Scala analysis: xen18-erlich-father-08
5L 3s MOS for Father, L=156.3, s=134.8
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 156.300 cents 156.300000 2: 291.100 cents 291.100000 3: 447.400 cents 447.400000 4: 582.200 cents 582.200000 5: 738.500 cents 738.500000 6: 894.800 cents 894.800000 7: 1029.600 cents 1029.600000 8: 1185.900 cents 1185.900000
SHOW/INTERVAL
0: 156.3000 cents 156.3000 1: 156.3000 cents 156.3000 2: 134.8000 cents 134.8000 3: 156.3000 cents 156.3000 4: 134.8000 cents 134.8000 5: 156.3000 cents 156.3000 6: 156.3000 cents 156.3000 7: 134.8000 cents 134.8000 8: 156.3000 cents 156.3000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 3 134.80000 cents 1: 5 156.30000 cents 2: 6 291.10000 cents 2: 2 312.60000 cents 3: 1 425.90000 cents 3: 7 447.40000 cents 4: 4 582.20000 cents 4: 4 603.70000 cents 5: 7 738.50000 cents 5: 1 760.00000 cents 6: 2 873.30000 cents 6: 6 894.80000 cents 7: 5 1029.60000 cents 7: 3 1051.10000 cents Highest number of different intervals for one interval class: 2 Average number of different intervals per interval class: 2.00000 = 2
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 7 8 0.0 : 156.3 291.1 447.4 582.2 738.5 894.8 1029.6 1185.9 156.3 : 134.8 291.1 425.9 582.2 738.5 873.3 1029.6 1185.9 291.1 : 156.3 291.1 447.4 603.7 738.5 894.8 1051.1 1185.9 447.4 : 134.8 291.1 447.4 582.2 738.5 894.8 1029.6 1185.9 582.2 : 156.3 312.6 447.4 603.7 760.0 894.8 1051.1 1185.9 738.5 : 156.3 291.1 447.4 603.7 738.5 894.8 1029.6 1185.9 894.8 : 134.8 291.1 447.4 582.2 738.5 873.3 1029.6 1185.9 1029.6: 156.3 312.6 447.4 603.7 738.5 894.8 1051.1 1185.9 1185.9
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 134.8000 .. 156.3000 cents 21.50000 cents 134.80000 cents 2: 291.1000 .. 312.6000 cents 21.50000 cents 134.80000 cents 3: 425.9000 .. 447.4000 cents 21.50000 cents 113.30000 cents 4: 582.2000 .. 603.7000 cents 21.50000 cents 134.80000 cents 5: 738.5000 .. 760.0000 cents 21.50000 cents 134.80000 cents 6: 873.3000 .. 894.8000 cents 21.50000 cents 113.30000 cents 7: 1029.6000 .. 1051.1000 cents 21.50000 cents 134.80000 cents
SHOW DATA
Number of notes : 8 -- Interval properties -- Smallest interval : 134.80000 cents, class 1 Average step (divided formal octave): 148.2375 cents Largest one step interval : 156.30000 cents Average / Smallest step : 1.099685 Largest / Average step : 1.054389 Largest / Smallest step : 1.159496 Median interval of one step : 156.30000 cents, amount: 5 Most common interval of one step : 156.30000 cents, amount: 5 Least squares average step : 147.86863 cents, oct.: 1182.94902 cents Scale is strictly proper Scale has Myhill's property chromas: 21.50000 cents and 113.30000 cents, ratio: 5.269767 generators: 3 of 447.40000 cents and 5 of 738.50000 cents ET pair of linear temperament : 53&167 Scale is maximally even for L / S <= 2 Scale is distributional even Scale is a mode of a 607-tone equal temperament with octave 1185.900 cents degrees: 80 149 229 298 378 458 527 607 generators: 229 and 378 Number of contiguous 1-step segments: 0 Step pattern alph. order: ABABAABA Step pattern size order : LSLSLLSL Scale is a Constant Structure, by a margin of 113.30000 cents Scale diversity : 1.129216 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.873092 Rothenberg efficiency : 0.750000 redundancy: 0.250000 Efficiency x scale size : 6.000000 Number of different interval sizes : 14 = 2.00000 / class Number of one step interval sizes : 2 Highest interval variety : 2 Mean interval variety : 2.00000 = 2 Median interval variety : 2 Lowest interval variety : 2 Smallest interval difference : 21.50000 cents Most common intervals : 447.40000 cents & inv., amount: 7 Scale is a chain of 4 triads 0.0 156.300 738.500 cents Most common triad is 0.0 447.400 738.500 cents, amount: 6 Number of recognisable fifths : 0 Number of recognisable fourths : 0 Scale contains two identical disjunct tetrachords Best fifths form a closed circle Best major thirds form a closed circle Formal octave complements present : 7 = 87.5000% 2/1 octave complements present : 0 = 0.0000% Limited transpositions with margin 21.5000 cents: 1 2 3 4 5 6 7 Limited inverse transpositions : 5 Inversional symmetry on intervals : 2-3 6-7 -- Rational properties --
FIT/MODE
8: 1 1 1 1 1 1 1 1 SP B ME I SD: 6.3027 c. M:-10.7500 c. 29: 4 3 4 3 4 4 3 4 SP M ME SD: 5.6851 c. M: 9.6966 c. Tridec-8 37: 5 4 5 4 5 5 4 5 SP M ME SD: 3.0931 c. M: 5.2757 c. Tridec-8 45: 6 5 6 5 6 6 5 6 SP M ME SD: 1.4228 c. M: 2.4267 c. 53: 7 6 7 6 7 7 6 7 SP M ME SD: 0.2566 c. M: 0.4377 c. 114: 15 13 15 13 15 15 13 15 SP M DE SD: 0.2037 c. M:-0.3474 c. 167: 22 19 22 19 22 22 19 22 SP M DE SD: 0.0576 c. M:-0.0982 c. 220: 29 25 29 25 29 29 25 29 SP M DE SD: 0.0181 c. M: 0.0309 c. 387: 51 44 51 44 51 51 44 51 SP M DE SD: 0.0145 c. M:-0.0248 c. 607: 80 69 80 69 80 80 69 80 SP M DE SD: 0.0027 c. M:-0.0046 c. 1434: 189 163 189 163 189 189 163 189 SP M DE SD: 0.0005 c. M: 0.0008 c. 2041: 269 232 269 232 269 269 232 269 SP M DE SD: 0.0005 c. M:-0.0008 c.
FIT/HARMONIC
1 x x x x x x x 2 S SD: 14.1000 cents 2 x x x x 3 x x 4 S SD: 19.5854 cents 3 x x 4 x x 5 x 6 S SD: 17.8660 cents 4 x x 5 x 6 x 7:8 S SD: 23.6635 cents 5 x 6 x 7:8 x 9:10 S SD: 16.2459 cents 6 x 7:8 x 9:10:11:12 S SD: 12.0022 cents 7 x 8:9:10:11:12:13:14 S SD: 14.5433 cents 8:9 x 10:11:12:13:15:16 SD: 17.4226 cents 9:10:11:12:13:14:15:16:18 S SD: 13.4087 cents 10:11:12:13:14:15:17:18:20 SD: 6.8139 cents 17:19:20:22:24:26:29:31:34 SD: 6.6570 cents 20:22:24:26:28:31:34:36:40 SD: 5.6525 cents 21:23:25:27:29:32:35:38:42 SD: 4.3634 cents 28:31:33:36:39:43:47:51:56 SD: 3.8674 cents 32:35:38:41:45:49:54:58:63 SD: 3.3994 cents 33:36:39:43:46:51:55:60:65 SD: 3.3644 cents 34:37:40:44:48:52:57:62:67 SD: 3.2237 cents 38:42:45:49:53:58:64:69:75 SD: 2.9843 cents 40:44:47:52:56:61:67:73:79 SD: 2.8782 cents 43:47:51:56:60:66:72:78:85 SD: 1.8014 cents 53:58:63:69:74:81:89:96:105 SD: 1.7807 cents 55:60:65:71:77:84:92:100:109 SD: 1.4904 cents 64:70:76:83:90:98:107:116:127 SD: 1.4803 cents 65:71:77:84:91:100:109:118:129 SD: 1.1852 cents 75:82:89:97:105:115:126:136:149 SD: 0.9291 cents 105:115:124:136:147:161:176:190:208 SD: 0.6688 cents 115:126:136:149:161:176:193:208:228 SD: 0.6261 cents 160:175:189:207:224:245:268:290:317 SD: 0.5597 cents 170:186:201:220:238:260:285:308:337 SD: 0.4586 cents 180:197:213:233:252:276:302:326:357 SD: 0.3046 cents 235:257:278:304:329:360:394:426:466 SD: 0.2932 cents 288:315:341:373:403:441:483:522:571 SD: 0.2901 cents 295:323:349:382:413:452:495:535:585 SD: 0.2366 cents 350:383:414:453:490:536:587:634:694 SD: 0.2276 cents 383:419:453:496:536:587:642:694:760 SD: 0.1882 cents 393:430:465:509:550:602:659:712:780 SD: 0.1723 cents 485:531:574:628:679:743:813:879:962 SD: 0.1293 cents 498:545:589:645:697:763:835:903:988 SD: 0.1277 cents