The Room Mode Axial, Tangential & Oblique Resonant Standing Wave Sizer provides a three-variable mathematical modeling interface for exploring comparative acoustic resonance and standing wave ratios in enclosed listening spaces.

### Algebraic Ratio Formulation The component evaluates user parameters using three generalized algebraic relationships: - Primary Metric: $(val_1 \times val_2) / \max(0.01, val_3)$. In acoustic room modeling, this represents proportional acoustic wavelength energy relative to boundary dimension or absorption damping. - Geometric Mean (Secondary Index): $\sqrt{\max(0, val_1 \times val_2)}$, modeling harmonic boundary reflection frequencies. - Efficiency Ratio (%): $\min(100, \max(0, (val_1 / (val_1 + val_2)) \times 100))$, modeling room mode pressure distribution.

### Note on Acoustic Physics & Rayleigh-Helmholtz Modeling This calculator computes a generalized three-parameter algebraic ratio. It does not replace exact 3D Rayleigh room mode formulas ($f = \frac{c}{2} \sqrt{(n_x/L)^2 + (n_y/W)^2 + (n_z/H)^2}$ where $c = 343\text{ m/s}$), tangential/oblique mode decay damping, or Bonello criterion spatial distribution analysis. Acoustic engineers and recording studio designers should measure physical room dimensions and evaluate modal ringing with calibrated measurement microphones.

### Worked Numeric Example Using default inputs: - Primary Dimension / Load ($val_1$): 100 - Secondary Factor / Velocity ($val_2$): 20 - Tuning / Geometric Modifier ($val_3$): 5 - Results: - Primary Ratio: $(100 \times 20) / 5 = 400.00$ - Geometric Mean: $\sqrt{100 \times 20} = \sqrt{2000} \approx 44.72$ - Efficiency Ratio: $(100 / (100 + 20)) \times 100 = 83.33\%$

### In-Browser Processing All calculations evaluate instantaneously on your device using client-side JavaScript. Zero studio dimensions or acoustic parameters are transmitted to external servers.