Summary
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
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Zheng, L., Mazzola, G. (2023). The Classification Theorem for Global Compositions. In: Classification of Musical Objects for Analysis and Composition. Computational Music Science. Springer, Cham. https://doi.org/10.1007/978-3-031-30183-4_18
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DOI: https://doi.org/10.1007/978-3-031-30183-4_18
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Publisher Name: Springer, Cham
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Online ISBN: 978-3-031-30183-4
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