Scala analysis: 722_S31

  0:          1/1               0.000000 unison, perfect prime
  1:        166.015 cents     166.015000
  2:        332.030 cents     332.030000
  3:          4/3             498.044999 perfect fourth

  0:        166.0150 cents    166.0150
  1:        166.0150 cents    166.0150
  2:        166.0150 cents    166.0150
  3:        166.0150 cents    166.0150

Interval class, Number of incidences, Size:
  1:   3 166.01500 cents
  2:   3 332.03000 cents
Only one interval per interval class, scale is equal tempered
Average number of different intervals per interval class: 1.00000 = 1

        1     2     3    
 0.0  : 166.0 332.0 498.0
 166.0: 166.0 332.0 498.0
 332.0: 166.0 332.0 498.0
 498.0

Interval class, Interval span, Span size, Gap to prev. class:
  1:  166.0150  .. 166.0150 cents      1/1, 0.0000 cents                  166.01500 cents
  2:  332.0300  .. 332.0300 cents      1/1, 0.0000 cents                  166.01500 cents

Number of notes                     : 3
-- Interval properties --
Smallest interval                   : 166.01500 cents, class 1
Average step (divided formal octave): 166.0150 cents
Largest one step interval           : 166.01500 cents
Average / Smallest step             : 1.000000
Largest / Average step              : 1.000000
Largest / Smallest step             : 1.000000
Median interval of one step         : 166.01500 cents, amount: 3
Most common interval of one step    : 166.01500 cents, amount: 3
Least squares average step          : 166.01500 cents, oct.:  498.04500 cents
Scale is strictly proper
Scale is equal tempered
Scale is maximally even for L / S <= 2
Scale is distributional even
Scale is a Constant Structure, by a margin of 166.01500 cents
Scale diversity                     : 1.000000
Rothenberg stability                : 1.000000 = 1
Lumma stability                     : 1.000000
Rothenberg efficiency               : 0.333333   redundancy: 0.666667
Efficiency x scale size             : 1.000000
Number of different interval sizes  : 2 = 1.00000 / class
Number of one step interval sizes   : 1
Mean interval variety               : 1.00000 = 1
Lowest interval variety             : 1
Number of recognisable fifths       : 0
Number of recognisable fourths      : 3, average 498.0450 cents
Best fifths form a closed circle
Best major thirds form a closed circle
Best minor thirds form a closed circle
Limited transpositions              : all
Inversional symmetry on degrees     : all
Inversional symmetry on intervals   : all
-- Rational properties --
Prime limit                         : 3 (not all pitches rational)

  3:  1 1 1  SP B ME I SD: 0.0000 c. M: 0.0000 c. 

 1 x x 2  S SD: 701.9550 cents
 2 x x 3  S SD: 203.9100 cents
 3 x x 4  S SD: 0.0000 cents
 4 x 5 x  S SD: 54.2837 cents
 5 x 6:7  S SD: 43.0212 cents
 6 x 7:8  S SD: 32.5795 cents
 7:8 x 9  S SD: 45.3039 cents
 8:9:10:11  H SD: 28.3250 cents
 9:10:11:12  H SD: 7.4913 cents
 28:31:34:37    SD: 6.3405 cents
 29:32:35:39    SD: 5.5985 cents
 30:33:36:40  S SD: 5.4733 cents
 33:36:40:44  S SD: 5.1370 cents
 38:42:46:51    SD: 4.5104 cents
 39:43:47:52    SD: 3.1663 cents
 42:46:51:56    SD: 3.1521 cents
 48:53:58:64    SD: 2.3584 cents
 71:78:86:95    SD: 2.2973 cents
 80:88:97:107    SD: 1.9034 cents
 81:89:98:108    SD: 1.2276 cents
 90:99:109:120    SD: 0.3665 cents
 189:208:229:252    SD: 0.1232 cents
 516:568:625:688    SD: 0.1080 cents