Scala analysis: 610_T17

Aristoxenian style tetrachord 4.5 + 4.5 + 21, Aristoxenos

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

SHOW
  0:          1/1               0.000000 unison, perfect prime
  1:         75.000 cents      75.000000
  2:        150.000 cents     150.000000
  3:        500.000 cents     500.000000
SHOW/INTERVAL
  0:        350.0000 cents    350.0000
  1:         75.0000 cents     75.0000
  2:         75.0000 cents     75.0000
  3:        350.0000 cents    350.0000
SHOW INTERVALS
Interval class, Number of incidences, Size:
  1:   2 75.00000 cents
  1:   1 350.00000 cents
  2:   1 150.00000 cents
  2:   2 425.00000 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     3    
 0.0  : 75.0  150.0 500.0
 75.0 : 75.0  425.0 500.0
 150.0: 350.0 425.0 500.0
 500.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class:
  1:  75.0000   .. 350.0000 cents      275.00000 cents                    75.00000 cents
  2:  150.0000  .. 425.0000 cents      275.00000 cents                   -200.00000 cents
SHOW DATA
Number of notes                     : 3
-- Interval properties --
Smallest interval                   : 75.00000 cents, class 1
Average step (divided formal octave): 166.6667 cents
Largest one step interval           : 350.00000 cents
Average / Smallest step             : 2.222222
Largest / Average step              : 2.100000
Largest / Smallest step             : 4.666667
Median interval of one step         : 75.00000 cents, amount: 2
Most common interval of one step    : 75.00000 cents, amount: 2
Least squares average step          : 133.92857 cents, oct.:  401.78571 cents
Scale is not proper
Scale has Myhill's property
  chromas: 275.00000 cents and 200.00000 cents, ratio: 1.375000
  generators: 1 of 75.00000 cents and 425.00000 cents
ET pair of linear temperament       : 40&40
Scale is distributional even
Scale is a mode of a 20-tone equal temperament with octave  500.000 cents
  degrees: 3 6 20
  generators: 3 and 17
Number of contiguous 1-step segments: 0
Step pattern alph. order: AAB
Step pattern size order : SSL
Interval vector is [ 0 0 2 0 0 1 0 0 0 0 ]
Scale is sum-free (all different intervals)
Scale is a Constant Structure, by a margin of 75.00000 cents
Scale diversity                     : 0.799925
Lumma stability                     : 0.300000
Lumma impropriety factor            : 0.400000
Rothenberg efficiency               : 0.888889   redundancy: 0.111111
Efficiency x scale size             : 2.666667
Number of different interval sizes  : 4 = 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        : 75.00000 cents
Most common intervals               : 75.00000 cents & inv., amount: 2
Number of recognisable fifths       : 0
Number of recognisable fourths      : 0
Steps are increasing
Formal octave complements present   : 1 = 33.3333%
2/1 octave complements present      : 0 = 0.0000%
Limited inverse transpositions      :
 2
Inversional symmetry on degrees     :
 1
Inversional symmetry on intervals   :
 2-3
-- Rational properties --
FIT/MODE
  3:  0 1 2   N G T3   SD: 44.3576 c. M: 75.0000 c. 
  4:  0 1 3   N G T3   SD: 45.6435 c. M: 75.0000 c. 
  6:  1 1 4   N M DE S SD: 10.7583 c. M:-16.6667 c. 
  7:  1 1 5   N M DE S SD: 4.6107 c. M: 7.1429 c. 
 13:  2 2 9   N M DE S SD: 2.4827 c. M:-3.8462 c. 
 20:  3 3 14   N M DE S SD: 0.0000 c. M:-0.0000 c. 
FIT/HARMONIC
 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 x 5  S SD: 113.6863 cents
 5 x 6:7  S SD: 92.5274 cents
 6 x 7:8  S SD: 58.4436 cents
 7 x 8:9  S SD: 51.9695 cents
 8 x 9:11    SD: 37.2150 cents
 9 x 10:12  S SD: 16.2313 cents
 10 x 11:13    SD: 24.0909 cents
 11 x 12:15  S SD: 18.4781 cents
 12 x 13:16    SD: 5.7967 cents
 13 x 14:17    SD: 20.8348 cents
 14 x 15:19    SD: 20.9565 cents
 15:16 x 20  S SD: 18.3916 cents
 16:17 x 21    SD: 20.9230 cents
 17:18:19:23    SD: 18.0393 cents
 18:19:20:24  S SD: 12.4717 cents
 19:20:21:25    SD: 12.2526 cents
 20:21:22:27    SD: 8.8003 cents
 21:22:23:28    SD: 3.1734 cents
 44:46:48:59    SD: 2.7063 cents
 45:47:49:60    SD: 1.0810 cents
 66:69:72:88    SD: 0.9461 cents
 111:116:121:148    SD: 0.8094 cents
 134:140:146:179    SD: 0.7160 cents
 155:162:169:207    SD: 0.5722 cents
 200:209:218:267    SD: 0.4878 cents
 275:287:300:367    SD: 0.4306 cents
 319:333:348:426    SD: 0.3929 cents
 320:334:349:427    SD: 0.3579 cents
 341:356:372:455    SD: 0.3497 cents
 364:380:397:486    SD: 0.2388 cents
 409:427:446:546    SD: 0.1570 cents
 430:449:469:574    SD: 0.1132 cents
 475:496:518:634    SD: 0.0575 cents