Scala analysis: fivelim

  0:          1/1               0.000000 unison, perfect prime
  1:          5/4             386.313714 major third
  2:          3/2             701.955001 perfect fifth
  3:          2/1            1200.000000 octave

  0:          4/3             498.0450 perfect fourth
  1:          5/4             386.3137 major third
  2:          6/5             315.6413 minor third
  3:          4/3             498.0450 perfect fourth

Interval class, Number of incidences, Size:
  1:   1 6/5                 315.641 cents  minor third
  1:   1 5/4                 386.314 cents  major third
  1:   1 4/3                 498.045 cents  perfect fourth
  2:   1 3/2                 701.955 cents  perfect fifth
  2:   1 8/5                 813.686 cents  minor sixth
  2:   1 5/3                 884.359 cents  major sixth, BP sixth
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   : 386.3 702.0 1200.0
 386.3 : 315.6 813.7 1200.0
 702.0 : 498.0 884.4 1200.0
 1200.0

Interval class, Interval span, Span size, Gap to prev. class:
  1:  315.6413  .. 498.0450 cents      10/9, 182.4037 cents               6/5, 315.6413 cents
  2:  701.9550  .. 884.3587 cents      10/9, 182.4037 cents               9/8, 203.9100 cents

Number of notes                     : 3
-- Interval properties --
Smallest interval                   : 6/5, 315.6413 cents, class 1
Average step (divided formal octave): 400.0000 cents
Largest one step interval           : 4/3, 498.0450 cents
Average / Smallest step             : 1.267261
Largest / Average step              : 1.245112
Largest / Smallest step             : 1.577883
Median interval of one step         : 5/4, 386.3137 cents, amount: 1
Least squares average step          : 385.01598 cents, oct.:  1155.04794 cents
Scale is strictly proper
Scale has trivalence property
Step pattern alph. order: ABC
Step pattern size order : MSL
Scale is sum-free (all different intervals)
Scale is a Constant Structure, by a margin of 203.91000 cents
Scale diversity                     : 1.504389
Rothenberg stability                : 1.000000 = 1
Lumma stability                     : 0.695994
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        : 25/24, 70.6724 cents
Number of recognisable fifths       : 1, average 701.9550 cents
Best fifths form a closed circle
Best major thirds form a closed circle
Best minor thirds form a closed circle
Scale is fully connected 5-limit major-minor triadic
All steps are superparticular (epimoric)
Scale is harmonic, base degree is   : 2
Length of longest subharmonic part  : 1 at degree 0
Formal octave complements present   : 1 = 33.3333%
Scale is differentially coherent
-- Rational properties --
Prime limit                         : 5
Odd number limit                    : 5 (O: 5 U: 5)
Highest odd numerator or denominator: 5
Scale harmonicity                   : 0.082873
Average absolute harmonicity        : 0.463925
Specific harmonicity                : 0.430107
Fundamental                         : 1/4, -2.0000 octaves, 65.4064 Hz.
Guide tone                          : 30,  4.9069 octaves, 7848.767 Hz.
Exponens Consonantiae               : 1.200000E+02, 6.90689 octaves
Euler's gradus suavitatis           : 10
Sum of Mann's harmonic distance     : 8.5, average 2.83333
Mersenne's string divisions         : 45
Sum of van Prooijen's expressibility: 1.17609, average 0.39203
Sum of Tenney's harmonic distance   : 2.38021, average 0.79340
Vogel's harmonic complexity         : 4.00000
Wille's k value                     : 2
Wilson's harmonic complexity        : 8
Rectangular lattice diameter        : 2
Triangular lattice diameter         : 1
Lattice compactness                 : 11.78068, average 1.96345
Lattice compactness (without 2's)   : 5.41421, average 0.90237
Number of different primes          : 3
Prime exponents' range, average, count, tones@limit:
  2:  -2 .. 1        -0.66667   4     1
  3:   0 .. 1         0.33333   1     1
  5:   0 .. 1         0.33333   1     1
Average exponent except 2's         : 2 / 3 = 0.66667
Average absolute exponent except 2's: 2 / 3 = 0.66667
Scale is JI-epimorphic with val: <3 5 7| = patent

  3:  1 1 1  SP B ME I SD: 57.1552 c. M:-98.0450 c. 
  5:  2 1 2  SP M ME I SD: 55.0840 c. M:-93.6863 c. 
  7:  2 2 3  SP M ME S SD: 26.7845 c. M: 43.4566 c. 
  9:  3 2 4  SP   T3   SD: 21.8524 c. M: 35.2883 c. 
 10:  3 3 4  SP M ME S SD: 18.4213 c. M: 26.3137 c. 
 12:  4 3 5  SP   T3   SD: 7.9820 c. M:-13.6863 c.  Raga Malasri, Peruvian tritonic 1
 19:  6 5 8  SP   T3   SD: 5.9544 c. M: 7.3663 c. 
 22:  7 6 9  SP   T3   SD: 4.8693 c. M:-7.1359 c. 
 31:  10 8 13  SP   T3   SD: 3.0251 c. M: 5.1808 c. 
 34:  11 9 14  SP   T3   SD: 2.5243 c. M:-3.9274 c. 
 53:  17 14 22  SP   T3   SD: 0.8139 c. M: 1.4081 c. 
 65:  21 17 27  SP   T3   SD: 0.8315 c. M:-1.3786 c. 
 118: 38 31 49  SP   T3   SD: 0.1671 c. M: 0.2601 c. 
 289: 93 76 120  SP   T3   SD: 0.1575 c. M: 0.2249 c. 
 323: 104 85 134  SP   T3   SD: 0.1280 c. M:-0.2122 c. 
 376: 121 99 156  SP   T3   SD: 0.1296 c. M:-0.1727 c. 
 441: 142 116 183  SP   T3   SD: 0.0681 c. M:-0.0858 c. 
 494: 159 130 205  SP   T3   SD: 0.0606 c. M: 0.0789 c. 
 559: 180 147 232  SP   T3   SD: 0.0528 c. M:-0.0906 c. 
 612: 197 161 254  SP   T3   SD: 0.0229 c. M: 0.0392 c. 
 730: 235 192 303  SP   T3   SD: 0.0226 c. M: 0.0372 c. 
 1171: 377 308 486  SP   T3   SD: 0.0142 c. M:-0.0228 c. 
 1783: 574 469 740  SP   T3   SD: 0.0047 c. M:-0.0080 c. 

 1 x x 2  S SD: 0.0000 cents
 2 x 3:4  S SD: 0.0000 cents