3edt
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.