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2,500 years ago (~500BC), the Greek mathematician, Pythagoras, was the first to realize that harmonious musical tones are derived from a natural geometric pattern.
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 Pythagoras - circa 500 bc
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.
Pythagoras discovered the geometry and associated mathematical ratios behind modern western music. He found specific patterns and spacing in the sounds of notes that harmonized together. He is the first known teacher of "The Geometry Behind Music" and in general, the first known music teacher outside of the environment of a temple or other religious institution.
The Music of the Circles
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.
This same geometric pattern occurs in all types of musical instruments - spacing of frets on a guitar, spacing of holes in wind instruments, length of piano wires, length of organ tubes, etc...
"There is a geometry in the humming of the strings" - Pythagoras
Questions or Comments? - jason@bananas.com
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