A directional transducer array system comprising a plurality of transducers with mathematical sequence spacing mounted on an array tile or host device. In an embodiment, the invention allows the construction of a receiving or transmitting, tiled (modular) directional audio array while simultaneously retaining desirable directional characteristics, improving gain, and limiting negative impacts on side lobe attenuation as the array is scaled (i.e. identical or similar tiles are added to or subtracted from the array); and allows the construction of a receiving or transmitting directional audio array that is light weight and robust enough to be used in body-worn, body-carried, vehicular, and fixed installations.