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It is well known that in his pursuit of “ Cosmic Harmony ,” Johannes Kepler believed that the planets were singing musical scales as the speeds of their orbits varied. In no small part because of his Laws of Planetary motion , we now know that these varying speeds are due to orbital eccentricities. It turns out that the eccentricity of the orbit of each planet known in Kepler’s time can be used to calculate the numerical frequency-ratio for the musical interval spanned by the scale Kepler believed each planet was singing. This talk will provide some background on&amp;nbsp;&amp;nbsp;Kepler’s ideas about “Cosmic Harmony,” the mathematics of musical intervals and scales and describe the derivation of the expression used and report the results.

AAPT WM 21

Kepler’s Cosmic Harmony, Orbital Eccentricities &amp; Musical Intervals

musical intervals

eccentricity

orbit

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It is well known that in his pursuit of “ Cosmic Harmony ,” Johannes Kepler believed that the planets were singing musical scales as the speeds of their orbits varied. In no small part because of his Laws of Planetary motion , we now know that these varying speeds are due to orbital eccentricities. It turns out that the eccentricity of the orbit of each planet known in Kepler’s time can be used to calculate the numerical frequency-ratio for the musical interval spanned by the scale Kepler believed each planet was singing. This talk will provide some background on&nbsp;&nbsp;Kepler’s ideas about “Cosmic Harmony,” the mathematics of musical intervals and scales and describe the derivation of the expression used and report the results.

Kepler’s Cosmic Harmony, Orbital Eccentricities & Musical Intervals

technical paper

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AstroNotes: Where Astronomy is a Verb

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Scientists Views on Ethics in their Research

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Student Experiences with Emergency Remote Teaching in Fall 2020

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