Scala analysis: 652_T59

  0:          1/1               0.000000 unison, perfect prime
  1:        100.000 cents     100.000000
  2:        300.000 cents     300.000000
  3:        500.000 cents     500.000000

  0:        200.0000 cents    200.0000
  1:        100.0000 cents    100.0000
  2:        200.0000 cents    200.0000
  3:        200.0000 cents    200.0000

Interval class, Number of incidences, Size:
  1:   1 100.00000 cents
  1:   2 200.00000 cents
  2:   2 300.00000 cents
  2:   1 400.00000 cents
Highest number of different intervals for one interval class: 2
Average number of different intervals per interval class: 2.00000 = 2

        1     2     3    
 0.0  : 100.0 300.0 500.0
 100.0: 200.0 400.0 500.0
 300.0: 200.0 300.0 500.0
 500.0

Interval class, Interval span, Span size, Gap to prev. class:
  1:  100.0000  .. 200.0000 cents      100.00000 cents                    100.00000 cents
  2:  300.0000  .. 400.0000 cents      100.00000 cents                    100.00000 cents

Number of notes                     : 3
-- Interval properties --
Smallest interval                   : 100.00000 cents, class 1
Average step (divided formal octave): 166.6667 cents
Largest one step interval           : 200.00000 cents
Average / Smallest step             : 1.666667
Largest / Average step              : 1.200000
Largest / Smallest step             : 2.000000
Median interval of one step         : 200.00000 cents, amount: 2
Most common interval of one step    : 200.00000 cents, amount: 2
Least squares average step          : 157.14286 cents, oct.:  471.42857 cents
Scale is strictly proper
Scale has Myhill's property
  chromas: 100.00000 cents and 1/1, 0.0000 cents
  generators: 200.00000 cents and 2 of 300.00000 cents
Scale is maximally even in 5-tone equal temperament
ET pair of linear temperament       : 10&10
Scale is maximally even for L / S <= 2
Scale is distributional even
Scale is a mode of a 5-tone equal temperament with octave  500.000 cents
  degrees: 1 3 5
  generators: 2 and 3
Number of contiguous 1-step segments: 1
Scale is a Winograd/Gamer deep scale
Step pattern alph. order: ABB
Step pattern size order : SLL
Interval vector is [ 1 2 ]
Scale is sum-free (all different intervals)
Scale is a Constant Structure, by a margin of 100.00000 cents
Scale diversity                     : 1.075073
Rothenberg stability                : 1.000000 = 1
Lumma stability                     : 0.600000
Rothenberg efficiency               : 0.888889   redundancy: 0.111111
Efficiency x scale size             : 2.666667
Number of different interval sizes  : 4 = 2.00000 / class
Number of one step interval sizes   : 2
Highest interval variety            : 2
Mean interval variety               : 2.00000 = 2
Median interval variety             : 2
Lowest interval variety             : 2
Smallest interval difference        : 100.00000 cents
Most common intervals               : 200.00000 cents & inv., amount: 2
Number of recognisable fifths       : 0
Number of recognisable fourths      : 0
Best major thirds form a closed circle
Best minor thirds form a closed circle
Steps are increasing
Formal octave complements present   : 1 = 33.3333%
2/1 octave complements present      : 0 = 0.0000%
Limited inverse transpositions      :
 1
Inversional symmetry on degrees     :
 2
Inversional symmetry on intervals   :
 0-1
-- Rational properties --

  3:  1 1 1  SP B ME I SD: 43.0331 c. M:-66.6667 c. 
  4:  1 1 2   P M ME S SD: 32.2749 c. M: 50.0000 c. 
  5:  1 2 2  SP M ME S SD: 0.0000 c. M: 0.0000 c. 

 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 5 x  S SD: 86.3137 cents
 5 x 6:7  S SD: 41.9908 cents
 6 x 7:8  S SD: 16.5934 cents
 7 x 8:9  S SD: 47.3051 cents
 8 x 10:11  S SD: 50.2085 cents
 9:10:11:12  H SD: 31.6960 cents
 10:11:12:13  H SD: 27.0114 cents
 11:12:13:15    SD: 21.2025 cents
 12:13:14:16  S SD: 16.9614 cents
 14:15:17:19    SD: 16.6877 cents
 15:16:18:20  S SD: 6.5498 cents
 21:22:25:28    SD: 6.5493 cents
 31:33:37:41    SD: 6.3490 cents
 32:34:38:43    SD: 4.2609 cents
 33:35:39:44    SD: 3.7079 cents
 36:38:43:48    SD: 3.3767 cents
 48:51:57:64    SD: 1.9597 cents
 68:72:81:91    SD: 1.7840 cents
 69:73:82:92    SD: 1.1124 cents
 84:89:100:112    SD: 0.8970 cents
 116:123:138:155    SD: 0.7916 cents
 137:145:163:183    SD: 0.7597 cents
 153:162:182:204    SD: 0.7567 cents
 170:180:202:227    SD: 0.6185 cents
 185:196:220:247    SD: 0.1280 cents
 454:481:540:606    SD: 0.1082 cents