Scala analysis: mmmgeo2
Scale for MakeMicroMusic in Peppermint 24, maybe a bit like Georgian tunings
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: 516.747 cents 516.746670 4: 704.096 cents 704.095610 5: 863.140 cents 863.139540 6: 1071.331 cents 1071.330750 7: 1220.842 cents 1220.842280
SHOW/INTERVAL
0: 149.5115 cents 149.5115 1: 208.1912 cents 208.1912 2: 159.0439 cents 159.0439 3: 149.5115 cents 149.5115 4: 187.3489 cents 187.3489 5: 159.0439 cents 159.0439 6: 208.1912 cents 208.1912 7: 149.5115 cents 149.5115
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 2 149.51152 cents 1: 2 159.04394 cents 1: 1 187.34894 cents 1: 2 208.19121 cents 2: 1 308.55546 cents 2: 1 336.86046 cents 2: 1 346.39287 cents 2: 2 357.70274 cents 2: 2 367.23515 cents 3: 2 495.90440 cents 3: 3 516.74667 cents 3: 1 554.58408 cents 3: 1 565.89395 cents 4: 1 654.94833 cents 4: 1 666.25820 cents 4: 3 704.09561 cents 4: 2 724.93788 cents 5: 2 853.60713 cents 5: 2 863.13954 cents 5: 1 874.44941 cents 5: 1 883.98182 cents 5: 1 912.28682 cents 6: 2 1012.65107 cents 6: 1 1033.49334 cents 6: 2 1061.79834 cents 6: 2 1071.33075 cents Highest number of different intervals for one interval class: 5 Average number of different intervals per interval class: 4.33333 = 13/3
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 7 0.0 : 208.2 367.2 516.7 704.1 863.1 1071.3 1220.8 208.2 : 159.0 308.6 495.9 654.9 863.1 1012.7 1220.8 367.2 : 149.5 336.9 495.9 704.1 853.6 1061.8 1220.8 516.7 : 187.3 346.4 554.6 704.1 912.3 1071.3 1220.8 704.1 : 159.0 367.2 516.7 724.9 884.0 1033.5 1220.8 863.1 : 208.2 357.7 565.9 724.9 874.4 1061.8 1220.8 1071.3: 149.5 357.7 516.7 666.3 853.6 1012.7 1220.8 1220.8
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 149.5115 .. 208.1912 cents 58.67969 cents 149.51152 cents 2: 308.5555 .. 367.2351 cents 58.67969 cents 100.36425 cents 3: 495.9044 .. 565.8940 cents 69.98955 cents 128.66925 cents 4: 654.9483 .. 724.9379 cents 69.98955 cents 89.05438 cents 5: 853.6071 .. 912.2868 cents 58.67969 cents 128.66925 cents 6: 1012.6511 .. 1071.3308 cents 58.67968 cents 100.36425 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 149.51152 cents, class 1 Average step (divided formal octave): 174.4060 cents Largest one step interval : 208.19121 cents Average / Smallest step : 1.166506 Largest / Average step : 1.193716 Largest / Smallest step : 1.392476 Median interval of one step : 159.04394 cents, amount: 2 Least squares average step : 175.70616 cents, oct.: 1229.94311 cents Scale is strictly proper Step pattern alph. order: ABCDBAC Step pattern size order : DBACBDA Scale is a Constant Structure, by a margin of 89.05438 cents Scale diversity : 1.288099 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.693083 Rothenberg efficiency : 0.395918 redundancy: 0.604082 Efficiency x scale size : 2.771429 Number of different interval sizes : 26 = 4.33333 / class Number of one step interval sizes : 4 Highest interval variety : 5 Mean interval variety : 4.33333 = 13/3 Median interval variety : 4 Lowest interval variety : 4 Smallest interval difference : 9.53241 cents Most common intervals : 516.74667 cents & inv., amount: 3 Most common triad is 0.0 516.747 704.096 cents, amount: 1 Number of recognisable fifths : 3, average 704.0956 cents Number of recognisable fourths : 2, average 495.9044 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% 2/1 octave complements present : 0 = 0.0000% -- Rational properties --
FIT/MODE
7: 1 1 1 1 1 1 1 SP B ME I SD: 17.9817 c. M: 33.7852 c. Lebeng 16: 3 2 2 2 2 3 2 P D3 S SD: 16.0940 c. M: 23.8105 c. 17: 3 2 2 3 2 3 2 SP M ME S SD: 8.8669 c. M:-14.0469 c. Beatles-7, Dichotic-7 24: 4 3 3 4 3 4 3 SP M ME S SD: 6.4246 c. M: 11.1562 c. Neutral Lydian, Iced Major 40: 7 5 5 6 5 7 5 SP SD: 4.1803 c. M: 8.5499 c. 47: 8 6 6 7 6 8 6 SP SD: 3.8516 c. M: 6.3407 c. 57: 10 7 7 9 7 10 7 SP SD: 3.8091 c. M: 6.4081 c. 59: 10 8 7 9 8 10 7 SP SD: 3.5158 c. M:-5.9346 c. 64: 11 8 8 10 8 11 8 SP SD: 3.0120 c. M: 4.7976 c. 71: 12 9 9 11 9 12 9 SP SD: 3.4173 c. M: 6.1410 c. 76: 13 10 9 12 10 13 9 SP SD: 2.9983 c. M:-4.9381 c. 83: 14 11 10 13 11 14 10 SP SD: 2.4112 c. M:-4.6881 c. 89: 15 12 11 13 12 15 11 SP SD: 2.9142 c. M:-4.5118 c. 90: 15 12 11 14 12 15 11 SP SD: 2.7186 c. M:-5.0150 c. 92: 16 12 11 14 12 16 11 SP SD: 2.6693 c. M:-4.3255 c. 99: 17 13 12 15 13 17 12 SP SD: 1.4464 c. M:-2.7171 c. 106: 18 14 13 16 14 18 13 SP SD: 1.0501 c. M:-1.5354 c. 123: 21 16 15 19 16 21 15 SP SD: 0.4418 c. M:-0.6283 c. 229: 39 30 28 35 30 39 28 SP SD: 0.3897 c. M:-0.6169 c. 293: 50 38 36 45 38 50 36 SP SD: 0.3766 c. M: 0.6332 c. 352: 60 46 43 54 46 60 43 SP SD: 0.2760 c. M:-0.4676 c. 399: 68 52 49 61 52 68 49 SP SD: 0.2739 c. M: 0.4165 c. 416: 71 54 51 64 54 71 51 SP SD: 0.2491 c. M: 0.3955 c. 475: 81 62 58 73 62 81 58 SP SD: 0.2731 c. M:-0.4457 c. 515: 88 67 63 79 67 88 63 SP SD: 0.2107 c. M:-0.4187 c. 522: 89 68 64 80 68 89 64 SP SD: 0.1070 c. M: 0.1703 c. 645: 110 84 79 99 84 110 79 SP SD: 0.0225 c. M: 0.0361 c. 2164: 369 282 265 332 282 369 265 SP SD: 0.0214 c. M:-0.0330 c.
FIT/HARMONIC
1 x x x x x x 2 S SD: 20.8423 cents 2 x x x 3 x x 4 S SD: 10.4760 cents 3 x x 4 x 5 x 6 S SD: 11.7114 cents 4 x 5 x 6 x 7:8 S SD: 26.5874 cents 5 x 6:7 x 8:9:10 S SD: 22.5871 cents 6:7 x 8:9:10:11:12 S SD: 11.9778 cents 7:8:9 x 11:12:13:14 SD: 21.4805 cents 8:9:10:11:12:13:15:16 SD: 7.5791 cents 14:16:17:19:21:23:26:28 SD: 6.5326 cents 20:23:25:27:30:33:37:40 SD: 6.3975 cents 22:25:27:30:33:36:41:45 SD: 4.9991 cents 26:29:32:35:39:43:48:53 SD: 3.8934 cents 32:36:40:43:48:53:59:65 SD: 3.7945 cents 34:38:42:46:51:56:63:69 SD: 2.5831 cents 46:52:57:62:69:76:85:93 SD: 1.7377 cents 54:61:67:73:81:89:100:109 SD: 1.6047 cents 63:71:78:85:95:104:117:128 SD: 1.5842 cents 71:80:88:96:107:117:132:144 SD: 1.4756 cents 72:81:89:97:108:119:134:146 SD: 1.3897 cents 77:87:95:104:116:127:143:156 SD: 1.2518 cents 84:95:104:113:126:138:156:170 SD: 1.1003 cents 110:124:136:148:165:181:204:223 SD: 0.7331 cents 118:133:146:159:177:194:219:239 SD: 0.5573 cents 173:195:214:233:260:285:321:350 SD: 0.4125 cents 195:220:241:263:293:321:362:395 SD: 0.2983 cents 291:328:360:392:437:479:540:589 SD: 0.2965 cents 305:344:377:411:458:502:566:617 SD: 0.2310 cents 368:415:455:496:553:606:683:745 SD: 0.1878 cents 486:548:601:655:730:800:902:984 SD: 0.1530 cents 500:564:618:674:751:823:928:1012 SD: 0.1453 cents 532:600:658:717:799:876:988:1077 SD: 0.1300 cents 546:616:675:736:820:899:1014:1105 SD: 0.1242 cents 572:645:707:771:859:942:1062:1158 SD: 0.1080 cents 580:654:717:782:871:955:1077:1174 SD: 0.1058 cents