Scala analysis: 597_T4

Aristoxenian style tetrachord 3 + 3 + 24, Aristoxenos

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

SHOW
  0:          1/1               0.000000 unison, perfect prime
  1:         50.000 cents      50.000000
  2:        100.000 cents     100.000000
  3:        500.000 cents     500.000000
SHOW/INTERVAL
  0:        400.0000 cents    400.0000
  1:         50.0000 cents     50.0000
  2:         50.0000 cents     50.0000
  3:        400.0000 cents    400.0000
SHOW INTERVALS
Interval class, Number of incidences, Size:
  1:   2 50.00000 cents
  1:   1 400.00000 cents
  2:   1 100.00000 cents
  2:   2 450.00000 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  : 50.0  100.0 500.0
 50.0 : 50.0  450.0 500.0
 100.0: 400.0 450.0 500.0
 500.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class:
  1:  50.0000   .. 400.0000 cents      350.00000 cents                    50.00000 cents
  2:  100.0000  .. 450.0000 cents      350.00000 cents                   -300.00000 cents
SHOW DATA
Number of notes                     : 3
-- Interval properties --
Smallest interval                   : 50.00000 cents, class 1
Average step (divided formal octave): 166.6667 cents
Largest one step interval           : 400.00000 cents
Average / Smallest step             : 3.333333
Largest / Average step              : 2.400000
Largest / Smallest step             : 8.000000
Median interval of one step         : 50.00000 cents, amount: 2
Most common interval of one step    : 50.00000 cents, amount: 2
Least squares average step          : 125.00000 cents, oct.:  375.00000 cents
Scale is not proper
Scale has Myhill's property
  chromas: 350.00000 cents and 300.00000 cents, ratio: 1.166667
  generators: 1 of 50.00000 cents and 450.00000 cents
ET pair of linear temperament       : 20&20
Scale is distributional even
Scale is a mode of a 10-tone equal temperament with octave  500.000 cents
  degrees: 1 2 10
  generators: 1 and 9
Number of contiguous 1-step segments: 1
Step pattern alph. order: AAB
Step pattern size order : SSL
Interval vector is [ 2 1 0 0 0 ]
Scale is sum-free (all different intervals)
Scale is a Constant Structure, by a margin of 50.00000 cents
Scale diversity                     : 0.429841
Lumma stability                     : 0.200000
Lumma impropriety factor            : 0.600000
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        : 50.00000 cents
Most common intervals               : 50.00000 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 0 3   N M DE S SD: 64.5497 c. M: 100.0000 c. 
  4:  0 1 3   N G T3   SD: 32.2749 c. M: 50.0000 c. 
  5:  0 1 4   N G T3   SD: 28.8675 c. M: 50.0000 c. 
  6:  0 1 5   N G T3   SD: 30.4290 c. M: 50.0000 c. 
  7:  1 0 6   N G T3   SD: 20.6197 c. M: 28.5714 c. 
  8:  1 1 6   N M DE S SD: 16.1374 c. M:-25.0000 c. 
  9:  1 1 7   N M DE S SD: 7.1722 c. M:-11.1111 c. 
 10:  1 1 8   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 x 7    SD: 82.5122 cents
 6 x 7:8  S SD: 83.4412 cents
 7 x 8:9  S SD: 73.1791 cents
 8 x 9:11    SD: 57.9457 cents
 9 x 10:12  S SD: 41.2134 cents
 10 x 11:13    SD: 39.7552 cents
 11 x 12:15  S SD: 31.3427 cents
 12 x 13:16    SD: 19.3111 cents
 13 x 14:17    SD: 22.7276 cents
 14 x 15:19    SD: 17.3275 cents
 15 x 16:20  S SD: 5.9465 cents
 16 x 17:21    SD: 14.8182 cents
 17 x 18:23    SD: 11.6712 cents
 18 x 19:24    SD: 3.3445 cents
 19 x 20:25  S SD: 13.6448 cents
 20 x 21:27    SD: 12.4852 cents
 21 x 22:28    SD: 9.7805 cents
 22 x 23:29    SD: 15.8404 cents
 23:24 x 31    SD: 14.5061 cents
 24:25 x 32    SD: 10.3823 cents
 25:26 x 33    SD: 13.1816 cents
 26:27:28:35  S SD: 11.7829 cents
 27:28:29:36    SD: 9.0313 cents
 29:30:31:39    SD: 7.3110 cents
 30:31:32:40  S SD: 4.5611 cents
 32:33:34:43    SD: 4.3195 cents
 33:34:35:44    SD: 1.0613 cents
 69:71:73:92    SD: 1.0572 cents
 101:104:107:135    SD: 0.8075 cents
 102:105:108:136    SD: 0.7415 cents
 134:138:142:179    SD: 0.5396 cents
 167:172:177:223    SD: 0.4735 cents
 170:175:180:227    SD: 0.4047 cents
 203:209:215:271    SD: 0.2451 cents
 236:243:250:315    SD: 0.2191 cents
 439:452:465:586    SD: 0.2170 cents