The Topos of Music III: Gestures PDF Download

Author: Guerino Mazzola
Publisher: Springer
ISBN: 3319644815
Category : Mathematics
Languages : en
Pages : 604

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Book Description
This is the third volume of the second edition of the now classic book “The Topos of Music”. The authors present gesture theory, including a gesture philosophy for music, the mathematics of gestures, concept architectures and software for musical gesture theory, the multiverse perspective which reveals the relationship between gesture theory and the string theory in theoretical physics, and applications of gesture theory to a number of musical themes, including counterpoint, modulation theory, free jazz, Hindustani music, and vocal gestures.

Author: Guerino Mazzola
Publisher: Birkhäuser
ISBN: 303488141X
Category : Mathematics
Languages : en
Pages : 1310

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Book Description
With contributions by numerous experts

Author: Guerino Mazzola
Publisher: Springer
ISBN: 3319644440
Category : Mathematics
Languages : en
Pages : 408

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Book Description
This is the second volume of the second edition of the now classic book “The Topos of Music”. The author explains his theory of musical performance, developed in the language of differential geometry, introducing performance vector fields that generalize tempo and intonation. The author also shows how Rubato, a software platform for composition, analysis, and performance, allows an experimental evaluation of principles of expressive performance theories.

Author: Guerino Mazzola
Publisher: Springer
ISBN: 9783319644332
Category : Mathematics
Languages : en
Pages : 1580

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Book Description
This four-volume set is the second edition of the now classic book “The Topos of Music”. In Vol. I the author explains the theory's conceptual framework of denotators and forms, the classification of local and global musical objects, the mathematical models of harmony and counterpoint, and topologies for rhythm and motives. In Vol. II the author explains his theory of musical performance, developed in the language of differential geometry, introducing performance vector fields that generalize tempo and intonation. Volume III presents gesture theory, including a gesture philosophy for music, the mathematics of gestures, concept architectures and software for musical gesture theory, the multiverse perspective which reveals the relationship between gesture theory and the string theory in theoretical physics, and applications of gesture theory to a number of musical themes, including counterpoint, modulation theory, free jazz, Hindustani music, and vocal gestures. Finally, Vol. IV contains appendices, explaining background topics in sound, mathematics, and music.

Author: Guerino Mazzola
Publisher: Cambridge Scholars Publishing
ISBN: 1527501574
Category : Music
Languages : en
Pages : 149

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Book Description
This book fills a gap between theory and creativity in musicianship. This frequently observed gap fixes theory as a rigidified level of thought, where creativity is excluded from a canonized corpus of ideas. Creativity, on the other hand, is preconceived as a theory-less, wild activity that blossoms while performing pre-composed musical structures. This book provides a discussion of the creative drive in theory and theory-inspired thoughts while understanding how these ideas shape performance. The future of music is only as limited as one’s imagination, and, to this end, the text illuminates examples of creative musicianship.

Author: Linshujie Zheng
Publisher: Springer Nature
ISBN: 3031301838
Category : Mathematics
Languages : en
Pages : 156

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Book Description
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.

Author: Guerino Mazzola
Publisher: Springer
ISBN: 3319644955
Category : Mathematics
Languages : en
Pages : 325

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Book Description
This is the fourth volume of the second edition of the now classic book “The Topos of Music”. The author presents appendices with background material on sound and auditory physiology; mathematical basics such as sets, relations, transformations, algebraic geometry, and categories; complements in physics, including a discussion on string theory; and tables with chord classes and modulation steps.

Author: Guerino Mazzola
Publisher: Springer
ISBN: 3319643649
Category : Mathematics
Languages : en
Pages : 656

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Book Description
This is the first volume of the second edition of the now classic book “The Topos of Music”. The author explains the theory's conceptual framework of denotators and forms, the classification of local and global musical objects, the mathematical models of harmony and counterpoint, and topologies for rhythm and motives.

Author: Guerino Mazzola
Publisher: Springer Nature
ISBN: 3030397092
Category : Mathematics
Languages : en
Pages : 237

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Book Description
The idea of this monograph is to present an overview of decisive theoretical, computational, technological, aesthetical, artistic, economical, and sociological directions to create future music. It features a unique insight into dominant scientific and artistic new directions, which are guaranteed by the authors' prominent publications in books, software, musical, and dance productions. Applying recent research results from mathematical and computational music theory and software as well as new ideas of embodiment approaches and non-Western music cultures, this book presents new composition methods and technologies. Mathematical, computational, and semiotic models of artistic presence (imaginary time, gestural creativity) as well as strategies are also covered. This book will be of interest to composers, music technicians, and organizers in the internet-based music industry, who are offered concrete conceptual architectures and tools for their future strategies in musical creativity and production.

Author: Mariana Montiel
Publisher: World Scientific Publishing
ISBN: 9813235322
Category : Technology & Engineering
Languages : en
Pages : 372

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Book Description
Questions about variation, similarity, enumeration, and classification of musical structures have long intrigued both musicians and mathematicians. Mathematical models can be found from theoretical analysis to actual composition or sound production. Increasingly in the last few decades, musical scholarship has incorporated modern mathematical content. One example is the application of methods from Algebraic Combinatorics, or Topology and Graph Theory, to the classification of different musical objects. However, these applications of mathematics in the understanding of music have also led to interesting open problems in mathematics itself. The reach and depth of the contributions on mathematical music theory presented in this volume is significant. Each contribution is in a section within these subjects: (i) Algebraic and Combinatorial Approaches; (ii) Geometric, Topological, and Graph-Theoretical Approaches; and (iii) Distance and Similarity Measures in Music. remove