3edt: Difference between revisions

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3EDT is closely related to the [[Hemifamity temperaments|tricot temperament]], which tempers out |39 -29 3>, the tricot comma.
3EDT is closely related to the [[Hemifamity temperaments|tricot temperament]], which tempers out |39 -29 3>, the tricot comma.
From a regular temperament theory perspective, 3edt interlaced with [[118edo]] produces the [[oganesson]] temperament.


[[Category:Edt]]
[[Category:Edt]]
[[Category:Edonoi]]
[[Category:Edonoi]]

Revision as of 16:37, 26 November 2022

← 2edt 3edt 4edt →
Prime factorization 3 (prime)
Step size 633.985 ¢ 
Octave 2\3edt (1267.97 ¢)
(convergent)
Consistency limit 4
Distinct consistency limit 3

3EDT, if the attempt is made to use it as an actual scale, would divide the tritave into three equal parts, each of size 633.9850 cents, which is to say 3^(1/3) as a frequency ratio. If we want to consider it to be a temperament, it tempers out 9/8 as well as 2edo.

Factoids about 3EDT

75/52 is a good rational representation of the cube root of 3.

3EDT is closely related to the tricot temperament, which tempers out |39 -29 3>, the tricot comma.

From a regular temperament theory perspective, 3edt interlaced with 118edo produces the oganesson temperament.