ABSTRACT
This chapter examines a different approach to tuning that is focused more on harmonic rather than melodic considerations. It provides an in-depth analysis of Wilson's Combination-Product Sets (CPS), some of his most original contributions to tuning. The art of scale-making often involves a search for balance between competing melodic and harmonic interests. the chapter examines the theory behind harmonically based structures, such as Diamonds and CPS to explore their rich and largely untapped musical possibilities. Wilson often crosses together two sets of notes, such as chords or scales, using a kind of multiplication table which he calls a cross-set. Wilson met Partch in the mid-1960s and contributed to Partch's later work in a number of ways. The Triadic and Tetradic examples serve to illustrate the main features of Wilson's Diamonds. In addition to dyads, triads, tetrads, and Hexanies, the Eikosany also includes Dekanies within its structure.
