Flora Levin explores how and why music was so important to the ancient Greeks.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.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.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 musics 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 musics interconnections with philosophy, mathematics, and logic led to groundbreaking intellectual achievements that no civilization has ever matched.1. All deep things are song; 2. We are all Aristoxenians; 3. The discrete and the continuous; 4. Magnitudes and multitudes; 5. The topology of melody; 6. Aristoxenus of Tarentum and Ptolema?s of Cyrene; 7. Aisthsis and Logos: a single continent; 8. The infinite and the infinitesimal. Sadly, Flora Levin passed away; her death deprives the field of ancient music and mulCs