Pythagorean tuning

Fifth-based pitch system

Pythagorean tuning is a system for tuning musical instruments based on intervals derived from the ratio 3:2, which produces the pure perfect fifth.

By stacking these fifths, all twelve notes of the chromatic scale can be generated.

The system creates pure fifths but yields thirds that sound harsh compared to later tuning systems.

Pythagorean tuning dominated Western music through the medieval period before giving way to meantone and eventually equal temperament.

Related

Aristoxenus · perfect fifth · frequency · chromatic scale · octave · medieval music · modes · lyre · consonance · music theory · Plato · overtones · string instruments · string length · semitones · mathematical · vibration · spiral

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tuning system philosophy

Pythagorean tuningequal temperament

Uniform pitch division system

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tuning, Pythagoras, Pythagorean theorem

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Used worldwide · Timeless · Abstract · Rated G