Scala analysis: xen18-erlich-helmholtz-02
1L 1s MOS for Helmholtz, L=701.79, s=498.28
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 498.280 cents 498.280000 2: 1200.070 cents 1200.070000
SHOW/INTERVAL
0: 701.7900 cents 701.7900 1: 498.2800 cents 498.2800 2: 701.7900 cents 701.7900
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 498.28000 cents 1: 1 701.79000 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 0.0 : 498.3 1200.1 498.3 : 701.8 1200.1 1200.1
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 498.2800 .. 701.7900 cents 203.51000 cents 498.28000 cents
SHOW DATA
Number of notes : 2 -- Interval properties -- Smallest interval : 498.28000 cents, class 1 Average step (divided formal octave): 600.0350 cents Largest one step interval : 701.79000 cents Average / Smallest step : 1.204212 Largest / Average step : 1.169582 Largest / Smallest step : 1.408425 Median interval of one step : 600.03500 cents, amount: 0 Least squares average step : 579.68400 cents, oct.: 1159.36800 cents Scale is strictly proper Scale has Myhill's property chromas: 203.51000 cents and 294.77000 cents, ratio: 1.448430 generator: 1 of 498.28000 cents ET pair of linear temperament : 12&53 Scale is maximally even for L / S <= 2 Scale is distributional even Scale is a mode of a 171-tone equal temperament with octave 1200.070 cents degrees: 71 171 generator: 71 Number of contiguous 1-step segments: 0 Step pattern alph. order: AB Step pattern size order : SL Interval vector is [ 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 ] Scale is a Constant Structure, by a margin of 498.28000 cents Scale diversity : 1.420420 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.830418 Rothenberg efficiency : 1.000000 redundancy: 0.000000 Efficiency x scale size : 2.000000 Number of different interval sizes : 2 = 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 : 203.51000 cents Most common intervals : 498.28000 cents & inv., amount: 1 Number of recognisable fifths : 1, average 701.7900 cents Number of recognisable fourths : 1, average 498.2800 cents Best fifths form a closed circle Best major thirds form a closed circle Steps are strictly increasing Formal octave complements present : 1 = 50.0000% 2/1 octave complements present : 0 = 0.0000% Limited inverse transpositions : 1 Inversional symmetry on intervals : 0-1 1-2 -- Rational properties --
FIT/MODE
2: 1 1 SP B ME I SD: 71.9517 c. M:-101.7550 c. 3: 1 2 SP M ME SD: 69.4780 c. M: 98.2567 c. 5: 2 3 SP M ME SD: 12.9061 c. M: 18.2520 c. 7: 3 4 SP M ME SD: 11.3390 c. M:-16.0357 c. 12: 5 7 SP M DE SD: 1.2368 c. M:-1.7492 c. Honchoshi: Japan 29: 12 17 SP M DE SD: 1.2016 c. M: 1.6993 c. 41: 17 24 SP M DE SD: 0.4879 c. M: 0.6900 c. 53: 22 31 SP M DE SD: 0.0974 c. M: 0.1377 c. 118: 49 69 SP M DE SD: 0.0383 c. M:-0.0542 c. 171: 71 100 SP M DE SD: 0.0038 c. M: 0.0053 c. 802: 333 469 SP M DE SD: 0.0024 c. M:-0.0034 c. 973: 404 569 SP M DE SD: 0.0013 c. M:-0.0019 c. 1144: 475 669 SP M DE SD: 0.0006 c. M:-0.0008 c. 1315: 546 769 SP M DE SD: 0.0000 c. M:-0.0000 c.
FIT/HARMONIC
1 x 2 S SD: 0.0700 cents