Oscillator providing waveform having dynamically continuously variable waveshape

An oscillator for digital music synthesis that provides a smooth waveform that is rich in harmonic content and whose shape is continuously and dynamically variable over a wide range of harmonically rich shapes. The oscillator is efficient in that it generates the shapes in a time consonant with sampling rates commonly used in music synthesis, and is generally free of discontinuities which would otherwise create audible alias components on subsequent signal processing.