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Pythagoras’s Legacy in the Musical World

Pythagoras’s Legacy in the Musical World. Elisse Lockhart Math 5 Final Project. Hammers and Urns Strings Integer Ratios. Applications of Small Integer Ratios. Music of the Spheres: models of the solar system. Plato’s Version of the Music of the Spheres. Other Connections to Music.

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Pythagoras’s Legacy in the Musical World

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  1. Pythagoras’s Legacy in the Musical World Elisse Lockhart Math 5 Final Project

  2. Hammers and Urns • Strings • Integer Ratios

  3. Applications of Small Integer Ratios • Music of the Spheres: models of the solar system

  4. Plato’s Version of the Music of the Spheres

  5. Other Connections to Music • The Number Three • Nicomachus and Boethius

  6. Pythagoras’s Legacy: • Tuning Systems and Scales • Music of the Spheres

  7. Images from: • www.notam02.no/ renstemming/gafurino.jpg • www.physics.utah.edu/. ../spheres.jpg

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