14ed5: Difference between revisions

From Xenharmonic Wiki
Jump to navigation Jump to search
CompactStar (talk | contribs)
No edit summary
CompactStar (talk | contribs)
No edit summary
Line 4: Line 4:
This ed5 is essentially a compressed [[6edo]] whole tone scale with a tempered octave of 1194.13 cents.
This ed5 is essentially a compressed [[6edo]] whole tone scale with a tempered octave of 1194.13 cents.
== Theory ==
== Theory ==
14ed5 is the first ED5 which can reasonably be described as a 5.7.11 subgroup temperament (or 11-limit excluding harmonics 2 and 3, which is implied by the usage of pentaves).
14ed5 is the first ED5 which can reasonably be described as a 5.7.11 subgroup temperament, excluding harmonics 2 and 3 as implied by pentaves.

Revision as of 07:28, 22 August 2023

← 13ed5 14ed5 15ed5 →
Prime factorization 2 × 7
Step size 199.022 ¢ 
Octave 6\14ed5 (1194.13 ¢) (→ 3\7ed5)
Twelfth 10\14ed5 (1990.22 ¢) (→ 5\7ed5)
Consistency limit 3
Distinct consistency limit 3

The 14 equal divisions of the 5th harmonic divides the 5th harmonic or pentave into 14 equal steps of 199.022 cents each.

This ed5 is essentially a compressed 6edo whole tone scale with a tempered octave of 1194.13 cents.

Theory

14ed5 is the first ED5 which can reasonably be described as a 5.7.11 subgroup temperament, excluding harmonics 2 and 3 as implied by pentaves.