Scala analysis: xen18-erlich-superpyth-03
2L 1s MOS for Superpyth, L=489.43, s=218.74
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 489.430 cents 489.430000 2: 708.170 cents 708.170000 3: 1197.600 cents 1197.600000
SHOW/INTERVAL
0: 489.4300 cents 489.4300 1: 489.4300 cents 489.4300 2: 218.7400 cents 218.7400 3: 489.4300 cents 489.4300
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 218.74000 cents 1: 2 489.43000 cents 2: 2 708.17000 cents 2: 1 978.86000 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 0.0 : 489.4 708.2 1197.6 489.4 : 218.7 708.2 1197.6 708.2 : 489.4 978.9 1197.6 1197.6
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 218.7400 .. 489.4300 cents 270.69000 cents 218.74000 cents 2: 708.1700 .. 978.8600 cents 270.69000 cents 218.74000 cents
SHOW DATA
Number of notes : 3 -- Interval properties -- Smallest interval : 218.74000 cents, class 1 Average step (divided formal octave): 399.2000 cents Largest one step interval : 489.43000 cents Average / Smallest step : 1.824998 Largest / Average step : 1.226027 Largest / Smallest step : 2.237497 Median interval of one step : 489.43000 cents, amount: 2 Most common interval of one step : 489.43000 cents, amount: 2 Least squares average step : 392.75500 cents, oct.: 1178.26500 cents Scale is strictly proper Scale has Myhill's property chromas: 270.69000 cents and 51.95000 cents, ratio: 5.210587 generators: 1 of 489.43000 cents and 2 of 708.17000 cents ET pair of linear temperament : 22&93 Scale is distributional even Scale is a mode of a 438-tone equal temperament with octave 1197.600 cents degrees: 179 259 438 generators: 179 and 259 Number of contiguous 1-step segments: 0 Step pattern alph. order: ABA Step pattern size order : LSL Scale is a Constant Structure, by a margin of 218.74000 cents Scale diversity : 1.458030 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.547946 Rothenberg efficiency : 0.888889 redundancy: 0.111111 Efficiency x scale size : 2.666667 Number of different interval sizes : 4 = 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 : 218.74000 cents Most common intervals : 489.43000 cents & inv., amount: 2 Number of recognisable fifths : 2, average 708.1700 cents Number of recognisable fourths : 2, average 489.4300 cents Best major thirds form a closed circle Best minor thirds form a closed circle Formal octave complements present : 3 = 100.0000% 2/1 octave complements present : 0 = 0.0000% Inversional symmetry on degrees : 0 Inversional symmetry on intervals : 1-2 -- Rational properties --
FIT/MODE
3: 1 1 1 SP B ME I SD: 73.6725 c. M:-90.2300 c. 5: 2 1 2 SP M ME I SD: 8.4834 c. M:-10.3900 c. 12: 5 2 5 SP M DE I SD: 7.8139 c. M:-9.5700 c. Raga Sarvasri, Warao tritonic: South America 17: 7 3 7 SP M DE I SD: 3.0206 c. M:-3.6994 c. 22: 9 4 9 SP M DE I SD: 0.4060 c. M:-0.4973 c. 71: 29 13 29 SP M DE I SD: 0.2200 c. M:-0.2694 c. 93: 38 17 38 SP M DE I SD: 0.0719 c. M:-0.0881 c. 115: 47 21 47 SP M DE I SD: 0.0195 c. M:-0.0239 c. 323: 132 59 132 SP M DE I SD: 0.0068 c. M:-0.0083 c. 438: 179 80 179 SP M DE I SD: 0.0001 c. M:-0.0001 c.
FIT/HARMONIC
1 x x 2 S SD: 2.4000 cents 2 x 3:4 S SD: 3.3311 cents 28:37:42:56 SD: 3.2000 cents 34:45:51:68 SD: 2.6184 cents 40:53:60:80 SD: 2.3428 cents 46:61:69:92 SD: 2.2375 cents 49:65:74:98 SD: 2.0087 cents 55:73:83:110 SD: 1.6437 cents 61:81:92:122 SD: 1.4295 cents 67:89:101:134 SD: 1.3334 cents 73:97:110:146 SD: 1.3215 cents 77:102:116:154 SD: 1.2671 cents 83:110:125:166 SD: 1.0376 cents 89:118:134:178 SD: 0.8896 cents 95:126:143:190 SD: 0.8202 cents 101:134:152:202 SD: 0.8180 cents 184:244:277:367 SD: 0.8174 cents 190:252:286:379 SD: 0.7430 cents 196:260:295:391 SD: 0.6880 cents 202:268:304:403 SD: 0.6528 cents 208:276:313:415 SD: 0.6369 cents 239:317:360:477 SD: 0.5522 cents 245:325:369:489 SD: 0.4773 cents 251:333:378:501 SD: 0.4156 cents 257:341:387:513 SD: 0.3700 cents 263:349:396:525 SD: 0.3433 cents 269:357:405:537 SD: 0.3369 cents 279:370:420:557 SD: 0.3355 cents 285:378:429:569 SD: 0.2796 cents 291:386:438:581 SD: 0.2403 cents 297:394:447:593 SD: 0.2228 cents 340:451:512:679 SD: 0.2206 cents 346:459:521:691 SD: 0.1613 cents 352:467:530:703 SD: 0.1121 cents 358:475:539:715 SD: 0.0859 cents