Pitch Order and Duration Order in Boulez' Structure Ia

Abstract

In his analysis of Boulez' Structure Ia,1 Gy6rgy Ligeti makes relevant comparisons between that work and an important earlier serial composition. Mode de valeurs et d'intensite's, by Olivier Messiaen.2 Division I of Messiaen's composition is based on a twelve-note set that begins with a thirty-second note, and each succeeding duration is increased by that value, so that the last is a dotted quarter note. Ligeti points out that Boulez employed both the pitch set and the duration set from Division I of Mode de valeurs; moreover, Boulez used ordinal

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