Estructura jerárquica de invariantes en la Klavierstück VII de Karlheinz Stockhausen

Abstract

This paper presents a part of the results of the research project ‘Aplicaciones musicales de conjuntos y matrices combinatorias de grados cromáticos’ (UNQ, 2009-2013) related to the relevance and formalization of some aspects of the pitchclass structure in the musical organization. The aspect addressed here is ‘invariant structure’, defined as the particular organization based on the repetition of pitchclasses. In the first part we discuss the theoretical basis of invariant structure, and in the second part its pertinence in the musical organization is shown through the analysis of the Piano Piece #7 by Karlheinz Stockhausen.