A digitally-controlled analog gain circuit supports a plurality of gain settings in which gain changes are made from a first setting to a new setting in response to a clocking signal. Large changes in gain are interpolated in small gain steps or increments. The clocking signal can be generated by an oscillator, or as a sequence of pulses output by a zero crossing detector. The gain circuit can apply positive gain to the signal. Alternatively, the gain circuit can apply a negative gain (attenuation) to the signal. The clocking signal can be provided in a pseudo-randomized manner to minimize unwanted signal effects such as discernable sound transients.