Root mean square: Difference between revisions
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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>. | 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 == | ==Examples== | ||
The quadratic mean of [[1/1]] and [[3/2]] is √([[13/4]]). | The quadratic mean of [[1/1]] and [[3/2]] is √([[13/4]]). | ||
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The quadratic mean of [[9/8]] and [[10/9]] is √(12961/10368). | The quadratic mean of [[9/8]] and [[10/9]] is √(12961/10368). | ||
* [[Pythagorean means] | ==See also== | ||
* [[Pythagorean means]] | |||
** [[Arithmetic mean]] | ** [[Arithmetic mean]] | ||
** [[Geometric mean]] | ** [[Geometric mean]] | ||
** [[Inverse-arithmetic mean]] | ** [[Inverse-arithmetic mean]] | ||
* [[Mediant]] | * [[Mediant]] | ||