An opportunity is apparent to develop alternative circuitry. Simplified circuitry without artifacts tied to the clock that drives a digital frequency generator (DFG) is useful in a variety of tunable electronic devices. The present invention relates to digital frequency generation. In particular, it relates to a method and apparatus for the digital generation of a pulse stream having a desired frequency relative to a reference clock signal and the ratio of two integers. The method applies generally to integers whose ratio is not an integer. The DFG as a device can be integrated onto a simple chip, without need for an off-chip filter.