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Making Musical Time

  • Book
  • © 2021

Overview

Authors:
  1. Guerino Mazzola

    1. School of Music, University of Minnesota, Minneapolis, USA

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  2. Alex Lubet

    1. School of Music, University of Minnesota, Minneapolis, USA

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  3. Yan Pang

    1. School of Music, University of Minnesota, Minneapolis, USA

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  4. Jordon Goebel

    1. School of Music, University of Minnesota, Minneapolis, USA

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  5. Christopher Rochester

    1. School of Music, University of Minnesota, Minneapolis, USA

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  6. Sangeeta Dey

    1. School of Music, University of Minnesota, Minneapolis, USA

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  • Applies concepts and methods to the concrete making of time in composition and performance
  • A new mathematically explicit, precise theory of time in music
  • First work of its kind

Part of the book series: Computational Music Science (CMS)

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Table of contents (17 chapters)

  1. Front Matter

    Pages i-xiii
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  2. Ontological Orientation

    1. Front Matter

      Pages 1-1
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    2. Ontology, Oniontology, and the Artistic Presence

      • Guerino Mazzola, Alex Lubet, Yan Pang, Jordon Goebel, Christopher Rochester, Sangeeta Dey
      Pages 3-9

  3. General Time Concepts

    1. Front Matter

      Pages 11-11
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    2. Time in Philosophy

      • Guerino Mazzola, Alex Lubet, Yan Pang, Jordon Goebel, Christopher Rochester, Sangeeta Dey
      Pages 13-31

    3. Time in Physics

      • Guerino Mazzola, Alex Lubet, Yan Pang, Jordon Goebel, Christopher Rochester, Sangeeta Dey
      Pages 33-41

    4. Time in Cultures, History and Present

      • Guerino Mazzola, Alex Lubet, Yan Pang, Jordon Goebel, Christopher Rochester, Sangeeta Dey
      Pages 43-82

    5. Genealogy and Ontology of Human Time Perception

      • Guerino Mazzola, Alex Lubet, Yan Pang, Jordon Goebel, Christopher Rochester, Sangeeta Dey
      Pages 83-105

  4. Musical Time Concepts

    1. Front Matter

      Pages 107-107
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    2. Meters and Rhythm

      • Guerino Mazzola, Alex Lubet, Yan Pang, Jordon Goebel, Christopher Rochester, Sangeeta Dey
      Pages 109-121

    3. Structures of Organized Time

      • Guerino Mazzola, Alex Lubet, Yan Pang, Jordon Goebel, Christopher Rochester, Sangeeta Dey
      Pages 123-132

    4. Musical Gestures

      • Guerino Mazzola, Alex Lubet, Yan Pang, Jordon Goebel, Christopher Rochester, Sangeeta Dey
      Pages 133-163

    5. Kramer’s Time Concepts Summary.

      • Guerino Mazzola, Alex Lubet, Yan Pang, Jordon Goebel, Christopher Rochester, Sangeeta Dey
      Pages 165-169

    6. Distributed Identity in Music

      • Guerino Mazzola, Alex Lubet, Yan Pang, Jordon Goebel, Christopher Rochester, Sangeeta Dey
      Pages 171-175

  5. New Developments on Musical Time Concepts

    1. Front Matter

      Pages 177-177
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    2. Limits of Gestural Diagrams

      • Guerino Mazzola, Alex Lubet, Yan Pang, Jordon Goebel, Christopher Rochester, Sangeeta Dey
      Pages 179-183

    3. Imaginary Time

      • Guerino Mazzola, Alex Lubet, Yan Pang, Jordon Goebel, Christopher Rochester, Sangeeta Dey
      Pages 185-187

    4. Modeling Kramer’s Time Concepts

      • Guerino Mazzola, Alex Lubet, Yan Pang, Jordon Goebel, Christopher Rochester, Sangeeta Dey
      Pages 189-192

    5. Semiotics of Time

      • Guerino Mazzola, Alex Lubet, Yan Pang, Jordon Goebel, Christopher Rochester, Sangeeta Dey
      Pages 193-197

    6. Goebel, Pang, and Rochester: Applications

      • Guerino Mazzola, Alex Lubet, Yan Pang, Jordon Goebel, Christopher Rochester, Sangeeta Dey
      Pages 199-241
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Keywords

About this book

This book is a comprehensive examination of the conception, perception, performance, and composition of time in music across time and culture. It surveys the literature of time in mathematics, philosophy, psychology, music theory, and somatic studies (medicine and disability studies) and looks ahead through original research in performance, composition, psychology, and education. It is the first monograph solely devoted to the theory of construction of musical time since Kramer in 1988, with new insights, mathematical precision, and an expansive global and historical context.

The mathematical methods applied for the construction of musical time are totally new. They relate to category theory (projective limits) and the mathematical theory of gestures. These methods and results extend the music theory of time but also apply to the applied performative understanding of making music. In addition, it is the very first approach to a constructive theory of time, deduced from the recent theory of musical gestures and their categories.

Making Musical Time is intended for a wide audience of scholars with interest in music. These include mathematicians, music theorists, (ethno)musicologists, music psychologists / educators / therapists, music performers, philosophers of music, audiologists, and acousticians.


Authors and Affiliations

  • School of Music, University of Minnesota, Minneapolis, USA

    Guerino Mazzola, Alex Lubet, Yan Pang, Jordon Goebel, Christopher Rochester, Sangeeta Dey

Bibliographic Information

  • Book Title: Making Musical Time

  • Authors: Guerino Mazzola, Alex Lubet, Yan Pang, Jordon Goebel, Christopher Rochester, Sangeeta Dey

  • Series Title: Computational Music Science

  • DOI: https://doi.org/10.1007/978-3-030-85629-8

  • Publisher: Springer Cham

  • eBook Packages: Computer Science, Computer Science (R0)

  • Copyright Information: The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2021

  • Hardcover ISBN: 978-3-030-85628-1Published: 16 November 2021

  • Softcover ISBN: 978-3-030-85631-1Published: 17 November 2022

  • eBook ISBN: 978-3-030-85629-8Published: 15 November 2021

  • Series ISSN: 1868-0305

  • Series E-ISSN: 1868-0313

  • Edition Number: 1

  • Number of Pages: XIII, 265

  • Number of Illustrations: 60 b/w illustrations, 40 illustrations in colour

  • Topics: Category Theory, Homological Algebra, Mathematics Education

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