Sqrt(25/24): Difference between revisions
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m It would be good to have a small article (or section) about the voice leading concept of equal contrary motion |
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{{Infobox Interval | |||
| Ratio = \sqrt{25/24} | |||
| Monzo = -3/2 -1/2 1 | |||
| Cents = 35.33621343214121 | |||
| Name = square root of 25/24 | |||
| Calc = sqrt(25/24) | |||
}} | |||
The '''square root of [[25/24]]''' ('''sqrt(25/24)''') is an interval measuring approximately 35.336{{cent}} 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. | The '''square root of [[25/24]]''' ('''sqrt(25/24)''') is an interval measuring approximately 35.336{{cent}} 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. | 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 == | == Listen == | ||
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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]]. | ||
Revision as of 18:03, 27 October 2022
| Interval information |
The square root of 25/24 (sqrt(25/24)) is an interval measuring approximately 35.336 ¢ 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.