Effortlessly compute theoretical values for loudspeaker and directivity index based on horizontal and vertical coverage, aiding in optimizing your speaker arrangement.
Determine a loudspeaker’s directivity index and theoretical q through this sound q calculator. Easily input the horizontal and vertical coverage measurements to derive the desired outcomes.
Speaker Sound Q formula
![\[q = \frac{{10\pi}}{{\sin^{-1}(\sin(\frac{h}{2})\sin(\frac{v}{2}))}}\]](https://x-calculator.com/wp-content/ql-cache/quicklatex.com-161adec796a4d937086064976b820203_l3.png "Rendered by QuickLaTeX.com")
![\[d = \frac{{10 \cdot 10 \cdot (0.43429 \cdot \log(q))}}{10}\]](https://x-calculator.com/wp-content/ql-cache/quicklatex.com-d30c94274c7e0530cda2a932c08497ee_l3.png "Rendered by QuickLaTeX.com")
Where:
- q = Speaker Sound Q (Theoretical Loudspeaker)
- h = Horizontal Coverage
- v = Vertical Coverage
- d = Directivity Index
