Scala analysis: 694_S3

  0:          1/1               0.000000 unison, perfect prime
  1:         49.804 cents      49.804500
  2:         99.609 cents      99.609000
  3:          4/3             498.044999 perfect fourth

  0:        398.4360 cents    398.4360
  1:         49.8045 cents     49.8045
  2:         49.8045 cents     49.8045
  3:        398.4360 cents    398.4360

Interval class, Number of incidences, Size:
  1:   2 49.80450 cents
  1:   1 398.43600 cents
  2:   1 99.60900 cents
  2:   2 448.24050 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  : 49.8  99.6  498.0
 49.8 : 49.8  448.2 498.0
 99.6 : 398.4 448.2 498.0
 498.0

Interval class, Interval span, Span size, Gap to prev. class:
  1:  49.8045   .. 398.4360 cents      348.63150 cents                    49.80450 cents
  2:  99.6090   .. 448.2405 cents      348.63150 cents                   -298.82700 cents

Number of notes                     : 3
-- Interval properties --
Smallest interval                   : 49.80450 cents, class 1
Average step (divided formal octave): 166.0150 cents
Largest one step interval           : 398.43600 cents
Average / Smallest step             : 3.333333
Largest / Average step              : 2.400000
Largest / Smallest step             : 8.000000
Median interval of one step         : 49.80450 cents, amount: 2
Most common interval of one step    : 49.80450 cents, amount: 2
Least squares average step          : 124.51125 cents, oct.:  373.53375 cents
Scale is not proper
Scale has Myhill's property
  chromas: 348.63150 cents and 298.82700 cents, ratio: 1.166667
  generators: 1 of 49.80450 cents and 448.24050 cents
ET pair of linear temperament       : 20&20
Scale is distributional even
Scale is a mode of a 10-tone equal temperament with octave  4/3
  degrees: 1 2 10
  generators: 1 and 9
Number of contiguous 1-step segments: 1
Step pattern alph. order: AAB
Step pattern size order : SSL
Interval vector is [ 2 1 0 0 0 ]
Scale is sum-free (all different intervals)
Scale is a Constant Structure, by a margin of 49.80450 cents
Scale diversity                     : 0.427541
Lumma stability                     : 0.200000
Lumma impropriety factor            : 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        : 49.80450 cents
Most common intervals               : 49.80450 cents & inv., amount: 2
Number of recognisable fifths       : 0
Number of recognisable fourths      : 0
Steps are increasing
Formal octave complements present   : 1 = 33.3333%
2/1 octave complements present      : 0 = 0.0000%
Limited inverse transpositions      :
 2
Inversional symmetry on degrees     :
 1
Inversional symmetry on intervals   :
 2-3
-- Rational properties --
Prime limit                         : 3 (not all pitches rational)

  3:  0 0 3   N M DE S SD: 64.2973 c. M: 99.6090 c. 
  4:  0 1 3   N G T3   SD: 32.1487 c. M: 49.8045 c. 
  5:  0 1 4   N G T3   SD: 28.7546 c. M: 49.8045 c. 
  6:  0 1 5   N G T3   SD: 30.3101 c. M: 49.8045 c. 
  7:  1 0 6   N G T3   SD: 20.5390 c. M: 28.4597 c. 
  8:  1 1 6   N M DE S SD: 16.0743 c. M:-24.9022 c. 
  9:  1 1 7   N M DE S SD: 7.1441 c. M:-11.0677 c. 
 10:  1 1 8   N M DE S 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 x 7    SD: 84.4672 cents
 6 x 7:8  S SD: 83.6310 cents
 7 x 8:9  S SD: 72.9271 cents
 8 x 9:11    SD: 58.5592 cents
 9 x 10:12  S SD: 41.3974 cents
 10 x 11:13    SD: 39.3627 cents
 11 x 12:15  S SD: 32.0840 cents
 12 x 13:16    SD: 19.4818 cents
 13 x 14:17    SD: 22.0975 cents
 14 x 15:19    SD: 18.2505 cents
 15 x 16:20  S SD: 6.0611 cents
 16 x 17:21    SD: 13.8917 cents
 17 x 18:23    SD: 12.6412 cents
 18 x 19:24    SD: 3.0030 cents
 19 x 20:25  S SD: 12.6751 cents
 20 x 21:27    SD: 13.1510 cents
 21 x 22:28    SD: 9.5360 cents
 22 x 23:29    SD: 15.0384 cents
 23:24 x 31    SD: 15.1688 cents
 24:25 x 32    SD: 10.4340 cents
 25:26 x 33    SD: 12.5519 cents
 26:27:28:35  S SD: 12.1966 cents
 27:28:29:36    SD: 9.1534 cents
 29:30:31:39    SD: 7.8246 cents
 30:31:32:40  S SD: 4.6598 cents
 33:34:35:44    SD: 0.9789 cents
 69:71:73:92    SD: 0.6922 cents
 102:105:108:136    SD: 0.2522 cents
 135:139:143:180    SD: 0.2494 cents
 237:244:251:316    SD: 0.2129 cents
 576:593:610:768    SD: 0.2126 cents