Scala analysis: edo-06

6 equal divisions of the octave

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

SHOW

  0:          1/1               0.000000 unison, perfect prime
  1:        200.000 cents     200.000000
  2:        400.000 cents     400.000000
  3:        600.000 cents     600.000000
  4:        800.000 cents     800.000000
  5:       1000.000 cents    1000.000000
  6:       1200.000 cents    1200.000000

SHOW/INTERVAL

  0:        200.0000 cents    200.0000
  1:        200.0000 cents    200.0000
  2:        200.0000 cents    200.0000
  3:        200.0000 cents    200.0000
  4:        200.0000 cents    200.0000
  5:        200.0000 cents    200.0000
  6:        200.0000 cents    200.0000

SHOW INTERVALS

Interval class, Number of incidences, Size:
  1:   6 200.00000 cents
  2:   6 400.00000 cents
  3:   6 600.00000 cents
  4:   6 800.00000 cents
  5:   6 1000.00000 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     5      6     
 0.0   : 200.0 400.0 600.0 800.0 1000.0 1200.0
 200.0 : 200.0 400.0 600.0 800.0 1000.0 1200.0
 400.0 : 200.0 400.0 600.0 800.0 1000.0 1200.0
 600.0 : 200.0 400.0 600.0 800.0 1000.0 1200.0
 800.0 : 200.0 400.0 600.0 800.0 1000.0 1200.0
 1000.0: 200.0 400.0 600.0 800.0 1000.0 1200.0
 1200.0

SHOW/SPAN INTERVALS

Interval class, Interval span, Span size, Gap to prev. class:
  1:  200.0000  .. 200.0000 cents      1/1, 0.0000 cents                  200.00000 cents
  2:  400.0000  .. 400.0000 cents      1/1, 0.0000 cents                  200.00000 cents
  3:  600.0000  .. 600.0000 cents      1/1, 0.0000 cents                  200.00000 cents
  4:  800.0000  .. 800.0000 cents      1/1, 0.0000 cents                  200.00000 cents
  5:  1000.0000 .. 1000.0000 cents     1/1, 0.0000 cents                  200.00000 cents

SHOW DATA

Number of notes                     : 6
-- Interval properties --
Smallest interval                   : 200.00000 cents, class 1
Average step (divided formal octave): 200.0000 cents
Largest one step interval           : 200.00000 cents
Average / Smallest step             : 1.000000
Largest / Average step              : 1.000000
Largest / Smallest step             : 1.000000
Median interval of one step         : 200.00000 cents, amount: 6
Most common interval of one step    : 200.00000 cents, amount: 6
Least squares average step          : 200.00000 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 200.00000 cents
Scale diversity                     : 1.000000
Rothenberg stability                : 1.000000 = 1
Lumma stability                     : 1.000000
Rothenberg efficiency               : 0.166667   redundancy: 0.833333
Efficiency x scale size             : 1.000000
Number of different interval sizes  : 5 = 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
Limited transpositions              : all
Inversional symmetry on degrees     : all
Inversional symmetry on intervals   : all
-- Rational properties --

FIT/MODE

  6:  1 1 1 1 1 1  SP B ME I SD: 0.0000 c. M:-0.0000 c.  Whole-tone, Messiaen mode 1, Raga Gopriya, Anhemitonic Hexatonic

FIT/HARMONIC

 1 x x x x x 2  S SD: 0.0000 cents
 2 x x x 3 x 4  S SD: 49.0225 cents
 3 x 4 x 5 x 6  S SD: 43.1138 cents
 4 x 5 x 6:7:8  S SD: 25.9470 cents
 5 x 6:7:8:9:10  S SD: 17.7979 cents
 6:7:8 x 10:11:12  S SD: 30.7491 cents
 7:8:9:10:11:12:14  S SD: 14.2271 cents
 8:9:10:11:13:14:16    SD: 12.0033 cents
 10:11:13:14:16:18:20    SD: 11.7457 cents
 12:13:15:17:19:21:24    SD: 11.7393 cents
 14:16:18:20:22:25:28    SD: 8.8655 cents
 15:17:19:21:24:27:30    SD: 5.6928 cents
 19:21:24:27:30:34:38    SD: 5.1233 cents
 22:25:28:31:35:39:44    SD: 4.9798 cents
 24:27:30:34:38:43:48    SD: 2.9944 cents
 31:35:39:44:49:55:62    SD: 2.6740 cents
 34:38:43:48:54:61:68    SD: 2.6384 cents
 41:46:52:58:65:73:82    SD: 1.9642 cents
 50:56:63:71:79:89:100    SD: 1.9217 cents
 51:57:64:72:81:91:102    SD: 1.8177 cents
 58:65:73:82:92:103:116    SD: 1.1305 cents
 65:73:82:92:103:116:130    SD: 0.8269 cents
 73:82:92:103:116:130:146    SD: 0.7793 cents
 97:109:122:137:154:173:194    SD: 0.7579 cents
 116:130:146:164:184:207:232    SD: 0.7349 cents
 123:138:155:174:195:219:246    SD: 0.4579 cents
 138:155:174:195:219:246:276    SD: 0.4035 cents
 196:220:247:277:311:349:392    SD: 0.3053 cents
 220:247:277:311:349:392:440    SD: 0.3005 cents
 261:293:329:369:414:465:522    SD: 0.2769 cents
 311:349:392:440:494:554:622    SD: 0.2709 cents
 335:376:422:474:532:597:670    SD: 0.2013 cents
 400:449:504:566:635:713:800    SD: 0.1985 cents
 408:458:514:577:648:727:816    SD: 0.1559 cents
 458:514:577:648:727:816:916    SD: 0.1423 cents
 473:531:596:669:751:843:946    SD: 0.1116 cents
 531:596:669:751:843:946:1062    SD: 0.0572 cents