Scala analysis: edo-03

3 equal divisions of the octave

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

SHOW
  0:          1/1               0.000000 unison, perfect prime
  1:        400.000 cents     400.000000
  2:        800.000 cents     800.000000
  3:       1200.000 cents    1200.000000
SHOW/INTERVAL
  0:        400.0000 cents    400.0000
  1:        400.0000 cents    400.0000
  2:        400.0000 cents    400.0000
  3:        400.0000 cents    400.0000
SHOW INTERVALS
Interval class, Number of incidences, Size:
  1:   3 400.00000 cents
  2:   3 800.00000 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     
 0.0   : 400.0 800.0 1200.0
 400.0 : 400.0 800.0 1200.0
 800.0 : 400.0 800.0 1200.0
 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class:
  1:  400.0000  .. 400.0000 cents      1/1, 0.0000 cents                  400.00000 cents
  2:  800.0000  .. 800.0000 cents      1/1, 0.0000 cents                  400.00000 cents
SHOW DATA
Number of notes                     : 3
-- Interval properties --
Smallest interval                   : 400.00000 cents, class 1
Average step (divided formal octave): 400.0000 cents
Largest one step interval           : 400.00000 cents
Average / Smallest step             : 1.000000
Largest / Average step              : 1.000000
Largest / Smallest step             : 1.000000
Median interval of one step         : 400.00000 cents, amount: 3
Most common interval of one step    : 400.00000 cents, amount: 3
Least squares average step          : 400.00000 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 400.00000 cents
Scale diversity                     : 1.000000
Rothenberg stability                : 1.000000 = 1
Lumma stability                     : 1.000000
Rothenberg efficiency               : 0.333333   redundancy: 0.666667
Efficiency x scale size             : 1.000000
Number of different interval sizes  : 2 = 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 fifths form a closed circle
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
  3:  1 1 1  SP B ME I SD: 0.0000 c. M:-0.0000 c. 
FIT/HARMONIC
 1 x x 2  S SD: 0.0000 cents
 2 x 3:4  S SD: 49.0225 cents
 3:4:5:6  H SD: 43.1138 cents
 4:5:6:8  S SD: 32.9985 cents
 5:6:8:10  S SD: 28.4872 cents
 7:9:11:14    SD: 13.0700 cents
 12:15:19:24    SD: 4.7964 cents
 19:24:30:38    SD: 3.4187 cents
 27:34:43:54    SD: 1.9085 cents
 39:49:62:78    SD: 1.8213 cents
 46:58:73:92    SD: 0.4634 cents
 104:131:165:208    SD: 0.3435 cents
 131:165:208:262    SD: 0.2231 cents
 177:223:281:354    SD: 0.0636 cents
 400:504:635:800    SD: 0.0510 cents
 458:577:727:916    SD: 0.0498 cents
 504:635:800:1008    SD: 0.0362 cents