As Within, So Without

Music of the Spheres


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“There is geometry in the humming of the strings. There is harmony in the spacing of the spheres.” -Pythagoras

The Music of the Spheres, or Musica Universalis, incorporates the metaphysical principle that mathematics can express "tones" of energy which manifest in numbers, shapes, and sounds. These magical ratios appear in geography, biology astronomy, mathematics, music theory, history, and more. In this episode, we discuss Pythagoras, Johannes Kepler, and even quantum physics. 

Key Points

  • Some biographical and contextual information on the key figures of Pythagoras and Kepler.
  • Connecting mathematics and music via musical ratios and tuning systems.
  • Connecting astronomy and mathematics via Kepler’s use of the Platonic solids.
  • Issues in the scientific and mathematical accuracy regarding these attempts to connect various schools of thought to create a grand harmony of the universe.
  • An exploration into quantum physics and questioning into whether or not there is harmony in the particle-wave duality.
  • Some philosophical conclusions on a macro level. 

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As Within, So WithoutBy As Within, So Without Podcast

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