Scala analysis: 645_T52

  0:          1/1               0.000000 unison, perfect prime
  1:         88.889 cents      88.888890
  2:        266.667 cents     266.666670
  3:        500.000 cents     500.000000

  0:        233.3333 cents    233.3333
  1:         88.8889 cents     88.8889
  2:        177.7778 cents    177.7778
  3:        233.3333 cents    233.3333

Interval class, Number of incidences, Size:
  1:   1 88.88889 cents
  1:   1 177.77778 cents
  1:   1 233.33333 cents
  2:   1 266.66667 cents
  2:   1 322.22222 cents
  2:   1 411.11111 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  : 88.9  266.7 500.0
 88.9 : 177.8 411.1 500.0
 266.7: 233.3 322.2 500.0
 500.0

Interval class, Interval span, Span size, Gap to prev. class:
  1:  88.8889   .. 233.3333 cents      144.44444 cents                    88.88889 cents
  2:  266.6667  .. 411.1111 cents      144.44444 cents                    33.33334 cents

Number of notes                     : 3
-- Interval properties --
Smallest interval                   : 88.88889 cents, class 1
Average step (divided formal octave): 166.6667 cents
Largest one step interval           : 233.33333 cents
Average / Smallest step             : 1.875000
Largest / Average step              : 1.400000
Largest / Smallest step             : 2.625000
Median interval of one step         : 177.77778 cents, amount: 1
Least squares average step          : 151.58730 cents, oct.:  454.76191 cents
Scale is strictly proper
Scale has trivalence property
Scale is a mode of a 45-tone equal temperament with octave  500.000 cents
  degrees: 8 24 45
Least number of segments generator  : 23 of 255.556 cents and inv.
  number of contiguous generator circle segments: 1
Shortest superset generator         : 37 of 411.111 cents and inv.
  generated superset size: 4 = 1 more = 133.333%
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 1 0 0 0 0 0 0 0 1 0 0 0 0 1 0 ]
Scale is sum-free (all different intervals)
Scale is a Constant Structure, by a margin of 33.33334 cents
Scale diversity                     : 1.131716
Rothenberg stability                : 1.000000 = 1
Lumma stability                     : 0.422222
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        : 33.33334 cents
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   : 1 = 33.3333%
2/1 octave complements present      : 0 = 0.0000%
-- Rational properties --

  3:  0 1 2   N G T3   SD: 77.2469 c. M: 100.0000 c. 
  4:  1 1 2   P M ME S SD: 22.9622 c. M:-36.1111 c. 
  5:  1 2 2  SP M ME S SD: 20.2860 c. M:-33.3333 c. 
  6:  1 2 3   P   T3   SD: 10.1430 c. M: 16.6667 c. 
 10:  2 3 5   P   T3   SD: 11.5648 c. M: 16.6667 c. 
 11:  2 4 5  SP   T3   SD: 3.6884 c. M:-6.0606 c. 
 17:  3 6 8  SP   T3   SD: 1.1933 c. M: 1.9608 c. 
 28:  5 10 13  SP   T3   SD: 0.7245 c. M:-1.1905 c. 
 45:  8 16 21  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 x 5  S SD: 113.6863 cents
 5 x 6:7  S SD: 47.9760 cents
 6 x 7:8  S SD: 0.9828 cents
 7 x 8:9  S SD: 36.9926 cents
 8 x 9:11    SD: 40.5337 cents
 9 x 11:12    SD: 40.3825 cents
 10:11:12:13  H SD: 33.8106 cents
 11:12:13:15    SD: 25.1360 cents
 12:13:14:16  S SD: 16.5742 cents
 16:17:19:21    SD: 15.1415 cents
 17:18:20:23    SD: 9.7806 cents
 18:19:21:24    SD: 1.7025 cents
 60:63:70:80  S SD: 1.6130 cents
 78:82:91:104    SD: 1.0108 cents
 96:101:112:128    SD: 0.7336 cents
 114:120:133:152    SD: 0.6559 cents
 191:201:223:255    SD: 0.5411 cents
 209:220:244:279    SD: 0.4649 cents
 227:239:265:303    SD: 0.4424 cents
 305:321:356:407    SD: 0.4023 cents
 323:340:377:431    SD: 0.3840 cents
 325:342:379:434    SD: 0.3643 cents
 343:361:400:458    SD: 0.2798 cents
 361:380:421:482    SD: 0.2195 cents
 379:399:442:506    SD: 0.1909 cents
 457:481:533:610    SD: 0.1470 cents
 475:500:554:634    SD: 0.1182 cents
 588:619:686:785    SD: 0.1098 cents