A detailed analysis of the optical pulsation data from HZ Her shows that all of the 35 day characteristics can be interpreted in the light of episodic mass transfer every 0.81 days lasting at least 4 hr and obscuration by a tilted accretion disk which undergoes one cycle of retrograded progression every approx.35 days. The predominant systematic shifts of the optical pulsation velocities can be related to the X-ray shadowing of the phid.7 = 0.75 side of the lobe of HZ Her by the mass transfer stream and the associated disk rim structure. In the context of this new understanding of the 35 day effects, the pulsation data strongly affirm the assumptions of prograde spin for Her X-1, and aligned corotation and Roche lobe filling for HZ Her. Consideration of the accurately measured X-ray eclipse duration and the minimum orbital co-inclination required to produce the observed 35 day optical and X-ray variability may limit the Her X-1 mass to less than 1.4 M/sub sun/. A good model atmosphere for the optical pulsations could reduce the Her X-1 mass error to less than 0.10 M/sub sun/.