ABSTRACT

This conclusion presents some closing thoughts on the key concepts discussed in the preceding chapters of this book. The book examines a range of Wilson's most important theories that underpin the design of his unique microtonal keyboard. It shows that how the structural properties can be used to map these scales onto Wilson's generalized keyboard, thus enabling musicians to explore a multitude of different tunings. The book also examines a number of tuning structures that are based mainly on harmonic rather than melodic considerations. These included Diamonds which are organized around a prominent tonal centre, and Combination-Product Sets (CPS) which are centreless structures ranging from the 6-tone Hexany to the 70-tone Hebdomekontany, as well as various extensions of these structures. The book explores Wilson's general principle of Secondary Moments of Symmetry which was derived from his understanding of the formation of Japanese pentatonic scales. It concludes with an understanding of the immense wealth of creative and theoretical possibilities.