Transformational Networks, Transpositional Combination, and Aggregate Partitions in Processional by George Crumb

Abstract

George Crumb is popularly known as a composer who employs extended instrumental techniques. This characterization could divert attention away from investigating pitch structures in his compositions. Although some theoretical works have begun focusing attention on pitch, the scope of these investigations has been limited to the procedures associated with a limited number of symmetrical sets. Focusing solely on symmetrical sets could overshadow other methods of organizing pitch. Through an analysis of the solo piano work Processional (1983), I will demonstrate that Crumb’s procedures include techniques that link the compositional opportunities symmetrical sets offer to the procedures associated with aggregate-based atonal composition. The analysis will reveal that symmetrical and non-symmetrical set structures in Processional are part of a larger group of relations that include techniques such as aggregate partitions, transpositional combination, and transformational networks. My analysis will also demonstrate how these techniques and the techniques associated with symmetrical sets blend to create a larger compositional universe. Finally, I will suggest a more general model for the various networks that appear in Processional.