A Geometry of Music Harmony and Counterpoint in the Extended Common Practice

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By Mohamed Elpohy Posted on Jun 30, 2025
In Category - Music and Arts
DMITRI TYMOCZKO 978-0-19-533667-2 Oxford University Press, Inc 2011
469 English
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When I was about 15 years old, I decided I wanted to be a composer, rather than a
physicist or mathematician. I had recently switched from classical piano to electric
guitar, and although I exhibited no obvious signs of compositional talent, I was fascinated
by the amazing variety of twentieth-century music: the suavely ferocious Rite of
Spring, which made tubas sound cool; the encyclopedic Sgt. Pepper, which contained
multitudes; the hypnotic repetitions of Philip Glass, whose spirit seemed also to infuse
the music of Brian Eno and Robert Fripp; and the geeky sophistication of art rock
and new wave. I was aware of but intimidated by jazz, which seemed to be perpetually
beyond reach, like the gold at the end of a rainbow. (Told by my guitar teacher that
certain chords or scales were jazzy, I would inevitably fi nd that they sounded fl at and
lifeless in my hands.) To a kid growing up in a college town in the 1980s, the musical
world seemed wide open: you could play The Rite of Spring with your rock band, write
symphonies for electric guitars, or do anything else you might imagine.

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