A tone source apparatus for an electronic musical instrument, said apparatus comprising a memory circuit which has a plurality of addresses so that, where at least one cycle of a musical tone waveform is divided into p units and a waveform in each section range is represented by a formula containing the abscissa as its variable, a coefficient and a section range quantum number of each such formula are memorized as digital signals in a corresponding address, said apparatus further comprising a clock pulse oscillator, a counter means coupled to and counting output clock pulses of the clock pulse oscillator, said counter means producing a digital output signal, a coincidence circuit generating a coincidence signal when the digital output signal of the counter means and a digital signal of the section range quantum number memorized in the memory circuit coincide with one another, decoder means designating the next stage address in order in response to output signal of the coincidence circuit, a calculation circuit for calculating a digital output signal from a digital signal from the counter means and a coefficient digital signal from the designated address, and D-A convertor means for converting the digital output signal of the calculation circuit into a corresponding analog signal.