Scala analysis: xen18-erlich-injera-06
2L 4s MOS for Injera, L=413.67, 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: 507.280 cents 507.280000 3: 600.890 cents 600.890000 4: 694.500 cents 694.500000 5: 1108.170 cents 1108.170000 6: 1201.780 cents 1201.780000
SHOW/INTERVAL
0: 93.6100 cents 93.6100 1: 93.6100 cents 93.6100 2: 413.6700 cents 413.6700 3: 93.6100 cents 93.6100 4: 93.6100 cents 93.6100 5: 413.6700 cents 413.6700 6: 93.6100 cents 93.6100
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 4 93.61000 cents 1: 2 413.67000 cents 2: 2 187.22000 cents 2: 4 507.28000 cents 3: 6 600.89000 cents 4: 4 694.50000 cents 4: 2 1014.56000 cents 5: 2 788.11000 cents 5: 4 1108.17000 cents Highest number of different intervals for one interval class: 2 Average number of different intervals per interval class: 1.80000 = 9/5
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 0.0 : 93.6 507.3 600.9 694.5 1108.2 1201.8 93.6 : 413.7 507.3 600.9 1014.6 1108.2 1201.8 507.3 : 93.6 187.2 600.9 694.5 788.1 1201.8 600.9 : 93.6 507.3 600.9 694.5 1108.2 1201.8 694.5 : 413.7 507.3 600.9 1014.6 1108.2 1201.8 1108.2: 93.6 187.2 600.9 694.5 788.1 1201.8 1201.8
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 93.6100 .. 413.6700 cents 320.06000 cents 93.61000 cents 2: 187.2200 .. 507.2800 cents 320.06000 cents -226.45000 cents 3: 600.8900 .. 600.8900 cents 1/1, 0.0000 cents 93.61000 cents 4: 694.5000 .. 1014.5600 cents 320.06000 cents 93.61000 cents 5: 788.1100 .. 1108.1700 cents 320.06000 cents -226.45000 cents
SHOW DATA
Number of notes : 6 -- Interval properties -- Smallest interval : 93.61000 cents, class 1 Average step (divided formal octave): 200.2967 cents Largest one step interval : 413.67000 cents Average / Smallest step : 2.139693 Largest / Average step : 2.065286 Largest / Smallest step : 4.419079 Median interval of one step : 93.61000 cents, amount: 4 Most common interval of one step : 93.61000 cents, amount: 4 Least squares average step : 202.64143 cents, oct.: 1215.84857 cents Scale is not proper Scale has 2 repeating blocks of 3 notes Blocks have Myhill's property chromas: 320.06000 cents and 226.45000 cents, ratio: 1.413380 generators: 1 of 93.61000 cents and 2 of 507.28000 cents ET pair of linear temperament : 26&64 Scale is distributional even Scale is a mode of a 398-tone equal temperament with octave 1201.780 cents degrees: 31 168 199 230 367 398 Least number of segments generator : 201 of 606.929 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 367 of 1108.174 cents and inv. generated superset size: 202 = 196 more = 3366.667% Number of contiguous 1-step segments: 0 Step pattern alph. order: ABAABA Step pattern size order : SLSSLS Scale is a Constant Structure, by a margin of 93.61000 cents Scale diversity : 1.184354 Lumma stability : 0.311571 Lumma impropriety factor : 0.376858 Rothenberg efficiency (ambiguous key): 0.544444 redundancy: 0.455556 Efficiency x scale size : 3.266667 Number of different interval sizes : 9 = 1.80000 / class Number of one step interval sizes : 2 Highest interval variety : 2 Mean interval variety : 1.80000 = 9/5 Median interval variety : 2 Lowest interval variety : 1 Smallest interval difference : 93.61000 cents Most common intervals : 600.89000 cents & inv., amount: 6 Number of recognisable fifths : 4, average 694.5000 cents Number of recognisable fourths : 4, average 507.2800 cents Formal octave complements present : 6 = 100.0000% 2/1 octave complements present : 0 = 0.0000% Limited transpositions : 3 Limited inverse transpositions : 3 Inversional symmetry on degrees : 0 3 Inversional symmetry on intervals : 1-2 4-5 -- Rational properties --
FIT/MODE
6: 0 2 1 0 2 1 N B D3 SD: 81.9449 c. M: 106.6867 c. 7: 0 3 0 1 2 1 N SD: 61.0296 c. M: 93.6100 c. 8: 0 3 1 0 3 1 N B D3 SD: 63.1607 c. M: 93.6100 c. 9: 0 3 1 1 3 1 N SD: 66.9786 c. M: 106.6867 c. 10: 1 3 1 1 3 1 N B DE I SD: 21.6927 c. M:-26.5680 c. 12: 1 4 1 1 4 1 N B DE I SD: 5.3385 c. M:-6.5383 c. 26: 2 9 2 2 9 2 N B DE I SD: 0.9515 c. M:-1.1654 c. 64: 5 22 5 5 22 5 N B DE I SD: 0.2279 c. M:-0.2791 c. 90: 7 31 7 7 31 7 N B DE I SD: 0.1129 c. M:-0.1382 c. 154: 12 53 12 12 53 12 N B DE I SD: 0.0287 c. M:-0.0352 c. 244: 19 84 19 19 84 19 N B DE I SD: 0.0235 c. M:-0.0288 c. 398: 31 137 31 31 137 31 N B DE I SD: 0.0033 c. M:-0.0040 c. 950: 74 327 74 74 327 74 N B DE I SD: 0.0019 c. M:-0.0023 c. 1348: 105 464 105 105 464 105 N B DE I SD: 0.0004 c. M:-0.0005 c.
FIT/HARMONIC
1 x x x x x 2 S SD: 1.7800 cents 2 x x x 3 x 4 S SD: 3.8323 cents 3 x 4 x 5 x 6 S SD: 63.3638 cents 4 x 5 x 6 x 8 S SD: 40.4030 cents 5 x x 7 x 9:10 SD: 30.8122 cents 6:7:8 x 9:11:12 SD: 36.6724 cents 7:8:9:10 x 13:14 SD: 32.0903 cents 8:9:11 x 12:15:16 SD: 24.1332 cents 9:10:12:13 x 17:18 SD: 19.2873 cents 10:11:13:14:15:19:20 SD: 15.2012 cents 11:12:15 x 16:21:22 SD: 15.9530 cents 12:13:16:17:18:23:24 SD: 8.3325 cents 14:15:19:20:21:27:28 SD: 7.9813 cents 17:18:23:24:25:32:34 SD: 5.7642 cents 20:21:27:28:30:38:40 SD: 4.2158 cents 32:34:43:45:48:61:64 SD: 3.3130 cents 36:38:48:51:54:68:72 SD: 2.3526 cents 38:40:51:54:57:72:76 SD: 2.0082 cents 53:56:71:75:79:101:106 SD: 1.5478 cents 67:71:90:95:100:127:134 SD: 1.4723 cents 73:77:98:103:109:138:146 SD: 1.3771 cents 77:81:103:109:115:146:154 SD: 1.2065 cents 87:92:117:123:130:165:174 SD: 1.1458 cents 89:94:119:126:133:169:178 SD: 0.9014 cents 106:112:142:150:158:201:212 SD: 0.7362 cents 126:133:169:178:188:239:252 SD: 0.6411 cents 144:152:193:204:215:273:288 SD: 0.4891 cents 164:173:220:232:245:311:328 SD: 0.4242 cents 253:267:339:358:378:480:507 SD: 0.3306 cents 270:285:362:382:403:512:541 SD: 0.3137 cents 306:323:410:433:457:580:613 SD: 0.2897 cents 308:325:413:436:460:584:617 SD: 0.2709 cents 340:359:456:481:508:645:681 SD: 0.2548 cents 359:379:481:508:536:681:719 SD: 0.2079 cents 379:400:508:536:566:719:759 SD: 0.1844 cents 397:419:532:562:593:753:795 SD: 0.1839 cents 417:440:559:590:623:791:835 SD: 0.1534 cents 482:509:646:682:720:914:965 SD: 0.1534 cents 484:511:649:685:723:918:969 SD: 0.1424 cents 523:552:701:740:781:992:1047 SD: 0.0667 cents