Scala analysis: edo-04

4 equal divisions of the octave

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

SHOW
  0:          1/1               0.000000 unison, perfect prime
  1:        300.000 cents     300.000000
  2:        600.000 cents     600.000000
  3:        900.000 cents     900.000000
  4:       1200.000 cents    1200.000000
SHOW/INTERVAL
  0:        300.0000 cents    300.0000
  1:        300.0000 cents    300.0000
  2:        300.0000 cents    300.0000
  3:        300.0000 cents    300.0000
  4:        300.0000 cents    300.0000
SHOW INTERVALS
Interval class, Number of incidences, Size:
  1:   4 300.00000 cents
  2:   4 600.00000 cents
  3:   4 900.00000 cents
Only one interval per interval class, scale is equal tempered
Average number of different intervals per interval class: 1.00000 = 1
SHOW/LINE/CENTS INTERVALS
         1     2     3     4     
 0.0   : 300.0 600.0 900.0 1200.0
 300.0 : 300.0 600.0 900.0 1200.0
 600.0 : 300.0 600.0 900.0 1200.0
 900.0 : 300.0 600.0 900.0 1200.0
 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class:
  1:  300.0000  .. 300.0000 cents      1/1, 0.0000 cents                  300.00000 cents
  2:  600.0000  .. 600.0000 cents      1/1, 0.0000 cents                  300.00000 cents
  3:  900.0000  .. 900.0000 cents      1/1, 0.0000 cents                  300.00000 cents
SHOW DATA
Number of notes                     : 4
-- Interval properties --
Smallest interval                   : 300.00000 cents, class 1
Average step (divided formal octave): 300.0000 cents
Largest one step interval           : 300.00000 cents
Average / Smallest step             : 1.000000
Largest / Average step              : 1.000000
Largest / Smallest step             : 1.000000
Median interval of one step         : 300.00000 cents, amount: 4
Most common interval of one step    : 300.00000 cents, amount: 4
Least squares average step          : 300.00000 cents, oct.:  1200.00000 cents
Scale is strictly proper
Scale is equal tempered
Scale is maximally even for L / S <= 2
Scale is distributional even
Scale is a Constant Structure, by a margin of 300.00000 cents
Scale diversity                     : 1.000000
Rothenberg stability                : 1.000000 = 1
Lumma stability                     : 1.000000
Rothenberg efficiency               : 0.250000   redundancy: 0.750000
Efficiency x scale size             : 1.000000
Number of different interval sizes  : 3 = 1.00000 / class
Number of one step interval sizes   : 1
Mean interval variety               : 1.00000 = 1
Lowest interval variety             : 1
Number of recognisable fifths       : 0
Best major thirds form a closed circle
Best minor thirds form a closed circle
Limited transpositions              : all
Inversional symmetry on degrees     : all
Inversional symmetry on intervals   : all
-- Rational properties --
FIT/MODE
  4:  1 1 1 1  SP B ME I SD: 0.0000 c. M:-0.0000 c. 
FIT/HARMONIC
 1 x x x 2  S SD: 0.0000 cents
 2 x 3 x 4  S SD: 50.9775 cents
 3 x 4:5:6  S SD: 34.3826 cents
 5:6:7:8:10  S SD: 22.3614 cents
 7:8:10:12:14  S SD: 19.5901 cents
 9:11:13:15:18    SD: 15.4778 cents
 10:12:14:17:20    SD: 7.4916 cents
 15:18:21:25:30    SD: 7.0495 cents
 21:25:30:35:42    SD: 5.8837 cents
 22:26:31:37:44    SD: 3.1215 cents
 31:37:44:52:62    SD: 2.4948 cents
 41:49:58:69:82    SD: 2.1709 cents
 48:57:68:81:96    SD: 1.7604 cents
 53:63:75:89:106    SD: 0.7349 cents
 63:75:89:106:126    SD: 0.6821 cents
 116:138:164:195:232    SD: 0.2850 cents
 217:258:307:365:434    SD: 0.1992 cents
 280:333:396:471:560    SD: 0.0970 cents
 333:396:471:560:666    SD: 0.0681 cents