Pythagorean tuning
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 uses the harmonic series to derive the frequencies of notes, resulting in a scale that emphasizes consonant intervals.
In this tuning system, each note is derived from the previous one by multiplying or dividing by the ratio of 3:2. While Pythagorean tuning produces pleasing harmonies, it can lead to discrepancies in tuning when played in different keys, a phenomenon known as comma.