Scala analysis: xen18-erlich-amity-03
1L 2s MOS for Amity, L=520.91, s=339.47
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 339.470 cents 339.470000 2: 860.380 cents 860.380000 3: 1199.850 cents 1199.850000
SHOW/INTERVAL
0: 339.4700 cents 339.4700 1: 339.4700 cents 339.4700 2: 520.9100 cents 520.9100 3: 339.4700 cents 339.4700
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 2 339.47000 cents 1: 1 520.91000 cents 2: 1 678.94000 cents 2: 2 860.38000 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 : 339.5 860.4 1199.8 339.5 : 520.9 860.4 1199.9 860.4 : 339.5 678.9 1199.8 1199.8
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 339.4700 .. 520.9100 cents 181.44000 cents 339.47000 cents 2: 678.9400 .. 860.3800 cents 181.44000 cents 158.03000 cents
SHOW DATA
Number of notes : 3 -- Interval properties -- Smallest interval : 339.47000 cents, class 1 Average step (divided formal octave): 399.9500 cents Largest one step interval : 520.91000 cents Average / Smallest step : 1.178160 Largest / Average step : 1.302438 Largest / Smallest step : 1.534480 Median interval of one step : 339.47000 cents, amount: 2 Most common interval of one step : 339.47000 cents, amount: 2 Least squares average step : 404.27000 cents, oct.: 1212.81000 cents Scale is strictly proper Scale has Myhill's property chromas: 181.44000 cents and 158.03000 cents, ratio: 1.148136 generators: 1 of 339.47000 cents and 2 of 860.38000 cents ET pair of linear temperament : 46&53 Scale is maximally even for L / S <= 2 Scale is distributional even Scale is a mode of a 205-tone equal temperament with octave 1199.850 cents degrees: 58 147 205 generators: 58 and 147 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 158.03000 cents Scale diversity : 1.365457 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.697562 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 : 158.03000 cents Most common intervals : 339.47000 cents & inv., amount: 2 Number of recognisable fifths : 0 Number of recognisable fourths : 0 Best fifths form a closed circle Best major thirds form a closed circle Best minor 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: 49.3817 c. M:-60.4800 c. 4: 1 2 1 P M ME I SD: 32.2577 c. M:-39.5075 c. 7: 2 3 2 SP M ME I SD: 2.7306 c. M:-3.3443 c. 32: 9 14 9 SP M DE I SD: 1.6429 c. M:-2.0122 c. 39: 11 17 11 SP M DE I SD: 0.8579 c. M:-1.0508 c. 46: 13 20 13 SP M DE I SD: 0.3119 c. M:-0.3820 c. 53: 15 23 15 SP M DE I SD: 0.0900 c. M:-0.1102 c. 152: 43 66 43 SP M DE I SD: 0.0316 c. M:-0.0388 c. 205: 58 89 58 SP M DE I SD: 0.0002 c. M:-0.0002 c.
FIT/HARMONIC
1 x x 2 S SD: 0.1500 cents 2 x 3:4 S SD: 79.2125 cents 3:4:5:6 H SD: 53.4593 cents 4:5:7:8 SD: 39.3769 cents 5:6:8:10 S SD: 17.4742 cents 8:10:13:16 SD: 16.9590 cents 9:11:15:18 SD: 8.4196 cents 14:17:23:28 SD: 1.1571 cents 65:79:107:130 SD: 1.0338 cents 79:96:130:158 SD: 0.9391 cents 87:106:143:174 SD: 0.8359 cents 101:123:166:202 SD: 0.5702 cents 115:140:189:230 SD: 0.3755 cents 129:157:212:258 SD: 0.2372 cents 143:174:235:286 SD: 0.1611 cents 300:365:493:600 SD: 0.1527 cents 309:376:508:618 SD: 0.1427 cents 323:393:531:646 SD: 0.1013 cents 337:410:554:674 SD: 0.0796 cents 466:567:766:932 SD: 0.0724 cents 480:584:789:960 SD: 0.0529 cents 494:601:812:988 SD: 0.0526 cents