Scala analysis: akj245
TOP tuned 245/243-planar tempering of akj.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: 647.178 cents 647.177687 7: 703.373 cents 703.372995 8: 759.568 cents 759.568303 9: 910.119 cents 910.118986 10: 993.254 cents 993.254010 11: 1143.805 cents 1143.804692 12: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 56.1953 cents 56.1953 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: 150.5507 cents 150.5507 7: 56.1953 cents 56.1953 8: 56.1953 cents 56.1953 9: 150.5507 cents 150.5507 10: 83.1350 cents 83.1350 11: 150.5507 cents 150.5507 12: 56.1953 cents 56.1953
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 6 56.19531 cents 1: 1 83.13502 cents 1: 4 150.55068 cents 1: 1 177.49040 cents 2: 2 112.39062 cents 2: 6 206.74599 cents 2: 4 233.68571 cents 3: 6 262.94130 cents 3: 3 289.88102 cents 3: 3 384.23639 cents 4: 2 319.13661 cents 4: 2 346.07632 cents 4: 2 413.49198 cents 4: 6 440.43170 cents 5: 2 469.68729 cents 5: 9 496.62701 cents 5: 1 590.98238 cents 6: 6 552.82231 cents 6: 6 647.17769 cents 7: 1 609.01762 cents 7: 9 703.37300 cents 7: 2 730.31271 cents 8: 6 759.56830 cents 8: 2 786.50802 cents 8: 2 853.92368 cents 8: 2 880.86339 cents 9: 3 815.76361 cents 9: 3 910.11899 cents 9: 6 937.05870 cents 10: 4 966.31429 cents 10: 6 993.25401 cents 10: 2 1087.60938 cents 11: 1 1022.50960 cents 11: 4 1049.44932 cents 11: 1 1116.86498 cents 11: 6 1143.80469 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 : 56.2 206.7 262.9 440.4 496.6 647.2 703.4 759.6 910.1 993.3 1143.8 1200.0 56.2 : 150.6 206.7 384.2 440.4 591.0 647.2 703.4 853.9 937.1 1087.6 1143.8 1200.0 206.7 : 56.2 233.7 289.9 440.4 496.6 552.8 703.4 786.5 937.1 993.3 1049.4 1200.0 262.9 : 177.5 233.7 384.2 440.4 496.6 647.2 730.3 880.9 937.1 993.3 1143.8 1200.0 440.4 : 56.2 206.7 262.9 319.1 469.7 552.8 703.4 759.6 815.8 966.3 1022.5 1200.0 496.6 : 150.6 206.7 262.9 413.5 496.6 647.2 703.4 759.6 910.1 966.3 1143.8 1200.0 647.2 : 56.2 112.4 262.9 346.1 496.6 552.8 609.0 759.6 815.8 993.3 1049.4 1200.0 703.4 : 56.2 206.7 289.9 440.4 496.6 552.8 703.4 759.6 937.1 993.3 1143.8 1200.0 759.6 : 150.6 233.7 384.2 440.4 496.6 647.2 703.4 880.9 937.1 1087.6 1143.8 1200.0 910.1 : 83.1 233.7 289.9 346.1 496.6 552.8 730.3 786.5 937.1 993.3 1049.4 1200.0 993.3 : 150.6 206.7 262.9 413.5 469.7 647.2 703.4 853.9 910.1 966.3 1116.9 1200.0 1143.8: 56.2 112.4 262.9 319.1 496.6 552.8 703.4 759.6 815.8 966.3 1049.4 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 56.1953 .. 177.4904 cents 121.29509 cents 56.19531 cents 2: 112.3906 .. 233.6857 cents 121.29509 cents -65.09978 cents 3: 262.9413 .. 384.2364 cents 121.29509 cents 29.25559 cents 4: 319.1366 .. 440.4317 cents 121.29509 cents -65.09978 cents 5: 469.6873 .. 590.9824 cents 121.29509 cents 29.25559 cents 6: 552.8223 .. 647.1777 cents 94.35537 cents -38.16007 cents 7: 609.0176 .. 730.3127 cents 121.29509 cents -38.16007 cents 8: 759.5683 .. 880.8634 cents 121.29509 cents 29.25559 cents 9: 815.7636 .. 937.0587 cents 121.29509 cents -65.09978 cents 10: 966.3143 .. 1087.6094 cents 121.29509 cents 29.25559 cents 11: 1022.5096 .. 1143.8047 cents 121.29509 cents -65.09978 cents
SHOW DATA
Number of notes : 12 -- Interval properties -- Smallest interval : 56.19531 cents, class 1 Average step (divided formal octave): 100.0000 cents Largest one step interval : 177.49040 cents Average / Smallest step : 1.779508 Largest / Average step : 1.774904 Largest / Smallest step : 3.158456 Median interval of one step : 69.66517 cents, amount: 0 Most common interval of one step : 56.19531 cents, amount: 6 Least squares average step : 100.75701 cents, oct.: 1209.08417 cents Scale is not proper Step pattern alph. order: ABACABAABDBA Step pattern size order : ACADACAACBCA Scale is a Constant Structure, by a margin of 18.03524 cents Scale diversity : 1.421282 Lumma stability : 0.191177 Lumma impropriety factor : 0.280599 Rothenberg efficiency : 0.415278 redundancy: 0.584722 Efficiency x scale size : 4.983333 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 : 18.03524 cents Most common intervals : 496.62701 cents & inv., amount: 9 Most common triad is 0.0 496.627 703.373 cents, amount: 6 Number of recognisable fifths : 9, average 703.3730 cents Formal octave complements present : 9 = 75.0000% Limited inverse transpositions : 7 Inversional symmetry on intervals : 3-4 9-10 -- Rational properties --
FIT/MODE
12: 0 2 0 2 1 1 1 0 2 1 1 1 N T3 SD: 37.2641 c. M: 62.9413 c. 13: 1 1 1 2 0 2 1 0 2 1 1 1 N D3 SD: 24.6738 c. M:-36.1124 c. 15: 1 1 1 2 1 2 1 0 2 1 2 1 N D3 SD: 28.3763 c. M: 46.7460 c. 17: 1 2 1 2 1 2 1 1 2 1 2 1 P M ME SD: 11.6310 c. M:-19.4116 c. 22: 1 3 1 3 1 3 1 1 3 1 3 1 N M DE SD: 8.2148 c. M:-17.1537 c. 24: 1 3 1 4 1 3 1 1 3 2 3 1 N SD: 7.3682 c. M: 12.9413 c. 41: 2 5 2 6 2 5 2 2 5 3 5 2 N SD: 1.8808 c. M: 3.2752 c. 87: 4 11 4 13 4 11 4 4 11 6 11 4 N SD: 0.7049 c. M:-1.0982 c. 128: 6 16 6 19 6 16 6 6 16 9 16 6 N SD: 0.3577 c. M: 0.7440 c. 215: 10 27 10 32 10 27 10 10 27 15 27 10 N SD: 0.3533 c. M: 0.6157 c. 278: 13 35 13 41 13 35 13 13 35 19 35 13 N SD: 0.3210 c. M:-0.6724 c. 319: 15 40 15 47 15 40 15 15 40 22 40 15 N SD: 0.2183 c. M:-0.3816 c. 406: 19 51 19 60 19 51 19 19 51 28 51 19 N SD: 0.1076 c. M:-0.2258 c. 447: 21 56 21 66 21 56 21 21 56 31 56 21 N SD: 0.1240 c. M: 0.1978 c. 534: 25 67 25 79 25 67 25 25 67 37 67 25 N SD: 0.0122 c. M: 0.0199 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: 8.5998 cents 4 x x x 5 x x 6 x x 7 x 8 S SD: 14.8482 cents 5 x x 6 x x 7 x 8 x 9 x 10 S SD: 20.4746 cents 6 x x 7 x 8 x 9 x 10:11 x 12 S SD: 10.3162 cents 7 x 8 x 9 x 10 x 11:12 x x 14 S SD: 8.4357 cents 8 x 9 x 10:11 x 12 x x 14:15:16 S SD: 14.0050 cents 9 x 10 x x 12:13 x 14:15:16:17:18 S SD: 7.1093 cents 10 x 11:12:13 x x 15:16:17:18:19:20 SD: 10.7547 cents 11 x 12:13:14:15:16 x 17:19:20:21:22 SD: 9.8303 cents 12 x x 14:15:16:17:18:19:20:21:23:24 SD: 8.8098 cents 13:14 x 15:17 x 19 x 20:22:23:25:26 SD: 8.9302 cents 14:15:16 x 18:19:20:21:22:24:25:27:28 SD: 8.0025 cents 15:16:17 x 19:20:22 x 23:25:27:29:30 SD: 7.7812 cents 16:17:18:19 x 21:23:24:25:27:28:31:32 SD: 6.6774 cents 17:18:19:20:22:23:25 x 26:29:30:33:34 SD: 6.0588 cents 18:19:20:21:23:24:26:27:28:30:32:35:36 SD: 4.6670 cents 19:20:21:22 x 25:28 x 29:32:34:37:38 SD: 6.6552 cents 20:21 x 23:26:27:29:30:31:34:36:39:40 SD: 4.8028 cents 21:22:24 x 27:28:31:32:33:36:37:41:42 SD: 5.7830 cents 22:23:25:26:28:29:32:33:34:37:39:43:44 SD: 4.2578 cents 24:25:27:28:31:32:35:36:37:41:43:46:48 SD: 2.9393 cents 30:31:34:35:39:40:44:45:47:51:53:58:60 SD: 2.6560 cents 31:32:35:36:40:41:45:47:48:52:55:60:62 SD: 2.2155 cents 42:43:47:49:54:56:61:63:65:71:75:81:84 SD: 2.0471 cents 48:50:54:56:62:64:70:72:74:81:85:93:96 SD: 1.7057 cents 54:56:61:63:70:72:78:81:84:91:96:105:108 SD: 1.6852 cents 55:57:62:64:71:73:80:83:85:93:98:106:110 SD: 1.4567 cents 62:64:70:72:80:83:90:93:96:105:110:120:124 SD: 0.9047 cents 93:96:105:108:120:124:135:140:144:157:165:180:186 SD: 0.7421 cents 111:115:125:129:143:148:161:167:172:188:197:215:222 SD: 0.7108 cents 117:121:132:136:151:156:170:176:181:198:208:227:234 SD: 0.6937 cents 120:124:135:140:155:160:174:180:186:203:213:232:240 SD: 0.6299 cents 124:128:140:144:160:165:180:186:192:210:220:240:248 SD: 0.6001 cents 142:147:160:165:183:189:206:213:220:240:252:275:284 SD: 0.5541 cents 152:157:171:177:196:203:221:228:236:257:270:294:304 SD: 0.5237 cents 156:161:176:182:201:208:227:234:242:264:277:302:312 SD: 0.4950 cents 159:164:179:185:205:212:231:239:247:269:282:308:318 SD: 0.4473 cents 172:178:194:200:222:229:250:258:267:291:305:333:344 SD: 0.4309 cents 183:189:206:213:236:244:266:275:284:310:325:354:366 SD: 0.3656 cents 207:214:233:241:267:276:301:311:321:350:367:401:414 SD: 0.3303 cents 214:221:241:249:276:285:311:321:332:362:380:414:428 SD: 0.2245 cents 298:308:336:347:384:397:433:447:462:504:529:577:596 SD: 0.2220 cents 307:317:346:357:396:409:446:461:476:519:545:594:614 SD: 0.2201 cents 331:342:373:385:427:441:481:497:513:560:587:641:662 SD: 0.1946 cents 401:414:452:467:517:534:583:602:622:678:712:776:802 SD: 0.1940 cents 403:416:454:469:520:537:586:605:625:682:715:780:806 SD: 0.1836 cents 421:435:474:490:543:561:612:632:653:712:747:815:842 SD: 0.1538 cents 425:439:479:495:548:566:618:638:659:719:754:823:850 SD: 0.1526 cents 457:472:515:532:589:609:664:686:709:773:811:885:914 SD: 0.1345 cents 487:503:549:567:628:649:708:731:755:824:864:943:974 SD: 0.1291 cents 512:529:577:596:660:682:744:769:794:866:909:991:1024 SD: 0.1255 cents 545:563:614:634:703:726:792:818:845:922:967:1055:1090 SD: 0.1190 cents