A clock modulator spreads the frequency spectrum of an input clock to generate an output clock. A capacitor is connected to an intermediate clock node by a load-switching transistor. When the transistor is turned on, the capacitor increases the loading on the intermediate clock node, increasing delay. When the transistor is turned off, the delay is reduced. Output clock cycle periods are extended when delay is added, and reduced when the transistor turns off. A counter or sequencer is clocked by the input clock and drives the load-switching transistor. The transistor is turned on and off for alternate cycles when the counter is a toggle flip-flop, spreading the frequency over two frequencies every two clock cycles. Two capacitors of different sizes, connected to the intermediate clock node by two transistors, can be switched by a 2-bit sequencer, spreading the output clock over 7 frequencies every 7 clock cycles.