Scala analysis: mir10
Mir10
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: 466.862 cents 466.862400 5: 583.578 cents 583.578000 6: 700.294 cents 700.293600 7: 817.009 cents 817.009200 8: 966.569 cents 966.568800 9: 1083.284 cents 1083.284400 10: 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: 149.5597 cents 149.5597 5: 116.7156 cents 116.7156 6: 116.7156 cents 116.7156 7: 116.7156 cents 116.7156 8: 149.5596 cents 149.5596 9: 116.7156 cents 116.7156 10: 116.7156 cents 116.7156
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 83.87150 cents 1: 7 116.71560 cents 1: 2 149.55970 cents 2: 2 200.58710 cents 2: 4 233.43120 cents 2: 4 266.27530 cents 3: 3 317.30270 cents 3: 1 350.14680 cents 3: 6 382.99090 cents 4: 2 434.01830 cents 4: 2 466.86240 cents 4: 6 499.70650 cents 5: 1 550.73390 cents 5: 4 583.57800 cents 5: 4 616.42210 cents 5: 1 649.26610 cents 6: 6 700.29360 cents 6: 2 733.13770 cents 6: 2 765.98170 cents 7: 6 817.00920 cents 7: 1 849.85320 cents 7: 3 882.69730 cents 8: 4 933.72470 cents 8: 4 966.56880 cents 8: 2 999.41290 cents 9: 2 1050.44030 cents 9: 7 1083.28440 cents 9: 1 1116.12850 cents Highest number of different intervals for one interval class: 4 Average number of different intervals per interval class: 3.11111 = 28/9
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 7 8 9 10 0.0 : 83.9 200.6 317.3 466.9 583.6 700.3 817.0 966.6 1083.3 1200.0 83.9 : 116.7 233.4 383.0 499.7 616.4 733.1 882.7 999.4 1116.1 1200.0 200.6 : 116.7 266.3 383.0 499.7 616.4 766.0 882.7 999.4 1083.3 1200.0 317.3 : 149.6 266.3 383.0 499.7 649.3 766.0 882.7 966.6 1083.3 1200.0 466.9 : 116.7 233.4 350.1 499.7 616.4 733.1 817.0 933.7 1050.4 1200.0 583.6 : 116.7 233.4 383.0 499.7 616.4 700.3 817.0 933.7 1083.3 1200.0 700.3 : 116.7 266.3 383.0 499.7 583.6 700.3 817.0 966.6 1083.3 1200.0 817.0 : 149.6 266.3 383.0 466.9 583.6 700.3 849.9 966.6 1083.3 1200.0 966.6 : 116.7 233.4 317.3 434.0 550.7 700.3 817.0 933.7 1050.4 1200.0 1083.3: 116.7 200.6 317.3 434.0 583.6 700.3 817.0 933.7 1083.3 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 83.8715 .. 149.5597 cents 65.68820 cents 83.87150 cents 2: 200.5871 .. 266.2753 cents 65.68820 cents 51.02740 cents 3: 317.3027 .. 382.9909 cents 65.68820 cents 51.02740 cents 4: 434.0183 .. 499.7065 cents 65.68820 cents 51.02740 cents 5: 550.7339 .. 649.2661 cents 98.53220 cents 51.02740 cents 6: 700.2936 .. 765.9817 cents 65.68810 cents 51.02750 cents 7: 817.0092 .. 882.6973 cents 65.68810 cents 51.02750 cents 8: 933.7247 .. 999.4129 cents 65.68820 cents 51.02740 cents 9: 1050.4403 .. 1116.1285 cents 65.68820 cents 51.02740 cents
SHOW DATA
Number of notes : 10 -- Interval properties -- Smallest interval : 83.87150 cents, class 1 Average step (divided formal octave): 120.0000 cents Largest one step interval : 149.55970 cents Average / Smallest step : 1.430760 Largest / Average step : 1.246331 Largest / Smallest step : 1.783200 Median interval of one step : 116.71560 cents, amount: 7 Most common interval of one step : 116.71560 cents, amount: 7 Least squares average step : 118.50709 cents, oct.: 1185.07089 cents Scale is strictly proper Scale is a mode of a 1717-tone equal temperament with octave 1200.000 cents degrees: 120 287 454 668 835 1002 1169 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: 16 = 6 more = 160.000% Number of contiguous 1-step segments: 0 Step pattern alph. order: ABBCBBBCBB Step pattern size order : SMMLMMMLMM Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 51.02740 cents Scale diversity : 1.414890 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.479969 Rothenberg efficiency : 0.447857 redundancy: 0.552143 Efficiency x scale size : 4.478571 Number of different interval sizes : 28 = 3.11111 / class Number of one step interval sizes : 3 Highest interval variety : 4 Mean interval variety : 3.11111 = 28/9 Median interval variety : 3 Lowest interval variety : 3 Smallest interval difference : 32.84400 cents Most common intervals : 116.71560 cents & inv., amount: 7 Number of recognisable fifths : 6, average 700.2936 cents Formal octave complements present : 1 = 10.0000% Limited inverse transpositions : 1 Inversional symmetry on intervals : 0-1 5-6 -- Rational properties --
FIT/MODE
10: 1 1 1 1 1 1 1 1 1 1 SP B ME I SD: 24.6877 c. M:-42.6973 c. 12: 1 1 1 2 1 1 1 2 1 1 P D3 SD: 19.0108 c. M:-33.4312 c. 16: 1 2 1 2 2 1 2 2 1 2 P D3 SD: 18.4680 c. M: 33.2844 c. 19: 1 2 2 2 2 2 2 2 2 2 SP M ME SD: 13.8041 c. M: 24.7571 c. 20: 1 2 2 3 2 2 2 2 2 2 P T3 SD: 16.4505 c. M: 23.8715 c. 22: 2 2 2 3 2 2 2 3 2 2 SP D3 SD: 15.0412 c. M:-25.2194 c. 25: 2 2 3 3 2 3 2 3 3 2 P D3 SD: 12.8922 c. M:-20.7156 c. 26: 2 2 3 3 3 2 3 3 2 3 P D3 SD: 11.7929 c. M: 21.7459 c. 28: 2 3 2 4 3 2 3 4 2 3 P T3 SD: 12.2803 c. M:-19.1455 c. 29: 2 3 3 3 3 3 3 3 3 3 SP M ME SD: 8.8417 c. M: 14.8447 c. 31: 2 3 3 4 3 3 3 4 3 3 SP SD: 4.4090 c. M: 7.6253 c. 41: 3 4 4 5 4 4 4 5 4 4 SP SD: 2.6878 c. M:-4.6485 c. 72: 5 7 7 9 7 7 7 9 7 7 SP SD: 0.3678 c. M: 0.6360 c. 185: 13 18 18 23 18 18 18 23 18 18 SP SD: 0.3094 c. M:-0.5351 c. 257: 18 25 25 32 25 25 25 32 25 25 SP SD: 0.1197 c. M:-0.2070 c. 329: 23 32 32 41 32 32 32 41 32 32 SP SD: 0.0130 c. M:-0.0225 c. 1059: 74 103 103 132 103 103 103 132 103 103 SP SD: 0.0129 c. M: 0.0222 c. 1388: 97 135 135 173 135 135 135 173 135 135 SP SD: 0.0067 c. M: 0.0116 c. 1717: 120 167 167 214 167 167 167 214 167 167 SP SD: 0.0030 c. M: 0.0051 c. 2046: 143 199 199 255 199 199 199 255 199 199 SP SD: 0.0004 c. M: 0.0006 c.
FIT/HARMONIC
1 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 4 S SD: 0.8307 cents 3 x x x 4 x x 5 x x 6 S SD: 24.7393 cents 4 x x 5 x x 6 x 7 x 8 S SD: 17.2670 cents 5 x x 6 x 7 x 8:9 x 10 S SD: 10.2347 cents 6 x x 7:8 x 9:10 x 11:12 S SD: 15.9905 cents 7 x 8 x 9:10 x 11:12:13:14 S SD: 10.6322 cents 8 x 9:10 x 11:12:13:14:15:16 S SD: 10.0001 cents 9 x 10:11:12:13 x 14:16:17:18 S SD: 11.8078 cents 10 x 11:12:13:14:15:16:17:19:20 SD: 7.4702 cents 11 x 12:13:14:15:16:18:19:21:22 SD: 12.9329 cents 12:13 x 14:16:17:18:19:21:22:24 SD: 10.2463 cents 13:14:15:16:17:18:19:21:23:24:26 SD: 9.6781 cents 14:15:16:17:18:20:21:22:24:26:28 S SD: 8.4626 cents 15:16:17:18:20:21:22:24:26:28:30 S SD: 6.0183 cents 16:17:18:19:21:22:24:26:28:30:32 SD: 4.9891 cents 20:21:22:24:26:28:30:32:35:37:40 SD: 4.2219 cents 23:24:26:28:30:32:34:37:40:43:46 SD: 4.0437 cents 25:26:28:30:33:35:37:40:44:47:50 SD: 3.4407 cents 32:34:36:38:42:45:48:51:56:60:64 SD: 3.2271 cents 35:37:39:42:46:49:52:56:61:65:70 SD: 2.7593 cents 38:40:43:46:50:53:57:61:66:71:76 SD: 2.5249 cents 39:41:44:47:51:55:58:63:68:73:78 SD: 2.4868 cents 40:42:45:48:52:56:60:64:70:75:80 SD: 1.4799 cents 55:58:62:66:72:77:82:88:96:103:110 SD: 1.4794 cents 58:61:65:70:76:81:87:93:101:108:116 SD: 1.4566 cents 60:63:67:72:79:84:90:96:105:112:120 SD: 1.4499 cents 64:67:72:77:84:90:96:103:112:120:128 SD: 1.3353 cents 74:78:83:89:97:104:111:119:129:138:148 SD: 1.2920 cents 75:79:84:90:98:105:112:120:131:140:150 SD: 1.1433 cents 80:84:90:96:105:112:120:128:140:150:160 SD: 0.8625 cents 98:103:110:118:128:137:147:157:171:183:196 SD: 0.8535 cents 100:105:112:120:131:140:150:160:175:187:200 SD: 0.6551 cents 123:129:138:148:161:172:184:197:215:230:246 SD: 0.5910 cents 138:145:155:166:181:193:207:221:241:258:276 SD: 0.5746 cents 139:146:156:167:182:195:208:223:243:260:278 SD: 0.4180 cents 204:214:229:245:267:286:306:327:357:381:408 SD: 0.3900 cents 219:230:246:263:287:307:328:351:383:409:438 SD: 0.3238 cents 239:251:268:287:313:335:358:383:418:447:478 SD: 0.3214 cents 245:257:275:294:321:343:367:393:428:458:490 SD: 0.2923 cents 259:272:291:311:339:363:388:415:453:484:518 SD: 0.2673 cents 277:291:311:333:363:388:415:444:484:518:554 SD: 0.2547 cents 285:299:320:342:373:399:427:457:498:533:570 SD: 0.2527 cents 317:333:356:381:415:444:475:508:554:593:634 SD: 0.2188 cents 381:400:428:458:499:534:571:611:666:712:762 SD: 0.2149 cents 401:421:450:482:525:562:601:643:701:750:802 SD: 0.2064 cents 407:427:457:489:533:570:610:652:711:761:814 SD: 0.1800 cents 423:444:475:508:554:593:634:678:739:791:846 SD: 0.1576 cents 481:505:540:578:630:674:721:771:841:899:962 SD: 0.1475 cents 504:529:566:605:660:706:755:808:881:942:1008 SD: 0.1426 cents 507:532:569:609:664:710:760:813:886:948:1014 SD: 0.1416 cents 527:553:592:633:690:738:790:845:921:985:1054 SD: 0.1415 cents 546:573:613:656:715:765:818:875:954:1021:1092 SD: 0.1122 cents 562:590:631:675:736:787:842:901:982:1051:1124 SD: 0.1026 cents