Sqrt(25/24): Difference between revisions
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[[34edo|34-edo]] has such an excellent sqrt(25/24) that the next EDO to have a better one is [[441edo|441]]. | [[34edo|34-edo]] has such an excellent sqrt(25/24) that the next EDO to have a better one is [[441edo|441]]. | ||
EDOs that have both a good 5-odd-limit and a sqrt(25/24) distinct from 25/24 include (among others) [[24edo|24]], [[27edo|27]], [[31edo|31]] and [[34edo|34]]. | EDOs that have both a good [[5-odd-limit]] and a sqrt(25/24) distinct from [[25/24]] include (among others) [[24edo|24]], [[27edo|27]], [[31edo|31]] and [[34edo|34]]. | ||
Revision as of 13:31, 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
34-edo has such an excellent sqrt(25/24) that the next EDO to have a better one is 441.
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.