An electronic sound generation device is adapted to start arithmetic processing with a start signal. When the arithmetic processing is not completed in a period between two sampling signals of a constant period, a start signal for starting next arithmetic processing signal for the next period is output after the completion of the on-going arithmetic processing. The electronic sound generation device is also adapted to hold resultant data of arithmetic processing, which is output in synchronism with the sampling signal. An address for designating waveform data in a waveform memory is calculated upon the address arithmetic parameters received from a digital signal processor (DSP) having a sum-of-products arithmetic circuit. Using fractional parts of the addresses, the data read out from the waveform memory are interpolated, and supplied to the DSP.