Root mean square: Difference between revisions

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In mathematics and tuning, the '''root mean square''' of two frequencies <math>f_1</math> and <math>f_2</math> is equal to <math>√(\frac{f_1^{2} + f_2^{2}}{2})</math>
In mathematics and tuning, the '''quadratic mean''' of two frequencies <math>f_1</math> and <math>f_2</math> is equal to <math>√(\frac{f_1^{2} + f_2^{2}}{2})</math>.
 
== Examples ==
The quadratic mean of [[1/1]] and [[3/2]] is √([[13/4]]).
 
The quadratic mean of [[5/4]] and [[6/5]] is √(1201/800).
 
The quadratic mean of [[9/8]] and [[10/9]] is √(12961/10368).
 
* [[Pythagorean means]
** [[Arithmetic mean]]
** [[Geometric mean]]
** [[Inverse-arithmetic mean]]
* [[Mediant]]