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The connection between music and mathematics has fascinated scholars for centuries. More than 2000 years ago Pythagoras reportedly discovered that pleasing musical intervals could be described using simple ratios.
The so-called musica universalis or 'music of the spheres' emerged in the Middle Ages as the philosophical idea that the proportions in the movements of the celestial bodies -- the sun, moon and planets -- could be viewed as a form of music, inaudible but perfectly harmonious.
Music is Relative to Geometry...
During Pythagoras' travels through Egypt, Chaldea and India he began to understand the mysteries of harmonious music. He experimented with the creation of lyres/harps, altering string tensions and string lengths to find harmonious tones.
All the tones of the chromatic scale (and the associated Circle of Fifths - B, E, A, D, G, C, F, Bb, Eb, Ab, Db, Gb) are geometrically represented within the end points of a series of perfect expanding circles, rooted from the vesica pisces (center line) of the previous circle.
