Scala analysis: xen18-erlich-orson-04
1L 3s MOS for Orson, L=385.29, 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: 656.940 cents 656.940000 3: 928.590 cents 928.590000 4: 1200.240 cents 1200.240000
SHOW/INTERVAL
0: 271.6500 cents 271.6500 1: 271.6500 cents 271.6500 2: 385.2900 cents 385.2900 3: 271.6500 cents 271.6500 4: 271.6500 cents 271.6500
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 3 271.65000 cents 1: 1 385.29000 cents 2: 2 543.30000 cents 2: 2 656.94000 cents 3: 1 814.95000 cents 3: 3 928.59000 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 4 0.0 : 271.6 656.9 928.6 1200.2 271.6 : 385.3 656.9 928.6 1200.2 656.9 : 271.6 543.3 814.9 1200.2 928.6 : 271.6 543.3 928.6 1200.2 1200.2
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 271.6500 .. 385.2900 cents 113.64000 cents 271.65000 cents 2: 543.3000 .. 656.9400 cents 113.64000 cents 158.01000 cents 3: 814.9500 .. 928.5900 cents 113.64000 cents 158.01000 cents
SHOW DATA
Number of notes : 4 -- Interval properties -- Smallest interval : 271.65000 cents, class 1 Average step (divided formal octave): 300.0600 cents Largest one step interval : 385.29000 cents Average / Smallest step : 1.104583 Largest / Average step : 1.284043 Largest / Smallest step : 1.418332 Median interval of one step : 271.65000 cents, amount: 3 Most common interval of one step : 271.65000 cents, amount: 3 Least squares average step : 305.74200 cents, oct.: 1222.96800 cents Scale is strictly proper Scale has Myhill's property chromas: 113.64000 cents and 158.01000 cents, ratio: 1.390444 generators: 1 of 271.65000 cents and 3 of 928.59000 cents ET pair of linear temperament : 22&31 Scale is maximally even for L / S <= 2 Scale is distributional even Scale is a mode of a 433-tone equal temperament with octave 1200.240 cents degrees: 98 237 335 433 generators: 98 and 335 Number of contiguous 1-step segments: 0 Step pattern alph. order: ABAA Step pattern size order : SLSS Scale is a Constant Structure, by a margin of 158.01000 cents Scale diversity : 1.303689 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.715957 Rothenberg efficiency : 0.833333 redundancy: 0.166667 Efficiency x scale size : 3.333333 Number of different interval sizes : 6 = 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: 3 Scale is a chain of 2 triads 0.0 271.650 928.590 cents Number of recognisable fifths : 0 Number of recognisable fourths : 0 Best major thirds form a closed circle Best minor thirds form a closed circle Formal octave complements present : 3 = 75.0000% 2/1 octave complements present : 0 = 0.0000% Limited inverse transpositions : 3 Inversional symmetry on intervals : 1-2 3-4 -- Rational properties --
FIT/MODE
4: 1 1 1 1 SP B ME I SD: 34.7950 c. M: 56.8200 c. 9: 2 3 2 2 SP M ME SD: 6.0380 c. M:-9.8600 c. 22: 5 7 5 5 SP M DE SD: 1.3862 c. M: 2.2636 c. 31: 7 10 7 7 SP M DE SD: 0.7692 c. M:-1.2561 c. 53: 12 17 12 12 SP M DE SD: 0.1255 c. M: 0.2049 c. 137: 31 44 31 31 SP M DE SD: 0.0770 c. M:-0.1257 c. 190: 43 61 43 43 SP M DE SD: 0.0205 c. M:-0.0335 c. 243: 55 78 55 55 SP M DE SD: 0.0113 c. M: 0.0185 c. 433: 98 139 98 98 SP M DE SD: 0.0026 c. M:-0.0043 c. 676: 153 217 153 153 SP M DE SD: 0.0024 c. M: 0.0039 c. 1109: 251 356 251 251 SP M DE SD: 0.0004 c. M: 0.0007 c. 1542: 349 495 349 349 SP M DE SD: 0.0004 c. M:-0.0007 c.
FIT/HARMONIC
1 x x x 2 S SD: 0.2400 cents 2 x 3 x 4 S SD: 22.5078 cents 3 x 4:5:6 S SD: 54.9789 cents 4:5:6:7:8 H SD: 32.3971 cents 5:6:7:9:10 SD: 31.0211 cents 6:7:9:10:12 SD: 15.8226 cents 7:8:10:12:14 S SD: 14.1762 cents 11:13:16:19:22 SD: 6.5504 cents 17:20:25:29:34 SD: 3.7519 cents 24:28:35:41:48 SD: 1.5652 cents 41:48:60:70:82 SD: 0.9032 cents 65:76:95:111:130 SD: 0.5897 cents 76:89:111:130:152 SD: 0.5524 cents 100:117:146:171:200 SD: 0.4532 cents 117:137:171:200:234 SD: 0.4050 cents 141:165:206:241:282 SD: 0.2482 cents 383:448:560:655:766 SD: 0.2313 cents 407:476:595:696:814 SD: 0.2032 cents 442:517:646:756:884 SD: 0.1831 cents 459:537:671:785:918 SD: 0.1692 cents 483:565:706:826:966 SD: 0.1294 cents 524:613:766:896:1048 SD: 0.1206 cents 548:641:801:937:1096 SD: 0.1060 cents 600:702:877:1026:1200 SD: 0.1014 cents