Scala analysis: aaron245
TOP tuned 245/243-planar tempering of aaron.scl
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 56.195 cents 56.195308 2: 206.746 cents 206.745990 3: 262.941 cents 262.941298 4: 440.432 cents 440.431697 5: 496.627 cents 496.627005 6: 525.883 cents 525.882596 7: 703.373 cents 703.372995 8: 759.568 cents 759.568303 9: 937.059 cents 937.058702 10: 966.314 cents 966.314293 11: 1022.510 cents 1022.509601 12: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 177.4904 cents 177.4904 1: 56.1953 cents 56.1953 2: 150.5507 cents 150.5507 3: 56.1953 cents 56.1953 4: 177.4904 cents 177.4904 5: 56.1953 cents 56.1953 6: 29.2556 cents 29.2556 7: 177.4904 cents 177.4904 8: 56.1953 cents 56.1953 9: 177.4904 cents 177.4904 10: 29.2556 cents 29.2556 11: 56.1953 cents 56.1953 12: 177.4904 cents 177.4904
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 2 29.25559 cents 1: 5 56.19531 cents 1: 1 150.55068 cents 1: 4 177.49040 cents 2: 2 85.45090 cents 2: 4 206.74599 cents 2: 6 233.68571 cents 3: 7 262.94130 cents 3: 2 289.88102 cents 3: 2 384.23639 cents 3: 1 411.17611 cents 4: 4 319.13661 cents 4: 8 440.43170 cents 5: 3 469.68729 cents 5: 8 496.62701 cents 5: 1 617.92210 cents 6: 4 525.88260 cents 6: 2 552.82231 cents 6: 2 647.17769 cents 6: 4 674.11740 cents 7: 1 582.07790 cents 7: 8 703.37300 cents 7: 3 730.31271 cents 8: 8 759.56830 cents 8: 4 880.86339 cents 9: 1 788.82389 cents 9: 2 815.76361 cents 9: 2 910.11899 cents 9: 7 937.05870 cents 10: 6 966.31429 cents 10: 4 993.25401 cents 10: 2 1114.54910 cents 11: 4 1022.50960 cents 11: 1 1049.44932 cents 11: 5 1143.80469 cents 11: 2 1170.74441 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 : 56.2 206.7 262.9 440.4 496.6 525.9 703.4 759.6 937.1 966.3 1022.5 1200.0 56.2 : 150.6 206.7 384.2 440.4 469.7 647.2 703.4 880.9 910.1 966.3 1143.8 1200.0 206.7 : 56.2 233.7 289.9 319.1 496.6 552.8 730.3 759.6 815.8 993.3 1049.4 1200.0 262.9 : 177.5 233.7 262.9 440.4 496.6 674.1 703.4 759.6 937.1 993.3 1143.8 1200.0 440.4 : 56.2 85.5 262.9 319.1 496.6 525.9 582.1 759.6 815.8 966.3 1022.5 1200.0 496.6 : 29.3 206.7 262.9 440.4 469.7 525.9 703.4 759.6 910.1 966.3 1143.8 1200.0 525.9 : 177.5 233.7 411.2 440.4 496.6 674.1 730.3 880.9 937.1 1114.5 1170.7 1200.0 703.4 : 56.2 233.7 262.9 319.1 496.6 552.8 703.4 759.6 937.1 993.3 1022.5 1200.0 759.6 : 177.5 206.7 262.9 440.4 496.6 647.2 703.4 880.9 937.1 966.3 1143.8 1200.0 937.1 : 29.3 85.5 262.9 319.1 469.7 525.9 703.4 759.6 788.8 966.3 1022.5 1200.0 966.3 : 56.2 233.7 289.9 440.4 496.6 674.1 730.3 759.6 937.1 993.3 1170.7 1200.0 1022.5: 177.5 233.7 384.2 440.4 617.9 674.1 703.4 880.9 937.1 1114.5 1143.8 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 29.2556 .. 177.4904 cents 148.23481 cents 29.25559 cents 2: 85.4509 .. 233.6857 cents 148.23481 cents -92.03950 cents 3: 262.9413 .. 411.1761 cents 148.23481 cents 29.25559 cents 4: 319.1366 .. 440.4317 cents 121.29509 cents -92.03950 cents 5: 469.6873 .. 617.9221 cents 148.23481 cents 29.25559 cents 6: 525.8826 .. 674.1174 cents 148.23481 cents -92.03950 cents 7: 582.0779 .. 730.3127 cents 148.23481 cents -92.03950 cents 8: 759.5683 .. 880.8634 cents 121.29509 cents 29.25559 cents 9: 788.8239 .. 937.0587 cents 148.23481 cents -92.03950 cents 10: 966.3143 .. 1114.5491 cents 148.23481 cents 29.25559 cents 11: 1022.5096 .. 1170.7444 cents 148.23481 cents -92.03950 cents
SHOW DATA
Number of notes : 12 -- Interval properties -- Smallest interval : 29.25559 cents, class 1 Average step (divided formal octave): 100.0000 cents Largest one step interval : 177.49040 cents Average / Smallest step : 3.418150 Largest / Average step : 1.774904 Largest / Smallest step : 6.066888 Median interval of one step : 56.19531 cents, amount: 5 Most common interval of one step : 56.19531 cents, amount: 5 Least squares average step : 97.54324 cents, oct.: 1170.51882 cents Scale is not proper Step pattern alph. order: ABACADCACDAC Step pattern size order : BCBDBADBDABD Scale is a Constant Structure, by a margin of 29.25559 cents Scale diversity : 1.405562 Lumma stability : 0.146278 Lumma impropriety factor : 0.430327 Rothenberg efficiency : 0.395893 redundancy: 0.604107 Efficiency x scale size : 4.750722 Number of different interval sizes : 36 = 3.27273 / class Number of one step interval sizes : 4 Highest interval variety : 4 Mean interval variety : 3.27273 = 36/11 Median interval variety : 2 Lowest interval variety : 2 Smallest interval difference : 26.93972 cents Number of recognisable fifths : 8, average 703.3730 cents Formal octave complements present : 7 = 58.3333% Limited inverse transpositions : 3 Inversional symmetry on intervals : 1-2 7-8 -- Rational properties --
FIT/MODE
12: 0 2 0 2 1 0 2 0 2 0 1 2 N D3 SD: 40.1232 c. M: 66.3143 c. 13: 1 1 1 2 0 1 2 0 2 0 1 2 N SD: 26.2050 c. M: 43.2374 c. 14: 1 1 1 2 1 0 2 1 2 0 1 2 N D3 SD: 17.8241 c. M: 35.3174 c. 17: 1 2 1 2 1 0 3 1 2 1 0 3 N SD: 18.7843 c. M: 34.2743 c. 19: 1 2 1 3 1 0 3 1 3 0 1 3 N SD: 11.6971 c. M: 20.6194 c. 22: 1 3 1 3 1 1 3 1 3 1 1 3 N M DE SD: 10.1607 c. M:-19.5719 c. 27: 1 4 1 4 1 1 4 1 4 1 1 4 N M DE SD: 7.8757 c. M:-15.4762 c. 36: 2 4 2 5 2 1 5 2 5 1 2 5 N SD: 6.3195 c. M:-10.8237 c. 41: 2 5 2 6 2 1 6 2 6 1 2 6 N SD: 1.2835 c. M:-2.3413 c. 87: 4 11 4 13 4 2 13 4 13 2 4 13 N SD: 0.9742 c. M: 1.8199 c. 128: 6 16 6 19 6 3 19 6 19 3 6 19 N SD: 0.4558 c. M: 0.8826 c. 169: 8 21 8 25 8 4 25 8 25 4 8 25 N SD: 0.4252 c. M: 0.8288 c. 278: 13 35 13 41 13 7 41 13 41 7 13 41 N SD: 0.3846 c. M:-0.7361 c. 297: 14 37 14 44 14 7 44 14 44 7 14 44 N SD: 0.4035 c. M: 0.6854 c. 319: 15 40 15 47 15 8 47 15 47 8 15 47 N SD: 0.3906 c. M:-0.7632 c. 324: 15 41 15 48 15 8 48 15 48 8 15 48 N SD: 0.3495 c. M:-0.6614 c. 365: 17 46 17 54 17 9 54 17 54 9 17 54 N SD: 0.1904 c. M:-0.3773 c. 406: 19 51 19 60 19 10 60 19 60 10 19 60 N SD: 0.1200 c. M:-0.2258 c. 493: 23 62 23 73 23 12 73 23 73 12 23 73 N SD: 0.1215 c. M: 0.2115 c. 534: 25 67 25 79 25 13 79 25 79 13 25 79 N SD: 0.0208 c. M: 0.0399 c. 1474: 69 185 69 218 69 36 218 69 218 36 69 218 N SD: 0.0220 c. M:-0.0383 c. 2008: 94 252 94 297 94 49 297 94 297 49 94 297 N SD: 0.0138 c. M:-0.0269 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: 0.7090 cents 3 x x x x 4 x x x 5 x x 6 S SD: 17.5730 cents 4 x x x 5 x x 6 x x 7 x 8 S SD: 13.5487 cents 5 x x 6 x x 7 x 8 x x 9:10 S SD: 18.9072 cents 6 x x 7 x 8 x 9 x 10 x 11:12 S SD: 9.8852 cents 7 x 8 x 9 x x x 11:12 x 13:14 SD: 9.9807 cents 8 x 9 x 10 x 11:12 x x 14 x 16 S SD: 9.9890 cents 9 x 10 x x 12 x x 14:15 x 16:18 S SD: 10.6698 cents 10 x 11:12:13 x 14:15:16:17 x 18:20 S SD: 11.7645 cents 11 x 12:13:14 x 15 x 17:19 x 20:22 SD: 8.6248 cents 12 x x 14:15:16 x 18:19 x 21:22:24 SD: 8.8131 cents 13:14 x 15:17 x 18 x 20:22:23 x 26 SD: 11.6935 cents 14:15:16 x 18 x 19:21:22:24 x 25:28 SD: 8.2600 cents 15:16:17 x 19:20 x x 23 x 26:27:30 SD: 8.6260 cents 16:17:18:19 x 21:22:24:25:27:28:29:32 SD: 7.0988 cents 17:18:19:20:22 x 23 x 26:29:30:31:34 SD: 6.1146 cents 18:19:20:21:23:24 x 27:28:31 x 32:36 SD: 5.4888 cents 19:20:21:22 x 25:26 x 29 x 33:34:38 SD: 7.1307 cents 20:21 x 23:26 x 27:30:31:34:35:36:40 SD: 4.2917 cents 21:22:24 x 27:28 x 32:33:36:37:38:42 SD: 5.1475 cents 22:23:25:26:28:29:30:33:34:38 x 40:44 SD: 4.6311 cents 23:24:26:27:30 x 31:35:36 x 40:42:46 SD: 4.7906 cents 24:25:27:28:31:32:33:36:37:41:42:43:48 SD: 2.9670 cents 26:27:29:30:34 x 35:39:40:45 x 47:52 SD: 4.1090 cents 28:29:32:33:36:37:38:42:43:48:49:51:56 SD: 3.6004 cents 29:30:33:34:37 x 39:44:45:50:51:52:58 SD: 3.6301 cents 30:31:34:35:39:40:41:45:47 x 52:54:60 SD: 2.9665 cents 31:32:35:36:40:41:42:47:48:53:54:56:62 SD: 2.0305 cents 32:33:36:37:41 x 43:48:50:55:56:58:64 SD: 2.4323 cents 35:36:39:41:45:47 x 53:54:60:61:63:70 SD: 3.0600 cents 36:37:41:42:46:48:49:54:56:62:63:65:72 SD: 2.3667 cents 38:39:43:44:49:51 x 57:59:65:66:69:76 SD: 2.4173 cents 42:43:47:49:54:56:57:63:65:72:73:76:84 SD: 1.9923 cents 48:50:54:56:62:64:65:72:74:82:84:87:96 SD: 1.8708 cents 54:56:61:63:70:72:73:81:84:93:94:97:108 SD: 1.5342 cents 56:58:63:65:72:75:76:84:87:96:98:101:112 SD: 1.2038 cents 62:64:70:72:80:83:84:93:96:107:108:112:124 SD: 1.1782 cents 84:87:95:98:108:112:114:126:130:144:147:152:168 SD: 1.0809 cents 86:89:97:100:111:115:117:129:133:148:150:155:172 SD: 1.0503 cents 87:90:98:101:112:116:118:131:135:149:152:157:174 SD: 0.8446 cents 93:96:105:108:120:124:126:140:144:160:163:168:186 SD: 0.8139 cents 96:99:108:112:124:128:130:144:149:165:168:173:192 SD: 0.6527 cents 118:122:133:137:152:157:160:177:183:203:206:213:236 SD: 0.5472 cents 127:131:143:148:164:169:172:191:197:218:222:229:254 SD: 0.5139 cents 175:181:197:204:226:233:237:263:271:301:306:316:350 SD: 0.4977 cents 180:186:203:210:232:240:244:270:279:309:315:325:360 SD: 0.4798 cents 181:187:204:211:233:241:245:272:281:311:316:327:362 SD: 0.4757 cents 183:189:206:213:236:244:248:275:284:314:320:330:366 SD: 0.3736 cents 189:195:213:220:244:252:256:284:293:325:330:341:378 SD: 0.3489 cents 214:221:241:249:276:285:290:321:332:368:374:386:428 SD: 0.2451 cents 245:253:276:285:316:326:332:368:380:421:428:442:490 SD: 0.2447 cents 298:308:336:347:384:397:404:447:462:512:521:538:596 SD: 0.2426 cents 301:311:339:350:388:401:408:452:467:517:526:543:602 SD: 0.2361 cents 329:340:371:383:424:438:446:494:510:565:575:594:658 SD: 0.2275 cents 341:352:384:397:440:454:462:512:529:586:596:616:682 SD: 0.2239 cents 355:367:400:413:458:473:481:533:551:610:620:641:710 SD: 0.2160 cents 361:373:407:420:466:481:489:542:560:620:631:652:722 SD: 0.2111 cents 391:404:441:455:504:521:530:587:606:672:683:706:782 SD: 0.2091 cents 397:410:447:462:512:529:538:596:616:682:694:717:794 SD: 0.1810 cents 401:414:452:467:517:534:543:602:622:689:701:724:802 SD: 0.1792 cents 425:439:479:495:548:566:576:638:659:730:743:767:850 SD: 0.1430 cents 487:503:549:567:628:649:660:731:755:837:851:879:974 SD: 0.1108 cents