A subterranean well stimulation and cleaning tool comprising an upper chamber, a splitter, at least two diffuser legs having proximal ends in fluid communication with the upper chamber and distal ends in fluid communication with a lower chamber, and a laterally disposed crossover channel connecting the at least two diffuser legs between the proximal and distal ends, whereby fluid pulses are generated inside the upper chamber from a substantially constant fluid flow received into the tool from the well surface and are alternately directed through the at least two diffuser legs and into the lower chamber, where the fluid pulses are intensified prior to discharging them from the tool through a nose block or other device disposed downstream of the tool.