Sqrt(25/24): Difference between revisions

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


[https://www.yacavone.net/xen-calc/?q=sqrt(25/24) xen-calc]
[https://www.yacavone.net/xen-calc/?q=sqrt(25/24) xen-calc]
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[[File:Sqrt(25 24) counterpoint thirds.mp3|left|thumb|Thirds]]
[[File:Sqrt(25 24) counterpoint thirds.mp3|left|thumb|Thirds]]
[[File:Sqrt(25 24) counterpoint seventh chords.mp3|left|thumb|Seventh chords]]
[[File:Sqrt(25 24) counterpoint seventh chords.mp3|left|thumb|Seventh chords]]
== Approximations ==
[[34edo|34-edo]] has such an excellent sqrt(25/24) that the next EDO to have a better one is [[441edo|441]].

Revision as of 12:31, 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

Thirds
Seventh chords

Approximations

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