Classification of Musical Objects for Analysis and Composition
Zheng, Linshujie.
Classification of Musical Objects for Analysis and Composition [electronic resource] / by Linshujie Zheng, Guerino Mazzola. - 1st ed. 2023. - Cham Springer International Publishing 2023 - XII, 160 p. 33 illus., 25 illus. in color. online resource.
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 global constructions, the latter being similar to global structures in geometry, such as differentiable manifolds. The discussion extends to the role, which classification plays for the creative construction of musical compositions. Our examples include references to classical compositions, such as Beethoven's sonatas, and some of the author's own compositions of classical and jazz styles. We also discuss software that enables the application of classification to musical creativity. The volume is addressed to an audience that would apply classification to programming and creative musical construction.
9783031301834
Applications of Mathematics.
Computational Mathematics and Numerical Analysis.
Mathematics
Mathematics.
Music.
Music.
518
Classification of Musical Objects for Analysis and Composition [electronic resource] / by Linshujie Zheng, Guerino Mazzola. - 1st ed. 2023. - Cham Springer International Publishing 2023 - XII, 160 p. 33 illus., 25 illus. in color. online resource.
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 global constructions, the latter being similar to global structures in geometry, such as differentiable manifolds. The discussion extends to the role, which classification plays for the creative construction of musical compositions. Our examples include references to classical compositions, such as Beethoven's sonatas, and some of the author's own compositions of classical and jazz styles. We also discuss software that enables the application of classification to musical creativity. The volume is addressed to an audience that would apply classification to programming and creative musical construction.
9783031301834
Applications of Mathematics.
Computational Mathematics and Numerical Analysis.
Mathematics
Mathematics.
Music.
Music.
518