Sqrt(25/24): Difference between revisions

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== Listen ==
== Listen ==
[[File:Sqrt(25 24) counterpoint thirds.mp3|left|thumb|Just major third and just minor third alternating by equal contrary motion]] [[File:Sqrt(25 24) counterpoint seventh chords.mp3|left|thumb|Just major seventh chord and just minor seventh chord alternating by equal contrary motion]]
[[File:Sqrt(25 24) counterpoint thirds.mp3|left|thumb|Just major third and just minor third alternating by equal contrary motion]] [[File:Sqrt(25 24) counterpoint seventh chords.mp3|left|thumb|Just major seventh chord and just minor seventh chord alternating by equal contrary motion]]





Revision as of 12:46, 24 September 2022

Sqrt(25/24) is an interval that allows to pass from a major third (5/4) to a minor third (6/5) by equal counterpoint, and vice versa.

Let be two voices forming a 5/4 interval. If the lower voice goes up by a sqrt(25/24) and the upper voice goes down by the same interval, the next interval formed by the two voices will be a 6/5 interval.

xen-calc

Listen

Just major third and just minor third alternating by equal contrary motion
Just major seventh chord and just minor seventh chord alternating by equal contrary motion









Approximations

34-edo has such an excellent sqrt(25/24) that the next EDO to have a better one is 441.