Root mean square: Difference between revisions
m Fredg999 moved page Quadratic mean to Root mean square over redirect: RTT articles already use RMS |
Add Wikipedia box, new page title, relation to RTT, fixed 1 example (others to be reviewed soon) |
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In mathematics and tuning, the ''' | {{Wikipedia}} | ||
In mathematics and tuning, the '''root mean square''' 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>. The RMS is also known as the '''quadratic mean'''. | |||
In [[regular temperament theory]], it is used in [[RMS tuning]]. | |||
== Examples == | |||
The quadratic mean of [[1/1]] and [[3/2]] is <math>\sqrt{\frac{13}{8}}</math> (approx. 420.3{{cent}}). | |||
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The quadratic mean of [[5/4]] and [[6/5]] is √(1201/800). | The quadratic mean of [[5/4]] and [[6/5]] is √(1201/800). | ||
The quadratic mean of [[9/8]] and [[10/9]] is √(12961/10368). | The quadratic mean of [[9/8]] and [[10/9]] is √(12961/10368). | ||
==See also== | == See also == | ||
* [[Pythagorean means]] | * [[Pythagorean means]] | ||
** [[Arithmetic mean]] | ** [[Arithmetic mean]] | ||