2023 | OriginalPaper | Buchkapitel
The Classification Theorem for Global Compositions
verfasst von : Linshujie Zheng, Guerino Mazzola
Erschienen in: Classification of Musical Objects for Analysis and Composition
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This theorem is very involved conceptually and mathematically. We first develop the conceptual framework, which is based on the construction of the resolution of a global composition. Every global composition turns out to be a kind of projection of its resolution. In this context, we discuss systems of functions on resolutions, and we show, how these function systems are used to classify global compositions. From this theory we derive the general classification theorem of global compositions