The Pythagorean musical ratios
By comparing the sounds made by different monochords and adjust the movable bridges and weights that tended the strings Pythagoras (about 570 - 497 BC) was able to identify the relationship of musical consonance or criteria that had to comply with an order that reflected the universal mathematical beauty and the perfection of nature, in fact for the Pythagoreans the music had an almost religious function. The Pythagorean scale was characterized by intervals of an octave and fifth perfect (1 - 9/8 - 81/64 - 4/3 - 3/2 - 27/16 - 243/128 - 2/1) that to the "modern" ear might seem dissonant, but Pythagoras respected the mathematical harmony and of the numbers more than the feeling given by hearing sounds. To note that the Pythagorean diatonic scale was adopted until the Thousand and six hundred or at least until the time in which Josephus Zarlino from Chioggia (also in polemic with Vincent Galilei) proposed some amendment to "correct" pitch.
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Date: 30/04/2011
article n°: 1567
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