Scala analysis: xen18-erlich-injera-08
2L 6s MOS for Injera, L=320.06, 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: 507.280 cents 507.280000 4: 600.890 cents 600.890000 5: 694.500 cents 694.500000 6: 788.110 cents 788.110000 7: 1108.170 cents 1108.170000 8: 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: 320.0600 cents 320.0600 4: 93.6100 cents 93.6100 5: 93.6100 cents 93.6100 6: 93.6100 cents 93.6100 7: 320.0600 cents 320.0600 8: 93.6100 cents 93.6100
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 6 93.61000 cents 1: 2 320.06000 cents 2: 4 187.22000 cents 2: 4 413.67000 cents 3: 2 280.83000 cents 3: 6 507.28000 cents 4: 8 600.89000 cents 5: 6 694.50000 cents 5: 2 920.95000 cents 6: 4 788.11000 cents 6: 4 1014.56000 cents 7: 2 881.72000 cents 7: 6 1108.17000 cents Highest number of different intervals for one interval class: 2 Average number of different intervals per interval class: 1.85714 = 13/7
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 7 8 0.0 : 93.6 187.2 507.3 600.9 694.5 788.1 1108.2 1201.8 93.6 : 93.6 413.7 507.3 600.9 694.5 1014.6 1108.2 1201.8 187.2 : 320.1 413.7 507.3 600.9 921.0 1014.6 1108.2 1201.8 507.3 : 93.6 187.2 280.8 600.9 694.5 788.1 881.7 1201.8 600.9 : 93.6 187.2 507.3 600.9 694.5 788.1 1108.2 1201.8 694.5 : 93.6 413.7 507.3 600.9 694.5 1014.6 1108.2 1201.8 788.1 : 320.1 413.7 507.3 600.9 921.0 1014.6 1108.2 1201.8 1108.2: 93.6 187.2 280.8 600.9 694.5 788.1 881.7 1201.8 1201.8
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 93.6100 .. 320.0600 cents 226.45000 cents 93.61000 cents 2: 187.2200 .. 413.6700 cents 226.45000 cents -132.84000 cents 3: 280.8300 .. 507.2800 cents 226.45000 cents -132.84000 cents 4: 600.8900 .. 600.8900 cents 1/1, 0.0000 cents 93.61000 cents 5: 694.5000 .. 920.9500 cents 226.45000 cents 93.61000 cents 6: 788.1100 .. 1014.5600 cents 226.45000 cents -132.84000 cents 7: 881.7200 .. 1108.1700 cents 226.45000 cents -132.84000 cents
SHOW DATA
Number of notes : 8 -- Interval properties -- Smallest interval : 93.61000 cents, class 1 Average step (divided formal octave): 150.2225 cents Largest one step interval : 320.06000 cents Average / Smallest step : 1.604770 Largest / Average step : 2.130573 Largest / Smallest step : 3.419079 Median interval of one step : 93.61000 cents, amount: 6 Most common interval of one step : 93.61000 cents, amount: 6 Least squares average step : 146.89235 cents, oct.: 1175.13882 cents Scale is not proper Scale has 2 repeating blocks of 4 notes Blocks have Myhill's property chromas: 226.45000 cents and 132.84000 cents, ratio: 1.704682 generators: 1 of 93.61000 cents and 3 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: 74 148 401 475 549 623 876 950 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: 479 = 471 more = 5987.500% Number of contiguous 1-step segments: 0 Step pattern alph. order: AABAAABA Step pattern size order : SSLSSSLS Scale is a Constant Structure, by a margin of 39.23000 cents Scale diversity : 1.244554 Lumma stability : 0.311571 Lumma impropriety factor : 0.376858 Rothenberg efficiency (ambiguous key): 0.525000 redundancy: 0.475000 Efficiency x scale size : 4.200000 Number of different interval sizes : 13 = 1.85714 / class Number of one step interval sizes : 2 Highest interval variety : 2 Mean interval variety : 1.85714 = 13/7 Median interval variety : 2 Lowest interval variety : 1 Smallest interval difference : 39.23000 cents Most common intervals : 600.89000 cents & inv., amount: 8 Number of recognisable fifths : 6, average 694.5000 cents Number of recognisable fourths : 6, average 507.2800 cents Scale contains two identical disjunct tetrachords Formal octave complements present : 6 = 75.0000% 2/1 octave complements present : 0 = 0.0000% Limited transpositions : 4 Limited inverse transpositions : 1 5 Inversional symmetry on intervals : 0-1 2-3 4-5 6-7 -- Rational properties --
FIT/MODE
8: 0 1 2 1 0 1 2 1 N B D3 SD: 57.7421 c. M: 93.6100 c. 9: 1 0 3 1 0 1 2 1 N SD: 38.9547 c. M:-66.7656 c. 10: 1 1 2 1 1 1 2 1 P B ME SD: 32.5390 c. M:-53.1360 c. Supersharp-8 12: 1 1 3 1 1 1 3 1 N B DE SD: 8.0078 c. M:-13.0767 c. Tcherepnin Octatonic mode 2 26: 2 2 7 2 2 2 7 2 N B DE SD: 1.4273 c. M: 2.3308 c. 64: 5 5 17 5 5 5 17 5 N B DE SD: 0.3418 c. M:-0.5581 c. 90: 7 7 24 7 7 7 24 7 N B DE SD: 0.1693 c. M: 0.2764 c. 154: 12 12 41 12 12 12 41 12 N B DE SD: 0.0431 c. M:-0.0704 c. 244: 19 19 65 19 19 19 65 19 N B DE SD: 0.0352 c. M: 0.0575 c. 398: 31 31 106 31 31 31 106 31 N B DE SD: 0.0049 c. M: 0.0080 c. 950: 74 74 253 74 74 74 253 74 N B DE SD: 0.0029 c. M:-0.0047 c. 1348: 105 105 359 105 105 105 359 105 N B DE SD: 0.0006 c. M:-0.0009 c.
FIT/HARMONIC
1 x x x x x x x 2 S SD: 1.7800 cents 2 x x x x 3 x x 4 S SD: 3.8323 cents 3 x x 4 x x 5 x 6 S SD: 32.2357 cents 4 x x 5 x 6 x x 8 S SD: 40.4030 cents 5 x 6 x 7 x 8:9:10 S SD: 32.0566 cents 6 x 7:8 x 9 x 11:12 SD: 19.9465 cents 7 x 8:9:10 x 11:13:14 SD: 15.6208 cents 8 x 9:11 x 12:13:15:16 SD: 12.2705 cents 9 x 10:12:13 x 14:17:18 SD: 7.4103 cents 10 x 11:13:14:15:16:19:20 SD: 9.4430 cents 11 x 12:15 x 16:17:21:22 SD: 12.5133 cents 12:13 x 16:17:18:19:23:24 SD: 7.2210 cents 13:14 x 17:18:19:21:25:26 SD: 12.9407 cents 14:15:16:19:20:21:22:27:28 SD: 8.1555 cents 15:16:17:20:21:22:24:28:30 SD: 7.9339 cents 16:17:18:21:23:24:25:30:32 SD: 7.0532 cents 17:18:19:23:24:25:27:32:34 SD: 4.6577 cents 24:25:27:32:34:36:38:46:48 SD: 4.5724 cents 26:27:29:35:37:39:41:49:52 SD: 4.2129 cents 29:31:32:39:41:43:46:55:58 SD: 4.0815 cents 32:34:36:43:45:48:50:61:64 SD: 3.7778 cents 33:35:37:44:47:49:52:63:66 SD: 3.1468 cents 35:37:39:47:50:52:55:66:70 SD: 2.8236 cents 36:38:40:48:51:54:57:68:72 SD: 2.0838 cents 50:53:56:67:71:75:79:95:100 SD: 1.9934 cents 53:56:59:71:75:79:84:101:106 SD: 1.6426 cents 68:72:76:91:96:102:107:129:136 SD: 1.5324 cents 70:74:78:94:99:105:110:133:140 SD: 1.3486 cents 71:75:79:95:100:106:112:135:142 SD: 1.2738 cents 77:81:86:103:109:115:121:146:154 SD: 1.2576 cents 85:90:95:114:120:127:134:161:170 SD: 1.1326 cents 87:92:97:117:123:130:137:165:174 SD: 0.9065 cents 89:94:99:119:126:133:140:169:178 SD: 0.9042 cents 106:112:118:142:150:158:167:201:212 SD: 0.6032 cents 123:130:137:165:174:184:194:233:246 SD: 0.6008 cents 164:173:183:220:232:245:259:311:328 SD: 0.5864 cents 176:186:196:236:249:263:277:334:352 SD: 0.5435 cents 193:204:215:259:273:288:304:366:386 SD: 0.5258 cents 200:211:223:268:283:299:315:379:400 SD: 0.4660 cents 217:229:242:291:307:324:342:412:434 SD: 0.3963 cents 253:267:282:339:358:378:399:480:507 SD: 0.2712 cents 326:344:363:437:461:487:514:618:653 SD: 0.2586 cents 340:359:379:456:481:508:536:645:681 SD: 0.2145 cents 359:379:400:481:508:536:566:681:719 SD: 0.1562 cents 446:471:497:598:631:666:703:846:893 SD: 0.1370 cents 482:509:537:646:682:720:760:914:965 SD: 0.1207 cents 543:573:605:728:768:811:856:1030:1087 SD: 0.1206 cents