Scala analysis: 720_S29

  0:          1/1               0.000000 unison, perfect prime
  1:        147.064 cents     147.064150
  2:        350.974 cents     350.974150
  3:        498.038 cents     498.038290

  0:        147.0641 cents    147.0641
  1:        147.0641 cents    147.0641
  2:        203.9100 cents    203.9100
  3:        147.0641 cents    147.0641

Interval class, Number of incidences, Size:
  1:   2 147.06415 cents
  1:   1 203.91000 cents
  2:   1 294.12829 cents
  2:   2 350.97415 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  : 147.1 351.0 498.0
 147.1: 203.9 351.0 498.0
 351.0: 147.1 294.1 498.0
 498.0

Interval class, Interval span, Span size, Gap to prev. class:
  1:  147.0641  .. 203.9100 cents      56.84585 cents                     147.06415 cents
  2:  294.1283  .. 350.9742 cents      56.84586 cents                     90.21829 cents

Number of notes                     : 3
-- Interval properties --
Smallest interval                   : 147.06414 cents, class 1
Average step (divided formal octave): 166.0128 cents
Largest one step interval           : 203.91000 cents
Average / Smallest step             : 1.128846
Largest / Average step              : 1.228279
Largest / Smallest step             : 1.386538
Median interval of one step         : 147.06415 cents, amount: 2
Most common interval of one step    : 147.06415 cents, amount: 2
Least squares average step          : 167.36624 cents, oct.:  502.09871 cents
Scale is strictly proper
Scale has Myhill's property
  chromas: 56.84585 cents and 90.21830 cents, ratio: 1.587069
  generators: 1 of 147.06415 cents and 2 of 350.97414 cents
ET pair of linear temperament       : 20&34
Scale is maximally even for L / S <= 2
Scale is distributional even
Scale is a mode of a 254-tone equal temperament with octave  498.038 cents
  degrees: 75 179 254
  generators: 75 and 179
Number of contiguous 1-step segments: 0
Step pattern alph. order: ABA
Step pattern size order : SLS
Scale is a Constant Structure, by a margin of 90.21829 cents
Scale diversity                     : 1.337838
Rothenberg stability                : 1.000000 = 1
Lumma stability                     : 0.771721
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        : 56.84585 cents
Most common intervals               : 147.06415 cents & inv., amount: 2
Number of recognisable fifths       : 0
Number of recognisable fourths      : 0
Best fifths form a closed circle
Best major thirds form a closed circle
Best minor thirds form a closed circle
Formal octave complements present   : 3 = 100.0000%
2/1 octave complements present      : 0 = 0.0000%
Inversional symmetry on degrees     :
 0
Inversional symmetry on intervals   :
 1-2
-- Rational properties --

  3:  1 1 1  SP B ME I SD: 15.4715 c. M: 18.9486 c. 
  7:  2 3 2  SP M ME I SD: 3.8926 c. M: 4.7675 c. 
 10:  3 4 3  SP M ME I SD: 1.9166 c. M: 2.3473 c. 
 17:  5 7 5  SP M DE I SD: 0.4754 c. M: 0.5823 c. 
 27:  8 11 8  SP M DE I SD: 0.4105 c. M: 0.5028 c. 
 44:  13 18 13  SP M DE I SD: 0.0682 c. M: 0.0835 c. 
 105: 31 43 31  SP M DE I SD: 0.0198 c. M: 0.0243 c. 
 149: 44 61 44  SP M DE I SD: 0.0062 c. M: 0.0076 c. 
 254: 75 104 75  SP M DE I SD: 0.0046 c. M: 0.0056 c. 
 403: 119 165 119  SP M DE I SD: 0.0006 c. M: 0.0007 c. 
 955: 282 391 282  SP M DE I SD: 0.0005 c. M: 0.0006 c. 
 1358: 401 556 401  SP M DE I SD: 0.0001 c. M: 0.0002 c. 
 1761: 520 721 520  SP M DE I SD: 0.0000 c. M: 0.0000 c. 

 1 x x 2  S SD: 701.9617 cents
 2 x x 3  S SD: 203.9167 cents
 3 x x 4  S SD: 0.0067 cents
 4 x 5 x  S SD: 35.3396 cents
 5 x 6:7  S SD: 45.7828 cents
 6 x 7:8  S SD: 42.0516 cents
 7:8 x 9  S SD: 52.5303 cents
 8:9:10:11  H SD: 28.5172 cents
 9:10:11:12  H SD: 11.8397 cents
 21:23:26:28    SD: 7.1584 cents
 22:24:27:29    SD: 6.8048 cents
 31:34:38:41    SD: 6.3583 cents
 32:35:39:43    SD: 5.9536 cents
 35:38:43:47    SD: 4.7516 cents
 36:39:44:48    SD: 3.0700 cents
 45:49:55:60    SD: 1.1949 cents
 102:111:125:136    SD: 0.4180 cents
 147:160:180:196    SD: 0.1684 cents
 396:431:485:528    SD: 0.1464 cents
 405:441:496:540    SD: 0.1237 cents
 507:552:621:676    SD: 0.0730 cents