Classification of musical objects for analysis and composition / Linshujie Zheng, Guerino Mazzola.

Format:

Book

Author/Creator:

Zheng, Linshujie, author.

Mazzola, G. (Guerino), author.

Series:

Computational music science

Language:

English

Subjects (All):

Classification--Music.

Classification.

Musical analysis.

Composition (Music).

Physical Description:

xii, 160 pages : illustrations (some color) ; 25 cm.

Place of Publication:

[S.l.] : SPRINGER INTERNATIONAL PU, 2023.

Cham, Switzerland : Springer Nature Switzerland AG, [2023]

Summary:

"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 Beethovens sonatas, and some of the authors 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." -- Provided by publisher.

Contents:

Part I. Initial orientation. The basic problem of classification

Part II. General formal concepts. Ontology, oniontology, and creativity ; Formal representation of musical structures ; Denotators over general categories ; Composition denotators and classification ; Gestural denotators : a first overview ; The Escher theorem for compositions and gestures

Part III. Local classification. Local composition and gesture classification ; Classification of chords ; Motif classes ; Third chain classes ; Harmony through third chains ; Counterpoint worlds ; Strong interval dichotomies ; Microtonal contrapuntal theories ; Dodecaphonic rows

Part IV. Global classification. Global composition and gesture classification ; The classification theorem for global compositions ; The classification problem of global gestures ; Singular homology of hypergestures ; Local gestures, structures of knots, and local gestures as local compositions

Part V. Classification and creativity. Gestural interpretation and future developments

Part VI. References, index. Classification lists.

Notes:

Includes bibliographical references and index.

ISBN:

303130182X

9783031301827

OCLC:

1372133057

Publisher Number:

99994168443