Root mean square: Difference between revisions
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In mathematics and tuning, the ''' | 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]] | |||
Revision as of 18:28, 20 March 2023
In mathematics and tuning, the quadratic mean of two frequencies [math]\displaystyle{ f_1 }[/math] and [math]\displaystyle{ f_2 }[/math] is equal to [math]\displaystyle{ √(\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]
- Mediant