“There is a good deal more to Pythagorean musical theory than celestial harmony.”

—  John D. Barrow

The Artful Universe (1995)
Context: Ancient belief in a cosmos composed of spheres, producing music as angels guided them through the heavens, was still fluorishing in Elizabethan times.... There is a good deal more to Pythagorean musical theory than celestial harmony. Besides the music of the celestial spheres (musica mundana), two other varieties of music were distinguished: the sound of instruments...(musica instrumentalis), and the continuous unheard music that emanated from the human body (musica humana), which arises from a resonance between the body and the soul.... In the medieval world, the status of music is revealed by its position within the Quadrivium—the fourfold curriculum—alongside arithmetic, geometry, and astronomy. Medieval students... believed all forms of harmony to derive from a common source. Before Boethius' studies in the ninth century, the idea of musical harmony was not considered independently of wider matters of celestial or ethical harmony.<!-- Ch. 5, pp. 201-202

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John D. Barrow 58
British scientist 1952–2020

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