Titlebook: Classification of Musical Objects for Analysis and Composition; Linshujie Zheng,Guerino Mazzola Book 2023 The Editor(s) (if applicable) an

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978-3-031-30185-8The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl

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https://doi.org/10.1007/978-3-319-91920-1 artistic perspective of classification, in particular its often subconscious presence while musical creativity is operated. A basis of any serious investigation of musical objects/structures is the project of their reliable and precise conceptual description. And also being useful for the software

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Lyubomir Pozharliev,Danae Gallo Gonzálezsoftware RUBATO.. However, with regard to the newer concepts of musical gestures, we now extend forms and denotators from module categories to include directed graph topoi as well as topological categories.

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https://doi.org/10.1007/978-3-030-99914-8This initial chapter deals with the very definition of classification. Such a definition must specify the structures to be dealt with and also the relationships among these structures.

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https://doi.org/10.1007/978-3-030-99914-8This short chapter introduces first the global architecture of ontology of music, which this book is going to use extensively as an initial classifying perspective.

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Sigrun Marie Moss,Hajj Mohammed HajjThe Escher Theorem establishes an isomorphism (classification) among hyperdenotator (denotators of denotators) sets for a sequence of addresses, i.e., modules or digraphs. It establishes an isomorphism between different permutations of address sequences when applied to simple forms.