Ceiling Speaker Calculator
Sound system designers and sales engineers need to know how many ceiling speakers are required for proper coverage in a given application. Each environment is different based on the room dimensions and ambient noise. Consideration must be given to the listener height, audio program content, desired SPL - sound pressure level, and how much the client will tolerate sound pressure level variances throughout the space. Since speakers are often tailored for specific applications, their design and performance play a major role in determining quantities and positioning.
This audio tool utilizes a database of speaker coverage angle values for Extron ceiling speakers, based on the type of audio content and amount of SPL attenuation. Speaker performance data for traditional polar plots were normalized and then linearized onto a horizontal plane to calculate sound pressure levels for standing or seated listeners. This tool also provides power recommendations and transformer tap settings based on speaker sensitivity data and desired SPLs.
- RC = (HC - HL) tan (A)
- DC = (HC - HL) / cos (A)
- ΔLA = 20 log [DR / (HC - HL)]
- ΔLE = 20 log (DR / DC)
- LMINREF = LMIN - ΔLE + Isobar
- LMAXREF = LMAX - ΔLA
Where:
- RC = Radius at coverage angle and listening plane
- HC = Ceiling height
- HL = Listener height
- A = Coverage angle at isobar
- DC = Distance from speaker at coverage angle and listening plane
- ΔLA = Distance loss for listener on-axis (inverse square law)
- DR = 1 meter or 3.28 feet reference distance
- ΔLE = Distance loss for listener at isobar
- LMINREF = Minimum target level on-axis at reference distance
- LMIN = Minimum needed level for listener at isobar
- Isobar = Boundary with a specified SPL attenuation
- LMAXREF = Maximum target level on-axis at reference distance
- LMAX = Maximum target level for listener on-axis