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Room Modes & Standing Waves: How to Calculate Axial, Tangential & Oblique Resonances

In enclosed recording studios, sound waves reflect back and forth between parallel boundary surfaces. When the physical wavelength of a low frequency corresponds to an integer multiple of a room dimension, constructive and destructive interference creates standing waves (room modes).

The Rayleigh Room Mode Equation

$$f(p, q, r) = \frac{c}{2} \sqrt{\left(\frac{p}{L}\right)^2 + \left(\frac{q}{W}\right)^2 + \left(\frac{r}{H}\right)^2}$$
Rayleigh equation where \(c = 343 \text{ m/s}\), \(L, W, H\) are room dimensions, and \(p, q, r\) are mode integers

Classification of Room Modes

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