A directional acoustic device that has an acoustic source or an acoustic receiver, and a conduit to which the acoustic source or acoustic receiver is acoustically coupled and within which acoustic energy travels in a propagation direction from the acoustic source or to the acoustic receiver, the conduit having finite extent at which the conduit structure ends. The conduit has a radiating portion that has a radiating surface with leak openings that define controlled leaks through which acoustic energy radiated from the source into the conduit can leak to the outside environment or through which acoustic energy in the outside environment can leak into the conduit. The only path for acoustic energy in the conduit to reach the external environment or acoustic energy in the external environment to enter the conduit is through the controlled leaks. The leak openings define leaks having a first extent in the propagation direction, and also define leaks having a second extent at locations along the conduit with a constant time delay relative to the location of the source or receiver. The extents of the leaks are determinative of the lowest frequency where useful directivity control is obtained. The lowest frequency of directivity control for the leak in the propagation direction is within three octaves of the lowest frequency of directivity control for the leak with constant time delay.