Scala analysis: xen18-erlich-tetracot-03
1L 2s MOS for Tetracot, L=846.81, s=176.11
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 176.110 cents 176.110000 2: 1022.920 cents 1022.920000 3: 1199.030 cents 1199.030000
SHOW/INTERVAL
0: 176.1100 cents 176.1100 1: 176.1100 cents 176.1100 2: 846.8100 cents 846.8100 3: 176.1100 cents 176.1100
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 2 176.11000 cents 1: 1 846.81000 cents 2: 1 352.22000 cents 2: 2 1022.92000 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 : 176.1 1022.9 1199.0 176.1 : 846.8 1022.9 1199.0 1022.9: 176.1 352.2 1199.0 1199.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 176.1100 .. 846.8100 cents 670.70000 cents 176.11000 cents 2: 352.2200 .. 1022.9200 cents 670.70000 cents -494.59000 cents
SHOW DATA
Number of notes : 3 -- Interval properties -- Smallest interval : 176.11000 cents, class 1 Average step (divided formal octave): 399.6767 cents Largest one step interval : 846.81000 cents Average / Smallest step : 2.269472 Largest / Average step : 2.118738 Largest / Smallest step : 4.808415 Median interval of one step : 176.11000 cents, amount: 2 Most common interval of one step : 176.11000 cents, amount: 2 Least squares average step : 415.64571 cents, oct.: 1246.93714 cents Scale is not proper Scale has Myhill's property chromas: 670.70000 cents and 494.59000 cents, ratio: 1.356073 generators: 1 of 176.11000 cents and 2 of 1022.92000 cents ET pair of linear temperament : 34&143 Scale is distributional even Scale is a mode of a 320-tone equal temperament with octave 1199.030 cents degrees: 47 273 320 generators: 47 and 273 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 176.11000 cents Scale diversity : 1.239546 Lumma stability : 0.293754 Lumma impropriety factor : 0.412492 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 : 176.11000 cents Most common intervals : 176.11000 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: 0 2 1 N G T3 SD: 164.3135 c. M: 223.5667 c. 4: 0 3 1 N G T3 SD: 124.2356 c. M: 176.1100 c. 5: 1 3 1 N M DE I SD: 52.0076 c. M:-63.6960 c. 6: 1 4 1 N M DE I SD: 19.3741 c. M:-23.7283 c. 7: 1 5 1 N M DE I SD: 3.9355 c. M:-4.8200 c. 20: 3 14 3 N M DE I SD: 3.0574 c. M:-3.7445 c. 27: 4 19 4 N M DE I SD: 1.2444 c. M:-1.5241 c. 34: 5 24 5 N M DE I SD: 0.1779 c. M:-0.2179 c. 109: 16 77 16 N M DE I SD: 0.0862 c. M:-0.1056 c. 143: 21 101 21 N M DE I SD: 0.0234 c. M:-0.0287 c. 177: 26 125 26 N M DE I SD: 0.0153 c. M:-0.0187 c. 320: 47 226 47 N M DE I SD: 0.0020 c. M:-0.0025 c. 817: 120 577 120 N M DE I SD: 0.0017 c. M:-0.0021 c. 1137: 167 803 167 N M DE I SD: 0.0007 c. M:-0.0008 c. 1457: 214 1029 214 N M DE I SD: 0.0001 c. M:-0.0001 c.
FIT/HARMONIC
1 x x 2 S SD: 0.9700 cents 2 x x 4 S SD: 0.9700 cents 56:62:101:112 SD: 0.7095 cents 93:103:168:186 SD: 0.4931 cents 103:114:186:206 SD: 0.3666 cents 149:165:269:298 SD: 0.3642 cents 252:279:455:504 SD: 0.3251 cents 458:507:827:915 SD: 0.3137 cents 494:547:892:987 SD: 0.2855 cents 504:558:910:1007 SD: 0.2517 cents 514:569:928:1027 SD: 0.2435 cents 550:609:993:1099 SD: 0.2272 cents 551:610:995:1101 SD: 0.2176 cents 560:620:1011:1119 SD: 0.2039 cents 597:661:1078:1193 SD: 0.1793 cents