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>\sqrt{\frac{f_1^{2} + f_2^{2}}{2}}</math>.


==Examples==
==Examples==

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{ \sqrt{\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).

See also