Scala analysis: 708_S17

  0:          1/1               0.000000 unison, perfect prime
  1:         99.609 cents      99.609000
  2:        249.023 cents     249.022500
  3:          4/3             498.044999 perfect fourth

  0:        249.0225 cents    249.0225
  1:         99.6090 cents     99.6090
  2:        149.4135 cents    149.4135
  3:        249.0225 cents    249.0225

Interval class, Number of incidences, Size:
  1:   1 99.60900 cents
  1:   1 149.41350 cents
  1:   1 249.02250 cents
  2:   1 249.02250 cents
  2:   1 348.63150 cents
  2:   1 398.43600 cents
Highest number of different intervals for one interval class: 3
Average number of different intervals per interval class: 3.00000 = 3

        1     2     3    
 0.0  : 99.6  249.0 498.0
 99.6 : 149.4 398.4 498.0
 249.0: 249.0 348.6 498.0
 498.0

Interval class, Interval span, Span size, Gap to prev. class:
  1:  99.6090   .. 249.0225 cents      149.41350 cents                    99.60900 cents
  2:  249.0225  .. 398.4360 cents      149.41350 cents                    0.00000 cents

Number of notes                     : 3
-- Interval properties --
Smallest interval                   : 99.60900 cents, class 1
Average step (divided formal octave): 166.0150 cents
Largest one step interval           : 249.02250 cents
Average / Smallest step             : 1.666667
Largest / Average step              : 1.500000
Largest / Smallest step             : 2.500000
Median interval of one step         : 149.41350 cents, amount: 1
Least squares average step          : 149.41350 cents, oct.:  448.24050 cents
Scale is proper
Scale has trivalence property
Scale is a mode of a 10-tone equal temperament with octave  4/3
  degrees: 2 5 10
Least number of segments generator  : 7 of 348.631 cents and inv.
  number of contiguous generator circle segments: 1
Shortest superset generator         : 7 of 348.631 cents and inv.
  generated superset size: 6 = 3 more = 200.000%
Number of contiguous 1-step segments: 0
Step pattern alph. order: ABC
Step pattern size order : SML
Interval vector is [ 0 1 1 0 1 ]
Scale is sum-free (all different intervals)
Scale is not a Constant Structure
Scale diversity                     : 1.132441
Rothenberg stability                : 0.666667 = 2/3
Lumma stability                     : 0.400000
Rothenberg efficiency               : 0.777778   redundancy: 0.222222
Efficiency x scale size             : 2.333333
Number of different interval sizes  : 5 = 2.50000 / 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        : 49.80450 cents
Most common intervals               : 249.02250 cents & inv., amount: 2
Number of recognisable fifths       : 0
Number of recognisable fourths      : 0
Best minor thirds form a closed circle
Steps are strictly increasing
Formal octave complements present   : 2 = 66.6667%
2/1 octave complements present      : 0 = 0.0000%
-- Rational properties --
Prime limit                         : 3 (not all pitches rational)

  3:  0 1 2   N G T3   SD: 74.8603 c. M: 99.6090 c. 
  4:  1 1 2   P M ME S SD: 14.3773 c. M:-24.9022 c. 
  6:  1 2 3   P   T3   SD: 9.5849 c. M: 16.6015 c. 
 10:  2 3 5   P   T3   SD: 0.0000 c. M: 0.0000 c. 

 1 x x 2  S SD: 701.9550 cents
 2 x x 3  S SD: 203.9100 cents
 3 x x 4  S SD: 0.0000 cents
 4 x x 5  S SD: 111.7313 cents
 5 x 6:7  S SD: 53.7884 cents
 6 x 7:8  S SD: 8.9242 cents
 7 x 8:9  S SD: 32.7209 cents
 8 x 9:11    SD: 34.9040 cents
 9 x 10:12  S SD: 33.3094 cents
 11:12:13:15    SD: 25.2378 cents
 12:13:14:16  S SD: 14.2857 cents
 14:15:16:19    SD: 13.5437 cents
 15:16:17:20    SD: 11.5111 cents
 18:19:21:24    SD: 6.2773 cents
 32:34:37:43    SD: 4.8932 cents
 33:35:38:44    SD: 1.7628 cents
 51:54:59:68    SD: 1.1014 cents
 84:89:97:112    SD: 0.1663 cents
 543:575:627:724    SD: 0.1591 cents
 576:610:665:768    SD: 0.1418 cents