Scala analysis: xen18-erlich-garibaldi-02
1L 1s MOS for Garibaldi, L=702.64, s=498.12
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 498.120 cents 498.120000 2: 1200.760 cents 1200.760000
SHOW/INTERVAL
0: 702.6400 cents 702.6400 1: 498.1200 cents 498.1200 2: 702.6400 cents 702.6400
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 498.12000 cents 1: 1 702.64000 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 : 498.1 1200.8 498.1 : 702.6 1200.8 1200.8
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 498.1200 .. 702.6400 cents 204.52000 cents 498.12000 cents
SHOW DATA
Number of notes : 2 -- Interval properties -- Smallest interval : 498.12000 cents, class 1 Average step (divided formal octave): 600.3800 cents Largest one step interval : 702.64000 cents Average / Smallest step : 1.205292 Largest / Average step : 1.170325 Largest / Smallest step : 1.410584 Median interval of one step : 600.38000 cents, amount: 0 Least squares average step : 579.92800 cents, oct.: 1159.85600 cents Scale is strictly proper Scale has Myhill's property chromas: 204.52000 cents and 293.60000 cents, ratio: 1.435556 generator: 1 of 498.12000 cents ET pair of linear temperament : 12&41 Scale is maximally even for L / S <= 2 Scale is distributional even Scale is a mode of a 364-tone equal temperament with octave 1200.760 cents degrees: 151 364 generator: 151 Number of contiguous 1-step segments: 0 Step pattern alph. order: AB Step pattern size order : SL Scale is a Constant Structure, by a margin of 498.12000 cents Scale diversity : 1.419984 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.829675 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 : 204.52000 cents Most common intervals : 498.12000 cents & inv., amount: 1 Number of recognisable fifths : 1, average 702.6400 cents Number of recognisable fourths : 1, average 498.1200 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: 72.3087 c. M:-102.2600 c. 3: 1 2 SP M ME SD: 69.2022 c. M: 97.8667 c. 5: 2 3 SP M ME SD: 12.5978 c. M: 17.8160 c. 7: 3 4 SP M ME SD: 11.6612 c. M:-16.4914 c. 12: 5 7 SP M DE SD: 1.5533 c. M:-2.1967 c. Honchoshi: Japan 29: 12 17 SP M DE SD: 0.8866 c. M: 1.2538 c. 41: 17 24 SP M DE SD: 0.1725 c. M: 0.2439 c. 94: 39 55 SP M DE SD: 0.0478 c. M:-0.0677 c. 135: 56 79 SP M DE SD: 0.0191 c. M: 0.0270 c. 229: 95 134 SP M DE SD: 0.0084 c. M:-0.0119 c. 364: 151 213 SP M DE SD: 0.0018 c. M: 0.0025 c. 957: 397 560 SP M DE SD: 0.0007 c. M:-0.0009 c. 1321: 548 773 SP M DE SD: 0.0000 c. M: 0.0000 c.
FIT/HARMONIC
1 x 2 S SD: 0.7600 cents 3:4:6 S SD: 0.3818 cents 570:760:1141 SD: 0.3808 cents 573:764:1147 SD: 0.3769 cents 576:768:1153 SD: 0.3730 cents 579:772:1159 SD: 0.3691 cents 582:776:1165 SD: 0.3653 cents 585:780:1171 SD: 0.3615 cents 588:784:1177 SD: 0.3577 cents 591:788:1183 SD: 0.3540 cents 594:792:1189 SD: 0.3503 cents 597:796:1195 SD: 0.3467 cents 600:800:1201 SD: 0.3431 cents