Scala analysis: 644_T51

  0:          1/1               0.000000 unison, perfect prime
  1:         83.333 cents      83.333330
  2:        266.667 cents     266.666670
  3:        500.000 cents     500.000000

  0:        233.3333 cents    233.3333
  1:         83.3333 cents     83.3333
  2:        183.3333 cents    183.3333
  3:        233.3333 cents    233.3333

Interval class, Number of incidences, Size:
  1:   1 83.33333 cents
  1:   1 183.33334 cents
  1:   1 233.33333 cents
  2:   1 266.66667 cents
  2:   1 316.66666 cents
  2:   1 416.66667 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  : 83.3  266.7 500.0
 83.3 : 183.3 416.7 500.0
 266.7: 233.3 316.7 500.0
 500.0

Interval class, Interval span, Span size, Gap to prev. class:
  1:  83.3333   .. 233.3333 cents      150.00000 cents                    83.33333 cents
  2:  266.6667  .. 416.6667 cents      150.00000 cents                    33.33334 cents

Number of notes                     : 3
-- Interval properties --
Smallest interval                   : 83.33333 cents, class 1
Average step (divided formal octave): 166.6667 cents
Largest one step interval           : 233.33333 cents
Average / Smallest step             : 2.000000
Largest / Average step              : 1.400000
Largest / Smallest step             : 2.800000
Median interval of one step         : 183.33334 cents, amount: 1
Least squares average step          : 151.19048 cents, oct.:  453.57143 cents
Scale is strictly proper
Scale has trivalence property
Scale is a mode of a 30-tone equal temperament with octave  500.000 cents
  degrees: 5 16 30
Least number of segments generator  : 17 of 283.333 cents and inv.
  number of contiguous generator circle segments: 1
Shortest superset generator         : 19 of 316.667 cents and inv.
  generated superset size: 6 = 3 more = 200.000%
Number of contiguous 1-step segments: 0
Step pattern alph. order: ABC
Step pattern size order : SML
Interval vector is [ 0 0 0 0 1 0 0 0 0 0 1 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                     : 1.078374
Rothenberg stability                : 1.000000 = 1
Lumma stability                     : 0.400000
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: 75.1542 c. M: 100.0000 c. 
  4:  1 1 2   P M ME S SD: 25.9094 c. M:-41.6667 c. 
  5:  1 2 2  SP M ME S SD: 21.5166 c. M:-33.3333 c. 
  6:  1 2 3   P   T3   SD: 9.6225 c. M: 16.6667 c. 
 11:  2 4 5  SP   T3   SD: 5.6013 c. M:-7.5758 c. 
 13:  2 5 6  SP   T3   SD: 3.9861 c. M: 6.4103 c. 
 17:  3 6 8  SP   T3   SD: 3.0482 c. M:-4.9020 c. 
 19:  3 7 9  SP   T3   SD: 3.2428 c. M: 4.3860 c. 
 24:  4 9 11  SP   T3   SD: 2.4056 c. M:-4.1667 c. 
 30:  5 11 14  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: 35.2215 cents
 11:12:13:15    SD: 26.6736 cents
 12:13:14:16  S SD: 18.4248 cents
 16:17:19:21    SD: 15.8912 cents
 17:18:20:23    SD: 10.5601 cents
 18:19:21:24    SD: 3.4854 cents
 42:44:49:56    SD: 1.1393 cents
 60:63:70:80  S SD: 0.7564 cents
 102:107:119:136    SD: 0.6747 cents
 161:169:188:215    SD: 0.6623 cents
 162:170:189:216    SD: 0.6563 cents
 185:194:216:247    SD: 0.6430 cents
 203:213:237:271    SD: 0.4785 cents
 245:257:286:327    SD: 0.4485 cents
 263:276:307:351    SD: 0.4004 cents
 305:320:356:407    SD: 0.3895 cents
 325:341:379:434    SD: 0.3032 cents
 343:360:400:458    SD: 0.2904 cents
 367:385:428:490    SD: 0.2528 cents
 385:404:449:514    SD: 0.1768 cents
 427:448:498:570    SD: 0.1466 cents
 445:467:519:594    SD: 0.1361 cents
 487:511:568:650    SD: 0.1187 cents
 588:617:686:785    SD: 0.1081 cents