# Speaker Sound Q

Easily calculate theoretical loudspeaker and directivity Index values based on the horizontal and vertical coverage, helping you optimize your speaker setup.

Calculate the directivity index and theoretical q of a loudspeaker using this sound q calculator. Simply input the horizontal and vertical coverage values to obtain the results.

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q = \frac{{10\pi}}{{\sin^{-1}(\sin(\frac{h}{2})\sin(\frac{v}{2}))}}

d = \frac{{10 \cdot 10 \cdot (0.43429 \cdot \log(q))}}{10}

**Where**:

- q = Speaker Sound Q (Theoretical Loudspeaker)
- h = Horizontal Coverage
- v = Vertical Coverage
- d = Directivity Index