Scala analysis: 666_T73
Tempered tetrachord in cents 95 + 115 + 290, Chapter 5
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 95.000 cents 95.000000 2: 210.000 cents 210.000000 3: 500.000 cents 500.000000
SHOW/INTERVAL
0: 290.0000 cents 290.0000 1: 95.0000 cents 95.0000 2: 115.0000 cents 115.0000 3: 290.0000 cents 290.0000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 95.00000 cents 1: 1 115.00000 cents 1: 1 290.00000 cents 2: 1 210.00000 cents 2: 1 385.00000 cents 2: 1 405.00000 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 : 95.0 210.0 500.0 95.0 : 115.0 405.0 500.0 210.0: 290.0 385.0 500.0 500.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 95.0000 .. 290.0000 cents 195.00000 cents 95.00000 cents 2: 210.0000 .. 405.0000 cents 195.00000 cents -80.00000 cents
SHOW DATA
Number of notes : 3 -- Interval properties -- Smallest interval : 95.00000 cents, class 1 Average step (divided formal octave): 166.6667 cents Largest one step interval : 290.00000 cents Average / Smallest step : 1.754386 Largest / Average step : 1.740000 Largest / Smallest step : 3.052632 Median interval of one step : 115.00000 cents, amount: 1 Least squares average step : 143.92857 cents, oct.: 431.78571 cents Scale is not proper Scale has trivalence property Scale is a mode of a 100-tone equal temperament with octave 500.000 cents degrees: 19 42 100 Least number of segments generator : 51 of 255.000 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 71 of 355.000 cents and inv. generated superset size: 14 = 11 more = 466.667% Number of contiguous 1-step segments: 0 Step pattern alph. order: ABC Step pattern size order : SML Interval vector is [ 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 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 ] Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 80.00000 cents Scale diversity : 1.121095 Lumma stability : 0.380000 Lumma impropriety factor : 0.160000 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 : 20.00000 cents Number of recognisable fifths : 0 Number of recognisable fourths : 0 Steps are strictly increasing Formal octave complements present : 1 = 33.3333% 2/1 octave complements present : 0 = 0.0000% Limited inverse transpositions with margin 175.0000 cents: 2 -- Rational properties --
FIT/MODE
3: 0 1 2 N G T3 SD: 60.2848 c. M: 95.0000 c. 4: 1 1 2 P M ME S SD: 28.8675 c. M:-40.0000 c. 5: 1 1 3 N M DE S SD: 6.4550 c. M: 10.0000 c. 12: 2 3 7 N T3 SD: 6.8041 c. M: 11.6667 c. 14: 3 3 8 N M DE S SD: 7.4345 c. M:-12.1429 c. 16: 3 4 9 N T3 SD: 5.1031 c. M:-8.7500 c. 17: 3 4 10 N T3 SD: 4.5722 c. M: 6.7647 c. 21: 4 5 12 N T3 SD: 2.4782 c. M:-4.2857 c. 26: 5 6 15 N T3 SD: 1.1103 c. M:-1.5385 c. 31: 6 7 18 N T3 SD: 1.0411 c. M:-1.7742 c. 57: 11 13 33 N T3 SD: 0.9130 c. M:-1.4912 c. 64: 12 15 37 N T3 SD: 0.9021 c. M: 1.2500 c. 69: 13 16 40 N T3 SD: 0.4678 c. M: 0.7971 c. 74: 14 17 43 N T3 SD: 0.3901 c. M: 0.5405 c. 95: 18 22 55 N T3 SD: 0.3397 c. M:-0.5263 c. 100: 19 23 58 N T3 SD: 0.0000 c. M:-0.0000 c.
FIT/HARMONIC
1 x x 2 S SD: 700.0000 cents 2 x x 3 S SD: 201.9550 cents 3 x x 4 S SD: 1.9550 cents 4 x x 5 S SD: 113.6863 cents 5 x 6:7 S SD: 67.0230 cents 6 x 7:8 S SD: 28.4522 cents 7 x 8:9 S SD: 34.1409 cents 8 x 9:11 SD: 25.8390 cents 9 x 10:12 S SD: 13.8327 cents 10 x 11:13 SD: 32.0974 cents 11:12 x 15 S SD: 33.3948 cents 12:13:14:16 S SD: 23.8903 cents 13:14:15:17 SD: 20.5441 cents 14:15:16:19 SD: 14.4097 cents 15:16:17:20 SD: 6.0412 cents 32:34:36:43 SD: 5.4656 cents 33:35:37:44 SD: 4.6341 cents 38:40:43:51 SD: 3.9830 cents 39:41:44:52 SD: 2.9074 cents 53:56:60:71 SD: 2.6064 cents 54:57:61:72 SD: 0.8701 cents 125:132:141:167 SD: 0.7377 cents 140:148:158:187 SD: 0.5868 cents 179:189:202:239 SD: 0.4119 cents 194:205:219:259 SD: 0.1913 cents 248:262:280:331 SD: 0.0819 cents