Music 1649A/B Lecture Notes - Tetractys, Pythagorean Theorem, Diatessaron

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People aren"t sure if he actually ever lived. Figurehead of a religious brotherhood more than a mathematical/scientific group. Samos journeys across the sea to croton in italy sets up a colony. First 4 numbers had special meaning to the pythagoreans. Tetractys: a triangular figure consisting of 10 points organized into 4 rows corresponding to the first four positive integers. All things are number - particles are all numerically-based arrangements tetractys of addition explicitly arranges to a triangle. 6 and 3 would be triangular numbers because dots are arranged in a row. Prayer to the tetractys showed the cult-like organization that was the. 2:1 simplest ratio of all octave has priority over all the other intervals due to it being a foundational interval. Diapente = fifth shorter string pitch produces a fifth. Shorter string vibrates 3 times for every 2 times the longer string vibrates.

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