describe the contributions pythagoras made to the greek understanding of music
- mathematical understanding of sound wave ratios to ancient Greek society.
- strings vibrated at different rates for different intervals: an octave vibrated at 2:1, a
- perfect fifth at 3:2, a perfect fourth at 4:3, and a whole tone at 9:8.
- These intervals became the basis for the tetrachord and Greek octave/two-octave scale.
- Pythagorean tuning consisted of instruments tuned to perfect octaves and perfect fifths
- rather than thirds and sixths.
- endured until the Renaissance Era.