Pythagorean tuning
Pythagorean tuning is a musical tuning system based on the mathematical ratios of whole numbers, specifically using the intervals of perfect fifths and fourths. It derives from the ancient Greek philosopher Pythagoras's work with harmonics. In this system, the frequency of each note is determined by simple fractions, creating harmonious relationships. For instance, the ratio of frequencies for a perfect fifth is 3:2. This system emphasizes consonance and has been historically important in Western music, although it can lead to tuning discrepancies, particularly in instruments capable of playing in multiple keys.
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Pythagorean tuning is a musical system based on the relationships between the frequencies of notes, derived from mathematical ratios. It uses simple fractions, particularly 3:2 and 4:3, to create intervals that sound harmonious. This tuning system emphasizes perfect fifths and fourths, resulting in a bright, clear sound. Originating from ancient Greek music theory and linked to the work of Pythagoras, it differs from modern tuning methods like equal temperament, which distributes the octave into equal parts. Pythagorean tuning is appreciated for its mathematical beauty and historical significance in the development of Western music.