A peristaltic pump includes a rotor and a track assembly. The track assembly is spaced from the rotor to receive n tubes therebetween, where n=2m with m a positive integer ≥2. The tubes are manifolded to one another at a discharge port. One of the rotor and the track includes an occlusion surface for each of the n tubes. The occlusion surfaces are located at n different angular positions. The angular offset between the occlusion surfaces offsets pulsation associated with each tube so as to reduce overall pulsation at the discharge port.