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]] | {| class="wikitable" | ||
|[[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]] | |||
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== Approximations == | == Approximations == | ||
Revision as of 14:20, 24 September 2022
Sqrt(25/24) is an interval that allows to pass from a just major third (5/4) to a just minor third (6/5) by equal contrary motion, 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.
Listen
Approximations
EDOs that have both a good 5-odd-limit and a sqrt(25/24) distinct from 25/24 include (among others) 24, 27, 31 and 34.
34-edo has such an excellent sqrt(25/24) that the next EDO to have a better one is 441.