How does Harmony unify the Greek quadrivium throughout history? - PowerPoint PPT Presentation

 Intro to Kepler  Kepler video  How does Harmony unify the Greek quadrivium throughout history?  Pythagoras  Harmony Calculator demo  Plato  Ptolemy  more Kepler  astronomy and music theory details  SolarMusic demo  Einstein  Conclusion

Nothing holds me back. I am free to give myself up to the sacred madness… The die is cast, and I am writing the book – whether to be read by my contemporaries or by posterity matters not. Let it await its reader for a hundred years... Johannes Kepler

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Music and astronomy?

Musica mundana studied the process and harmony of the universe. Musica humana unified and mediated between the human body and soul. Musica instrumentalis is music as performed by humans

Is the universe comprehensible to humans?

Pythagoras

Plato

Ptolemy

Statue of Harmonia: The Harmony Society gardens in Old Economy Village, Pennsylvania

Pythagoras

Pythagorean Theorem

Pythagorean Tuning

Tetraktys

Tuning Systems

Demo Harmony Calculator

Plato with Aristotle

Ptolemy

Ptolemaic Model

Major Third

Johannes Kepler (1571-1630)

Angular Velocity

Saturn’s aphelial motion=G Saturn’s perihelial motion=G Extreme Motion 4’30” 4’30” Jupiter aphelial G 3’49” Earth’s perihelial 3’35” E 3’34” Earth’s aphelial 3’34” 3’36” G D# 3’17” Mars’s aphelial 3’21” 3’23” F# D 3’3” Venus’s perihelial 3’0” C 3’0” 2’58” Mercury perihelial E 2’58” Venus’s aphelial 2’58” E 2’45” Jupiter’s perihelial 2’41” 2’42” D Bb 2’34” 2’30” 2’32” Mercury aphelial C# A 2’23” Mars’s perihelial 2’23” C 2’15” Jupiter’s aphelial 2’14” B 2’15” Saturn’s perihelial 2’14” 2’15” B G 1’46” Saturn’s aphelial 1’46” G

Demo

Albert Einstein (1879-1955)