Pythagoras’ scientific accomplishments include the discovery of the ‘Pythagorean theorem’ of geometry, and the mathematical formulation of musical scales/harmonics. He also developed a spiritually-based system of ethics. read more
In this way, Pythagoras described the first four overtones which create the common intervals which have become the primary building blocks of musical harmony: the octave (1:1), the perfect fifth (3:2), the perfect fourth (4:3) and the major third (5:4). read more
Pythagoras's followers were commonly called "Pythagoreans." For the most part we remember them as philosophical mathematicians who had an influence on the beginning of axiomatic geometry, which after two hundred years of development was written down by Euclid in The Elements. read more