Music: A Mathematical Offering – Dave Benson – 1st Edition


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 story is long as well as broad and involves physics; biology; psycho acoustics; the history of science; and digital technology as well as; of course; mathematics and music. Starting with the structure of the human ear and its relationship with Fourier analysis; the story proceeds via the mathematics of musical instruments to the ideas of consonance and dissonance; and then to scales and temperaments. This is a must-have book if you want to know about the music of the spheres or digital music and many things in between.

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  • Frontmatter


    1 Waves and harmonics
    2 Fourier theory
    3 A mathematician´s guide to the orchestra
    4 Consonance and dissonance
    5 Scales and temperaments: the fivefold way
    6 More scales and temperaments
    7 Digital music
    8 Synthesis
    9 Symmetry in music
    Appendix A- Bessel fuctions
    Appendix B Equal tempered scales
    Appendix C Frequency and MIDI chart
    Apendix D Intervals
    Appendix E Just, equal and meantone scales compared
    Appendix F Music theory
    Appendix G Recordings

  • Citation
    • Full Title: Music: A Mathematical Offering
    • Author/s:
    • ISBN-10: 521853877
    • ISBN-13: 9780521853873
    • Edition: 1st Edition
    • Topic: Other Topics
    • Subtopic: Music
    • File Type: eBook
    • Idioma: English

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