Scala analysis: xen18-erlich-injera-14
12L 2s MOS for Injera, L=93.61, s=39.23
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 93.610 cents 93.610000 2: 187.220 cents 187.220000 3: 280.830 cents 280.830000 4: 320.060 cents 320.060000 5: 413.670 cents 413.670000 6: 507.280 cents 507.280000 7: 600.890 cents 600.890000 8: 694.500 cents 694.500000 9: 788.110 cents 788.110000 10: 881.720 cents 881.720000 11: 920.950 cents 920.950000 12: 1014.560 cents 1014.560000 13: 1108.170 cents 1108.170000 14: 1201.780 cents 1201.780000
SHOW/INTERVAL
0: 93.6100 cents 93.6100 1: 93.6100 cents 93.6100 2: 93.6100 cents 93.6100 3: 93.6100 cents 93.6100 4: 39.2300 cents 39.2300 5: 93.6100 cents 93.6100 6: 93.6100 cents 93.6100 7: 93.6100 cents 93.6100 8: 93.6100 cents 93.6100 9: 93.6100 cents 93.6100 10: 93.6100 cents 93.6100 11: 39.2300 cents 39.2300 12: 93.6100 cents 93.6100 13: 93.6100 cents 93.6100 14: 93.6100 cents 93.6100
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 2 39.23000 cents 1: 12 93.61000 cents 2: 4 132.84000 cents 2: 10 187.22000 cents 3: 6 226.45000 cents 3: 8 280.83000 cents 4: 8 320.06000 cents 4: 6 374.44000 cents 5: 10 413.67000 cents 5: 4 468.05000 cents 6: 12 507.28000 cents 6: 2 561.66000 cents 7: 14 600.89000 cents 8: 2 640.12000 cents 8: 12 694.50000 cents 9: 4 733.73000 cents 9: 10 788.11000 cents 10: 6 827.34000 cents 10: 8 881.72000 cents 11: 8 920.95000 cents 11: 6 975.33000 cents 12: 10 1014.56000 cents 12: 4 1068.94000 cents 13: 12 1108.17000 cents 13: 2 1162.55000 cents Highest number of different intervals for one interval class: 2 Average number of different intervals per interval class: 1.92308 = 25/13
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 7 8 9 10 11 12 13 14 0.0 : 93.6 187.2 280.8 320.1 413.7 507.3 600.9 694.5 788.1 881.7 921.0 1014.6 1108.2 1201.8 93.6 : 93.6 187.2 226.5 320.1 413.7 507.3 600.9 694.5 788.1 827.3 921.0 1014.6 1108.2 1201.8 187.2 : 93.6 132.8 226.5 320.1 413.7 507.3 600.9 694.5 733.7 827.3 921.0 1014.6 1108.2 1201.8 280.8 : 39.2 132.8 226.5 320.1 413.7 507.3 600.9 640.1 733.7 827.3 921.0 1014.6 1108.2 1201.8 320.1 : 93.6 187.2 280.8 374.4 468.0 561.7 600.9 694.5 788.1 881.7 975.3 1068.9 1162.5 1201.8 413.7 : 93.6 187.2 280.8 374.4 468.0 507.3 600.9 694.5 788.1 881.7 975.3 1068.9 1108.2 1201.8 507.3 : 93.6 187.2 280.8 374.4 413.7 507.3 600.9 694.5 788.1 881.7 975.3 1014.6 1108.2 1201.8 600.9 : 93.6 187.2 280.8 320.1 413.7 507.3 600.9 694.5 788.1 881.7 921.0 1014.6 1108.2 1201.8 694.5 : 93.6 187.2 226.5 320.1 413.7 507.3 600.9 694.5 788.1 827.3 921.0 1014.6 1108.2 1201.8 788.1 : 93.6 132.8 226.5 320.1 413.7 507.3 600.9 694.5 733.7 827.3 921.0 1014.6 1108.2 1201.8 881.7 : 39.2 132.8 226.5 320.1 413.7 507.3 600.9 640.1 733.7 827.3 921.0 1014.6 1108.2 1201.8 921.0 : 93.6 187.2 280.8 374.4 468.1 561.7 600.9 694.5 788.1 881.7 975.3 1068.9 1162.5 1201.8 1014.6: 93.6 187.2 280.8 374.4 468.0 507.3 600.9 694.5 788.1 881.7 975.3 1068.9 1108.2 1201.8 1108.2: 93.6 187.2 280.8 374.4 413.7 507.3 600.9 694.5 788.1 881.7 975.3 1014.6 1108.2 1201.8 1201.8
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 39.2300 .. 93.6100 cents 54.38000 cents 39.23000 cents 2: 132.8400 .. 187.2200 cents 54.38000 cents 39.23000 cents 3: 226.4500 .. 280.8300 cents 54.38000 cents 39.23000 cents 4: 320.0600 .. 374.4400 cents 54.38000 cents 39.23000 cents 5: 413.6700 .. 468.0500 cents 54.38000 cents 39.23000 cents 6: 507.2800 .. 561.6600 cents 54.38000 cents 39.23000 cents 7: 600.8900 .. 600.8900 cents 1/1, 0.0000 cents 39.23000 cents 8: 640.1200 .. 694.5000 cents 54.38000 cents 39.23000 cents 9: 733.7300 .. 788.1100 cents 54.38000 cents 39.23000 cents 10: 827.3400 .. 881.7200 cents 54.38000 cents 39.23000 cents 11: 920.9500 .. 975.3300 cents 54.38000 cents 39.23000 cents 12: 1014.5600 .. 1068.9400 cents 54.38000 cents 39.23000 cents 13: 1108.1700 .. 1162.5500 cents 54.38000 cents 39.23000 cents
SHOW DATA
Number of notes : 14 -- Interval properties -- Smallest interval : 39.23000 cents, class 1 Average step (divided formal octave): 85.8414 cents Largest one step interval : 93.61000 cents Average / Smallest step : 2.188158 Largest / Average step : 1.090499 Largest / Smallest step : 2.386184 Median interval of one step : 93.61000 cents, amount: 12 Most common interval of one step : 93.61000 cents, amount: 12 Least squares average step : 85.62712 cents, oct.: 1198.77972 cents Scale is strictly proper Scale has 2 repeating blocks of 7 notes Blocks have Myhill's property chromas: 54.38000 cents and 15.15000 cents, ratio: 3.589439 generators: 1 of 93.61000 cents and 6 of 507.28000 cents ET pair of linear temperament : 26&64 Scale is distributional even Scale is a mode of a 1348-tone equal temperament with octave 1201.780 cents degrees: 105 210 315 359 464 569 674 779 884 989 1033 1138 1243 1348 Least number of segments generator : 675 of 601.782 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 779 of 694.500 cents and inv. generated superset size: 681 = 667 more = 4864.286% Number of contiguous 1-step segments: 0 Step pattern alph. order: AAABAAAAAABAAA Step pattern size order : LLLSLLLLLLSLLL Scale is a Constant Structure, by a margin of 39.23000 cents Scale diversity : 1.223635 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.457005 Number of different interval sizes : 25 = 1.92308 / class Number of one step interval sizes : 2 Highest interval variety : 2 Mean interval variety : 1.92308 = 25/13 Median interval variety : 2 Lowest interval variety : 1 Smallest interval difference : 39.23000 cents Most common intervals : 600.89000 cents & inv., amount: 14 Number of recognisable fifths : 12, average 694.5000 cents Number of recognisable fourths : 12, average 507.2800 cents Scale contains two identical disjunct heptachords Formal octave complements present : 14 = 100.0000% 2/1 octave complements present : 0 = 0.0000% Limited transpositions : 7 Limited inverse transpositions : 7 Inversional symmetry on degrees : 0 7 Inversional symmetry on intervals : 3-4 10-11 -- Rational properties --
FIT/MODE
14: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 SP B ME I SD: 15.5371 c. M:-23.3057 c. 24: 2 2 2 0 2 2 2 2 2 2 0 2 2 2 P B DE I SD: 13.0767 c. M:-19.6150 c. 26: 2 2 2 1 2 2 2 2 2 2 1 2 2 2 SP B ME I SD: 2.3308 c. M:-3.4962 c. 64: 5 5 5 2 5 5 5 5 5 5 2 5 5 5 SP B DE I SD: 0.5581 c. M:-0.8372 c. 90: 7 7 7 3 7 7 7 7 7 7 3 7 7 7 SP B DE I SD: 0.2764 c. M:-0.4147 c. 154: 12 12 12 5 12 12 12 12 12 12 5 12 12 12 SP B DE I SD: 0.0704 c. M:-0.1056 c. 244: 19 19 19 8 19 19 19 19 19 19 8 19 19 19 SP B DE I SD: 0.0575 c. M:-0.0863 c. 398: 31 31 31 13 31 31 31 31 31 31 13 31 31 31 SP B DE I SD: 0.0080 c. M:-0.0121 c. 950: 74 74 74 31 74 74 74 74 74 74 31 74 74 74 SP B DE I SD: 0.0047 c. M:-0.0070 c. 1348: 105 105 105 44 105 105 105 105 105 105 44 105 105 105 SP B DE I SD: 0.0009 c. M:-0.0014 c.
FIT/HARMONIC
1 x x x x x x x x x x x x x 2 S SD: 1.7800 cents 2 x x x x x x x 3 x x x x x 4 S SD: 3.8323 cents 3 x x x x x 4 x x x 5 x x x 6 S SD: 3.2560 cents 4 x x x x 5 x x 6 x x x 7 x 8 S SD: 13.4599 cents 5 x x x 6 x x 7 x 8 x x 9 x 10 S SD: 6.3994 cents 6 x x 7 x x 8 x 9 x 10 x 11 x 12 S SD: 6.5767 cents 7 x 8 x x 9 x 10 x 11 x 12 x 13:14 S SD: 9.2350 cents 8 x 9 x x 10:11 x 12 x 13 x 14:15:16 S SD: 10.6136 cents 9 x 10 x 11 x 12:13 x 14:15 x 16:17:18 S SD: 6.1593 cents 10 x 11 x 12:13 x 14:15:16 x 17:18:19:20 S SD: 5.6844 cents 11 x 12:13 x 14:15 x 16:17:18:19:20:21:22 S SD: 7.9385 cents 12:13 x 14 x 15:16:17:18:19:20 x 22:23:24 S SD: 6.2433 cents 13:14 x 15:16 x 17:18:19:21 x 22:23:25:26 SD: 9.8232 cents 14:15:16 x 17:18:19:20:21:22:23:24:25:27:28 SD: 5.8247 cents 15:16:17 x 18:19:20:21:22:24:25:26:27:28:30 S SD: 5.4741 cents 16:17:18:19 x 20:21:23:24:25 x 27:29:30:32 SD: 5.6909 cents 17:18:19:20 x 22:23:24:25:27:28:29:31:32:34 SD: 4.5122 cents 18:19:20:21:22:23:24:25:27:28:30:31:32:34:36 SD: 4.2877 cents 19:20:21:22:23:24:25:27:28:30 x 32:34:36:38 SD: 4.3382 cents 20:21:22 x 24:25:27:28:30:32:33:34:36:38:40 SD: 4.0615 cents 21:22:23 x 25:27:28:30:31:33:35:36:38:40:42 SD: 4.2188 cents 22:23:25:26 x 28:29:31:33:35:37 x 40:42:44 SD: 5.0027 cents 23:24:26:27:28:29:31:33:34:36:38:39:41:44:46 SD: 4.1445 cents 24:25:27:28:29:30:32:34:36:38:40:41:43:46:48 SD: 3.5053 cents 26:27:29 x 31:33:35:37:39:41:43:44:47:49:52 SD: 3.1768 cents 27:29:30:32 x 34:36:38:40:43:45:46:49:51:54 SD: 3.7326 cents 29:31:32:34:35:37:39:41:43:46:48:49:52:55:58 SD: 2.7272 cents 33:35:37:39:40:42:44:47:49:52:55:56:59:63:66 SD: 2.2569 cents 34:36:38:40:41:43:46:48:51:54:57:58:61:64:68 SD: 2.2309 cents 36:38:40:42:43:46:48:51:54:57:60:61:65:68:72 SD: 2.1223 cents 38:40:42:45:46:48:51:54:57:60:63:65:68:72:76 SD: 2.0834 cents 41:43:46:48:49:52:55:58:61:65:68:70:74:78:82 SD: 1.9668 cents 44:46:49:52:53:56:59:62:66:69:73:75:79:83:88 SD: 1.8716 cents 50:53:56:59:60:63:67:71:75:79:83:85:90:95:100 SD: 1.6342 cents 51:54:57:60:61:65:68:72:76:80:85:87:92:97:102 SD: 1.5694 cents 53:56:59:62:64:67:71:75:79:84:88:90:95:101:106 SD: 1.4526 cents 59:62:66:69:71:75:79:83:88:93:98:100:106:112:118 SD: 1.4065 cents 67:71:75:79:81:85:90:95:100:106:111:114:120:127:134 SD: 1.3654 cents 68:72:76:80:82:86:91:96:102:107:113:116:122:129:136 SD: 1.1156 cents 73:77:81:86:88:93:98:103:109:115:121:124:131:138:146 SD: 1.1035 cents 79:83:88:93:95:100:106:112:118:125:131:134:142:150:158 SD: 1.1002 cents 85:90:95:100:102:108:114:120:127:134:141:145:153:161:170 SD: 0.8922 cents 89:94:99:105:107:113:119:126:133:140:148:152:160:169:178 SD: 0.7741 cents 103:109:115:121:124:131:138:146:154:162:171:175:185:195:206 SD: 0.7705 cents 104:110:116:122:125:132:139:147:155:164:173:177:187:197:208 SD: 0.6854 cents 108:114:120:127:130:137:145:153:161:170:180:184:194:205:216 SD: 0.6062 cents 123:130:137:145:148:156:165:174:184:194:205:209:221:233:246 SD: 0.5588 cents 142:150:158:167:171:180:190:201:212:224:236:242:255:269:284 SD: 0.5027 cents 148:156:165:174:178:188:198:209:221:233:246:252:266:281:296 SD: 0.4959 cents 158:167:176:186:190:201:212:224:236:249:263:269:284:300:316 SD: 0.4528 cents 164:173:183:193:197:208:220:232:245:259:273:279:295:311:328 SD: 0.4514 cents 181:191:202:213:218:230:243:256:270:285:301:308:325:343:362 SD: 0.4506 cents 182:192:203:214:219:231:244:258:272:287:303:310:327:345:364 SD: 0.3439 cents 251:265:280:295:302:319:336:355:375:396:418:427:451:476:503 SD: 0.3298 cents 255:269:284:300:307:324:342:361:381:402:424:434:458:484:511 SD: 0.2608 cents 289:305:322:340:348:367:387:409:432:456:481:492:519:548:579 SD: 0.2569 cents 290:306:323:341:349:368:389:410:433:457:483:494:521:550:581 SD: 0.2491 cents 306:323:341:360:368:389:410:433:457:482:509:521:550:580:613 SD: 0.2297 cents 330:348:368:388:397:419:442:467:493:520:549:562:593:626:661 SD: 0.2242 cents 340:359:379:400:409:432:456:481:508:536:566:579:611:645:681 SD: 0.1595 cents 359:379:400:422:432:456:481:508:536:566:597:611:645:681:719 SD: 0.1490 cents 482:509:537:567:580:612:646:682:720:760:802:820:866:914:965 SD: 0.1112 cents