Abstract
Geometric demonstration of the generalized unique intervallic multiplicity theorem
Highlights
University Avenue, Flint, MI 48504-6214 USA c 2014 Brian J
Such an equivalence class of pc-sets is called a set class [7, p. 39]. For each such set class, it is desirable to have a canonical representative. This is provided by the concept of prime form [7, p. 41] as described in the following geometric-algorithmic definition
A hexachord in prime form cannot open with [0, 3, ·, ·, ·, ·] because its last interval-class would have to be ic-3, ic-4 or ic-5, since a smaller interval-class would violate the definition of prime form while a larger interval-class would not leave enough remaining pitches to accommodate a hexachord
Summary
University Avenue, Flint, MI 48504-6214 USA c 2014 Brian J. This is an open access article distributed under.
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