Scala analysis: xen18-erlich-vishnu-04
2L 2s MOS for Vishnu, L=528.82, s=71.15
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 528.820 cents 528.820000 2: 599.970 cents 599.970000 3: 1128.790 cents 1128.790000 4: 1199.940 cents 1199.940000
SHOW/INTERVAL
0: 71.1500 cents 71.1500 1: 528.8200 cents 528.8200 2: 71.1500 cents 71.1500 3: 528.8200 cents 528.8200 4: 71.1500 cents 71.1500
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 2 71.15000 cents 1: 2 528.82000 cents 2: 4 599.97000 cents 3: 2 671.12000 cents 3: 2 1128.79000 cents Highest number of different intervals for one interval class: 2 Average number of different intervals per interval class: 1.66667 = 5/3
SHOW/LINE/CENTS INTERVALS
1 2 3 4 0.0 : 528.8 600.0 1128.8 1199.9 528.8 : 71.2 600.0 671.1 1199.9 600.0 : 528.8 600.0 1128.8 1199.9 1128.8: 71.2 600.0 671.1 1199.9 1199.9
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 71.1500 .. 528.8200 cents 457.67000 cents 71.15000 cents 2: 599.9700 .. 599.9700 cents 1/1, 0.0000 cents 71.15000 cents 3: 671.1200 .. 1128.7900 cents 457.67000 cents 71.15000 cents
SHOW DATA
Number of notes : 4 -- Interval properties -- Smallest interval : 71.15000 cents, class 1 Average step (divided formal octave): 299.9850 cents Largest one step interval : 528.82000 cents Average / Smallest step : 4.216233 Largest / Average step : 1.762821 Largest / Smallest step : 7.432467 Median interval of one step : 299.98500 cents, amount: 0 Least squares average step : 330.49633 cents, oct.: 1321.98533 cents Scale is strictly proper Scale has 2 repeating blocks of 2 notes Blocks have Myhill's property chromas: 457.67000 cents and 386.52000 cents, ratio: 1.184078 generator: 71.15000 cents ET pair of linear temperament : 34&118 Scale is distributional even Scale is a mode of a 624-tone equal temperament with octave 1199.940 cents degrees: 275 312 587 624 Least number of segments generator : 313 of 601.893 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 349 of 671.120 cents and inv. generated superset size: 314 = 310 more = 7850.000% Number of contiguous 1-step segments: 0 Step pattern alph. order: ABAB Step pattern size order : LSLS Scale is a Constant Structure, by a margin of 71.15000 cents Scale diversity : 0.856546 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.237179 Rothenberg efficiency (ambiguous key): 1.000000 redundancy: 0.000000 Efficiency x scale size : 4.000000 Number of different interval sizes : 5 = 1.66667 / class Number of one step interval sizes : 2 Highest interval variety : 2 Mean interval variety : 1.66667 = 5/3 Median interval variety : 2 Lowest interval variety : 1 Smallest interval difference : 71.15000 cents Most common intervals : 599.97000 cents & inv., amount: 4 Scale is a chain of 2 triads 0.0 528.820 599.970 cents Number of recognisable fifths : 0 Number of recognisable fourths : 0 Best minor thirds form a closed circle Formal octave complements present : 2 = 50.0000% 2/1 octave complements present : 0 = 0.0000% Limited transpositions : 2 Limited inverse transpositions : 1 3 Inversional symmetry on intervals : 0-1 1-2 2-3 3-4 -- Rational properties --
FIT/MODE
4: 2 0 2 0 P B DE SD: 50.3106 c. M:-71.1500 c. 6: 3 0 3 0 P B DE SD: 50.3106 c. M:-71.1500 c. 9: 4 0 4 1 P D3 SD: 45.6346 c. M: 66.6633 c. 10: 4 1 4 1 SP B DE SD: 34.5379 c. M: 48.8440 c. 11: 5 0 5 1 P D3 SD: 34.2411 c. M: 54.5427 c. 12: 5 1 5 1 SP B DE SD: 20.3965 c. M: 28.8450 c. Messiaen truncated mode 5 inverse 14: 6 1 6 1 SP B DE SD: 10.2955 c. M: 14.5600 c. 16: 7 1 7 1 SP B DE SD: 2.7197 c. M: 3.8463 c. 34: 15 2 15 2 SP B DE SD: 0.3997 c. M:-0.5653 c. 84: 37 5 37 5 SP B DE SD: 0.1945 c. M: 0.2750 c. 118: 52 7 52 7 SP B DE SD: 0.0233 c. M: 0.0329 c. 388: 171 23 171 23 SP B DE SD: 0.0138 c. M:-0.0195 c. 506: 223 30 223 30 SP B DE SD: 0.0052 c. M:-0.0073 c. 624: 275 37 275 37 SP B DE SD: 0.0002 c. M: 0.0003 c.
FIT/HARMONIC
1 x x x 2 S SD: 0.0600 cents 2 x 3 x 4 S SD: 50.9925 cents 3:4 x x 6 S SD: 15.3875 cents 4:5:6 x 8 S SD: 58.4133 cents 5 x 7 x 10 SD: 8.7290 cents 6:8 x x 12 S SD: 15.3875 cents 7 x 10:13:14 SD: 19.9052 cents 8:11 x 15:16 SD: 15.4493 cents 9:12:13:17:18 SD: 13.8291 cents 10 x 14:19:20 SD: 8.2611 cents 12:16:17:23:24 SD: 7.7556 cents 13:18 x 25:26 SD: 11.5735 cents 14:19:20:27:28 SD: 4.8409 cents 22:30:31:42:44 SD: 3.4659 cents 34:46:48:65:68 SD: 2.3285 cents 36:49:51:69:72 SD: 1.5715 cents 39:53:55:75:78 SD: 1.5622 cents 48:65:68:92:96 SD: 1.3866 cents 53:72:75:102:106 SD: 1.2513 cents 70:95:99:134:140 SD: 1.1566 cents 73:99:103:140:146 SD: 1.1084 cents 75:102:106:144:150 SD: 0.9252 cents 87:118:123:167:174 SD: 0.3209 cents 123:167:174:236:246 SD: 0.2591 cents 210:285:297:403:420 SD: 0.0931 cents 459:623:649:881:918 SD: 0.0785 cents 560:760:792:1075:1120 SD: 0.0715 cents 582:790:823:1117:1164 SD: 0.0670 cents