The discovery of the precise relation between the pitch of the musical note and the length of the string that produces it is attributed to Pythagoras. The Harmony of the Spheres incorporates the metaphysical principle that mathematical relationships express qualities or “tones” of energy which manifest in numbers, visual angles, shapes and sounds – all connected within a pattern of proportion. Pythagoras first identified that the pitch of a musical note is in inverse proportion to the length of the string that produces it, and that intervals between harmonious sound frequencies form simple numerical ratios. In a theory known as the Harmony of the Spheres, Pythagoras proposed that the Sun, Moon and planets all emit their own unique hum based on their orbital revolution, and that the quality of life on Earth reflects the tenor of celestial sounds which are physically imperceptible to the human ear. Subsequently, Plato described astronomy and music as “twinned” studies of sensual recognition: astronomy for the eyes, music for the ears, and both requiring knowledge of numerical proportions.
Aristotle is the first in giving a critical exposition of the pythagorean notion of the harmony of the spheres. “We should see evidently, after all that proceedes, that, when they talk to us about a harmony resultant of the movement of those bodies, same as the harmony of the sounds that are entwined, there is brilliant comparison being done undoubtedly, but vain; that is not the truth nowise. There are indeed people [the pythagoreans] that figures out that the movement of bodies so big (the planets) must produce necessarily noise, because we hear all around us the noises that bodies without mass nor a speed as equal as the Sun of the Moon. Because of that, one believes being authorized to conclude that stars so numerous and immense cannot go by there making translations moves without making any intense noise. Admitting at first this hypothesis, and supposing that these bodies, thanks to its respective distances, they are for its speed in the same proportion than harmonies, this philosophers come to pretend that the star’s voice, which moves into circles, is harmonious. But as it would be very surprising that we did not hear that pretentious voice, it explain us the cause, saying that noise is in our ears since our birth date. This causes that we cannot tell the noise, the thing is, we have never had the contrast of silence which would be its opposite: because voice and silence make themselves distinguishable the one to the other”.
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