A speaker grille (10) comprises a cloth (18) and a frame (20) to support the cloth (18). The cloth (18) is preferably stretched taunt over the frame (20) for minimal movement in response to speaker excursion. The frame (20) includes a plurality of sidewalls (29) defining a plurality of slots (30) through which sound waves may travel between a smooth surface (26) supporting the cloth (18) and a mounting surface (28) with which the frame (12) mounts to a speaker box (12). The slots (30) preferably penetrate all four sides of the frame (20) and may also penetrate all four corners of the frame (20). The slots (30) form channels that act as waveguides and allow sound waves to travel from speakers (16) through the frame (20). The frame (20) and the channels may be configured to direct the sound waves at various angles to the speaker box (12).