Acoustic Resonance Calculator
Calculate the resonant frequencies of a rectangular room: f = (c/2) * sqrt((nx/Lx)^2 + (ny/Ly)^2 + (nz/Lz)^2).
Frequência de Ressonância
21.4375 Hz
Resonant Frequency vs Room Length (Lx)
Formula
## Room Acoustic Modes A rectangular room supports standing waves at specific resonant frequencies determined by its dimensions. ### Formula **f(nx,ny,nz) = (c/2) sqrt((nx/Lx)^2 + (ny/Ly)^2 + (nz/Lz)^2)** - *c* = 343 m/s (speed of sound in air) - *Lx, Ly, Lz* = room dimensions - *nx, ny, nz* = mode numbers (non-negative integers, not all zero) Axial modes (one non-zero index) are strongest. Tangential (two) and oblique (three) modes are progressively weaker.
Exemplo Resolvido
Room 8 x 5 x 3 m, first axial mode along length (1,0,0).
- 01f = (343/2) * sqrt((1/8)^2 + 0 + 0)
- 02f = 171.5 * sqrt(0.015625)
- 03f = 171.5 * 0.125
- 04f = 21.44 Hz
Perguntas Frequentes
Why do room modes cause problems?
At resonant frequencies, sound builds up at certain positions and cancels at others, creating uneven bass response. This is why studio control rooms use non-parallel walls or bass traps.
What are the ideal room dimension ratios?
Ratios like 1:1.26:1.59 or 1:1.4:1.9 (from Bolt or Louden criteria) distribute modes more evenly, avoiding clustering of resonances.
Can room modes be eliminated?
No, but they can be managed with bass traps (absorption at room boundaries), equalization, and choosing good room proportions.
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