Combination light diffusion with either sound diffusion or absorption is provided in a single lighting fixture, to provide uniform luminosity and sound control. The traditional flat light diffuser is replaced with a translucent acoustical element which either diffuses sound or absorbs the sound. The sound diffuser topology includes random surfaces, geometrical shapes, number theoretic diffusers or optimized rectilinear or curvilinear surfaces. The translucent sound absorber includes microperforated or microslit panels, as well as translucent fabrics and microperforated, translucent wood veneers.