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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
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