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Musical Variation

Toward a Transformational Perspective

  • Book
  • © 2023

Overview

  • Offers a formal method that is accessible for both musicians and mathematicians
  • Provides a thorough examination of musical variation through a systematic approach
  • Introduces a new transformational-derivative model and its underlying theory

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

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Table of contents (9 chapters)

  1. Decontextualized Variation

  2. Part II

  3. Part III

Keywords

About this book

This book offers an in-depth analysis of musical variation through a systematic approach, heavily influenced by the principles of Grundgestalt and developed variations, both created by the Austrian composer Arnold Schoenberg (1874-1951). The author introduces a new transformational-derivative model and the theory that supports it, specifically crafted for the examination of tonal music.

The idea for this book emerged during a sabbatical at Columbia University, while the content is the product of extensive research conducted at the Federal University of Rio de Janeiro, resulting in the development of the Model of Derivative Analysis. This model places emphasis on the connections between musical entities rather than viewing them as separate entities. As a case study, the Intermezzo in A Major Op.118/2 by Brahms is selected for analysis.

The author's goal is to provide a formal and structured approach while maintaining the text's readability and appeal for both musicians and mathematicians in the field of music theory. The book concludes with the author's recommendations for further research.

Authors and Affiliations

  • School of Music, Federal University of Rio de Janeiro, Rio de Janeiro, Brazil

    Carlos de Lemos Almada

About the author

Carlos de Lemos Almada is a composer and a Professor at the Federal University of Rio de Janeiro's School of Music (UFRJ). He holds a PhD and a Master's degree in Music from Federal University of Rio de Janeiro State (UNIRIO). Additionally, Almada has a degree in Mechanical Engineering from the Fluminense Federal University. He is author of books about popular-music arranging (2001), harmony (2009), and counterpoint (2013), as well as Schoenberg’s Kammersymphony (2016) and Tom Jobim’s harmony (2022).

Bibliographic Information

  • Book Title: Musical Variation

  • Book Subtitle: Toward a Transformational Perspective

  • Authors: Carlos de Lemos Almada

  • Series Title: Computational Music Science

  • DOI: https://doi.org/10.1007/978-3-031-31451-3

  • 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 2023

  • Hardcover ISBN: 978-3-031-31450-6Published: 15 July 2023

  • Softcover ISBN: 978-3-031-31453-7Due: 15 August 2023

  • eBook ISBN: 978-3-031-31451-3Published: 14 July 2023

  • Series ISSN: 1868-0305

  • Series E-ISSN: 1868-0313

  • Edition Number: 1

  • Number of Pages: XXXV, 307

  • Number of Illustrations: 1 b/w illustrations

  • Topics: Mathematics in Music, Applications of Mathematics

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