Scala analysis: xen18-erlich-luna-02
1L 1s MOS for Luna, L=1006.784, s=193.196
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 1006.784 cents 1006.784000 2: 1199.980 cents 1199.980000
SHOW/INTERVAL
0: 193.1960 cents 193.1960 1: 1006.7840 cents 1006.7840 2: 193.1960 cents 193.1960
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 193.19600 cents 1: 1 1006.78400 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 : 1006.8 1200.0 1006.8: 193.2 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 193.1960 .. 1006.7840 cents 813.58800 cents 193.19600 cents
SHOW DATA
Number of notes : 2 -- Interval properties -- Smallest interval : 193.19600 cents, class 1 Average step (divided formal octave): 599.9900 cents Largest one step interval : 1006.78400 cents Average / Smallest step : 3.105603 Largest / Average step : 1.678001 Largest / Smallest step : 5.211205 Median interval of one step : 599.99000 cents, amount: 0 Least squares average step : 681.34880 cents, oct.: 1362.69760 cents Scale is strictly proper Scale has Myhill's property chromas: 813.58800 cents and 620.39200 cents, ratio: 1.311410 generator: 193.19600 cents ET pair of linear temperament : 25&31 Scale is distributional even Scale is a mode of a 441-tone equal temperament with octave 1199.980 cents degrees: 370 441 generator: 71 Number of contiguous 1-step segments: 0 Step pattern alph. order: AB Step pattern size order : LS Scale is a Constant Structure, by a margin of 193.19600 cents Scale diversity : 0.967132 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.321999 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 : 813.58800 cents Most common intervals : 193.19600 cents & inv., amount: 1 Number of recognisable fifths : 0 Number of recognisable fourths : 0 Steps are strictly decreasing 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: 2 0 SP M DE SD: 136.6102 c. M:-193.1960 c. 4: 3 1 SP M DE SD: 75.5183 c. M: 106.7990 c. 5: 4 1 SP M DE SD: 33.0926 c. M: 46.8000 c. 6: 5 1 SP M DE SD: 4.8088 c. M: 6.8007 c. Warao ditonic: South America 19: 16 3 SP M DE SD: 2.6343 c. M:-3.7255 c. 25: 21 4 SP M DE SD: 0.8480 c. M:-1.1992 c. 31: 26 5 SP M DE SD: 0.2469 c. M: 0.3492 c. 56: 47 9 SP M DE SD: 0.2419 c. M:-0.3421 c. 87: 73 14 SP M DE SD: 0.0677 c. M:-0.0958 c. 118: 99 19 SP M DE SD: 0.0149 c. M: 0.0211 c. 323: 271 52 SP M DE SD: 0.0073 c. M:-0.0104 c. 441: 370 71 SP M DE SD: 0.0014 c. M:-0.0019 c. 1000: 839 161 SP M DE SD: 0.0006 c. M: 0.0008 c. 1441: 1209 232 SP M DE SD: 0.0000 c. M:-0.0001 c.
FIT/HARMONIC
1 x 2 S SD: 0.0200 cents 2 x 4 S SD: 0.0200 cents 161:288:322 SD: 0.0163 cents 232:415:464 SD: 0.0100 cents