The Pyramid Priests say that faithful meditation on the Walker's Journey using these beads can cultivate the ability to spherewalk. For a fee, they will teach the proper meditation techniques, and what each successive triptych of beads represents. And it is true that every year, a few faithful students of the Walker's Journey do develop the ability to spherewalk.
Of course, if you advance in the Pyramid Cult hierarchy, you will learn that the beads represent far more than a simple journey from sphere to sphere. Meditation on the Walker's Journey sometimes unlocks new Powers in the person meditating. These usually relate to a specific realm represented in the rosary.
Be sure to keep your eyes open when a rosary breaks near the Walker's Pyramid. When the beads spill onto the stones, they take up entirely new arrangements. These have great meaning. Scribes scurry to ink these to paper, because meditation on these new patterns often leads to the discovery of new gates and spherepaths.