3edt
Jump to navigation
Jump to search
Prime factorization
3 (prime)
Step size
633.985¢
Octave
2\3edt (1267.97¢)
(convergent)
Consistency limit
4
Distinct consistency limit
2
| ← 2edt | 3edt | 4edt → |
(convergent)
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.
Theory
75/52 is a good rational representation of the cube root of 3.
Relationship to octave temperaments
3EDT is closely related to any rank-2 octavated temperament which takes 3 generators to reach the 3rd harmonic, of which there's a notable amount of.