Acoustic Resonance Calculator — 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.
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).
- f = (343/2) * sqrt((1/8)^2 + 0 + 0)
- f = 171.5 * sqrt(0.015625)
- f = 171.5 * 0.125
- f = 21.44 Hz