Scala analysis: mmmgeo4b
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: 208.191 cents 208.191210 2: 367.235 cents 367.235150 3: 495.904 cents 495.904390 4: 704.096 cents 704.095610 5: 863.140 cents 863.139540 6: 1071.331 cents 1071.330750 7: 2/1 1200.000000 octave
SHOW/INTERVAL
0: 128.6692 cents 128.6692 1: 208.1912 cents 208.1912 2: 159.0439 cents 159.0439 3: 128.6692 cents 128.6692 4: 208.1912 cents 208.1912 5: 159.0439 cents 159.0439 6: 208.1912 cents 208.1912 7: 128.6692 cents 128.6692
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 2 128.66924 cents 1: 2 159.04394 cents 1: 3 208.19121 cents 2: 1 287.71318 cents 2: 3 336.86046 cents 2: 3 367.23515 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 1040.95606 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 : 208.2 367.2 495.9 704.1 863.1 1071.3 1200.0 208.2 : 159.0 287.7 495.9 654.9 863.1 991.8 1200.0 367.2 : 128.7 336.9 495.9 704.1 832.8 1041.0 1200.0 495.9 : 208.2 367.2 575.4 704.1 912.3 1071.3 1200.0 704.1 : 159.0 367.2 495.9 704.1 863.1 991.8 1200.0 863.1 : 208.2 336.9 545.1 704.1 832.8 1041.0 1200.0 1071.3: 128.7 336.9 495.9 624.6 832.8 991.8 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 128.6692 .. 208.1912 cents 79.52197 cents 128.66924 cents 2: 287.7132 .. 367.2351 cents 79.52197 cents 79.52197 cents 3: 495.9044 .. 575.4264 cents 79.52197 cents 128.66924 cents 4: 624.5736 .. 704.0956 cents 79.52197 cents 49.14728 cents 5: 832.7648 .. 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 : 159.04394 cents, amount: 2 Most common interval of one step : 208.19121 cents, amount: 3 Least squares average step : 174.21742 cents, oct.: 1219.52197 cents Scale is strictly proper Scale has trivalence property Scale is a mode of a 1343-tone equal temperament with octave 2/1 degrees: 233 411 555 788 966 1199 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: ABCABAC Step pattern size order : LMSLMLS 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 : 30.37469 cents Most common intervals : 495.90439 cents & inv., amount: 5 Scale is a chain of 3 triads 0.0 367.235 704.096 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: 2 1 1 2 1 2 1 P M ME S SD: 17.6499 c. M:-31.8088 c. Sethares Neutral, Beatles-7, Dichotic-7 17: 3 2 2 3 2 3 2 SP M ME S SD: 9.5506 c. M: 16.0807 c. Beatles-7, Dichotic-7 29: 5 4 3 5 4 5 3 SP T3 SD: 3.4601 c. M:-5.8260 c. Twenty-nine tone "Just" Major 46: 8 6 5 8 6 8 5 SP T3 SD: 1.3482 c. M: 2.2700 c. 75: 13 10 8 13 10 13 8 SP T3 SD: 0.5110 c. M:-0.8605 c. 121: 21 16 13 21 16 21 13 SP T3 SD: 0.1958 c. M: 0.3296 c. 196: 34 26 21 34 26 34 21 SP T3 SD: 0.0747 c. M:-0.1258 c. 317: 55 42 34 55 42 55 34 SP T3 SD: 0.0285 c. M: 0.0481 c. 513: 89 68 55 89 68 89 55 SP T3 SD: 0.0109 c. M:-0.0184 c. 830: 144 110 89 144 110 144 89 SP T3 SD: 0.0042 c. M: 0.0070 c. 1343: 233 178 144 233 178 233 144 SP T3 SD: 0.0016 c. M:-0.0027 c. 2173: 377 288 233 377 288 377 233 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: 7.1090 cents 4 x 5 x 6 x 7:8 S SD: 26.0718 cents 5 x 6:7 x 8:9:10 S SD: 24.8965 cents 6:7 x 8:9:10:11:12 S SD: 11.0369 cents 7:8 x 9:11:12:13:14 SD: 20.5967 cents 8:9:10:11:12:13:15:16 SD: 9.3195 cents 14:16:17:19:21:23:26:28 SD: 7.2686 cents 16:18:20:21:24:26:30:32 SD: 6.0883 cents 21:24:26:28:32:35:39:42 SD: 5.7511 cents 22:25:27:29:33:36:41:44 SD: 4.0441 cents 30:34:37:40:45:49:56:60 SD: 2.7591 cents 39:44:48:52:59:64:72:78 SD: 2.6861 cents 42:47:52:56:63:69:78:84 SD: 2.0729 cents 46:52:57:61:69:76:85:92 SD: 2.0033 cents 48:54:59:64:72:79:89:96 SD: 1.6535 cents 54:61:67:72:81:89:100:108 SD: 1.2784 cents 76:86:94:101:114:125:141:152 SD: 1.0737 cents 84:95:104:112:126:138:156:168 SD: 1.0381 cents 85:96:105:113:128:140:158:170 SD: 0.9339 cents 93:105:115:124:140:153:173:186 SD: 0.8672 cents 102:115:126:136:153:168:189:204 SD: 0.7079 cents 118:133:146:157:177:194:219:236 SD: 0.5767 cents 139:157:172:185:209:229:258:278 SD: 0.5715 cents 148:167:183:197:222:244:275:296 SD: 0.5244 cents 181:204:224:241:272:298:336:362 SD: 0.3394 cents 187:211:231:249:281:308:347:374 SD: 0.3283 cents 229:258:283:305:344:377:425:458 SD: 0.3005 cents 275:310:340:366:413:453:511:550 SD: 0.2982 cents 283:319:350:377:425:466:525:566 SD: 0.2834 cents 305:344:377:406:458:502:566:610 SD: 0.1914 cents 368:415:455:490:553:606:683:736 SD: 0.1881 cents 398:449:492:530:598:655:739:796 SD: 0.1658 cents 461:520:570:614:692:759:856:922 SD: 0.1429 cents 470:530:581:626:706:774:873:940 SD: 0.1359 cents 524:591:648:698:787:863:973:1048 SD: 0.1335 cents 546:616:675:727:820:899:1014:1092 SD: 0.1143 cents 588:663:727:783:883:968:1092:1176 SD: 0.0825 cents