A digital clock modulator provides a smoothly modulated clock period to reduce emitted electro-magnetic radiation (EMR). The digital clock modulator includes a plurality of delay elements connected in series and receiving as an input an unmodulated clock signal. A multiplexer receives inputs from unequally spaced taps between the delay elements. A control block provides selection inputs to the multiplexer, and receives the unmodulated clock signal from the delay elements. The delay elements include a last delay element providing the unmodulated clock signal to the control block. The last delay element has a predetermined delay for ensuring that the delay elements and related signal paths are in a same stable state before control to the multiplexer changes.