Music and Math
"Music is the harmonization of opposites, the unification of disparate things, and the conciliation of warring elements...Music is the basis of agreement among things in nature and of the best government in the universe. As a rule it assumes the guise of harmony in the universe, of lawful government in a state, and of a sensible way of life in the home. It brings together and unites." - The Pythagoreans. Every school student will recognize his name as the originator of that theorem which offers many cheerful facts about the square on the hypotenuse. Many European philosophers will call him the father of philosophy. Many scientists will call him the father of science. To musicians, nonetheless, Pythagoras is the father of music. According to Johnston, it was a much told story that one day the young Pythagoras was passing a blacksmith's shop and his ear was caught by the regular intervals of sounds from the anvil. When he discovered that the hammers were of different weights, it occurred to him that the intervals might be related to those weights. Pythagoras was correct. Pythagorean philosophy maintained that all things are numbers. Based on the belief that numbers were the building blocks of everything, Pythagoras began l
Similarly, Pythagoras studied strings of different thickness stretched over altered lengths, and found another instance of numeric, musical correspondence. He discovered the initial length generated the strings primary tone, while dissecting the string in half yielded an octave, thirds produced a fifth, quarters produced a fourth, and fifths produced a third. "The circumstances around Pythagoras' discovery in relation to strings and their resonance is astounding, and these catalyzed the production of stringed instruments." (Benade, 1976). Johnston, Ian. (1989). Measured Tones. New York: IOP Publishing.
Some common words found in the essay are:
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Approximate Word count = 1377
Approximate Pages = 6 (250 words per page double spaced)
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