A clock synthesis circuit and method provides for precision controlling and programming a selected number of clock pulses (or simply “clocks”) fitted within time periods between two consecutive pulses of a so-called system heartbeat (SHB) timing signal. The disclosed embodiments have applicability in light emitting diode (LED) display driver integrated circuits (ICs) and, more generally, digital circuits including computer processors, microcontrollers, logic devices such as field-programmable gate arrays (FP-GA), and other logic circuitry.