## Abstract

This theory was introduced by Guerino Mazzola and is described in detail in [96]. Here we give a summary of the theory that is relevant to the conceptualization of time. In this chapter we shall present a concise, but somehow simplified version of the mathematical theory of musical gestures. We shall restrict our discourse to gestures in topological spaces, not the more general topological categories. There are three components of this theory, which are most important for the present discussion: the definition of gestures, the construction of hypergestures with the Escher theorem, and the definition of gestural morphisms, which entails the concept of the category of gestures that is crucial for our temporal conceptualization in Chapter 11.

Original language | English (US) |
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Title of host publication | Computational Music Science |

Publisher | Springer Nature |

Pages | 133-163 |

Number of pages | 31 |

DOIs | |

State | Published - 2021 |

### Publication series

Name | Computational Music Science |
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ISSN (Print) | 1868-0305 |

ISSN (Electronic) | 1868-0313 |

### Bibliographical note

Publisher Copyright:© 2021, The Author(s), under exclusive license to Springer Nature Switzerland AG.