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  • Geometry and Topology in Music

    This book introduces path-breaking applications of concepts from mathematical topology to music-theory topics including harmony, chord progressions, rhythm, and music classification. Contributions address topics of voice leading, Tonnetze (maps of notes and chords), and automatic music classification.Focusing on some geometrical and topological aspects of the representation and formalisation of ... Read more

    $73.99 USD

  • Mathematics of Musical Rhythm

    In Memoriam Godfried Toussaint

    This book presents original research applying mathematics to musical rhythm, with a focus on computational methods, theoretical approaches, analysis of rhythm in folk and global music traditions, syncopation, and maximal evenness. It honours the legacy of computer scientist and music theorist Godfried Toussaint.In addition to addressing a topic pioneered by Toussaint, application of mathematics to ... Read more

    $73.99 USD

  • Organized Time

    Rhythm, Tonality, and Form

    by Jason Yust ...
    Series series Oxford Studies in Music Theory
    Organized Time is the first attempt to unite theories of harmony, rhythm and meter, and form under a common idea of structured time. Building off of recent advances in music theory in essential subfields-rhythmic theory, tonal structure, and the theory of musical form--author Jason Yust demonstrates that tonal music exhibits similar hierarchical organization in each of these dimensions. Yust ... Read more

    $44.09 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

  • From Music to Mathematics

    Exploring the Connections

    A guided tour of the mathematical principles inherent in music.Taking a "music first" approach, Gareth E. Roberts's From Music to Mathematics will inspire students to learn important, interesting, and at times advanced mathematics. Ranging from a discussion of the geometric sequences and series found in the rhythmic structure of music to the phase-shifting techniques of composer Steve Reich, the ... Read more

    $43.99 USD

  • Maths Paper MP201704P Prime Numbers

    MP201704P

    Series series Prime Numbers
    Ths Papaer outlines the newly discovered {@ April 2017} double intertwined Wave EQUATION for the Prime Numbers, which precisely explains the Randomness of the Prime and the Prime Gap Distribution. The Equation precisely describes the Primes as an Inter ference Wave Patttern and the reason it has been so difficult to determine is the length; for just the first 7 Prime Numbers the pattern length is ... Read more

    $2.72 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

  • Improvising Jazz

    by Jerry Coker ...
    With musical scores and helpful charts, noted jazz educator and featured jazz soloist, Jerry Coker, gives the beginning performer and the curious listener insights into the art of jazz improvisation.Improvising Jazz gives the beginning performer and the curious listener alike insights into the art of jazz improvisation. Jerry Coker, teacher and noted jazz saxophonist, explains the major concepts ... Read more

    $10.99 USD

  • Melody in Songwriting

    Tools and Techniques for Writing Hit Songs

    (Berklee Guide). Melody is a subject too often neglected in the teaching of music. This unique resource gives melody that attention it deserves, and proves that melody writing is a skill that can be learned. Through proven tool and techniques, you will learn to write interesting melodies, how melodic rhythm influences rhyme, what makes harmony progress, and the many dynamic relationships between ... Read more

    $25.19 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

  • Data Assimilation Fundamentals

    A Unified Formulation of the State and Parameter Estimation Problem

    Series series Springer Textbooks in Earth Sciences, Geography and Environment
    This open-access textbook's significant contribution is the unified derivation of data-assimilation techniques from a common fundamental and optimal starting point, namely Bayes' theorem. Unique for this book is the "top-down" derivation of the assimilation methods. It starts from Bayes theorem and gradually introduces the assumptions and approximations needed to arrive at today's popular data ... Read more

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