Scala analysis: xen18-erlich-luna-02

1L 1s MOS for Luna, L=1006.784, s=193.196

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

SHOW
  0:          1/1               0.000000 unison, perfect prime
  1:       1006.784 cents    1006.784000
  2:       1199.980 cents    1199.980000
SHOW/INTERVAL
  0:        193.1960 cents    193.1960
  1:       1006.7840 cents   1006.7840
  2:        193.1960 cents    193.1960
SHOW INTERVALS
Interval class, Number of incidences, Size:
  1:   1 193.19600 cents
  1:   1 1006.78400 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   : 1006.8 1200.0
 1006.8: 193.2  1200.0
 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class:
  1:  193.1960  .. 1006.7840 cents     813.58800 cents                    193.19600 cents
SHOW DATA
Number of notes                     : 2
-- Interval properties --
Smallest interval                   : 193.19600 cents, class 1
Average step (divided formal octave): 599.9900 cents
Largest one step interval           : 1006.78400 cents
Average / Smallest step             : 3.105603
Largest / Average step              : 1.678001
Largest / Smallest step             : 5.211205
Median interval of one step         : 599.99000 cents, amount: 0
Least squares average step          : 681.34880 cents, oct.:  1362.69760 cents
Scale is strictly proper
Scale has Myhill's property
  chromas: 813.58800 cents and 620.39200 cents, ratio: 1.311410
  generator: 193.19600 cents
ET pair of linear temperament       : 25&31
Scale is distributional even
Scale is a mode of a 441-tone equal temperament with octave  1199.980 cents
  degrees: 370 441
  generator: 71
Number of contiguous 1-step segments: 0
Step pattern alph. order: AB
Step pattern size order : LS
Scale is a Constant Structure, by a margin of 193.19600 cents
Scale diversity                     : 0.967132
Rothenberg stability                : 1.000000 = 1
Lumma stability                     : 0.321999
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        : 813.58800 cents
Most common intervals               : 193.19600 cents & inv., amount: 1
Number of recognisable fifths       : 0
Number of recognisable fourths      : 0
Steps are strictly decreasing
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:  2 0  SP M DE   SD: 136.6102 c. M:-193.1960 c. 
  4:  3 1  SP M DE   SD: 75.5183 c. M: 106.7990 c. 
  5:  4 1  SP M DE   SD: 33.0926 c. M: 46.8000 c. 
  6:  5 1  SP M DE   SD: 4.8088 c. M: 6.8007 c.  Warao ditonic: South America
 19:  16 3  SP M DE   SD: 2.6343 c. M:-3.7255 c. 
 25:  21 4  SP M DE   SD: 0.8480 c. M:-1.1992 c. 
 31:  26 5  SP M DE   SD: 0.2469 c. M: 0.3492 c. 
 56:  47 9  SP M DE   SD: 0.2419 c. M:-0.3421 c. 
 87:  73 14  SP M DE   SD: 0.0677 c. M:-0.0958 c. 
 118: 99 19  SP M DE   SD: 0.0149 c. M: 0.0211 c. 
 323: 271 52  SP M DE   SD: 0.0073 c. M:-0.0104 c. 
 441: 370 71  SP M DE   SD: 0.0014 c. M:-0.0019 c. 
 1000: 839 161  SP M DE   SD: 0.0006 c. M: 0.0008 c. 
 1441: 1209 232  SP M DE   SD: 0.0000 c. M:-0.0001 c. 
FIT/HARMONIC
 1 x 2  S SD: 0.0200 cents
 2 x 4  S SD: 0.0200 cents
 161:288:322    SD: 0.0163 cents
 232:415:464    SD: 0.0100 cents