Scala analysis: elfkeenanismic7
Keenanismic tempered [8/7, 5/4, 4/3, 3/2, 8/5, 7/4, 2] = cross_7, 284et tuning
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 232.394 cents 232.394370 2: 384.507 cents 384.507040 3: 498.592 cents 498.591550 4: 701.408 cents 701.408450 5: 815.493 cents 815.492960 6: 967.606 cents 967.605630 7: 2/1 1200.000000 octave
SHOW/INTERVAL
0: 232.3944 cents 232.3944 1: 232.3944 cents 232.3944 2: 152.1127 cents 152.1127 3: 114.0845 cents 114.0845 4: 202.8169 cents 202.8169 5: 114.0845 cents 114.0845 6: 152.1127 cents 152.1127 7: 232.3944 cents 232.3944
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 2 114.08451 cents 1: 2 152.11267 cents 1: 1 202.81690 cents 1: 2 232.39437 cents 2: 2 266.19718 cents 2: 2 316.90141 cents 2: 2 384.50704 cents 2: 1 464.78874 cents 3: 1 430.98592 cents 3: 2 469.01408 cents 3: 2 498.59155 cents 3: 2 616.90141 cents 4: 2 583.09859 cents 4: 2 701.40845 cents 4: 2 730.98592 cents 4: 1 769.01408 cents 5: 1 735.21126 cents 5: 2 815.49296 cents 5: 2 883.09859 cents 5: 2 933.80282 cents 6: 2 967.60563 cents 6: 1 997.18310 cents 6: 2 1047.88733 cents 6: 2 1085.91549 cents Highest number of different intervals for one interval class: 4 Average number of different intervals per interval class: 4.00000 = 4
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 7 0.0 : 232.4 384.5 498.6 701.4 815.5 967.6 1200.0 232.4 : 152.1 266.2 469.0 583.1 735.2 967.6 1200.0 384.5 : 114.1 316.9 431.0 583.1 815.5 1047.9 1200.0 498.6 : 202.8 316.9 469.0 701.4 933.8 1085.9 1200.0 701.4 : 114.1 266.2 498.6 731.0 883.1 997.2 1200.0 815.5 : 152.1 384.5 616.9 769.0 883.1 1085.9 1200.0 967.6 : 232.4 464.8 616.9 731.0 933.8 1047.9 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 114.0845 .. 232.3944 cents 118.30986 cents 114.08451 cents 2: 266.1972 .. 464.7887 cents 198.59156 cents 33.80281 cents 3: 430.9859 .. 616.9014 cents 185.91549 cents -33.80282 cents 4: 583.0986 .. 769.0141 cents 185.91549 cents -33.80282 cents 5: 735.2113 .. 933.8028 cents 198.59156 cents -33.80282 cents 6: 967.6056 .. 1085.9155 cents 118.30986 cents 33.80281 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 114.08451 cents, class 1 Average step (divided formal octave): 171.4286 cents Largest one step interval : 232.39437 cents Average / Smallest step : 1.502645 Largest / Average step : 1.355634 Largest / Smallest step : 2.037037 Median interval of one step : 152.11267 cents, amount: 2 Least squares average step : 168.47082 cents, oct.: 1179.29577 cents Scale is not proper Scale is a mode of a 284-tone equal temperament with octave 2/1 degrees: 55 91 118 166 193 229 284 Least number of segments generator : 143 of 604.225 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 229 of 967.606 cents and inv. generated superset size: 69 = 62 more = 985.714% Number of contiguous 1-step segments: 0 Step pattern alph. order: ABCDCBA Step pattern size order : DBACABD Scale is a Constant Structure, by a margin of 4.22534 cents Scale diversity : 1.510372 Lumma stability : 0.246479 Lumma impropriety factor : 0.084507 Rothenberg efficiency : 0.408163 redundancy: 0.591837 Efficiency x scale size : 2.857143 Number of different interval sizes : 24 = 4.00000 / class Number of one step interval sizes : 4 Highest interval variety : 4 Mean interval variety : 4.00000 = 4 Median interval variety : 4 Lowest interval variety : 4 Smallest interval difference : 4.22534 cents Number of recognisable fifths : 2, average 701.4084 cents Formal octave complements present : 7 = 100.0000% Inversional symmetry on degrees : 0 Inversional symmetry on intervals : 3-4 -- Rational properties -- Prime limit : 2 (not all pitches rational)
FIT/MODE
7: 1 1 1 1 1 1 1 SP B ME I SD: 40.3479 c. M: 60.9658 c. Lebeng 9: 2 1 1 1 1 1 2 N D3 I SD: 27.3685 c. M:-34.7418 c. 10: 2 1 1 2 1 1 2 P D3 I SD: 16.9376 c. M:-24.5070 c. 15: 3 2 1 3 1 2 3 N I SD: 13.5596 c. M:-18.5916 c. Equal temperaments 3 and 5 mixed 19: 4 2 2 3 2 2 4 N I SD: 11.7712 c. M: 20.2372 c. 21: 4 3 2 3 2 3 4 N I SD: 11.9637 c. M:-15.6942 c. 22: 4 3 2 4 2 3 4 P I SD: 8.7545 c. M: 14.2126 c. 31: 6 4 3 5 3 4 6 N I SD: 2.8386 c. M:-4.6343 c. 41: 8 5 4 7 4 5 8 N I SD: 2.4075 c. M:-4.0192 c. 63: 12 8 6 11 6 8 12 N I SD: 3.3165 c. M: 3.8229 c. 72: 14 9 7 12 7 9 14 N I SD: 1.1010 c. M:-1.4085 c. 159: 31 20 15 27 15 20 31 N I SD: 0.9017 c. M:-1.5679 c. 166: 32 21 16 28 16 21 32 N I SD: 0.9371 c. M:-1.3745 c. 171: 33 22 16 29 16 22 33 N I SD: 0.9118 c. M:-1.4579 c. 181: 35 23 17 31 17 23 35 N I SD: 0.7476 c. M:-1.3540 c. 190: 37 24 18 32 18 24 37 N I SD: 0.8215 c. M: 1.2898 c. 197: 38 25 19 33 19 25 38 N I SD: 0.7974 c. M: 0.9223 c. 212: 41 27 20 36 20 27 41 N I SD: 0.3739 c. M:-0.4783 c. 253: 49 32 24 43 24 32 49 N I SD: 0.3478 c. M:-0.5678 c. 284: 55 36 27 48 27 36 55 N I SD: 0.0000 c. M: 0.0000 c.
FIT/HARMONIC
1 x x x x x x 2 S SD: 0.0000 cents 2 x x x 3 x x 4 S SD: 0.2733 cents 3 x x 4 x 5 x 6 S SD: 22.9560 cents 4 x 5 x 6 x 7:8 S SD: 0.5619 cents 5 x 6:7 x 8:9:10 S SD: 23.9061 cents 6:7 x 8:9:10:11:12 S SD: 18.7201 cents 7:8:9 x x 11:12:14 SD: 13.9100 cents 8:9:10:11:12:13:14:16 S SD: 9.2838 cents 9:10:11:12 x 14:16:18 S SD: 14.1864 cents 12:14:15:16:18:19:21:24 SD: 5.6989 cents 20:23:25:27:30:32:35:40 SD: 3.3171 cents 28:32:35:37:42:45:49:56 SD: 2.4734 cents 36:41:45:48:54:58:63:72 SD: 1.8144 cents 48:55:60:64:72:77:84:96 SD: 0.6909 cents 120:137:150:160:180:192:210:240 SD: 0.6021 cents 132:151:165:176:198:211:231:264 SD: 0.5960 cents 140:160:175:187:210:224:245:280 SD: 0.5762 cents 168:192:210:224:252:269:294:336 SD: 0.3809 cents 216:247:270:288:324:346:378:432 SD: 0.3331 cents 258:295:322:344:387:413:451:516 SD: 0.2450 cents 294:336:367:392:441:471:514:588 SD: 0.2375 cents 306:350:382:408:459:490:535:612 SD: 0.1536 cents 354:405:442:472:531:567:619:708 SD: 0.1448 cents 494:565:617:659:741:791:864:988 SD: 0.1333 cents