With a ternary system, would we expect 1/3 of the elements to be zero? I kind of wonder about using a sparse MM, then they wouldn’t have to represent 0 and the

With a ternary system, would we expect 1/3 of the elements to be zero? I kind of wonder about using a sparse MM, then they wouldn’t have to represent 0 and the could just use one bit to represent 1 or -1. 66% density is not really very sparse at all though.