Scala analysis: 689_T96

  0:          1/1               0.000000 unison, perfect prime
  1:        212.500 cents     212.500000
  2:        350.000 cents     350.000000
  3:        500.000 cents     500.000000

  0:        150.0000 cents    150.0000
  1:        212.5000 cents    212.5000
  2:        137.5000 cents    137.5000
  3:        150.0000 cents    150.0000

Interval class, Number of incidences, Size:
  1:   1 137.50000 cents
  1:   1 150.00000 cents
  1:   1 212.50000 cents
  2:   1 287.50000 cents
  2:   1 350.00000 cents
  2:   1 362.50000 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  : 212.5 350.0 500.0
 212.5: 137.5 287.5 500.0
 350.0: 150.0 362.5 500.0
 500.0

Interval class, Interval span, Span size, Gap to prev. class:
  1:  137.5000  .. 212.5000 cents      75.00000 cents                     137.50000 cents
  2:  287.5000  .. 362.5000 cents      75.00000 cents                     75.00000 cents

Number of notes                     : 3
-- Interval properties --
Smallest interval                   : 137.50000 cents, class 1
Average step (divided formal octave): 166.6667 cents
Largest one step interval           : 212.50000 cents
Average / Smallest step             : 1.212121
Largest / Average step              : 1.275000
Largest / Smallest step             : 1.545455
Median interval of one step         : 150.00000 cents, amount: 1
Least squares average step          : 172.32143 cents, oct.:  516.96429 cents
Scale is strictly proper
Scale has trivalence property
Scale is a mode of a 40-tone equal temperament with octave  500.000 cents
  degrees: 17 28 40
Least number of segments generator  : 21 of 262.500 cents and inv.
  number of contiguous generator circle segments: 1
Shortest superset generator         : 23 of 287.500 cents and inv.
  generated superset size: 5 = 2 more = 166.667%
Number of contiguous 1-step segments: 0
Step pattern alph. order: ABC
Step pattern size order : LSM
Interval vector is [ 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 1 0 0 0 ]
Scale is sum-free (all different intervals)
Scale is a Constant Structure, by a margin of 75.00000 cents
Scale diversity                     : 1.354958
Rothenberg stability                : 1.000000 = 1
Lumma stability                     : 0.700000
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        : 12.50000 cents
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   : 1 = 33.3333%
2/1 octave complements present      : 0 = 0.0000%
Limited inverse transpositions with margin 75.0000 cents:
 1
-- Rational properties --

  3:  1 1 1  SP B ME I SD: 28.1571 c. M: 45.8333 c. 
  4:  2 1 1   P M ME S SD: 26.0208 c. M:-37.5000 c. 
  7:  3 2 2  SP M ME S SD: 4.2509 c. M:-7.1429 c. 
 16:  7 4 5  SP   T3   SD: 5.1031 c. M: 6.2500 c. 
 17:  7 5 5  SP M DE S SD: 4.1811 c. M: 6.6176 c. 
 23:  10 6 7  SP   T3   SD: 3.0903 c. M:-4.8913 c. 
 24:  10 7 7  SP M DE S SD: 3.4021 c. M: 4.1667 c. 
 26:  11 7 8  SP   T3   SD: 2.2889 c. M: 3.8462 c. 
 33:  14 9 10  SP   T3   SD: 0.9017 c. M: 1.5152 c. 
 40:  17 11 12  SP   T3   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: 36.3137 cents
 5 x 6:7  S SD: 44.6900 cents
 6:7 x 8  S SD: 27.2030 cents
 7:8 x 9  S SD: 33.7742 cents
 8:9:10:11  H SD: 21.1503 cents
 9:10:11:12  H SD: 10.0903 cents
 21:24:26:28  S SD: 9.0828 cents
 22:25:27:29    SD: 7.9648 cents
 23:26:28:31    SD: 6.4142 cents
 30:34:37:40    SD: 4.6226 cents
 36:41:44:48    SD: 4.3541 cents
 39:44:48:52    SD: 3.4477 cents
 45:51:55:60    SD: 1.7660 cents
 54:61:66:72    SD: 1.1894 cents
 99:112:121:132    SD: 1.1424 cents
 107:121:131:143    SD: 0.7157 cents
 138:156:169:184    SD: 0.7122 cents
 152:172:186:203    SD: 0.6082 cents
 161:182:197:215    SD: 0.3338 cents
 245:277:300:327    SD: 0.2153 cents
 299:338:366:399    SD: 0.1887 cents
 406:459:497:542    SD: 0.0760 cents