The phasalist solution to the classic puzzle of the statue and the piece of clay only works for some coincidence puzzles and not others. To address this limitation of phasalism, I develop a novel approach to coincidence puzzles that permits different kinds of coincidence puzzles to be solved in different ways, provided that each solution satisfies certain constraints inspired by the phasalist solution to the statue puzzle. I apply my approach to four different kinds of coincidence puzzles, and I argue (...) that it is no less plausible than rival approaches in the literature. (shrink)