3edt: Difference between revisions

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Created page with "'''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)..."
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'''3EDT''', if the attempt is made to use it as an actual scale, would divide the [[3/1|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]].
'''3EDT''', if the attempt is made to use it as an actual scale, would divide the [[3/1|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]].



Revision as of 19:41, 5 October 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.