Scala analysis: xen18-erlich-amity-04
3L 1s MOS for Amity, L=339.47, s=181.44
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: 678.940 cents 678.940000 3: 860.380 cents 860.380000 4: 1199.850 cents 1199.850000
SHOW/INTERVAL
0: 339.4700 cents 339.4700 1: 339.4700 cents 339.4700 2: 339.4700 cents 339.4700 3: 181.4400 cents 181.4400 4: 339.4700 cents 339.4700
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 181.44000 cents 1: 3 339.47000 cents 2: 2 520.91000 cents 2: 2 678.94000 cents 3: 3 860.38000 cents 3: 1 1018.41000 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 : 339.5 678.9 860.4 1199.8 339.5 : 339.5 520.9 860.4 1199.9 678.9 : 181.4 520.9 860.4 1199.8 860.4 : 339.5 678.9 1018.4 1199.8 1199.8
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 181.4400 .. 339.4700 cents 158.03000 cents 181.44000 cents 2: 520.9100 .. 678.9400 cents 158.03000 cents 181.44000 cents 3: 860.3800 .. 1018.4100 cents 158.03000 cents 181.44000 cents
SHOW DATA
Number of notes : 4 -- Interval properties -- Smallest interval : 181.44000 cents, class 1 Average step (divided formal octave): 299.9625 cents Largest one step interval : 339.47000 cents Average / Smallest step : 1.653232 Largest / Average step : 1.131708 Largest / Smallest step : 1.870977 Median interval of one step : 339.47000 cents, amount: 3 Most common interval of one step : 339.47000 cents, amount: 3 Least squares average step : 302.59633 cents, oct.: 1210.38533 cents Scale is strictly proper Scale has Myhill's property chromas: 158.03000 cents and 23.41000 cents, ratio: 6.750534 generators: 1 of 339.47000 cents and 3 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: 58 116 147 205 generators: 58 and 147 Number of contiguous 1-step segments: 0 Step pattern alph. order: AABA Step pattern size order : LLSL Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 181.44000 cents Scale diversity : 1.400580 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.604876 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 : 158.03000 cents Most common intervals : 339.47000 cents & inv., amount: 3 Scale is a chain of 2 triads 0.0 339.470 860.380 cents Most common triad is 0.0 339.470 860.380 cents, amount: 2 Number of recognisable fifths : 0 Number of recognisable fourths : 0 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 : 1 Inversional symmetry on intervals : 0-1 2-3 -- Rational properties --
FIT/MODE
4: 1 1 1 1 SP B ME I SD: 48.3866 c. M: 79.0150 c. 7: 2 2 1 2 SP M ME SD: 4.0959 c. M:-6.6886 c. 32: 9 9 5 9 SP M DE SD: 2.4644 c. M: 4.0244 c. 39: 11 11 6 11 SP M DE SD: 1.2869 c. M: 2.1015 c. 46: 13 13 7 13 SP M DE SD: 0.4678 c. M: 0.7639 c. 53: 15 15 8 15 SP M DE SD: 0.1350 c. M:-0.2204 c. 152: 43 43 23 43 SP M DE SD: 0.0475 c. M: 0.0775 c. 205: 58 58 31 58 SP M DE SD: 0.0003 c. M: 0.0005 c.
FIT/HARMONIC
1 x x x 2 S SD: 0.1500 cents 2 x 3 x 4 S SD: 11.5077 cents 3:4 x 5:6 S SD: 53.4593 cents 4:5:6:7:8 H SD: 30.0880 cents 5:6:7:8:10 S SD: 27.4391 cents 6:7:9:10:12 SD: 19.9614 cents 8:10:12:13:16 SD: 13.9601 cents 9:11:13:15:18 SD: 12.3217 cents 13:16:19:21:26 SD: 10.5763 cents 14:17:21:23:28 SD: 5.8188 cents 19:23:28:31:38 SD: 4.3254 cents 23:28:34:38:46 SD: 2.3018 cents 37:45:55:61:74 SD: 2.2499 cents 42:51:62:69:84 SD: 1.4578 cents 56:68:83:92:112 SD: 1.0385 cents 73:89:108:120:146 SD: 0.9317 cents 79:96:117:130:158 SD: 0.7441 cents 106:129:157:174:212 SD: 0.6621 cents 115:140:170:189:230 SD: 0.6311 cents 129:157:191:212:258 SD: 0.2177 cents 281:342:416:462:562 SD: 0.2056 cents 300:365:444:493:600 SD: 0.1274 cents 323:393:478:531:646 SD: 0.1194 cents 379:461:561:623:758 SD: 0.1051 cents 452:550:669:743:904 SD: 0.0827 cents 508:618:752:835:1016 SD: 0.0632 cents