Scala analysis: 653_T60

  0:          1/1               0.000000 unison, perfect prime
  1:        200.000 cents     200.000000
  2:        383.333 cents     383.333330
  3:        500.000 cents     500.000000

  0:        116.6667 cents    116.6667
  1:        200.0000 cents    200.0000
  2:        183.3333 cents    183.3333
  3:        116.6667 cents    116.6667

Interval class, Number of incidences, Size:
  1:   1 116.66667 cents
  1:   1 183.33333 cents
  1:   1 200.00000 cents
  2:   1 300.00000 cents
  2:   1 316.66667 cents
  2:   1 383.33333 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  : 200.0 383.3 500.0
 200.0: 183.3 300.0 500.0
 383.3: 116.7 316.7 500.0
 500.0

Interval class, Interval span, Span size, Gap to prev. class:
  1:  116.6667  .. 200.0000 cents      83.33333 cents                     116.66667 cents
  2:  300.0000  .. 383.3333 cents      83.33333 cents                     100.00000 cents

Number of notes                     : 3
-- Interval properties --
Smallest interval                   : 116.66667 cents, class 1
Average step (divided formal octave): 166.6667 cents
Largest one step interval           : 200.00000 cents
Average / Smallest step             : 1.428571
Largest / Average step              : 1.200000
Largest / Smallest step             : 1.714286
Median interval of one step         : 183.33333 cents, amount: 1
Least squares average step          : 176.19048 cents, oct.:  528.57143 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: 12 23 30
Least number of segments generator  : 17 of 283.333 cents and inv.
  number of contiguous generator circle segments: 1
Shortest superset generator         : 23 of 383.333 cents and inv.
  generated superset size: 8 = 5 more = 266.667%
Number of contiguous 1-step segments: 0
Step pattern alph. order: ABC
Step pattern size order : LMS
Interval vector is [ 0 0 0 0 0 0 1 0 0 0 1 1 0 0 0 ]
Scale is sum-free (all different intervals)
Scale is a Constant Structure, by a margin of 100.00000 cents
Scale diversity                     : 1.244826
Rothenberg stability                : 1.000000 = 1
Lumma stability                     : 0.666667
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        : 16.66667 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
Steps are strictly decreasing
Formal octave complements present   : 1 = 33.3333%
2/1 octave complements present      : 0 = 0.0000%
Limited inverse transpositions with margin 66.6667 cents:
 2
-- Rational properties --

  3:  1 1 1  SP B ME I SD: 34.6944 c. M: 50.0000 c. 
  4:  2 1 1   P M ME S SD: 29.2657 c. M:-50.0000 c. 
  5:  2 2 1  SP M ME S SD: 9.6225 c. M:-16.6667 c. 
  8:  3 3 2  SP M ME S SD: 8.6736 c. M: 12.5000 c. 
 12:  5 4 3  SP   T3   SD: 6.8041 c. M:-8.3333 c. 
 13:  5 5 3  SP M DE S SD: 4.5024 c. M: 7.6923 c. 
 17:  7 6 4  SP   T3   SD: 3.4430 c. M:-5.8824 c. 
 18:  7 7 4  SP M DE S SD: 4.5361 c. M:-5.5556 c. 
 22:  9 8 5  SP   T3   SD: 3.1540 c. M:-4.5455 c. 
 25:  10 9 6  SP   T3   SD: 1.9245 c. M: 3.3333 c. 
 30:  12 11 7  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: 2.9804 cents
 5 x 6:7  S SD: 53.3631 cents
 6:7 x 8  S SD: 33.4497 cents
 7:8:9 x  S SD: 30.2075 cents
 8:9:10:11  H SD: 17.1843 cents
 9:10:11:12  H SD: 13.3503 cents
 15:17:19:20    SD: 10.2937 cents
 16:18:20:21  S SD: 9.8766 cents
 23:26:29:31    SD: 9.1529 cents
 24:27:30:32  S SD: 1.7636 cents
 57:64:71:76    SD: 1.2358 cents
 81:91:101:108    SD: 0.9347 cents
 146:164:182:195    SD: 0.8003 cents
 170:191:212:227    SD: 0.6880 cents
 173:194:216:231    SD: 0.6670 cents
 197:221:246:263    SD: 0.5281 cents
 221:248:276:295    SD: 0.4940 cents
 230:258:287:307    SD: 0.3728 cents
 254:285:317:339    SD: 0.2441 cents
 278:312:347:371    SD: 0.2255 cents
 343:385:428:458    SD: 0.1898 cents
 367:412:458:490    SD: 0.1632 cents
 424:476:529:566    SD: 0.1364 cents
 597:670:745:797    SD: 0.1222 cents