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
- Axial Modes: Involve reflections between two parallel surfaces (e.g. front wall to back wall). Contain the highest acoustic energy and cause the most severe peaks (+15 dB) and nulls (-30 dB) in low-end monitoring.
- Tangential Modes: Involve reflections across four surfaces. Carry half the energy of axial modes (-3 dB).
- Oblique Modes: Involve reflections across all six surfaces. Carry one-quarter the energy of axial modes (-6 dB).
ADVERTISEMENT • STUDIO SPONSOR
Support Studio LOOS open web acoustic laboratory • High-grade pro audio gear & plugins