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Published in:
2023 | OriginalPaper | Chapter
Local Gestures, Structures of Knots, and Local Gestures as Local Compositions
Authors : Linshujie Zheng, Guerino Mazzola
Published in: Classification of Musical Objects for Analysis and Composition
Publisher: Springer International Publishing
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This section discusses the classification problem of gestures for the special case of circular gestures, which in mathematics are known as knots. Knots cannot be classified yet. We compare the category of local compositions to the category of gestures and discuss essential differences. For the special case of topological $$ \mathbb{R} $$ -vector spaces, we present a method to envisage and classify gestures and local compositions on a common ground.