Scala analysis: 682_T89

  0:          1/1               0.000000 unison, perfect prime
  1:        233.300 cents     233.300000
  2:        400.000 cents     400.000000
  3:        500.000 cents     500.000000

  0:        100.0000 cents    100.0000
  1:        233.3000 cents    233.3000
  2:        166.7000 cents    166.7000
  3:        100.0000 cents    100.0000

Interval class, Number of incidences, Size:
  1:   1 100.00000 cents
  1:   1 166.70000 cents
  1:   1 233.30000 cents
  2:   1 266.70000 cents
  2:   1 333.30000 cents
  2:   1 400.00000 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  : 233.3 400.0 500.0
 233.3: 166.7 266.7 500.0
 400.0: 100.0 333.3 500.0
 500.0

Interval class, Interval span, Span size, Gap to prev. class:
  1:  100.0000  .. 233.3000 cents      133.30000 cents                    100.00000 cents
  2:  266.7000  .. 400.0000 cents      133.30000 cents                    33.40000 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           : 233.30000 cents
Average / Smallest step             : 1.666667
Largest / Average step              : 1.399800
Largest / Smallest step             : 2.333000
Median interval of one step         : 166.70000 cents, amount: 1
Least squares average step          : 180.95000 cents, oct.:  542.85000 cents
Scale is strictly proper
Scale has trivalence property
Step pattern alph. order: ABC
Step pattern size order : LMS
Scale is sum-free (all different intervals)
Scale is a Constant Structure, by a margin of 33.40000 cents
Scale diversity                     : 1.217510
Rothenberg stability                : 1.000000 = 1
Lumma stability                     : 0.466800
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        : 33.40000 cents
Number of recognisable fifths       : 0
Number of recognisable fourths      : 0
Best fifths form a closed circle
Steps are strictly decreasing
Formal octave complements present   : 1 = 33.3333%
2/1 octave complements present      : 0 = 0.0000%
-- Rational properties --

  3:  1 1 1  SP B ME I SD: 54.4195 c. M: 66.6667 c. 
  4:  2 1 1   P M ME S SD: 17.3579 c. M: 25.0000 c. 
  5:  2 2 1  SP M ME S SD: 19.2258 c. M: 33.3000 c. 
  6:  3 2 1   P   T3   SD: 13.6219 c. M:-16.7000 c. 
  9:  4 3 2  SP   T3   SD: 9.0586 c. M: 11.1111 c. 
 11:  5 4 2  SP   T3   SD: 6.2974 c. M:-9.0909 c. 
 15:  7 5 3  SP   T3   SD: 0.0192 c. M:-0.0333 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: 13.6863 cents
 5:6 x 7  S SD: 58.2845 cents
 6:7 x 8  S SD: 16.8139 cents
 7:8:9 x  S SD: 17.5742 cents
 10:11 x 13    SD: 41.1117 cents
 11:13:14:15    SD: 23.0887 cents
 12:14:15:16  S SD: 12.1021 cents
 15:17:19:20    SD: 6.3708 cents
 27:31:34:36    SD: 2.0847 cents
 42:48:53:56    SD: 1.3233 cents
 69:79:87:92    SD: 0.8521 cents
 104:119:131:139    SD: 0.7473 cents
 131:150:165:175    SD: 0.6203 cents
 146:167:184:195    SD: 0.4300 cents
 173:198:218:231    SD: 0.2377 cents
 388:444:489:518    SD: 0.2029 cents
 493:564:621:658    SD: 0.1922 cents
 520:595:655:694    SD: 0.1711 cents
 562:643:708:750    SD: 0.1658 cents