Scala analysis: xen18-erlich-injera-10
2L 8s MOS for Injera, L=226.45, s=93.61
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: 413.670 cents 413.670000 4: 507.280 cents 507.280000 5: 600.890 cents 600.890000 6: 694.500 cents 694.500000 7: 788.110 cents 788.110000 8: 1014.560 cents 1014.560000 9: 1108.170 cents 1108.170000 10: 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: 226.4500 cents 226.4500 4: 93.6100 cents 93.6100 5: 93.6100 cents 93.6100 6: 93.6100 cents 93.6100 7: 93.6100 cents 93.6100 8: 226.4500 cents 226.4500 9: 93.6100 cents 93.6100 10: 93.6100 cents 93.6100
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 8 93.61000 cents 1: 2 226.45000 cents 2: 6 187.22000 cents 2: 4 320.06000 cents 3: 4 280.83000 cents 3: 6 413.67000 cents 4: 2 374.44000 cents 4: 8 507.28000 cents 5: 10 600.89000 cents 6: 8 694.50000 cents 6: 2 827.34000 cents 7: 6 788.11000 cents 7: 4 920.95000 cents 8: 4 881.72000 cents 8: 6 1014.56000 cents 9: 2 975.33000 cents 9: 8 1108.17000 cents Highest number of different intervals for one interval class: 2 Average number of different intervals per interval class: 1.88889 = 17/9
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 7 8 9 10 0.0 : 93.6 187.2 413.7 507.3 600.9 694.5 788.1 1014.6 1108.2 1201.8 93.6 : 93.6 320.1 413.7 507.3 600.9 694.5 921.0 1014.6 1108.2 1201.8 187.2 : 226.5 320.1 413.7 507.3 600.9 827.3 921.0 1014.6 1108.2 1201.8 413.7 : 93.6 187.2 280.8 374.4 600.9 694.5 788.1 881.7 975.3 1201.8 507.3 : 93.6 187.2 280.8 507.3 600.9 694.5 788.1 881.7 1108.2 1201.8 600.9 : 93.6 187.2 413.7 507.3 600.9 694.5 788.1 1014.6 1108.2 1201.8 694.5 : 93.6 320.1 413.7 507.3 600.9 694.5 921.0 1014.6 1108.2 1201.8 788.1 : 226.5 320.1 413.7 507.3 600.9 827.3 921.0 1014.6 1108.2 1201.8 1014.6: 93.6 187.2 280.8 374.4 600.9 694.5 788.1 881.7 975.3 1201.8 1108.2: 93.6 187.2 280.8 507.3 600.9 694.5 788.1 881.7 1108.2 1201.8 1201.8
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 93.6100 .. 226.4500 cents 132.84000 cents 93.61000 cents 2: 187.2200 .. 320.0600 cents 132.84000 cents -39.23000 cents 3: 280.8300 .. 413.6700 cents 132.84000 cents -39.23000 cents 4: 374.4400 .. 507.2800 cents 132.84000 cents -39.23000 cents 5: 600.8900 .. 600.8900 cents 1/1, 0.0000 cents 93.61000 cents 6: 694.5000 .. 827.3400 cents 132.84000 cents 93.61000 cents 7: 788.1100 .. 920.9500 cents 132.84000 cents -39.23000 cents 8: 881.7200 .. 1014.5600 cents 132.84000 cents -39.23000 cents 9: 975.3300 .. 1108.1700 cents 132.84000 cents -39.23000 cents
SHOW DATA
Number of notes : 10 -- Interval properties -- Smallest interval : 93.61000 cents, class 1 Average step (divided formal octave): 120.1780 cents Largest one step interval : 226.45000 cents Average / Smallest step : 1.283816 Largest / Average step : 1.884288 Largest / Smallest step : 2.419079 Median interval of one step : 93.61000 cents, amount: 8 Most common interval of one step : 93.61000 cents, amount: 8 Least squares average step : 120.86808 cents, oct.: 1208.68078 cents Scale is not proper Scale has 2 repeating blocks of 5 notes Blocks have Myhill's property chromas: 132.84000 cents and 39.23000 cents, ratio: 3.386184 generators: 1 of 93.61000 cents and 4 of 507.28000 cents ET pair of linear temperament : 26&64 Scale is distributional even Scale is a mode of a 950-tone equal temperament with octave 1201.780 cents degrees: 74 148 327 401 475 549 623 802 876 950 Least number of segments generator : 477 of 603.420 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 549 of 694.502 cents and inv. generated superset size: 480 = 470 more = 4800.000% Number of contiguous 1-step segments: 0 Step pattern alph. order: AABAAAABAA Step pattern size order : SSLSSSSLSS Scale is a Constant Structure, by a margin of 39.23000 cents Scale diversity : 1.198218 Lumma stability : 0.311571 Lumma impropriety factor : 0.195859 Rothenberg efficiency (ambiguous key): 0.513333 redundancy: 0.486667 Efficiency x scale size : 5.133333 Number of different interval sizes : 17 = 1.88889 / class Number of one step interval sizes : 2 Highest interval variety : 2 Mean interval variety : 1.88889 = 17/9 Median interval variety : 2 Lowest interval variety : 1 Smallest interval difference : 39.23000 cents Most common intervals : 600.89000 cents & inv., amount: 10 Number of recognisable fifths : 8, average 694.5000 cents Number of recognisable fourths : 8, average 507.2800 cents Scale contains two identical disjunct pentachords Formal octave complements present : 10 = 100.0000% 2/1 octave complements present : 0 = 0.0000% Limited transpositions : 5 Limited inverse transpositions : 5 Inversional symmetry on degrees : 0 5 Inversional symmetry on intervals : 2-3 7-8 -- Rational properties --
FIT/MODE
10: 0 1 2 1 1 0 1 2 1 1 N B D3 SD: 57.9427 c. M: 93.6100 c. 11: 0 1 2 1 1 1 1 2 1 1 N D3 SD: 57.8207 c. M: 93.6100 c. 12: 1 1 2 1 1 1 1 2 1 1 P B ME I SD: 9.2466 c. M:-13.0767 c. Symmetrical Decatonic 26: 2 2 5 2 2 2 2 5 2 2 N B DE I SD: 1.6481 c. M:-2.3308 c. 64: 5 5 12 5 5 5 5 12 5 5 N B DE I SD: 0.3947 c. M:-0.5581 c. 90: 7 7 17 7 7 7 7 17 7 7 N B DE I SD: 0.1955 c. M:-0.2764 c. 154: 12 12 29 12 12 12 12 29 12 12 N B DE I SD: 0.0498 c. M:-0.0704 c. 244: 19 19 46 19 19 19 19 46 19 19 N B DE I SD: 0.0407 c. M:-0.0575 c. 398: 31 31 75 31 31 31 31 75 31 31 N B DE I SD: 0.0057 c. M:-0.0080 c. 950: 74 74 179 74 74 74 74 179 74 74 N B DE I SD: 0.0033 c. M:-0.0047 c. 1348: 105 105 254 105 105 105 105 254 105 105 N B DE I SD: 0.0007 c. M:-0.0009 c.
FIT/HARMONIC
1 x x x x x x x x x 2 S SD: 1.7800 cents 2 x x x x x 3 x x x 4 S SD: 3.8323 cents 3 x x x 4 x x 5 x x 6 S SD: 32.2357 cents 4 x x 5 x x 6 x 7 x 8 S SD: 13.4599 cents 5 x x 6 x 7 x 8:9 x 10 S SD: 20.6048 cents 6 x 7 x 8 x 9 x 11 x 12 SD: 17.5494 cents 7 x 8:9 x 10 x 11 x 13:14 SD: 10.5813 cents 8 x 9:10:11 x 12:13:14:15:16 S SD: 11.3608 cents 9 x 10:11:12:13 x 14:16:17:18 S SD: 10.2383 cents 10 x 11:13 x 14:15:16:18:19:20 SD: 7.0781 cents 11 x 12:14:15 x 16:17:20:21:22 SD: 9.7383 cents 12:13 x 15:16:17:18:19:22:23:24 SD: 7.4656 cents 13:14 x x 17:18:19:21:23:25:26 SD: 11.8087 cents 14:15:16:18:19:20:21:22:25:27:28 SD: 6.9506 cents 15:16:17:19:20:21:22:24:27:28:30 SD: 6.3698 cents 17:18:19:22:23:24:25:27:31:32:34 SD: 5.5754 cents 18:19:20:23:24:25:27:28:32:34:36 SD: 4.7398 cents 19:20:21:24:25:27:28:30:34:36:38 SD: 4.4664 cents 26:27:29:33:35:37:39:41:47:49:52 SD: 3.5289 cents 29:31:32:37:39:41:43:46:52:55:58 SD: 3.3834 cents 33:35:37:42:44:47:49:52:59:63:66 SD: 2.6898 cents 36:38:40:46:48:51:54:57:65:68:72 SD: 2.1503 cents 50:53:56:63:67:71:75:79:90:95:100 SD: 2.1153 cents 51:54:57:65:68:72:76:80:92:97:102 SD: 1.8982 cents 52:55:58:66:70:74:78:82:93:99:104 SD: 1.8326 cents 53:56:59:67:71:75:79:84:95:101:106 SD: 1.5891 cents 55:58:61:70:74:78:82:87:99:104:110 SD: 1.4872 cents 67:71:75:85:90:95:100:106:120:127:134 SD: 1.4637 cents 68:72:76:86:91:96:102:107:122:129:136 SD: 1.4413 cents 70:74:78:89:94:99:105:110:126:133:140 SD: 1.1398 cents 85:90:95:108:114:120:127:134:153:161:170 SD: 0.9601 cents 89:94:99:113:119:126:133:140:160:169:178 SD: 0.7294 cents 123:130:137:156:165:174:184:194:221:233:246 SD: 0.5289 cents 174:184:194:221:233:246:260:274:313:330:348 SD: 0.5287 cents 182:192:203:231:244:258:272:287:327:345:364 SD: 0.4610 cents 193:204:215:245:259:273:288:304:347:366:386 SD: 0.4383 cents 200:211:223:254:268:283:299:315:359:379:400 SD: 0.4133 cents 229:242:255:291:307:324:342:361:411:434:458 SD: 0.3927 cents 252:266:281:320:338:357:376:397:453:478:505 SD: 0.3904 cents 253:267:282:321:339:358:378:399:455:480:507 SD: 0.3065 cents 255:269:284:324:342:361:381:402:458:484:511 SD: 0.3062 cents 270:285:301:343:362:382:403:426:485:512:541 SD: 0.2640 cents 326:344:363:414:437:461:487:514:586:618:653 SD: 0.2176 cents 340:359:379:432:456:481:508:536:611:645:681 SD: 0.1960 cents 359:379:400:456:481:508:536:566:645:681:719 SD: 0.1321 cents 482:509:537:612:646:682:720:760:866:914:965 SD: 0.1016 cents