2023 | OriginalPaper | Chapter
The Classification Problem of Global Gestures
Authors : Linshujie Zheng, Guerino Mazzola
Published in: Classification of Musical Objects for Analysis and Composition
Publisher: Springer International Publishing
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According to the description of local gestures using function spaces as described in Section 19.1, it seems reasonable to go parallel to the classification of global compositions. We may consider the system (a complex) of functions $$ \textit{Im} (|g_{i}|)^{\ast} \subset |\vartriangle_{i}|\ast $$ and then step over to the orbits of such function complexes according to the action of the finite permutation group of an underlying global digraph. However, as already shown for the local gesture situation, classification of gestures is not feasible yet. Our discussion will therefore focus on techniques that could help classify gestures in future developments.