In this book, Flora Levin explores how and why music was so
important to the ancient Greeks. She examines the distinctions that
they drew between the theory of music as an art ruled by number and
the theory wherein number is held to be ruled by the art of music.
These perspectives generated more expansive theories, particularly
the idea that the cosmos is a mirror-image of music s structural
elements and, conversely, that music by virtue of its cosmic
elements time, motion, and the continuum is itself a mirror-image
of the cosmos. These opposing perspectives gave rise to two
opposing schools of thought, the Pythagorean and the Aristoxenian.
Levin argues that the clash between these two schools could never
be reconciled because the inherent conflict arises from two
different worlds of mathematics. Her book shows how the Greeks
appreciation of the profundity of music s interconnections with
philosophy, mathematics, and logic led to groundbreaking
intellectual achievements that no civilization has ever matched."
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