尊重 发表于 2025-3-28 14:46:04
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Denotators over General Categoriessoftware 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.宽度 发表于 2025-3-29 00:26:23
Gestural Denotators: A First Overviewo a first step to a software-oriented implementation of gestural perspectives. This generalization generates a powerful conceptual symmetry between compositions and gestures. Both contexts start with simple forms, be it over the category of modules or the category of digraphs. Presheaves over thesePalter 发表于 2025-3-29 04:58:27
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Third Chain Classesird 0, 4 with a minor third 4, 7. Third chains are important in harmony, and we shall demonstrate how they are applied to the management of harmonic contents of general chords. This approach is important for the harmonic analysis of musical compositions.填满 发表于 2025-3-29 13:36:11
1868-0305music.Accessible to mathematically non-trained readers.This book presents and discusses the fundamental topic of classification of musical objects, such as chords, motifs, and gestures. Their classification deals with the exhibition of isomorphism classes. Our structure types include local and globexquisite 发表于 2025-3-29 15:41:22
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Formal Representation of Musical Structuresvestigation of musical objects/structures is the project of their reliable and precise conceptual description. And also being useful for the software management of music. Such a representation should include not only the objects, but also their possible relationships.开玩笑 发表于 2025-3-30 05:21:33
Gestural Denotators: A First Overviewmpositions and gestures. Both contexts start with simple forms, be it over the category of modules or the category of digraphs. Presheaves over these categories then introduce higher compound concepts by one and the same topostheoretical technique starting from Yoneda’s Lemma.