Scala analysis: mmmgeo1
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: 187.349 cents 187.348940 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: 187.3489 cents 187.3489 2: 149.5115 cents 149.5115 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: 1 128.66924 cents 1: 1 149.51152 cents 1: 2 159.04393 cents 1: 1 187.34894 cents 1: 2 208.19122 cents 2: 1 287.71318 cents 2: 1 308.55545 cents 2: 2 336.86046 cents 2: 2 367.23515 cents 2: 1 395.54015 cents 3: 4 495.90439 cents 3: 1 516.74667 cents 3: 1 545.05167 cents 3: 1 554.58409 cents 4: 1 645.41591 cents 4: 1 654.94833 cents 4: 1 683.25333 cents 4: 4 704.09561 cents 5: 1 804.45985 cents 5: 2 832.76485 cents 5: 2 863.13954 cents 5: 1 891.44455 cents 5: 1 912.28682 cents 6: 2 991.80879 cents 6: 1 1012.65106 cents 6: 2 1040.95607 cents 6: 1 1050.48848 cents 6: 1 1071.33076 cents Highest number of different intervals for one interval class: 5 Average number of different intervals per interval class: 4.66667 = 14/3
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 7 0.0 : 187.3 336.9 495.9 704.1 832.8 991.8 1200.0 187.3 : 149.5 308.6 516.7 645.4 804.5 1012.7 1200.0 336.9 : 159.0 367.2 495.9 654.9 863.1 1050.5 1200.0 495.9 : 208.2 336.9 495.9 704.1 891.4 1041.0 1200.0 704.1 : 128.7 287.7 495.9 683.3 832.8 991.8 1200.0 832.8 : 159.0 367.2 554.6 704.1 863.1 1071.3 1200.0 991.8 : 208.2 395.5 545.1 704.1 912.3 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 79.52198 cents 128.66924 cents 2: 287.7132 .. 395.5402 cents 107.82697 cents 79.52196 cents 3: 495.9044 .. 554.5841 cents 58.67970 cents 100.36424 cents 4: 645.4159 .. 704.0956 cents 58.67970 cents 90.83182 cents 5: 804.4598 .. 912.2868 cents 107.82697 cents 100.36424 cents 6: 991.8088 .. 1071.3308 cents 79.52197 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 : 208.19122 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 Least squares average step : 169.14173 cents, oct.: 1183.99212 cents Scale is strictly proper Step pattern alph. order: ABCDECD Step pattern size order : DBCEACE Scale is a Constant Structure, by a margin of 79.52196 cents Scale diversity : 1.446708 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.589952 Rothenberg efficiency : 0.408163 redundancy: 0.591837 Efficiency x scale size : 2.857143 Number of different interval sizes : 28 = 4.66667 / class Number of one step interval sizes : 5 Highest interval variety : 5 Mean interval variety : 4.66667 = 14/3 Median interval variety : 4 Lowest interval variety : 4 Smallest interval difference : 9.53241 cents Most common intervals : 495.90439 cents & inv., amount: 4 Most common triad is 0.0 495.904 704.096 cents, amount: 2 Number of recognisable fifths : 4, 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: 20.3924 c. M:-36.7626 c. Lebeng 12: 2 1 2 2 1 2 2 P M ME S SD: 19.6139 c. M: 36.8605 c. G.M.Hypodorian, G.M.Aeolian, G.Hyperphrygian, Natural Minor, Melodic Minor descending, Asavari That, Mela Natabhairavi, Raga Jaunpuri, Adana, Darbari, Dhanyasi, Jingla, Gregorian nr.2, Makam Buselik, Nihavend, Peruvian Minor, Se, Chiao: China, Geez, Ezel: Ethiopia, Kiourdi descending: Greece, Cushak: Armenia 13: 2 2 1 3 1 2 2 P D3 I SD: 23.8362 c. M:-34.3659 c. Diatronic 15: 2 2 2 3 1 2 3 P D3 SD: 22.7517 c. M: 32.7649 c. 17: 3 2 2 3 2 2 3 SP D3 I SD: 12.4108 c. M:-24.4158 c. Safi al-Din's maqam Rast 19: 3 2 3 3 2 3 3 SP M ME S SD: 12.5993 c. M: 21.0710 c. Nineteen-tone Natural Minor, Aeolian 22: 3 3 3 4 2 3 4 SP D3 SD: 12.0510 c. M: 23.7126 c. Aeolian Porcupine 24: 4 3 3 4 3 3 4 SP D3 I SD: 10.2148 c. M:-17.2351 c. Miha'il Musaqa's mode: Egypt, Neutral Diatonic Hypodorian, Dastgah-e Sehgah, Maqam Nairuz 25: 4 3 3 5 2 4 4 SP SD: 12.3721 c. M: 16.7649 c. 26: 4 3 4 4 3 3 5 SP SD: 11.8871 c. M: 22.5780 c. 27: 4 4 3 5 3 3 5 SP SD: 11.1665 c. M:-18.6951 c. 29: 5 3 4 5 3 4 5 SP SD: 7.9766 c. M:-19.5476 c. Twenty-nine tone "Just" Minor 34: 5 5 4 6 4 4 6 SP SD: 9.2613 c. M:-16.0807 c. 36: 6 4 5 6 4 5 6 SP SD: 6.2502 c. M:-12.6511 c. 39: 6 5 5 7 4 5 7 SP SD: 3.6181 c. M: 7.1934 c. 46: 7 6 6 8 5 6 8 SP SD: 2.1406 c. M: 4.7402 c. 75: 12 9 10 13 8 10 13 SP SD: 1.8131 c. M:-4.6511 c. 82: 13 10 11 14 9 11 14 SP SD: 1.9578 c. M:-3.3132 c. 97: 15 12 13 17 10 13 17 SP SD: 2.1768 c. M: 3.8989 c. 104: 16 13 14 18 11 14 18 SP SD: 1.5524 c. M: 2.7336 c. 114: 18 14 15 20 12 15 20 SP SD: 1.4193 c. M: 2.3351 c. 121: 19 15 16 21 13 16 21 SP SD: 0.4425 c. M:-1.0808 c. 167: 26 21 22 29 18 22 29 SP SD: 0.4877 c. M:-0.8641 c. 225: 35 28 30 39 24 30 39 SP SD: 0.5135 c. M: 0.8605 c. 288: 45 36 38 50 31 38 50 SP SD: 0.3349 c. M:-0.6395 c. 346: 54 43 46 60 37 46 60 SP SD: 0.2306 c. M: 0.4443 c. 467: 73 58 62 81 50 62 81 SP SD: 0.1532 c. M: 0.2438 c. 513: 80 64 68 89 55 68 89 SP SD: 0.0816 c. M: 0.2144 c. 634: 99 79 84 110 68 84 110 SP SD: 0.0277 c. M:-0.0481 c. 1781: 278 222 236 309 191 236 309 SP SD: 0.0208 c. M: 0.0384 c. 2248: 351 280 298 390 241 298 390 SP SD: 0.0158 c. M: 0.0277 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: 21.5318 cents 8:9:10:11:12:13:14:16 S SD: 11.4139 cents 10:11:12:13:15:16:18:20 SD: 8.7145 cents 15:17:18:20:23:24:27:30 SD: 8.6119 cents 16:18:19:21:24:26:28:32 SD: 7.8853 cents 18:20:22:24:27:29:32:36 SD: 2.0877 cents 42:47:51:56:63:68:74:84 SD: 1.9824 cents 52:58:63:69:78:84:92:104 SD: 1.3583 cents 60:67:73:80:90:97:106:120 SD: 1.2318 cents 70:78:85:93:105:113:124:140 SD: 0.8901 cents 88:98:107:117:132:142:156:176 SD: 0.8515 cents 97:108:118:129:146:157:172:194 SD: 0.7613 cents 130:145:158:173:195:210:231:260 SD: 0.7531 cents 139:155:169:185:209:225:247:278 SD: 0.6715 cents 141:157:171:188:212:228:250:282 SD: 0.6238 cents 157:175:191:209:236:254:278:314 SD: 0.5756 cents 159:177:193:212:239:257:282:318 SD: 0.5290 cents 181:202:220:241:272:293:321:362 SD: 0.4648 cents 191:213:232:254:287:309:339:382 SD: 0.4647 cents 199:222:242:265:299:322:353:398 SD: 0.4111 cents 229:255:278:305:344:370:406:458 SD: 0.3986 cents 238:265:289:317:357:385:422:476 SD: 0.3786 cents 247:275:300:329:371:400:438:494 SD: 0.3412 cents 265:295:322:353:398:429:470:530 SD: 0.3125 cents 299:333:363:398:449:484:530:598 SD: 0.2977 cents 307:342:373:409:461:497:544:614 SD: 0.2956 cents 317:353:385:422:476:513:562:634 SD: 0.2264 cents 335:373:407:446:503:542:594:670 SD: 0.2156 cents 359:400:436:478:539:581:637:718 SD: 0.2017 cents 377:420:458:502:566:610:669:754 SD: 0.1968 cents 401:447:487:534:602:649:711:802 SD: 0.1944 cents 410:457:498:546:616:663:727:820 SD: 0.1649 cents 419:467:509:558:629:678:743:838 SD: 0.1405 cents 437:487:531:582:656:707:775:874 SD: 0.1390 cents 516:575:627:687:775:835:915:1032 SD: 0.1153 cents 578:644:702:770:868:935:1025:1156 SD: 0.1117 cents