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Speaker Coverage

EPR-based ceiling speaker aiming and count calculator

Inputs

ft
ft
ft
ft
°
%

Results

Coverage Diameter
12.0ft
Effective Spacing
10.2ft
Speakers Wide
3
Speakers Long
4
Total Speakers
12spkrs
Height Above Ear
6ft

References

Height Above Ear (h)
h = ceiling height − ear height
The vertical drop from speaker to listening plane — drives the entire coverage geometry
Coverage Diameter (EPR)
D = 2 × h × tan(θ ÷ 2)
θ = speaker dispersion angle. Derived from the Effective Pattern Radius (EPR) formula per AVIXA CTS-D
Effective Spacing
S = D × (1 − overlap% ÷ 100)
Overlap pulls speakers closer together to eliminate gaps and improve uniformity at the listening plane
Speaker Count
Wide: ⌈ room width ÷ S ⌉
Long: ⌈ room length ÷ S ⌉
Total: wide × long
Ceiling (⌈⌉) rounds up so no area is left uncovered