Pythagorean tuning is a system of musical tuning in which the frequency ratios of all intervals are based on the ratio 3:2. This ratio, also known as the "pure" perfect fifth, is chosen because it is one of the most consonant and easiest to tune by ear and because of importance attributed to the integer 3. As Novalis put it, "The musical proportions seem to me to be particularly correct natural proportions." Alternatively, it can be described as the tuning of the syntonic temperament in which the generator is the ratio 3:2, which is ≈ 702 cents wide.
The syntonic tuning continuum, showing Pythagorean tuning at 702 cents.
In music, there are two common meanings for tuning:Tuning practice, the act of tuning an instrument or voice.
Tuning systems, the various systems of pitches used to tune an instrument, and their theoretical bases.
Man turning tuning pegs to tune guitar
Tuning of Sébastien Érard harp using Korg OT-120 Wide 8 Octave Orchestral Digital Tuner