A nutating pump is disclosed which has a modified piston and housing or casing that provides two distinct pump chambers or areas. Output from the first pump chamber is delivered during a first half of the dispense cycle or the piston movement cycle. A substantial portion of this output is held for delivery by the second chamber during a second part or half of the dispense cycle. Thus, the output generated by the pump is not altered or reduced, it is delivered over the entire piston movement cycle as opposed to prior art pumps which deliver all of the fluid during a first half or first portion of the piston movement cycle. In this way, superior pulse modification is achieved as fluid is delivered across the entire piston movement cycle as opposed to a first half or first portion of the piston movement cycle. In additional embodiments disclosed, two distinct chambers are also provided but each chamber generates its own output as the piston includes two machined or flat sections for active pumping. Thus, each chamber generates its own positive output flow but the flow from each chamber is delivered during a different half of the piston movement cycle. Thus, the flow is still distributed throughout the entire piston movement cycle. In the first embodiment with a first and second chamber, the second chamber essentially acts as a holding station for fluid to be delivered during a second half of the piston movement cycle.