[Formerly: Publ. I.R.M.A. Strasbourg, 1992, 476/S-26, p. 29-42.]

At first I would like to generalize certain aspects of 12-tone music to
*n*-tone music, where *n* is a positive integer. Then I will explain how to
interpret intervals, chords, tone-rows, all-interval-rows, rhythms, motifs and
tropes in *n*-tone music. Transposing, inversion and retrogradation are
defined to be permutations on the sets of "musical objects". These
permutations generate permutation groups, and these groups induce
equivalence relations on the sets of "musical objects". The aim of this
article is to determine the number of equivalence classes (I will call them
patterns) of "musical objects". Pólya's enumeration theory is the right
tool to solve this problem.

In the first chapter I will present a short survey of parts of Pólya's counting theory. In the second chapter I will investigate several "musical objects".

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