Scala analysis: xen18-erlich-srutal-04
2L 2s MOS for Srutal, L=494.86, s=104.70
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 104.700 cents 104.700000 2: 599.560 cents 599.560000 3: 704.260 cents 704.260000 4: 1199.120 cents 1199.120000
SHOW/INTERVAL
0: 494.8600 cents 494.8600 1: 104.7000 cents 104.7000 2: 494.8600 cents 494.8600 3: 104.7000 cents 104.7000 4: 494.8600 cents 494.8600
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 2 104.70000 cents 1: 2 494.86000 cents 2: 4 599.56000 cents 3: 2 704.26000 cents 3: 2 1094.42000 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 : 104.7 599.6 704.3 1199.1 104.7 : 494.9 599.6 1094.4 1199.1 599.6 : 104.7 599.6 704.3 1199.1 704.3 : 494.9 599.6 1094.4 1199.1 1199.1
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 104.7000 .. 494.8600 cents 390.16000 cents 104.70000 cents 2: 599.5600 .. 599.5600 cents 1/1, 0.0000 cents 104.70000 cents 3: 704.2600 .. 1094.4200 cents 390.16000 cents 104.70000 cents
SHOW DATA
Number of notes : 4 -- Interval properties -- Smallest interval : 104.70000 cents, class 1 Average step (divided formal octave): 299.7800 cents Largest one step interval : 494.86000 cents Average / Smallest step : 2.863228 Largest / Average step : 1.650744 Largest / Smallest step : 4.726457 Median interval of one step : 299.78000 cents, amount: 0 Least squares average step : 273.76933 cents, oct.: 1095.07733 cents Scale is strictly proper Scale has 2 repeating blocks of 2 notes Blocks have Myhill's property chromas: 390.16000 cents and 285.46000 cents, ratio: 1.366776 generator: 1 of 104.70000 cents ET pair of linear temperament : 34&46 Scale is distributional even Scale is a mode of a 962-tone equal temperament with octave 1199.120 cents degrees: 84 481 565 962 Least number of segments generator : 483 of 602.053 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 565 of 704.265 cents and inv. generated superset size: 483 = 479 more = 12075.000% Number of contiguous 1-step segments: 0 Step pattern alph. order: ABAB Step pattern size order : SLSL Scale is a Constant Structure, by a margin of 104.70000 cents Scale diversity : 1.023159 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.349256 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 : 104.70000 cents Most common intervals : 599.56000 cents & inv., amount: 4 Scale is a chain of 2 triads 0.0 104.700 599.560 cents Number of recognisable fifths : 2, average 704.2600 cents Number of recognisable fourths : 2, average 494.8600 cents 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: 0 2 0 2 P B DE SD: 74.0341 c. M: 104.7000 c. 6: 0 3 0 3 P B DE SD: 74.0341 c. M: 104.7000 c. 7: 0 3 1 3 P D3 SD: 68.3028 c. M: 104.7000 c. 8: 1 3 1 3 SP B DE SD: 31.9542 c. M:-45.1900 c. 10: 1 4 1 4 SP B DE SD: 10.7565 c. M:-15.2120 c. 12: 1 5 1 5 SP B DE SD: 3.3753 c. M: 4.7733 c. Messiaen truncated mode 5 22: 2 9 2 9 SP B DE SD: 3.0483 c. M:-4.3109 c. 34: 3 14 3 14 SP B DE SD: 0.7811 c. M:-1.1047 c. 46: 4 19 4 19 SP B DE SD: 0.3031 c. M: 0.4287 c. 80: 7 33 7 33 SP B DE SD: 0.1577 c. M:-0.2230 c. 126: 11 52 11 52 SP B DE SD: 0.0106 c. M: 0.0149 c. 710: 62 293 62 293 SP B DE SD: 0.0084 c. M:-0.0119 c. 836: 73 345 73 345 SP B DE SD: 0.0055 c. M:-0.0078 c. 962: 84 397 84 397 SP B DE SD: 0.0034 c. M:-0.0049 c. 1088: 95 449 95 449 SP B DE SD: 0.0018 c. M:-0.0026 c. 1214: 106 501 106 501 SP B DE SD: 0.0005 c. M:-0.0008 c. 1340: 117 553 117 553 SP B DE SD: 0.0005 c. M: 0.0007 c.
FIT/HARMONIC
1 x x x 2 S SD: 0.8800 cents 2 x x 3:4 S SD: 1.2336 cents 3 x 4:5:6 S SD: 68.9135 cents 4 x x 6:8 S SD: 1.2336 cents 48:51:68:72:96 S SD: 1.0603 cents 80:85:113:120:160 SD: 0.7460 cents 128:136:181:192:256 SD: 0.6234 cents 145:154:205:218:290 SD: 0.4854 cents 191:203:270:287:382 SD: 0.3529 cents 193:205:273:290:386 SD: 0.3495 cents 225:239:318:338:450 SD: 0.2836 cents 273:290:386:410:546 SD: 0.2280 cents 498:529:704:748:995 SD: 0.2266 cents 512:544:724:769:1023 SD: 0.2224 cents 544:578:769:817:1087 SD: 0.2093 cents 546:580:772:820:1091 SD: 0.1864 cents 592:629:837:889:1183 SD: 0.1823 cents