Scala analysis: 699_S8
Semi-tempered tetrachord 1.21677 * 1.03862 * 1.05505
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 339.668 cents 339.667790 2: 405.269 cents 405.269280 3: 498.043 cents 498.042930
SHOW/INTERVAL
0: 92.7736 cents 92.7736 1: 339.6678 cents 339.6678 2: 65.6015 cents 65.6015 3: 92.7737 cents 92.7737
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 65.60149 cents 1: 1 92.77365 cents 1: 1 339.66779 cents 2: 1 158.37514 cents 2: 1 405.26928 cents 2: 1 432.44144 cents Highest number of different intervals for one interval class: 3 Average number of different intervals per interval class: 3.00000 = 3
SHOW/LINE/CENTS INTERVALS
1 2 3 0.0 : 339.7 405.3 498.0 339.7: 65.6 158.4 498.0 405.3: 92.8 432.4 498.0 498.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 65.6015 .. 339.6678 cents 274.06630 cents 65.60149 cents 2: 158.3751 .. 432.4414 cents 274.06630 cents -181.29265 cents
SHOW DATA
Number of notes : 3 -- Interval properties -- Smallest interval : 65.60149 cents, class 1 Average step (divided formal octave): 166.0143 cents Largest one step interval : 339.66779 cents Average / Smallest step : 2.530648 Largest / Average step : 2.046015 Largest / Smallest step : 5.177745 Median interval of one step : 92.77365 cents, amount: 1 Least squares average step : 188.88108 cents, oct.: 566.64324 cents Scale is not proper Scale has trivalence property Scale is a mode of a 1283-tone equal temperament with octave 498.043 cents degrees: 875 1044 1283 Least number of segments generator : 642 of 249.216 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 897 of 348.203 cents and inv. generated superset size: 38 = 35 more = 1266.667% Number of contiguous 1-step segments: 0 Step pattern alph. order: ABC Step pattern size order : LSM Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 65.60149 cents Scale diversity : 0.843336 Lumma stability : 0.263437 Lumma impropriety factor : 0.364010 Rothenberg efficiency : 0.666667 redundancy: 0.333333 Efficiency x scale size : 2.000000 Number of different interval sizes : 6 = 3.00000 / class Number of one step interval sizes : 3 Highest interval variety : 3 Mean interval variety : 3.00000 = 3 Median interval variety : 3 Lowest interval variety : 3 Smallest interval difference : 27.17216 cents Number of recognisable fifths : 0 Number of recognisable fourths : 0 Formal octave complements present : 1 = 33.3333% 2/1 octave complements present : 0 = 0.0000% Limited inverse transpositions with margin 274.0663 cents: 1 -- Rational properties --
FIT/MODE
3: 2 0 1 N G T3 SD: 42.5149 c. M: 73.2407 c. 4: 3 0 1 N G T3 SD: 26.7958 c. M:-33.8644 c. 5: 3 1 1 N M DE S SD: 23.9081 c. M: 40.8420 c. 6: 4 1 1 N M DE S SD: 7.1587 c. M:-9.7665 c. 10: 7 1 2 N T3 SD: 6.5074 c. M:-8.9623 c. 15: 10 2 3 N T3 SD: 5.9181 c. M: 7.6392 c. 16: 11 2 3 N T3 SD: 1.6187 c. M:-2.7367 c. 22: 15 3 4 N T3 SD: 1.2831 c. M:-2.2204 c. 38: 26 5 7 N T3 SD: 0.8689 c. M:-1.0984 c. 69: 47 9 13 N T3 SD: 0.6588 c. M: 1.0605 c. 75: 51 10 14 N T3 SD: 0.5874 c. M: 0.9986 c. 85: 58 11 16 N T3 SD: 0.5721 c. M: 0.9756 c. 91: 62 12 17 N T3 SD: 0.2505 c. M: 0.3418 c. 107: 73 14 20 N T3 SD: 0.1962 c. M: 0.3185 c. 113: 77 15 21 N T3 SD: 0.2107 c. M: 0.2934 c. 129: 88 17 24 N T3 SD: 0.0815 c. M:-0.1145 c. 220: 150 29 41 N T3 SD: 0.0593 c. M: 0.0931 c. 349: 238 46 65 N T3 SD: 0.0184 c. M: 0.0282 c. 585: 399 77 109 N T3 SD: 0.0192 c. M: 0.0241 c. 714: 487 94 133 N T3 SD: 0.0195 c. M:-0.0338 c. 805: 549 106 150 N T3 SD: 0.0177 c. M: 0.0294 c. 934: 637 123 174 N T3 SD: 0.0059 c. M: 0.0095 c. 1283: 875 169 239 N T3 SD: 0.0032 c. M: 0.0048 c. 2346: 1600 309 437 N T3 SD: 0.0021 c. M:-0.0034 c.
FIT/HARMONIC
1 x x 2 S SD: 701.9571 cents 2 x x 3 S SD: 203.9121 cents 3 x x 4 S SD: 0.0021 cents 4 x 5 x S SD: 18.9556 cents 5:6 x 7 S SD: 43.9099 cents 6:7 x 8 S SD: 36.3984 cents 7 x 9 x SD: 29.8148 cents 8 x 10:11 S SD: 28.2734 cents 9:11 x 12 SD: 3.8701 cents 10:12 x 13 S SD: 24.9913 cents 11:13:14:15 SD: 21.6272 cents 12 x 15:16 S SD: 9.4778 cents 13:16 x 17 SD: 19.5077 cents 14:17:18:19 SD: 14.3004 cents 15:18:19:20 S SD: 8.1177 cents 17:21 x 23 SD: 18.1872 cents 18:22:23:24 SD: 6.8681 cents 23:28:29:31 SD: 6.3848 cents 27:33:34:36 SD: 3.3013 cents 42:51:53:56 SD: 1.4530 cents 60:73:76:80 SD: 1.3259 cents 87:106:110:116 SD: 0.8165 cents 102:124:129:136 SD: 0.6710 cents 129:157:163:172 SD: 0.1618 cents 360:438:455:480 SD: 0.0760 cents 489:595:618:652 SD: 0.0192 cents