Scala analysis: elfkeenanismic12
Keenanismic tempered [12/11, 8/7, 6/5, 5/4, 4/3, 11/8, 3/2, 8/5, 5/3, 7/4, 11/6, 2], 284et tuning
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 152.113 cents 152.112680 2: 232.394 cents 232.394370 3: 316.901 cents 316.901410 4: 384.507 cents 384.507040 5: 498.592 cents 498.591550 6: 549.296 cents 549.295770 7: 701.408 cents 701.408450 8: 815.493 cents 815.492960 9: 883.099 cents 883.098590 10: 967.606 cents 967.605630 11: 1047.887 cents 1047.887320 12: 2/1 1200.000000 octave
SHOW/INTERVAL
0: 152.1127 cents 152.1127 1: 152.1127 cents 152.1127 2: 80.2817 cents 80.2817 3: 84.5070 cents 84.5070 4: 67.6056 cents 67.6056 5: 114.0845 cents 114.0845 6: 50.7042 cents 50.7042 7: 152.1127 cents 152.1127 8: 114.0845 cents 114.0845 9: 67.6056 cents 67.6056 10: 84.5070 cents 84.5070 11: 80.2817 cents 80.2817 12: 152.1127 cents 152.1127
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 50.70422 cents 1: 2 67.60563 cents 1: 2 80.28169 cents 1: 2 84.50704 cents 1: 2 114.08451 cents 1: 3 152.11268 cents 2: 2 152.11267 cents 2: 3 164.78873 cents 2: 2 181.69014 cents 2: 1 202.81690 cents 2: 2 232.39437 cents 2: 1 266.19719 cents 2: 1 304.22536 cents 3: 3 232.39436 cents 3: 2 266.19718 cents 3: 4 316.90141 cents 3: 1 333.80282 cents 3: 2 384.50705 cents 4: 1 316.90140 cents 4: 2 346.47887 cents 4: 4 384.50704 cents 4: 1 418.30986 cents 4: 1 430.98592 cents 4: 1 464.78874 cents 4: 2 469.01409 cents 5: 1 397.18309 cents 5: 2 469.01408 cents 5: 5 498.59155 cents 5: 2 536.61972 cents 5: 2 549.29578 cents 6: 3 549.29577 cents 6: 1 566.19718 cents 6: 2 583.09859 cents 6: 2 616.90141 cents 6: 1 633.80282 cents 6: 3 650.70423 cents 7: 2 650.70422 cents 7: 2 663.38028 cents 7: 5 701.40845 cents 7: 2 730.98592 cents 7: 1 802.81691 cents 8: 2 730.98591 cents 8: 1 735.21126 cents 8: 1 769.01408 cents 8: 1 781.69014 cents 8: 4 815.49296 cents 8: 2 853.52113 cents 8: 1 883.09860 cents 9: 2 815.49295 cents 9: 1 866.19718 cents 9: 4 883.09859 cents 9: 2 933.80282 cents 9: 3 967.60564 cents 10: 1 895.77464 cents 10: 1 933.80281 cents 10: 2 967.60563 cents 10: 1 997.18310 cents 10: 2 1018.30986 cents 10: 3 1035.21127 cents 10: 2 1047.88733 cents 11: 3 1047.88732 cents 11: 2 1085.91549 cents 11: 2 1115.49296 cents 11: 2 1119.71831 cents 11: 2 1132.39437 cents 11: 1 1149.29578 cents Highest number of different intervals for one interval class: 7 Average number of different intervals per interval class: 6.00000 = 6
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 7 8 9 10 11 12 0.0 : 152.1 232.4 316.9 384.5 498.6 549.3 701.4 815.5 883.1 967.6 1047.9 1200.0 152.1 : 80.3 164.8 232.4 346.5 397.2 549.3 663.4 731.0 815.5 895.8 1047.9 1200.0 232.4 : 84.5 152.1 266.2 316.9 469.0 583.1 650.7 735.2 815.5 967.6 1119.7 1200.0 316.9 : 67.6 181.7 232.4 384.5 498.6 566.2 650.7 731.0 883.1 1035.2 1115.5 1200.0 384.5 : 114.1 164.8 316.9 431.0 498.6 583.1 663.4 815.5 967.6 1047.9 1132.4 1200.0 498.6 : 50.7 202.8 316.9 384.5 469.0 549.3 701.4 853.5 933.8 1018.3 1085.9 1200.0 549.3 : 152.1 266.2 333.8 418.3 498.6 650.7 802.8 883.1 967.6 1035.2 1149.3 1200.0 701.4 : 114.1 181.7 266.2 346.5 498.6 650.7 731.0 815.5 883.1 997.2 1047.9 1200.0 815.5 : 67.6 152.1 232.4 384.5 536.6 616.9 701.4 769.0 883.1 933.8 1085.9 1200.0 883.1 : 84.5 164.8 316.9 469.0 549.3 633.8 701.4 815.5 866.2 1018.3 1132.4 1200.0 967.6 : 80.3 232.4 384.5 464.8 549.3 616.9 731.0 781.7 933.8 1047.9 1115.5 1200.0 1047.9: 152.1 304.2 384.5 469.0 536.6 650.7 701.4 853.5 967.6 1035.2 1119.7 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 50.7042 .. 152.1127 cents 101.40846 cents 50.70422 cents 2: 152.1127 .. 304.2254 cents 152.11269 cents -0.00001 cents 3: 232.3944 .. 384.5070 cents 152.11269 cents -71.83100 cents 4: 316.9014 .. 469.0141 cents 152.11269 cents -67.60565 cents 5: 397.1831 .. 549.2958 cents 152.11269 cents -71.83100 cents 6: 549.2958 .. 650.7042 cents 101.40846 cents -0.00001 cents 7: 650.7042 .. 802.8169 cents 152.11269 cents -0.00001 cents 8: 730.9859 .. 883.0986 cents 152.11269 cents -71.83100 cents 9: 815.4930 .. 967.6056 cents 152.11269 cents -67.60565 cents 10: 895.7746 .. 1047.8873 cents 152.11269 cents -71.83100 cents 11: 1047.8873 .. 1149.2958 cents 101.40846 cents -0.00001 cents
SHOW DATA
Number of notes : 12 -- Interval properties -- Smallest interval : 50.70422 cents, class 1 Average step (divided formal octave): 100.0000 cents Largest one step interval : 152.11268 cents Average / Smallest step : 1.972222 Largest / Average step : 1.521127 Largest / Smallest step : 3.000000 Median interval of one step : 84.50704 cents, amount: 2 Most common interval of one step : 152.11268 cents, amount: 3 Least squares average step : 98.27519 cents, oct.: 1179.30227 cents Scale is not proper Scale is a mode of a 284-tone equal temperament with octave 2/1 degrees: 36 55 75 91 118 130 166 193 209 229 248 284 Least number of segments generator : 143 of 604.225 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 173 of 730.986 cents and inv. generated superset size: 94 = 82 more = 783.333% Number of contiguous 1-step segments: 0 Step pattern alph. order: ABCDEFAEDCBA Step pattern size order : FCDBEAFEBDCF Scale is not a Constant Structure Scale diversity : 1.500058 Lumma stability : 0.084507 Lumma impropriety factor : 0.352113 Rothenberg efficiency : 0.294078 redundancy: 0.705922 Efficiency x scale size : 3.528932 Number of different interval sizes : 52 = 4.72727 / class Number of one step interval sizes : 6 Highest interval variety : 7 Mean interval variety : 6.00000 = 6 Median interval variety : 5 Lowest interval variety : 5 Smallest interval difference : 4.22534 cents Most common intervals : 384.50705 cents & inv., amount: 6 Number of recognisable fifths : 5, average 701.4084 cents Formal octave complements present : 11 = 91.6667% -- Rational properties -- Prime limit : 2 (not all pitches rational)
FIT/MODE
12: 1 1 1 1 1 0 2 1 1 0 1 2 N T3 SD: 34.2956 c. M: 67.6056 c. 14: 2 1 1 0 2 0 2 1 1 1 1 2 N SD: 26.9464 c. M: 44.0644 c. 15: 2 1 1 1 1 1 2 1 1 1 1 2 N D3 SD: 11.3477 c. M:-18.5916 c. 22: 3 1 2 1 2 1 3 2 1 2 1 3 N SD: 9.2735 c. M: 14.2126 c. 31: 4 2 2 2 3 1 4 3 2 2 2 4 N SD: 4.3762 c. M: 7.3603 c. 41: 5 3 3 2 4 2 5 4 2 3 3 5 N SD: 4.1277 c. M:-6.8018 c. 46: 6 3 3 3 4 2 6 4 3 3 3 6 N SD: 3.9990 c. M:-6.7973 c. 53: 7 3 4 3 5 2 7 5 3 4 3 7 N SD: 3.9629 c. M: 6.3779 c. 63: 8 4 5 3 6 3 8 6 3 5 4 8 N SD: 3.8955 c. M:-6.9081 c. 68: 9 4 5 4 6 3 9 6 4 5 4 9 N SD: 3.8924 c. M:-6.7108 c. 72: 9 5 5 4 7 3 9 7 4 5 5 9 N SD: 1.2254 c. M: 2.1127 c. 118: 15 8 8 7 11 5 15 11 7 8 8 15 N SD: 1.2241 c. M:-1.9336 c. 125: 16 8 9 7 12 5 16 12 7 9 8 16 N SD: 1.2263 c. M: 2.0958 c. 159: 20 11 11 9 15 7 20 15 9 11 11 20 N SD: 0.9641 c. M:-1.6476 c. 166: 21 11 12 9 16 7 21 16 9 12 11 21 N SD: 0.8702 c. M:-1.3745 c. 181: 23 12 13 10 17 8 23 17 10 13 12 23 N SD: 0.8512 c. M:-1.3540 c. 190: 24 13 13 11 18 8 24 18 11 13 13 24 N SD: 0.8061 c. M: 1.2898 c. 197: 25 13 14 11 19 8 25 19 11 14 13 25 N SD: 0.6895 c. M: 1.0724 c. 212: 27 14 15 12 20 9 27 20 12 15 14 27 N SD: 0.4162 c. M: 0.7175 c. 284: 36 19 20 16 27 12 36 27 16 20 19 36 N SD: 0.0000 c. M:-0.0000 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: 0.2733 cents 3 x x x x 4 x x x 5 x x 6 S SD: 0.4578 cents 4 x x x 5 x x 6 x x 7 x 8 S SD: 0.5619 cents 5 x x 6 x x 7 x 8 x x 9:10 S SD: 9.0016 cents 6 x 7 x x 8 x 9 x 10 x 11:12 S SD: 5.7566 cents 7 x 8 x 9 x 10 x 11 x 12:13:14 S SD: 14.3246 cents 8 x 9 x 10 x 11:12:13 x 14:15:16 S SD: 6.9348 cents 9:10 x 11 x 12 x x 14:15:16 x 18 S SD: 10.3209 cents 10:11 x 12 x 13:14:15:16:17 x 18:20 S SD: 8.1838 cents 11:12 x 13:14 x 15:17 x 18:19:20:22 SD: 8.8147 cents 12:13:14 x 15:16 x 18:19:20:21:22:24 S SD: 4.2172 cents 13:14:15 x 16:17:18:20:21:22:23:24:26 S SD: 7.2374 cents 14:15:16:17 x x 19:21:22:23:24:26:28 SD: 7.2579 cents 15:16:17:18:19:20:21:22:24:25:26:27:30 S SD: 6.5743 cents 16:17:18:19:20:21:22:24:26:27:28:29:32 SD: 6.2771 cents 17 x 19:20:21:23 x 25:27:28:30:31:34 SD: 7.6413 cents 18:20:21:22 x 24:25:27:29:30:31:33:36 SD: 5.9078 cents 19:21:22:23:24:25:26:28:30:32:33:35:38 SD: 5.4102 cents 20:22:23:24:25:27 x 30:32:33:35:37:40 SD: 3.2286 cents 30:33:34:36:37:40:41:45:48:50:52:55:60 SD: 2.8738 cents 33:36:38:40:41:44:45:49:53:55:58:60:66 SD: 2.8718 cents 35:38:40:42:44:47:48:52:56:58:61:64:70 SD: 2.2934 cents 36:39:41:43:45:48:49:54:58:60:63:66:72 SD: 2.1678 cents 40:44:46:48:50:53:55:60:64:67:70:73:80 SD: 1.9377 cents 48:52:55:58:60:64:66:72:77:80:84:88:96 SD: 1.5127 cents 56:61:64:67:70:75:77:84:90:93:98:103:112 SD: 1.2612 cents 64:70:73:77:80:85:88:96:103:107:112:117:128 SD: 1.2609 cents 75:82:86:90:94:100:103:112:120:125:131:137:150 SD: 1.0313 cents 78:85:89:94:97:104:107:117:125:130:136:143:156 SD: 1.0226 cents 84:92:96:101:105:112:115:126:135:140:147:154:168 SD: 0.8711 cents 96:105:110:115:120:128:132:144:154:160:168:176:192 SD: 0.6381 cents 120:131:137:144:150:160:165:180:192:200:210:220:240 SD: 0.4353 cents 174:190:199:209:217:232:239:261:279:290:304:319:348 SD: 0.3299 cents 228:249:261:274:285:304:313:342:365:380:399:418:456 SD: 0.3209 cents 230:251:263:276:287:307:316:345:368:383:402:421:460 SD: 0.2903 cents 249:272:285:299:311:332:342:373:399:415:435:456:498 SD: 0.2859 cents 273:298:312:328:341:364:375:409:437:455:477:500:546 SD: 0.2695 cents 284:310:325:341:355:379:390:426:455:473:497:520:568 SD: 0.2391 cents 294:321:336:353:367:392:404:441:471:490:514:539:588 SD: 0.2284 cents 314:343:359:377:392:419:431:471:503:523:549:575:628 SD: 0.1602 cents 434:474:496:521:542:579:596:651:695:723:759:795:868 SD: 0.1443 cents 458:500:524:550:572:611:629:687:734:763:801:839:916 SD: 0.1284 cents 522:570:597:627:652:696:717:783:836:869:913:956:1044 SD: 0.1120 cents