Scala analysis: xen18-erlich-helmholtz-02

1L 1s MOS for Helmholtz, L=701.79, s=498.28

Generated by Scala: https://www.huygens-fokker.org/scala/

SHOW
  0:          1/1               0.000000 unison, perfect prime
  1:        498.280 cents     498.280000
  2:       1200.070 cents    1200.070000
SHOW/INTERVAL
  0:        701.7900 cents    701.7900
  1:        498.2800 cents    498.2800
  2:        701.7900 cents    701.7900
SHOW INTERVALS
Interval class, Number of incidences, Size:
  1:   1 498.28000 cents
  1:   1 701.79000 cents
Highest number of different intervals for one interval class: 2
Average number of different intervals per interval class: 2.00000 = 2
SHOW/LINE/CENTS INTERVALS
         1     2     
 0.0   : 498.3 1200.1
 498.3 : 701.8 1200.1
 1200.1
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class:
  1:  498.2800  .. 701.7900 cents      203.51000 cents                    498.28000 cents
SHOW DATA
Number of notes                     : 2
-- Interval properties --
Smallest interval                   : 498.28000 cents, class 1
Average step (divided formal octave): 600.0350 cents
Largest one step interval           : 701.79000 cents
Average / Smallest step             : 1.204212
Largest / Average step              : 1.169582
Largest / Smallest step             : 1.408425
Median interval of one step         : 600.03500 cents, amount: 0
Least squares average step          : 579.68400 cents, oct.:  1159.36800 cents
Scale is strictly proper
Scale has Myhill's property
  chromas: 203.51000 cents and 294.77000 cents, ratio: 1.448430
  generator: 1 of 498.28000 cents
ET pair of linear temperament       : 12&53
Scale is maximally even for L / S <= 2
Scale is distributional even
Scale is a mode of a 171-tone equal temperament with octave  1200.070 cents
  degrees: 71 171
  generator: 71
Number of contiguous 1-step segments: 0
Step pattern alph. order: AB
Step pattern size order : SL
Interval vector is [ 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 ]
Scale is a Constant Structure, by a margin of 498.28000 cents
Scale diversity                     : 1.420420
Rothenberg stability                : 1.000000 = 1
Lumma stability                     : 0.830418
Rothenberg efficiency               : 1.000000   redundancy: 0.000000
Efficiency x scale size             : 2.000000
Number of different interval sizes  : 2 = 2.00000 / class
Number of one step interval sizes   : 2
Highest interval variety            : 2
Mean interval variety               : 2.00000 = 2
Median interval variety             : 2
Lowest interval variety             : 2
Smallest interval difference        : 203.51000 cents
Most common intervals               : 498.28000 cents & inv., amount: 1
Number of recognisable fifths       : 1, average 701.7900 cents
Number of recognisable fourths      : 1, average 498.2800 cents
Best fifths form a closed circle
Best major thirds form a closed circle
Steps are strictly increasing
Formal octave complements present   : 1 = 50.0000%
2/1 octave complements present      : 0 = 0.0000%
Limited inverse transpositions      :
 1
Inversional symmetry on intervals   :
 0-1 1-2
-- Rational properties --
FIT/MODE
  2:  1 1  SP B ME I SD: 71.9517 c. M:-101.7550 c. 
  3:  1 2  SP M ME   SD: 69.4780 c. M: 98.2567 c. 
  5:  2 3  SP M ME   SD: 12.9061 c. M: 18.2520 c. 
  7:  3 4  SP M ME   SD: 11.3390 c. M:-16.0357 c. 
 12:  5 7  SP M DE   SD: 1.2368 c. M:-1.7492 c.  Honchoshi: Japan
 29:  12 17  SP M DE   SD: 1.2016 c. M: 1.6993 c. 
 41:  17 24  SP M DE   SD: 0.4879 c. M: 0.6900 c. 
 53:  22 31  SP M DE   SD: 0.0974 c. M: 0.1377 c. 
 118: 49 69  SP M DE   SD: 0.0383 c. M:-0.0542 c. 
 171: 71 100  SP M DE   SD: 0.0038 c. M: 0.0053 c. 
 802: 333 469  SP M DE   SD: 0.0024 c. M:-0.0034 c. 
 973: 404 569  SP M DE   SD: 0.0013 c. M:-0.0019 c. 
 1144: 475 669  SP M DE   SD: 0.0006 c. M:-0.0008 c. 
 1315: 546 769  SP M DE   SD: 0.0000 c. M:-0.0000 c. 
FIT/HARMONIC
 1 x 2  S SD: 0.0700 cents