A dynamic phase alignment circuit includes a phase generator circuit having delay-locked loop circuits that generate periodic output signals. Each of the delay-locked loop circuits generates one of the periodic output signals in response to at least two periodic input signals. A multiplexer circuit selects a selected periodic signal from among the periodic input signals and the periodic output signals based on select signals. A phase detection circuit compares a phase of the selected periodic signal to a data signal to generate a phase detection signal. A control logic circuit generates the select signals. The control logic circuit adjusts the select signals based on changes in the phase detection signal to cause the multiplexer circuit to adjust the phase of the selected periodic signal.