The practicability or usefulness of the mathematics as well as the fact that the mathematical instruments were identifiable with the real world contributed to the rise of the Pythagorean strain of Greek mathematics The fact that numbers used by the Greeks at the time of Pythagoras were those expressible as ratios of two integers meant …
The Pythagoreans were a mystical group , and Pythagoras himself identified numbers with mysticism It is possible that Pythagoras saw the knotted triangle in Egypt and went about assigning a numerical value to the geometry of the triangle Nothing of his was written down , though , and while the theorem is attributed to him …
Aug 15, 2005 Pythagorean Influence on Music ———————————– Pythagorean Philosophy and its influence on Musical Instrumentation and Composition “Music is the harmonization of opposites, the unification of disparate things, and the conciliation of warring elements … Revolutionizing music, Pythagoras’ findings generated theorems and standards for musical scales, relationships, instruments, and creative formation … Thus, Pythagoras’ …
He quotes Proclos, a commentator of Euclid’s elements, “if we listen to those who wish to recount the ancient history we may find some who refer this theorem to Pythagoras, and say that he sacrificed an ox in honor of his discovery … Trigonometry uses the fact that ratios of pairs of sides of triangles …
Revolutionizing music, Pythagoras’ findings generated theorems and standards for musical scales, relationships, instruments, and creative formation … Thus, Pythagoras’ relationship between numbers and music had a profound influence on future musical education, instrumentation, and composition … As clearly stated above, Pythagoras’ correlation between music and numbers influenced musical members in every aspect of musical creation …