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Scheme of a parallelepipedic caivty (or room) of dimensions $a\times b \times h$ m3.

The expression for the frequency of m,n,p th mode (or resonance) in a parallelepidic air-filled cavity of dimensions $a\times b \times h$ m3 is:

$ f_{mnp} = \displaystyle{\frac{c}{2}} \displaystyle{\sqrt{ \left(\frac{m}{a}\right)^{2}+\left(\frac{n}{b}\right)^{2}+\left(\frac{p}{h}\right)^{2} }}$

where $c_{0}$ is the speed of sound in air at temperature and pressure conditions in the cavity (or room) and $m,n,p \in \mathbb{N}$.

Mathematical development

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