Pythagorean Tuning is a system of musical tuning based on the ratios of whole numbers, particularly the ratio of 3:2, which creates a perfect fifth interval. This method derives from the work of the ancient Greek mathematician Pythagoras, who discovered that vibrating strings produce harmonious sounds when their lengths are in simple ratios.
In Pythagorean Tuning, the scale is constructed by stacking perfect fifths, leading to a unique arrangement of notes. While this system creates consonant intervals, it can result in some dissonance in other intervals, making it different from modern tuning systems like Equal Temperament.