Abstract
EARLY THIRTY YEARS AGO, an alternative basis for the derivation of the Western scale was proposed by Budden (1972), and developed more recently by Balzano (1980). This alternative basis is derived from Group Theory, rather than just-intonation ratios. The theory also predicts that other diatonic scales exist within microtonal scales. This paper approaches these and other diatonic scales from the viewpoint of a composer seeking new materials for creative work, rather than trying for rigorous mathematical proof. The mathematical basis for the theory that follows can be found in any of the referenced texts. Instead, I have concentrated on the topology of the scales produced. In so doing
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