Scala analysis: 673_T80
Tempered tetrachord in cents 66.7 + 266.7 + 166.7, Chapter 5
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 66.700 cents 66.700000 2: 333.400 cents 333.400000 3: 500.100 cents 500.100000
SHOW/INTERVAL
0: 166.7000 cents 166.7000 1: 66.7000 cents 66.7000 2: 266.7000 cents 266.7000 3: 166.7000 cents 166.7000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 66.70000 cents 1: 1 166.70000 cents 1: 1 266.70000 cents 2: 1 233.40000 cents 2: 1 333.40000 cents 2: 1 433.40000 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 : 66.7 333.4 500.1 66.7 : 266.7 433.4 500.1 333.4: 166.7 233.4 500.1 500.1
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 66.7000 .. 266.7000 cents 200.00000 cents 66.70000 cents 2: 233.4000 .. 433.4000 cents 200.00000 cents -33.30000 cents
SHOW DATA
Number of notes : 3 -- Interval properties -- Smallest interval : 66.70000 cents, class 1 Average step (divided formal octave): 166.7000 cents Largest one step interval : 266.70000 cents Average / Smallest step : 2.499250 Largest / Average step : 1.599880 Largest / Smallest step : 3.998501 Median interval of one step : 166.70000 cents, amount: 1 Least squares average step : 159.55714 cents, oct.: 478.67143 cents Scale is not proper Scale has trivalence property Step pattern alph. order: ABC Step pattern size order : SLM Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 33.30000 cents Scale diversity : 0.981557 Lumma stability : 0.266747 Lumma impropriety factor : 0.066587 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 : 33.30000 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% -- Rational properties --
FIT/MODE
3: 0 2 1 N G T3 SD: 38.5093 c. M: 66.7000 c. 5: 1 2 2 SP M ME S SD: 27.2138 c. M: 33.3400 c. 6: 1 3 2 P T3 SD: 9.6129 c. M:-16.6500 c. 9: 1 5 3 N T3 SD: 6.4278 c. M: 11.1333 c. 15: 2 8 5 N T3 SD: 0.0115 c. M: 0.0200 c.
FIT/HARMONIC
1 x x 2 S SD: 699.9000 cents 2 x x 3 S SD: 201.8550 cents 3 x x 4 S SD: 2.0550 cents 4 x 5 x S SD: 52.9137 cents 5 x 6:7 S SD: 42.1519 cents 6 x 7:8 S SD: 33.2804 cents 7 x x 9 SD: 65.0159 cents 8 x 10:11 S SD: 36.8210 cents 10:11:12:13 H SD: 36.6434 cents 11:12:13:15 SD: 33.9218 cents 12:13:15:16 SD: 29.7578 cents 13:14:16:17 S SD: 25.2688 cents 14:15:17:19 SD: 20.0180 cents 15:16:18:20 S SD: 16.1500 cents 18:19:22:24 SD: 10.1336 cents 23:24:28:31 SD: 6.4762 cents 24:25:29:32 SD: 2.4355 cents 51:53:62:68 SD: 1.7179 cents 75:78:91:100 SD: 0.9155 cents 128:133:155:171 SD: 0.8223 cents 155:161:188:207 SD: 0.4731 cents 179:186:217:239 SD: 0.1590 cents 433:450:525:578 SD: 0.0515 cents