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

how does harmony unify the greek quadrivium throughout
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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


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  • 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
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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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Show Video

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Music and astronomy?

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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

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Is the universe comprehensible to humans?

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Pythagoras

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Plato

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Ptolemy

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

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Pythagoras

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Pythagorean Theorem

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Pythagorean Tuning

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Tetraktys

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Tuning Systems

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Demo Harmony Calculator

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Plato with Aristotle

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Ptolemy

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Ptolemaic Model

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Major Third

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Johannes Kepler (1571-1630)

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Angular Velocity

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

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Demo

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Albert Einstein (1879-1955)

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