Scala analysis: xen18-erlich-orson-03
1L 2s MOS for Orson, L=656.94, s=271.65
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 271.650 cents 271.650000 2: 928.590 cents 928.590000 3: 1200.240 cents 1200.240000
SHOW/INTERVAL
0: 271.6500 cents 271.6500 1: 271.6500 cents 271.6500 2: 656.9400 cents 656.9400 3: 271.6500 cents 271.6500
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 2 271.65000 cents 1: 1 656.94000 cents 2: 1 543.30000 cents 2: 2 928.59000 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 : 271.6 928.6 1200.2 271.6 : 656.9 928.6 1200.2 928.6 : 271.6 543.3 1200.2 1200.2
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 271.6500 .. 656.9400 cents 385.29000 cents 271.65000 cents 2: 543.3000 .. 928.5900 cents 385.29000 cents -113.64000 cents
SHOW DATA
Number of notes : 3 -- Interval properties -- Smallest interval : 271.65000 cents, class 1 Average step (divided formal octave): 400.0800 cents Largest one step interval : 656.94000 cents Average / Smallest step : 1.472777 Largest / Average step : 1.642022 Largest / Smallest step : 2.418332 Median interval of one step : 271.65000 cents, amount: 2 Most common interval of one step : 271.65000 cents, amount: 2 Least squares average step : 409.25357 cents, oct.: 1227.76071 cents Scale is not proper Scale has Myhill's property chromas: 385.29000 cents and 113.64000 cents, ratio: 3.390444 generators: 1 of 271.65000 cents and 2 of 928.59000 cents ET pair of linear temperament : 22&31 Scale is distributional even Scale is a mode of a 433-tone equal temperament with octave 1200.240 cents degrees: 98 335 433 generators: 98 and 335 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 113.64000 cents Scale diversity : 1.403577 Lumma stability : 0.452659 Lumma impropriety factor : 0.094681 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 : 113.64000 cents Most common intervals : 271.65000 cents & inv., amount: 2 Number of recognisable fifths : 0 Number of recognisable fourths : 0 Best major 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: 104.8627 c. M:-128.4300 c. 4: 1 2 1 P M ME I SD: 23.1967 c. M:-28.4100 c. 9: 2 5 2 N M DE I SD: 4.0253 c. M:-4.9300 c. 22: 5 12 5 N M DE I SD: 0.9241 c. M:-1.1318 c. 31: 7 17 7 N M DE I SD: 0.5128 c. M:-0.6281 c. 53: 12 29 12 N M DE I SD: 0.0837 c. M:-0.1025 c. 137: 31 75 31 N M DE I SD: 0.0513 c. M:-0.0628 c. 190: 43 104 43 N M DE I SD: 0.0137 c. M:-0.0167 c. 243: 55 133 55 N M DE I SD: 0.0076 c. M:-0.0093 c. 433: 98 237 98 N M DE I SD: 0.0018 c. M:-0.0021 c. 676: 153 370 153 N M DE I SD: 0.0016 c. M:-0.0020 c. 1109: 251 607 251 N M DE I SD: 0.0003 c. M:-0.0004 c. 1542: 349 844 349 N M DE I SD: 0.0003 c. M:-0.0004 c.
FIT/HARMONIC
1 x x 2 S SD: 0.2400 cents 2 x 3:4 S SD: 113.3176 cents 3:4:5:6 H SD: 76.8918 cents 4:5:7:8 SD: 40.5062 cents 5:6:9:10 S SD: 33.0948 cents 6:7:10:12 SD: 14.8298 cents 7:8:12:14 S SD: 13.5768 cents 11:13:19:22 SD: 8.2888 cents 17:20:29:34 SD: 3.4969 cents 24:28:41:48 SD: 1.6698 cents 41:48:70:82 SD: 0.9378 cents 59:69:101:118 SD: 0.7292 cents 76:89:130:152 SD: 0.6282 cents 100:117:171:200 SD: 0.1181 cents 324:379:554:648 SD: 0.1086 cents 365:427:624:730 SD: 0.1074 cents 424:496:725:848 SD: 0.0965 cents 465:544:795:930 SD: 0.0896 cents 565:661:966:1130 SD: 0.0833 cents