Scala analysis: xen18-erlich-augmented-03

3L MOS for Augmented, L=399.02

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

SHOW
  0:          1/1               0.000000 unison, perfect prime
  1:        399.020 cents     399.020000
  2:        798.040 cents     798.040000
  3:       1197.060 cents    1197.060000
SHOW/INTERVAL
  0:        399.0200 cents    399.0200
  1:        399.0200 cents    399.0200
  2:        399.0200 cents    399.0200
  3:        399.0200 cents    399.0200
SHOW INTERVALS
Interval class, Number of incidences, Size:
  1:   3 399.02000 cents
  2:   3 798.04000 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   : 399.0 798.0 1197.1
 399.0 : 399.0 798.0 1197.1
 798.0 : 399.0 798.0 1197.1
 1197.1
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class:
  1:  399.0200  .. 399.0200 cents      1/1, 0.0000 cents                  399.02000 cents
  2:  798.0400  .. 798.0400 cents      1/1, 0.0000 cents                  399.02000 cents
SHOW DATA
Number of notes                     : 3
-- Interval properties --
Smallest interval                   : 399.02000 cents, class 1
Average step (divided formal octave): 399.0200 cents
Largest one step interval           : 399.02000 cents
Average / Smallest step             : 1.000000
Largest / Average step              : 1.000000
Largest / Smallest step             : 1.000000
Median interval of one step         : 399.02000 cents, amount: 3
Most common interval of one step    : 399.02000 cents, amount: 3
Least squares average step          : 399.02000 cents, oct.:  1197.06000 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 399.02000 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
Number of recognisable fourths      : 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: 2.9400 cents
 2 x 3:4  S SD: 48.0650 cents
 3:4:5:6  H SD: 43.7994 cents
 4:5:6:8  S SD: 32.3220 cents
 5:6:8:10  S SD: 28.2950 cents
 7:9:11:14    SD: 13.1276 cents
 12:15:19:24    SD: 4.4254 cents
 19:24:30:38    SD: 3.1816 cents
 27:34:43:54    SD: 2.7203 cents
 31:39:49:62    SD: 2.1222 cents
 46:58:73:92    SD: 1.3346 cents
 58:73:92:116    SD: 1.0397 cents
 135:170:214:270    SD: 0.9921 cents
 162:204:257:323    SD: 0.8571 cents
 174:219:276:347    SD: 0.7640 cents
 181:228:287:361    SD: 0.6515 cents
 193:243:306:385    SD: 0.5226 cents
 212:267:336:423    SD: 0.4711 cents
 220:277:349:439    SD: 0.4359 cents
 239:301:379:477    SD: 0.2548 cents
 251:316:398:501    SD: 0.2049 cents
 270:340:428:539    SD: 0.1787 cents
 297:374:471:593    SD: 0.0956 cents
 567:714:899:1132    SD: 0.0514 cents