Room Modes & Standing Wave Resonance Calculator
Architectural acoustics & studio engineering: Compute rectangular room eigenmodes (axial, tangential, oblique), Schroeder crossover frequency, and Bolt acoustic ratio compliance.
Room Dimensions & Environment
Longest dimension
Cross dimension
Floor-to-ceiling
343 m/s at 20°C (68°F)
Used for Schroeder frequency
Rayleigh Mode Equation
The resonance frequencies of a rectangular enclosure are given by:
$$f = \frac{c}{2} \sqrt{\left(\frac{p}{L}\right)^2 + \left(\frac{q}{W}\right)^2 + \left(\frac{r}{H}\right)^2}$$
Where $(p, q, r)$ are integers representing mode orders. Axial modes (two indices = 0) are the strongest and most problematic; tangential (one index = 0) have half energy (-3 dB); oblique (no index = 0) have quarter energy (-6 dB).
Acoustic Transition Frequencies
Schroeder Frequency (f_s)
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Lowest Axial Mode (f_1,0,0)
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Primary Axial Modes (Length, Width, Height)
Length Modes (L)
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Width Modes (W)
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Height Modes (H)
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Bolt Acoustic Area & Proportions
Dimension Ratios (H : W : L):
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Room Volume:
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Modal Uniformity / Degeneracy:
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