Scala analysis: mmmgeo3a
Peppermint 24 scale for MakeMicroMusic, maybe a bit "Georgian-like"?
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 128.669 cents 128.669250 2: 336.860 cents 336.860460 3: 495.904 cents 495.904390 4: 704.096 cents 704.095610 5: 832.765 cents 832.764850 6: 991.809 cents 991.808790 7: 2/1 1200.000000 octave
SHOW/INTERVAL
0: 208.1912 cents 208.1912 1: 128.6692 cents 128.6692 2: 208.1912 cents 208.1912 3: 159.0439 cents 159.0439 4: 208.1912 cents 208.1912 5: 128.6692 cents 128.6692 6: 159.0439 cents 159.0439 7: 208.1912 cents 208.1912
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 2 128.66925 cents 1: 2 159.04393 cents 1: 3 208.19121 cents 2: 1 287.71318 cents 2: 3 336.86046 cents 2: 3 367.23514 cents 3: 5 495.90439 cents 3: 1 545.05167 cents 3: 1 575.42636 cents 4: 1 624.57364 cents 4: 1 654.94833 cents 4: 5 704.09561 cents 5: 3 832.76485 cents 5: 3 863.13954 cents 5: 1 912.28682 cents 6: 3 991.80879 cents 6: 2 1040.95607 cents 6: 2 1071.33075 cents Highest number of different intervals for one interval class: 3 Average number of different intervals per interval class: 3.00000 = 3
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 7 0.0 : 128.7 336.9 495.9 704.1 832.8 991.8 1200.0 128.7 : 208.2 367.2 575.4 704.1 863.1 1071.3 1200.0 336.9 : 159.0 367.2 495.9 654.9 863.1 991.8 1200.0 495.9 : 208.2 336.9 495.9 704.1 832.8 1041.0 1200.0 704.1 : 128.7 287.7 495.9 624.6 832.8 991.8 1200.0 832.8 : 159.0 367.2 495.9 704.1 863.1 1071.3 1200.0 991.8 : 208.2 336.9 545.1 704.1 912.3 1041.0 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 128.6692 .. 208.1912 cents 79.52196 cents 128.66925 cents 2: 287.7132 .. 367.2351 cents 79.52196 cents 79.52197 cents 3: 495.9044 .. 575.4264 cents 79.52197 cents 128.66925 cents 4: 624.5736 .. 704.0956 cents 79.52197 cents 49.14728 cents 5: 832.7649 .. 912.2868 cents 79.52197 cents 128.66924 cents 6: 991.8088 .. 1071.3308 cents 79.52196 cents 79.52197 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 128.66924 cents, class 1 Average step (divided formal octave): 171.4286 cents Largest one step interval : 208.19121 cents Average / Smallest step : 1.332320 Largest / Average step : 1.214449 Largest / Smallest step : 1.618034 Median interval of one step : 159.04393 cents, amount: 2 Most common interval of one step : 208.19121 cents, amount: 3 Least squares average step : 168.72259 cents, oct.: 1181.05814 cents Scale is strictly proper Scale has trivalence property Scale is a mode of a 1343-tone equal temperament with octave 2/1 degrees: 144 377 555 788 932 1110 1343 Least number of segments generator : 672 of 600.447 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 788 of 704.095 cents and inv. generated superset size: 12 = 5 more = 171.429% Number of contiguous 1-step segments: 0 Step pattern alph. order: ABCBACB Step pattern size order : SLMLSML Scale is a Constant Structure, by a margin of 49.14728 cents Scale diversity : 1.363973 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.602390 Rothenberg efficiency : 0.544218 redundancy: 0.455782 Efficiency x scale size : 3.809524 Number of different interval sizes : 18 = 3.00000 / class Number of one step interval sizes : 3 Highest interval variety : 3 Mean interval variety : 3.00000 = 3 Median interval variety : 3 Lowest interval variety : 3 Smallest interval difference : 30.37468 cents Most common intervals : 495.90439 cents & inv., amount: 5 Scale is a chain of 3 triads 0.0 336.860 704.096 cents Most common triad is 0.0 495.904 704.096 cents, amount: 3 Number of recognisable fifths : 5, average 704.0956 cents Best fifths form a closed circle Best major thirds form a closed circle Best minor thirds form a closed circle Formal octave complements present : 3 = 42.8571% -- Rational properties -- Prime limit : 2 (not all pitches rational)
FIT/MODE
7: 1 1 1 1 1 1 1 SP B ME I SD: 25.3147 c. M:-42.7593 c. Lebeng 10: 1 2 1 2 1 1 2 P M ME S SD: 17.6499 c. M: 31.8088 c. 17: 2 3 2 3 2 2 3 SP M ME S SD: 9.5506 c. M:-16.0807 c. 29: 3 5 4 5 3 4 5 SP T3 SD: 3.4601 c. M: 5.8260 c. 46: 5 8 6 8 5 6 8 SP T3 SD: 1.3482 c. M:-2.2700 c. 75: 8 13 10 13 8 10 13 SP T3 SD: 0.5110 c. M: 0.8605 c. 121: 13 21 16 21 13 16 21 SP T3 SD: 0.1958 c. M:-0.3296 c. 196: 21 34 26 34 21 26 34 SP T3 SD: 0.0747 c. M: 0.1258 c. 317: 34 55 42 55 34 42 55 SP T3 SD: 0.0285 c. M:-0.0481 c. 513: 55 89 68 89 55 68 89 SP T3 SD: 0.0109 c. M: 0.0184 c. 830: 89 144 110 144 89 110 144 SP T3 SD: 0.0042 c. M:-0.0070 c. 1343: 144 233 178 233 144 178 233 SP T3 SD: 0.0016 c. M: 0.0027 c. 2173: 233 377 288 377 233 288 377 SP T3 SD: 0.0006 c. M:-0.0010 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: 1.0703 cents 3 x x 4 x 5 x 6 S SD: 17.2128 cents 4 x 5 x 6 x 7:8 S SD: 13.6437 cents 5 x 6:7 x 8:9:10 S SD: 18.9527 cents 6 x 7:8:9:10:11:12 S SD: 17.3862 cents 7:8 x 9 x 11:12:14 SD: 28.4092 cents 8:9:10:11:12:13:14:16 S SD: 15.4989 cents 9:10:11:12:14:15:16:18 S SD: 13.8377 cents 10:11:12:13:15:16:18:20 SD: 9.6279 cents 12:13:15:16:18:19:21:24 SD: 9.5463 cents 13:14:16:17:20:21:23:26 SD: 8.1605 cents 14:15:17:19:21:23:25:28 SD: 6.4219 cents 18:19:22:24:27:29:32:36 SD: 5.3809 cents 23:25:28:31:35:37:41:46 SD: 5.3217 cents 24:26:29:32:36:39:43:48 SD: 3.4048 cents 28:30:34:37:42:45:50:56 SD: 3.3273 cents 36:39:44:48:54:58:64:72 SD: 2.4210 cents 42:45:51:56:63:68:74:84 SD: 2.1346 cents 52:56:63:69:78:84:92:104 SD: 1.3374 cents 66:71:80:88:99:107:117:132 SD: 0.9375 cents 102:110:124:136:153:165:181:204 SD: 0.5747 cents 154:166:187:205:231:249:273:308 SD: 0.4123 cents 181:195:220:241:272:293:321:362 SD: 0.2653 cents 283:305:344:377:425:458:502:566 SD: 0.2510 cents 335:361:407:446:503:542:594:670 SD: 0.1461 cents 494:532:600:658:742:799:876:988 SD: 0.1065 cents