Sqrt(25/24): Difference between revisions

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m Eliora moved page Sqrt(25/24) to 2ed25/24: There is no need for pages about individual ET steps when they can be perfectly doubled by the same edonoi.
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{{Infobox Interval
{{Infobox ET}}
| Ratio = \sqrt{25/24}
2ed25/24 is a tuning system created by dividing the interval of [[25/24]] logarithmically into steps of about 35.336 cents each. Each step represents a frequency ratio of the square root of 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.


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.
It is almost equal to [[34edo]].
==Theory==
One step of this tuning 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 ==
== Listen ==