Scala analysis: xen18-erlich-superpyth-02
1L 1s MOS for Superpyth, L=708.17, s=489.43
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: 1197.600 cents 1197.600000
SHOW/INTERVAL
0: 708.1700 cents 708.1700 1: 489.4300 cents 489.4300 2: 708.1700 cents 708.1700
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 489.43000 cents 1: 1 708.17000 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 0.0 : 489.4 1197.6 489.4 : 708.2 1197.6 1197.6
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 489.4300 .. 708.1700 cents 218.74000 cents 489.43000 cents
SHOW DATA
Number of notes : 2 -- Interval properties -- Smallest interval : 489.43000 cents, class 1 Average step (divided formal octave): 598.8000 cents Largest one step interval : 708.17000 cents Average / Smallest step : 1.223464 Largest / Average step : 1.182649 Largest / Smallest step : 1.446928 Median interval of one step : 598.80000 cents, amount: 0 Least squares average step : 576.92600 cents, oct.: 1153.85200 cents Scale is strictly proper Scale has Myhill's property chromas: 218.74000 cents and 270.69000 cents, ratio: 1.237497 generator: 1 of 489.43000 cents ET pair of linear temperament : 22&93 Scale is maximally even for L / S <= 2 Scale is distributional even Scale is a mode of a 438-tone equal temperament with octave 1197.600 cents degrees: 179 438 generator: 179 Number of contiguous 1-step segments: 0 Step pattern alph. order: AB Step pattern size order : SL Scale is a Constant Structure, by a margin of 489.43000 cents Scale diversity : 1.451025 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.817351 Rothenberg efficiency : 1.000000 redundancy: 0.000000 Efficiency x scale size : 2.000000 Number of different interval sizes : 2 = 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: 1 Number of recognisable fifths : 1, average 708.1700 cents Number of recognisable fourths : 1, average 489.4300 cents Best fifths form a closed circle Best major thirds form a closed circle Steps are strictly increasing Formal octave complements present : 1 = 50.0000% 2/1 octave complements present : 0 = 0.0000% Limited inverse transpositions : 1 Inversional symmetry on intervals : 0-1 1-2 -- Rational properties --
FIT/MODE
2: 1 1 SP B ME I SD: 77.3363 c. M:-109.3700 c. 3: 1 2 SP M ME SD: 63.8022 c. M: 90.2300 c. 5: 2 3 SP M ME SD: 7.3468 c. M: 10.3900 c. 12: 5 7 SP M DE SD: 6.7670 c. M:-9.5700 c. Honchoshi: Japan 17: 7 10 SP M DE SD: 2.6159 c. M:-3.6994 c. 22: 9 13 SP M DE SD: 0.3516 c. M:-0.4973 c. 71: 29 42 SP M DE SD: 0.1905 c. M: 0.2694 c. 93: 38 55 SP M DE SD: 0.0623 c. M: 0.0881 c. 115: 47 68 SP M DE SD: 0.0169 c. M:-0.0239 c. 323: 132 191 SP M DE SD: 0.0059 c. M: 0.0083 c. 438: 179 259 SP M DE SD: 0.0001 c. M:-0.0001 c.
FIT/HARMONIC
1 x 2 S SD: 2.4000 cents 37:49:74 SD: 1.9690 cents 40:53:80 SD: 1.6412 cents 43:57:86 SD: 1.4097 cents 46:61:92 SD: 1.2680 cents 49:65:98 SD: 1.2060 cents 101:134:202 SD: 1.2001 cents 187:248:373 SD: 1.1664 cents 190:252:379 SD: 1.1119 cents 193:256:385 SD: 1.0624 cents 196:260:391 SD: 1.0182 cents 199:264:397 SD: 0.9791 cents 202:268:403 SD: 0.9453 cents 205:272:409 SD: 0.9169 cents 208:276:415 SD: 0.8937 cents 211:280:421 SD: 0.8757 cents 214:284:427 SD: 0.8628 cents 217:288:433 SD: 0.8547 cents 220:292:439 SD: 0.8513 cents 230:305:459 SD: 0.7972 cents 233:309:465 SD: 0.7461 cents 236:313:471 SD: 0.6987 cents 239:317:477 SD: 0.6551 cents 242:321:483 SD: 0.6158 cents 245:325:489 SD: 0.5809 cents 248:329:495 SD: 0.5510 cents 251:333:501 SD: 0.5262 cents 254:337:507 SD: 0.5070 cents 257:341:513 SD: 0.4935 cents 260:345:519 SD: 0.4856 cents 263:349:525 SD: 0.4834 cents 282:374:563 SD: 0.4567 cents 285:378:569 SD: 0.4125 cents 288:382:575 SD: 0.3711 cents 291:386:581 SD: 0.3329 cents 294:390:587 SD: 0.2987 cents 297:394:593 SD: 0.2693 cents 300:398:599 SD: 0.2459 cents 303:402:605 SD: 0.2299 cents 306:406:611 SD: 0.2222 cents 337:447:673 SD: 0.2167 cents 340:451:679 SD: 0.1757 cents 343:455:685 SD: 0.1356 cents 346:459:691 SD: 0.0968 cents 349:463:697 SD: 0.0601 cents 352:467:703 SD: 0.0312 cents