Pythagoras

1
Pythagorass 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
Platos Version of the Music of the Spheres
5
Other Connections to Music

• The Number Three
• Nicomachus and Boethius

6
Pythagorass Legacy

• Tuning Systems and Scales
• Music of the Spheres

7
Images from

• www.notam02.no/ renstemming/gafurino.jpg
• www.physics.utah.edu/. ../spheres.jpg