Scala analysis: minvera12
Minvera[12] (99/98&176/175) 11-limit hobbit, POTE tuning
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 113.183 cents 113.182600 2: 226.365 cents 226.365200 3: 273.376 cents 273.375520 4: 386.558 cents 386.558120 5: 499.741 cents 499.740730 6: 587.077 cents 587.076670 7: 700.259 cents 700.259270 8: 813.442 cents 813.441880 9: 926.624 cents 926.624480 10: 973.635 cents 973.634800 11: 1086.817 cents 1086.817400 12: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 113.1826 cents 113.1826 1: 113.1826 cents 113.1826 2: 113.1826 cents 113.1826 3: 47.0103 cents 47.0103 4: 113.1826 cents 113.1826 5: 113.1826 cents 113.1826 6: 87.3359 cents 87.3359 7: 113.1826 cents 113.1826 8: 113.1826 cents 113.1826 9: 113.1826 cents 113.1826 10: 47.0103 cents 47.0103 11: 113.1826 cents 113.1826 12: 113.1826 cents 113.1826
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 2 47.01032 cents 1: 1 87.33594 cents 1: 9 113.18260 cents 2: 4 160.19292 cents 2: 2 200.51855 cents 2: 6 226.36520 cents 3: 6 273.37552 cents 3: 3 313.70115 cents 3: 3 339.54781 cents 4: 1 360.71147 cents 4: 7 386.55812 cents 4: 3 426.88375 cents 4: 1 452.73040 cents 5: 3 473.89407 cents 5: 7 499.74073 cents 5: 2 540.06636 cents 6: 1 546.75104 cents 6: 5 587.07667 cents 6: 5 612.92333 cents 6: 1 653.24896 cents 7: 2 659.93364 cents 7: 7 700.25927 cents 7: 3 726.10593 cents 8: 1 747.26960 cents 8: 3 773.11625 cents 8: 7 813.44188 cents 8: 1 839.28853 cents 9: 3 860.45220 cents 9: 3 886.29885 cents 9: 6 926.62448 cents 10: 6 973.63480 cents 10: 2 999.48145 cents 10: 4 1039.80708 cents 11: 9 1086.81740 cents 11: 1 1112.66406 cents 11: 2 1152.98968 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 : 113.2 226.4 273.4 386.6 499.7 587.1 700.3 813.4 926.6 973.6 1086.8 1200.0 113.2 : 113.2 160.2 273.4 386.6 473.9 587.1 700.3 813.4 860.5 973.6 1086.8 1200.0 226.4 : 47.0 160.2 273.4 360.7 473.9 587.1 700.3 747.3 860.5 973.6 1086.8 1200.0 273.4 : 113.2 226.4 313.7 426.9 540.1 653.2 700.3 813.4 926.6 1039.8 1153.0 1200.0 386.6 : 113.2 200.5 313.7 426.9 540.1 587.1 700.3 813.4 926.6 1039.8 1086.8 1200.0 499.7 : 87.3 200.5 313.7 426.9 473.9 587.1 700.3 813.4 926.6 973.6 1086.8 1200.0 587.1 : 113.2 226.4 339.5 386.6 499.7 612.9 726.1 839.3 886.3 999.5 1112.7 1200.0 700.3 : 113.2 226.4 273.4 386.6 499.7 612.9 726.1 773.1 886.3 999.5 1086.8 1200.0 813.4 : 113.2 160.2 273.4 386.6 499.7 612.9 659.9 773.1 886.3 973.6 1086.8 1200.0 926.6 : 47.0 160.2 273.4 386.6 499.7 546.8 659.9 773.1 860.5 973.6 1086.8 1200.0 973.6 : 113.2 226.4 339.5 452.7 499.7 612.9 726.1 813.4 926.6 1039.8 1153.0 1200.0 1086.8: 113.2 226.4 339.5 386.6 499.7 612.9 700.3 813.4 926.6 1039.8 1086.8 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 47.0103 .. 113.1826 cents 66.17228 cents 47.01032 cents 2: 160.1929 .. 226.3652 cents 66.17228 cents 47.01032 cents 3: 273.3755 .. 339.5478 cents 66.17229 cents 47.01032 cents 4: 360.7115 .. 452.7304 cents 92.01893 cents 21.16366 cents 5: 473.8941 .. 540.0664 cents 66.17229 cents 21.16367 cents 6: 546.7510 .. 653.2490 cents 106.49792 cents 6.68468 cents 7: 659.9336 .. 726.1059 cents 66.17229 cents 6.68468 cents 8: 747.2696 .. 839.2885 cents 92.01893 cents 21.16367 cents 9: 860.4522 .. 926.6245 cents 66.17228 cents 21.16367 cents 10: 973.6348 .. 1039.8071 cents 66.17228 cents 47.01032 cents 11: 1086.8174 .. 1152.9897 cents 66.17228 cents 47.01032 cents
SHOW DATA
Number of notes : 12 -- Interval properties -- Smallest interval : 47.01032 cents, class 1 Average step (divided formal octave): 100.0000 cents Largest one step interval : 113.18260 cents Average / Smallest step : 2.127192 Largest / Average step : 1.131826 Largest / Smallest step : 2.407612 Median interval of one step : 113.18260 cents, amount: 9 Most common interval of one step : 113.18260 cents, amount: 9 Least squares average step : 99.68269 cents, oct.: 1196.19222 cents Scale is strictly proper Step pattern alph. order: AABAACAAABAA Step pattern size order : LLSLLMLLLSLL Scale is a Constant Structure, by a margin of 6.68468 cents Scale diversity : 1.409847 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.316738 Rothenberg efficiency : 0.416997 redundancy: 0.583003 Efficiency x scale size : 5.003968 Number of different interval sizes : 36 = 3.27273 / 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 : 6.68468 cents Most common intervals : 113.18260 cents & inv., amount: 9 Most common triad is 0.0 113.183 1086.817 cents, amount: 6 Number of recognisable fifths : 7, average 700.2593 cents Scale contains two identical disjunct hexachords Best fifths form a closed circle Formal octave complements present : 11 = 91.6667% -- Rational properties --
FIT/MODE
12: 1 1 1 1 1 1 1 1 1 1 1 1 SP B ME I SD: 17.5215 c. M:-26.6245 c. Twelve-tone Chromatic (1/11-comma) 19: 2 2 0 2 2 1 2 2 2 0 2 2 N SD: 16.0994 c. M: 26.2664 c. 21: 2 2 1 2 2 1 2 2 2 1 2 2 P D3 SD: 10.5909 c. M: 15.6481 c. 22: 2 2 1 2 2 2 2 2 2 1 2 2 P D3 I SD: 6.6846 c. M:-12.9233 c. 31: 3 3 1 3 3 2 3 3 3 1 3 3 P SD: 3.7041 c. M: 6.4315 c. 43: 4 4 2 4 4 3 4 4 4 2 4 4 SP SD: 3.3877 c. M:-5.6942 c. 53: 5 5 2 5 5 4 5 5 5 2 5 5 P SD: 1.2570 c. M:-1.6774 c. 96: 9 9 4 9 9 7 9 9 9 4 9 9 SP SD: 1.0011 c. M:-1.6245 c. 127: 12 12 5 12 12 9 12 12 12 5 12 12 SP SD: 0.7308 c. M: 1.2499 c. 149: 14 14 6 14 14 11 14 14 14 6 14 14 SP SD: 0.5254 c. M: 0.8618 c. 180: 17 17 7 17 17 13 17 17 17 7 17 17 SP SD: 0.2154 c. M: 0.4100 c. 329: 31 31 13 31 31 24 31 31 31 13 31 31 SP SD: 0.1385 c. M: 0.2254 c. 509: 48 48 20 48 48 37 48 48 48 20 48 48 SP SD: 0.0632 c. M:-0.1019 c. 742: 70 70 29 70 70 54 70 70 70 29 70 70 SP SD: 0.0369 c. M:-0.0602 c. 1071: 101 101 42 101 101 78 101 101 101 42 101 101 SP SD: 0.0219 c. M:-0.0382 c. 1251: 118 118 49 118 118 91 118 118 118 49 118 118 SP SD: 0.0139 c. M: 0.0263 c. 1813: 171 171 71 171 171 132 171 171 171 71 171 171 SP SD: 0.0126 c. M:-0.0165 c. 2322: 219 219 91 219 219 169 219 219 219 91 219 219 SP SD: 0.0060 c. M:-0.0095 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: 0.8479 cents 3 x x x x 4 x x x 5 x x 6 S SD: 14.0999 cents 4 x x x 5 x x 6 x x 7 x 8 S SD: 1.2762 cents 5 x x 6 x x 7 x 8 x 9 x 10 S SD: 12.2309 cents 6 x x 7 x 8 x 9 x 10 x 11:12 S SD: 9.4829 cents 7 x 8 x 9 x 10 x 11:12 x 13:14 S SD: 9.6165 cents 8 x 9 x 10 x 11:12:13 x 14:15:16 S SD: 6.3057 cents 9 x 10 x 11:12:13 x 14:15:16:17:18 S SD: 11.5312 cents 10:11 x 12 x 13:14:15:16:17:18:19:20 S SD: 9.5703 cents 11:12 x 13:14:15 x 16:18:19 x 21:22 SD: 10.9080 cents 12:13 x 14:15:16:17:18:19 x 21:22:24 SD: 5.1886 cents 13:14:15 x 16:17:18:19:21:22:23:24:26 SD: 7.3165 cents 14:15:16 x 18:19:20:21:22:24:25:26:28 S SD: 7.2279 cents 15:16:17:18:19:20:21:22:24 x 26:28:30 S SD: 5.9622 cents 16:17:18:19:20:21:22:24:26:27:28:30:32 S SD: 5.5682 cents 17:18:19:20:21:23:24:25:27:29:30:32:34 SD: 5.1893 cents 18:19 x 21:23:24:25:27:29:31:32:34:36 SD: 5.1939 cents 19:20 x 22:24:25:27:28:30:32:33:36:38 SD: 6.4247 cents 20:21:23 x 25:27:28:30:32:34:35:37:40 SD: 4.1117 cents 24:26:27:28:30:32:34:36:38:41:42:45:48 SD: 3.5315 cents 26:28:30 x 33:35:36:39:42:44:46:49:52 SD: 4.9754 cents 27:29:31:32:34:36:38:40:43:46:47:51:54 SD: 3.4918 cents 28:30:32:33:35:37:39:42:45:48:49:52:56 SD: 2.6637 cents 30:32:34:35:38:40:42:45:48:51:53:56:60 SD: 2.5234 cents 40:43:46:47:50:53:56:60:64:68:70:75:80 SD: 2.1919 cents 42:45:48:49:53:56:59:63:67:72:74:79:84 SD: 1.9294 cents 45:48:51:53:56:60:63:67:72:77:79:84:90 SD: 1.7802 cents 48:51:55:56:60:64:67:72:77:82:84:90:96 SD: 1.5480 cents 57:61:65:67:71:76:80:85:91:97:100:107:114 SD: 1.2872 cents 71:76:81:83:89:95:100:106:114:121:125:133:142 SD: 1.2786 cents 72:77:82:84:90:96:101:108:115:123:126:135:144 SD: 0.8049 cents 107:114:122:125:134:143:150:160:171:183:188:200:214 SD: 0.8026 cents 116:124:132:136:145:155:163:174:186:198:204:217:232 SD: 0.6641 cents 128:137:146:150:160:171:180:192:205:219:225:240:256 SD: 0.6615 cents 129:138:147:151:161:172:181:193:206:220:226:242:258 SD: 0.6604 cents 134:143:153:157:168:179:188:201:214:229:235:251:268 SD: 0.6067 cents 144:154:164:169:180:192:202:216:230:246:253:270:288 SD: 0.5668 cents 151:161:172:177:189:202:212:226:242:258:265:283:302 SD: 0.5536 cents 152:162:173:178:190:203:213:228:243:260:267:285:304 SD: 0.5285 cents 164:175:187:192:205:219:230:246:262:280:288:307:328 SD: 0.3454 cents 223:238:254:261:279:298:313:334:357:381:391:418:446 SD: 0.3174 cents 251:268:286:294:314:335:352:376:402:429:440:470:502 SD: 0.3162 cents 252:269:287:295:315:336:354:378:403:430:442:472:504 SD: 0.3013 cents 263:281:300:308:329:351:369:394:421:449:462:493:526 SD: 0.2894 cents 280:299:319:328:350:374:393:420:448:478:491:525:560 SD: 0.2652 cents 287:306:327:336:359:383:403:430:459:490:504:538:574 SD: 0.2619 cents 293:313:334:343:366:391:411:439:469:500:514:549:586 SD: 0.2457 cents 315:336:359:369:394:420:442:472:504:538:553:590:630 SD: 0.2223 cents 367:392:418:430:459:490:515:550:587:627:644:688:734 SD: 0.2010 cents 379:405:432:444:474:506:532:568:606:647:665:710:758 SD: 0.1968 cents 387:413:441:453:484:517:543:580:619:661:679:725:774 SD: 0.1863 cents 415:443:473:486:519:554:583:622:664:709:728:777:830 SD: 0.1762 cents 428:457:488:501:535:571:601:641:685:731:751:802:856 SD: 0.1644 cents 445:475:507:521:556:594:625:667:712:760:781:834:890 SD: 0.1514 cents 473:505:539:554:591:631:664:709:757:808:830:886:946 SD: 0.1366 cents 520:555:593:609:650:694:730:779:832:888:913:974:1040 SD: 0.1361 cents 544:581:620:637:680:726:764:815:870:929:955:1019:1088 SD: 0.1288 cents 579:618:660:678:724:773:813:868:926:989:1016:1085:1158 SD: 0.1173 cents 592:632:675:693:740:790:831:887:947:1011:1039:1109:1184 SD: 0.0954 cents