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