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  • Exploring Musical Spaces

    A Synthesis of Mathematical Approaches

    by Julian Hook ...
    Series series Oxford Studies in Music Theory
    Exploring Musical Spaces is a comprehensive synthesis of mathematical techniques in music theory, written with the aim of making these techniques accessible to music scholars without extensive prior training in mathematics. The book adopts a visual orientation, introducing from the outset a number of simple geometric models—the first examples of the musical spaces of the book's title—depicting ... Read more

    $65.69 USD

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  • A Geometry of Music

    Harmony and Counterpoint in the Extended Common Practice

    Series series Oxford Studies in Music Theory
    How is the Beatles' "Help!" similar to Stravinsky's "Dance of the Adolescents?" How does Radiohead's "Just" relate to the improvisations of Bill Evans? And how do Chopin's works exploit the non-Euclidean geometry of musical chords? In this groundbreaking work, author Dmitri Tymoczko describes a new framework for thinking about music that emphasizes the commonalities among styles from medieval ... Read more

    $65.69 USD

  • Composing Electronic Music

    A New Aesthetic

    by Curtis Roads ...
    Electronic music evokes new sensations, feelings, and thoughts in both composers and listeners. Opening the door to an unlimited universe of sound, it engages spatialization as an integral aspect of composition and focuses on sound transformation as a core structural strategy. In this new domain, pitch occurs as a flowing and ephemeral substance that can be bent, modulated, or dissolved into noise ... Read more

    $52.19 USD

  • Twentieth-Century Music Theory and Practice

    Twentieth-Century Music Theory and Practice introduces a number of tools for analyzing a wide range of twentieth-century musical styles and genres. It includes discussions of harmony, scales, rhythm, contour, post-tonal music, set theory, the twelve-tone method, and modernism. Recent developments involving atonal voice leading, K-nets, nonlinearity, and neo-Reimannian transformations are also ... Read more

    $115.99 USD

  • Concrete Mathematics

    A Foundation for Computer Science

    This book introduces the mathematics that supports advanced computer programming and the analysis of algorithms. The primary aim of its well-known authors is to provide a solid and relevant base of mathematical skills - the skills needed to solve complex problems, to evaluate horrendous sums, and to discover subtle patterns in data. It is an indispensable text and reference not only for computer ... Read more

    $77.39 USD

  • Music: A Mathematical Offering

    by Dave Benson ...
    Since the time of the Ancient Greeks, much has been written about the relation between mathematics and music: from harmony and number theory, to musical patterns and group theory. Benson provides a wealth of information here to enable the teacher, the student, or the interested amateur to understand, at varying levels of technicality, the real interplay between these two ancient disciplines. The ... Read more

    $30.39 USD

  • Form and Method: Composing Music

    The Rothschild Essays

    Series series Contemporary Music Studies
    First Published in 2007. This volume is a collection of a series of six illustrated lectures that demonstrate a picture of the author’s evolved thinking about the composing of music: both from a more general, overall perspective and from that of the particular moment-to-moment decision making that, gradually accumulating, brings a whole into being. ... Read more

    $79.99 USD

  • Microtonality and the Tuning Systems of Erv Wilson

    Series series Routledge Studies in Music Theory
    This book explores the emerging area of microtonality through an examination of the tuning theories of Erv Wilson. It is the first publication to offer a broad discussion of this influential theorist whose innovations have far-reaching ramifications for microtonal tuning systems. This study addresses the breadth and complexity of Wilson’s work by focusing on his microtonal keyboard designs as a ... Read more

    $61.99 USD

  • A Course in Combinatorics

    This is the second edition of a popular book on combinatorics, a subject dealing with ways of arranging and distributing objects, and which involves ideas from geometry, algebra and analysis. The breadth of the theory is matched by that of its applications, which include topics as diverse as codes, circuit design and algorithm complexity. It has thus become essential for workers in many scientific ... Read more

    $97.59 USD

  • Tonality and Transformation

    by Steven Rings ...
    Series series Oxford Studies in Music Theory
    Tonality and Transformation is a groundbreaking study in the analysis of tonal music. Focusing on the listener's experience, author Steven Rings employs transformational music theory to illuminate diverse aspects of tonal hearing - from the infusion of sounding pitches with familiar tonal qualities to sensations of directedness and attraction. In the process, Rings introduces a host of new ... Read more

    $40.49 USD

  • Music and Twentieth-Century Tonality

    Harmonic Progression Based on Modality and the Interval Cycles

    Series series Routledge Studies in Music Theory
    This book explores the web of pitch relations that generates the musical language of non-serialized twelve-tone music and supplies both the analytical materials and methods necessary for analyses of a vast proportion of the 20th century musical repertoire. It does so in a simple, clear, and systematic manner to promote an easily accessible and global understanding of this music. Since the ... Read more

    $70.99 USD

  • Categories for the Working Mathematician

    Series series Mathematics and Statistics (R0)
    Categories for the Working Mathematician provides an array of general ideas useful in a wide variety of fields. Starting from the foundations, this book illuminates the concepts of category, functor, natural transformation, and duality. The book then turns to adjoint functors, which provide a description of universal constructions, an analysis of the representations of functors by sets of ... Read more

    $62.99 USD