Scala analysis: xen18-erlich-cynder-03
1L 2s MOS for Cynder, L=736.66, s=232.52
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 232.520 cents 232.520000 2: 969.180 cents 969.180000 3: 1201.700 cents 1201.700000
SHOW/INTERVAL
0: 232.5200 cents 232.5200 1: 232.5200 cents 232.5200 2: 736.6600 cents 736.6600 3: 232.5200 cents 232.5200
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 2 232.52000 cents 1: 1 736.66000 cents 2: 1 465.04000 cents 2: 2 969.18000 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 : 232.5 969.2 1201.7 232.5 : 736.7 969.2 1201.7 969.2 : 232.5 465.0 1201.7 1201.7
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 232.5200 .. 736.6600 cents 504.14000 cents 232.52000 cents 2: 465.0400 .. 969.1800 cents 504.14000 cents -271.62000 cents
SHOW DATA
Number of notes : 3 -- Interval properties -- Smallest interval : 232.52000 cents, class 1 Average step (divided formal octave): 400.5667 cents Largest one step interval : 736.66000 cents Average / Smallest step : 1.722719 Largest / Average step : 1.839045 Largest / Smallest step : 3.168158 Median interval of one step : 232.52000 cents, amount: 2 Most common interval of one step : 232.52000 cents, amount: 2 Least squares average step : 412.57000 cents, oct.: 1237.71000 cents Scale is not proper Scale has Myhill's property chromas: 504.14000 cents and 271.62000 cents, ratio: 1.856049 generators: 1 of 232.52000 cents and 2 of 969.18000 cents ET pair of linear temperament : 26&31 Scale is distributional even Scale is a mode of a 553-tone equal temperament with octave 1201.700 cents degrees: 107 446 553 generators: 107 and 446 Number of contiguous 1-step segments: 0 Step pattern alph. order: ABA Step pattern size order : SLS Scale is a Constant Structure, by a margin of 232.52000 cents Scale diversity : 1.458637 Lumma stability : 0.386985 Lumma impropriety factor : 0.226030 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 : 232.52000 cents Most common intervals : 232.52000 cents & inv., amount: 2 Number of recognisable fifths : 0 Number of recognisable fourths : 0 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: 137.2095 c. M: 168.0467 c. 4: 1 2 1 P M ME I SD: 55.4442 c. M: 67.9050 c. 5: 1 3 1 N M DE I SD: 6.3850 c. M: 7.8200 c. 16: 3 10 3 N M DE I SD: 5.8798 c. M: 7.2013 c. 21: 4 13 4 N M DE I SD: 2.9596 c. M: 3.6248 c. 26: 5 16 5 N M DE I SD: 1.1626 c. M: 1.4238 c. 31: 6 19 6 N M DE I SD: 0.0548 c. M: 0.0671 c. 305: 59 187 59 N M DE I SD: 0.0490 c. M: 0.0600 c. 336: 65 206 65 N M DE I SD: 0.0394 c. M: 0.0483 c. 367: 71 225 71 N M DE I SD: 0.0315 c. M: 0.0385 c. 398: 77 244 77 N M DE I SD: 0.0247 c. M: 0.0303 c. 429: 83 263 83 N M DE I SD: 0.0190 c. M: 0.0233 c. 460: 89 282 89 N M DE I SD: 0.0140 c. M: 0.0172 c. 491: 95 301 95 N M DE I SD: 0.0097 c. M: 0.0119 c. 522: 101 320 101 N M DE I SD: 0.0058 c. M: 0.0072 c. 553: 107 339 107 N M DE I SD: 0.0025 c. M: 0.0030 c. 584: 113 358 113 N M DE I SD: 0.0006 c. M: 0.0007 c. 1721: 333 1055 333 N M DE I SD: 0.0004 c. M: 0.0005 c. 2305: 446 1413 446 N M DE I SD: 0.0001 c. M: 0.0002 c.
FIT/HARMONIC
1 x x 2 S SD: 1.7000 cents 2 x x 4 S SD: 1.7000 cents 28:32:49:56 SD: 0.7323 cents 104:119:182:208 SD: 0.6284 cents 132:151:231:264 SD: 0.5870 cents 160:183:280:320 SD: 0.5788 cents 264:302:462:529 SD: 0.5471 cents 272:311:476:545 SD: 0.5393 cents 285:326:499:571 SD: 0.4801 cents 292:334:511:585 SD: 0.4392 cents 313:358:548:627 SD: 0.3833 cents 320:366:560:641 SD: 0.3545 cents 341:390:597:683 SD: 0.3061 cents 348:398:609:697 SD: 0.2893 cents 368:421:644:737 SD: 0.2834 cents 369:422:646:739 SD: 0.2461 cents 376:430:658:753 SD: 0.2414 cents 389:445:681:779 SD: 0.2255 cents 396:453:693:793 SD: 0.2226 cents 397:454:695:795 SD: 0.2020 cents 417:477:730:835 SD: 0.1638 cents 445:509:779:891 SD: 0.1120 cents 473:541:828:947 SD: 0.0713 cents 501:573:877:1003 SD: 0.0503 cents