cents 8 x 9 x 10 x 11:12 x 13:14:15:16 S SD: 6.2243 cents 9 x 10 x 11:12:13 x 14:15:16:17:18 S SD: 10.6661 cents 10 x 11:12 x 13:14:15:16 x 17:19:20 SD: 7.4702 cents 11 x 12:13 x 14:15:16 x 18:19:21:22 SD: 12.3175 cents 12:13 x 14:15:16:17:18:19:20:21:22:24 S SD: 9.5357 cents 13:14:15 x 16:17:18:19:21 x 23:24:26 SD: 8.7608 cents 14:15:16 x 17:18:20:21:22:23:24:26:28 S SD: 7.6578 cents 15:16:17:18 x 20:21:22:24:25:26:28:30 S SD: 6.3067 cents 16:17:18:19:20:21:22:24 x 26:28:30:32 S SD: 5.2468 cents 18:19:20 x 22:24:25:27:29 x 31:34:36 SD: 5.1639 cents 19:20:21:23 x 25:27:28:30:31:33:36:38 SD: 5.6182 cents 20:21:22:24 x 26:28:30:32:33:35:37:40 SD: 4.1412 cents 21:22:24:25:26:28:29:31 x 34:37:39:42 SD: 6.0371 cents 22:23:25:26:27:29:31:33:35:36:38:41:44 SD: 3.8626 cents 23:24:26 x 28:30:32:34:37:38:40:43:46 SD: 3.5935 cents 24:25:27:29 x 31:34:36:38:39:42:45:48 SD: 3.8723 cents 25:26:28:30:31:33:35:37:40:41:44:47:50 SD: 3.4588 cents 26:27:29:31:32:34:36:39:42 x 45:49:52 SD: 3.8521 cents 28:29:31 x 34:37:39:42:45:46:49:52:56 SD: 3.9857 cents 30:31:34:36:37:39:42:45:48:49:52:56:60 SD: 3.2820 cents 32:34:36:38:39:42:45:48:51:52:56:60:64 S SD: 2.8712 cents 33:35:37:40 x 43:46:49:53:54:58:62:66 SD: 3.1009 cents 35:37:39:42:43:46:49:52:56:57:61:65:70 SD: 2.4019 cents 39:41:44:47:48:51:55:58:63:64:68:73:78 SD: 2.3035 cents 40:42:45:48:49:52:56:60:64:65:70:75:80 SD: 1.4611 cents 55:58:62:66:67:72:77:82:88:90:96:103:110 SD: 1.4388 cents 58:61:65:70:71:76:81:87:93:95:101:108:116 SD: 1.2679 cents 74:78:83:89:91:97:104:111:119:121:129:138:148 SD: 1.2660 cents 75:79:84:90:92:98:105:112:120:123:131:140:150 SD: 1.1384 cents 80:84:90:96:98:105:112:120:128:131:140:150:160 SD: 0.7964 cents 98:103:110:118:120:128:137:147:157:160:171:183:196 SD: 0.7192 cents 120:126:135:144:147:157:168:180:192:196:210:224:240 SD: 0.5639 cents 139:146:156:167:170:182:195:208:223:227:243:260:278 SD: 0.3780 cents 219:230:246:263:268:287:307:328:351:358:383:409:438 SD: 0.2861 cents 245:257:275:294:300:321:343:367:393:400:428:458:490 SD: 0.2659 cents 259:272:291:311:317:339:363:388:415:423:453:484:518 SD: 0.2298 cents 317:333:356:381:388:415:444:475:508:518:554:593:634 SD: 0.1854 cents 401:421:450:482:491:525:562:601:643:655:701:750:802 SD: 0.1780 cents 407:427:457:489:498:533:570:610:652:665:711:761:814 SD: 0.1647 cents 423:444:475:508:518:554:593:634:678:691:739:791:846 SD: 0.1419 cents 481:505:540:578:589:630:674:721:771:786:841:899:962 SD: 0.1336 cents 527:553:592:633:645:690:738:790:845:861:921:985:1054 SD: 0.1215 cents 562:590:631:675:688:736:787:842:901:918:982:1051:1124 SD: 0.0903 cents