Scala analysis: 679_T86

  0:          1/1               0.000000 unison, perfect prime
  1:        105.000 cents     105.000000
  2:        250.000 cents     250.000000
  3:        500.000 cents     500.000000

  0:        250.0000 cents    250.0000
  1:        105.0000 cents    105.0000
  2:        145.0000 cents    145.0000
  3:        250.0000 cents    250.0000

Interval class, Number of incidences, Size:
  1:   1 105.00000 cents
  1:   1 145.00000 cents
  1:   1 250.00000 cents
  2:   1 250.00000 cents
  2:   1 355.00000 cents
  2:   1 395.00000 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  : 105.0 250.0 500.0
 105.0: 145.0 395.0 500.0
 250.0: 250.0 355.0 500.0
 500.0

Interval class, Interval span, Span size, Gap to prev. class:
  1:  105.0000  .. 250.0000 cents      145.00000 cents                    105.00000 cents
  2:  250.0000  .. 395.0000 cents      145.00000 cents                    1/1, 0.0000 cents

Number of notes                     : 3
-- Interval properties --
Smallest interval                   : 105.00000 cents, class 1
Average step (divided formal octave): 166.6667 cents
Largest one step interval           : 250.00000 cents
Average / Smallest step             : 1.587302
Largest / Average step              : 1.500000
Largest / Smallest step             : 2.380952
Median interval of one step         : 145.00000 cents, amount: 1
Least squares average step          : 150.35714 cents, oct.:  451.07143 cents
Scale is proper
Scale has trivalence property
Scale is a mode of a 100-tone equal temperament with octave  500.000 cents
  degrees: 21 50 100
Least number of segments generator  : 51 of 255.000 cents and inv.
  number of contiguous generator circle segments: 1
Shortest superset generator         : 51 of 255.000 cents and inv.
  generated superset size: 51 = 48 more = 1700.000%
Number of contiguous 1-step segments: 0
Step pattern alph. order: ABC
Step pattern size order : SML
Interval vector is [ 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 ]
Scale is sum-free (all different intervals)
Scale is not a Constant Structure
Scale diversity                     : 1.144262
Rothenberg stability                : 0.666667 = 2/3
Lumma stability                     : 0.420000
Rothenberg efficiency               : 0.777778   redundancy: 0.222222
Efficiency x scale size             : 2.333333
Number of different interval sizes  : 5 = 2.50000 / 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        : 40.00000 cents
Most common intervals               : 250.00000 cents & inv., amount: 2
Number of recognisable fifths       : 0
Number of recognisable fourths      : 0
Best minor thirds form a closed circle
Steps are strictly increasing
Formal octave complements present   : 2 = 66.6667%
2/1 octave complements present      : 0 = 0.0000%
-- Rational properties --

  3:  0 1 2   N G T3   SD: 77.3939 c. M: 105.0000 c. 
  4:  1 1 2   P M ME S SD: 11.5470 c. M:-20.0000 c. 
 10:  2 3 5   P   T3   SD: 2.8868 c. M: 5.0000 c. 
 14:  3 4 7   P   T3   SD: 1.2372 c. M:-2.1429 c. 
 24:  5 7 12   P   T3   SD: 0.4811 c. M: 0.8333 c. 
 38:  8 11 19   P   T3   SD: 0.1519 c. M:-0.2632 c. 
 62:  13 18 31   P   T3   SD: 0.0931 c. M: 0.1613 c. 
 100: 21 29 50   P   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 x 5  S SD: 113.6863 cents
 5 x 6:7  S SD: 52.7187 cents
 6 x 7:8  S SD: 8.4919 cents
 7 x 8:9  S SD: 33.7953 cents
 8 x 9:11    SD: 34.4885 cents
 9 x 10:12  S SD: 33.8123 cents
 10:11:12:13  H SD: 33.3427 cents
 11:12:13:15    SD: 23.5360 cents
 12:13:14:16  S SD: 12.5414 cents
 14:15:16:19    SD: 12.4095 cents
 15:16:17:20    SD: 11.3476 cents
 18:19:21:24    SD: 6.8178 cents
 30:32:35:40    SD: 6.0897 cents
 32:34:37:43    SD: 3.8653 cents
 33:35:38:44    SD: 2.2808 cents
 51:54:59:68    SD: 2.2480 cents
 63:67:73:84    SD: 1.8806 cents
 65:69:75:87    SD: 1.8168 cents
 77:82:89:103    SD: 1.8034 cents
 78:83:90:104    SD: 1.3124 cents
 96:102:111:128    SD: 0.7910 cents
 128:136:148:171    SD: 0.6526 cents
 161:171:186:215    SD: 0.3342 cents
 206:219:238:275    SD: 0.3184 cents
 239:254:276:319    SD: 0.3026 cents
 257:273:297:343    SD: 0.2251 cents
 367:390:424:490    SD: 0.1561 cents
 463:492:535:618    SD: 0.1011 cents
 496:527:573:662    SD: 0.0906 cents