Scala analysis: xen18-erlich-miracle-02
1L 1s MOS for Miracle, L=1083.91, s=116.72
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 1083.910 cents 1083.910000 2: 1200.630 cents 1200.630000
SHOW/INTERVAL
0: 116.7200 cents 116.7200 1: 1083.9100 cents 1083.9100 2: 116.7200 cents 116.7200
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 116.72000 cents 1: 1 1083.91000 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 : 1083.9 1200.6 1083.9: 116.7 1200.6 1200.6
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 116.7200 .. 1083.9100 cents 967.19000 cents 116.72000 cents
SHOW DATA
Number of notes : 2 -- Interval properties -- Smallest interval : 116.72000 cents, class 1 Average step (divided formal octave): 600.3150 cents Largest one step interval : 1083.91000 cents Average / Smallest step : 5.143206 Largest / Average step : 1.805569 Largest / Smallest step : 9.286412 Median interval of one step : 600.31500 cents, amount: 0 Least squares average step : 697.03400 cents, oct.: 1394.06800 cents Scale is strictly proper Scale has Myhill's property chromas: 967.19000 cents and 850.47000 cents, ratio: 1.137242 generator: 116.72000 cents ET pair of linear temperament : 10&31 Scale is distributional even Scale is a mode of a 1255-tone equal temperament with octave 1200.630 cents degrees: 1133 1255 generator: 122 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 116.72000 cents Scale diversity : 0.582199 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.194431 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 : 967.19000 cents Most common intervals : 116.72000 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: 82.5335 c. M:-116.7200 c. 6: 5 1 SP M DE SD: 58.9621 c. M: 83.3850 c. Warao ditonic: South America 7: 6 1 SP M DE SD: 38.7484 c. M: 54.7986 c. 8: 7 1 SP M DE SD: 23.5882 c. M: 33.3588 c. 9: 8 1 SP M DE SD: 11.7969 c. M: 16.6833 c. 10: 9 1 SP M DE SD: 2.3639 c. M: 3.3430 c. 21: 19 2 SP M DE SD: 1.6789 c. M:-2.3743 c. 31: 28 3 SP M DE SD: 0.3748 c. M:-0.5300 c. 41: 37 4 SP M DE SD: 0.2932 c. M: 0.4146 c. 72: 65 7 SP M DE SD: 0.0056 c. M: 0.0079 c. 1111: 1003 108 SP M DE SD: 0.0050 c. M:-0.0071 c. 1183: 1068 115 SP M DE SD: 0.0044 c. M:-0.0062 c. 1255: 1133 122 SP M DE SD: 0.0038 c. M:-0.0054 c. 1327: 1198 129 SP M DE SD: 0.0033 c. M:-0.0046 c. 1399: 1263 136 SP M DE SD: 0.0028 c. M:-0.0040 c. 1471: 1328 143 SP M DE SD: 0.0024 c. M:-0.0034 c. 1543: 1393 150 SP M DE SD: 0.0020 c. M:-0.0029 c. 1615: 1458 157 SP M DE SD: 0.0017 c. M:-0.0024 c. 1687: 1523 164 SP M DE SD: 0.0014 c. M:-0.0020 c. 1759: 1588 171 SP M DE SD: 0.0011 c. M:-0.0016 c. 1831: 1653 178 SP M DE SD: 0.0008 c. M:-0.0012 c. 1903: 1718 185 SP M DE SD: 0.0006 c. M:-0.0008 c. 1975: 1783 192 SP M DE SD: 0.0004 c. M:-0.0005 c. 2047: 1848 199 SP M DE SD: 0.0002 c. M:-0.0002 c. 2119: 1913 206 SP M DE SD: 0.0000 c. M: 0.0000 c.
FIT/HARMONIC
1 x 2 S SD: 0.6300 cents 2 x 4 S SD: 0.6300 cents 3 x 6 S SD: 0.6300 cents 23:43:46 SD: 0.4586 cents 31:58:62 SD: 0.4461 cents 54:101:108 SD: 0.3175 cents 131:245:262 SD: 0.3161 cents 185:346:370 SD: 0.3151 cents 239:447:478 SD: 0.3150 cents 424:793:848 SD: 0.3150 cents