Scala analysis: xen18-erlich-orwell-03
1L 2s MOS for Orwell, L=656.55, s=271.49
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 271.490 cents 271.490000 2: 928.040 cents 928.040000 3: 1199.530 cents 1199.530000
SHOW/INTERVAL
0: 271.4900 cents 271.4900 1: 271.4900 cents 271.4900 2: 656.5500 cents 656.5500 3: 271.4900 cents 271.4900
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 2 271.49000 cents 1: 1 656.55000 cents 2: 1 542.98000 cents 2: 2 928.04000 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 : 271.5 928.0 1199.5 271.5 : 656.5 928.0 1199.5 928.0 : 271.5 543.0 1199.5 1199.5
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 271.4900 .. 656.5500 cents 385.06000 cents 271.49000 cents 2: 542.9800 .. 928.0400 cents 385.06000 cents -113.57000 cents
SHOW DATA
Number of notes : 3 -- Interval properties -- Smallest interval : 271.49000 cents, class 1 Average step (divided formal octave): 399.8433 cents Largest one step interval : 656.55000 cents Average / Smallest step : 1.472774 Largest / Average step : 1.642018 Largest / Smallest step : 2.418321 Median interval of one step : 271.49000 cents, amount: 2 Most common interval of one step : 271.49000 cents, amount: 2 Least squares average step : 409.01143 cents, oct.: 1227.03429 cents Scale is not proper Scale has Myhill's property chromas: 385.06000 cents and 113.57000 cents, ratio: 3.390508 generators: 1 of 271.49000 cents and 2 of 928.04000 cents ET pair of linear temperament : 22&31 Scale is distributional even Scale is a mode of a 433-tone equal temperament with octave 1199.530 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 113.57000 cents Scale diversity : 1.404714 Lumma stability : 0.452661 Lumma impropriety factor : 0.094679 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 : 113.57000 cents Most common intervals : 271.49000 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: 104.8001 c. M:-128.3533 c. 4: 1 2 1 P M ME I SD: 23.1824 c. M:-28.3925 c. 9: 2 5 2 N M DE I SD: 4.0235 c. M:-4.9278 c. 22: 5 12 5 N M DE I SD: 0.9230 c. M: 1.1305 c. 31: 7 17 7 N M DE I SD: 0.5131 c. M: 0.6284 c. 53: 12 29 12 N M DE I SD: 0.0830 c. M:-0.1017 c. 137: 31 75 31 N M DE I SD: 0.0519 c. M:-0.0635 c. 190: 43 104 43 N M DE I SD: 0.0142 c. M:-0.0174 c. 243: 55 133 55 N M DE I SD: 0.0070 c. M: 0.0086 c. 433: 98 237 98 N M DE I SD: 0.0023 c. M: 0.0028 c. 676: 153 370 153 N M DE I SD: 0.0010 c. M:-0.0013 c. 1109: 251 607 251 N M DE I SD: 0.0003 c. M:-0.0003 c. 1785: 404 977 404 N M DE I SD: 0.0002 c. M:-0.0003 c.
FIT/HARMONIC
1 x x 2 S SD: 0.4700 cents 2 x 3:4 S SD: 113.0427 cents 3:4:5:6 H SD: 76.9094 cents 4:5:7:8 SD: 40.6177 cents 5:6:9:10 S SD: 33.2831 cents 6:7:10:12 SD: 14.6424 cents 7:8:12:14 S SD: 13.5462 cents 11:13:19:22 SD: 8.4578 cents 17:20:29:34 SD: 3.4847 cents 24:28:41:48 SD: 1.5786 cents 41:48:70:82 SD: 0.8193 cents 65:76:111:130 SD: 0.6141 cents 100:117:171:200 SD: 0.3152 cents 124:145:212:248 SD: 0.2996 cents 141:165:241:282 SD: 0.2636 cents 165:193:282:330 SD: 0.1715 cents 265:310:453:530 SD: 0.1686 cents 430:503:735:860 SD: 0.1577 cents 595:696:1017:1190 SD: 0.1577 cents