Finding Homometric Multiplets

In the article On Extended Z-triples (1981), David Lewin proved that Z-sets introduced by Allen Forte, which are neither transposed nor inverted forms and which have the same interval vector are not necessarily pairs. In a \(N = 16\) degrees equal temperament, he exhibited triples of pcsets which are Z-associated. In this paper, we give a general formula for all homometric triples of pentachords, and some new methods to construct homometric multiplet.