Pythagorean tuning is a system of musical tuning in which the frequency ratios of all intervals are determined by choosing a sequence of fifths which are "pure" or perfect, with ratio 3 : 2 {\displaystyle 3:2} . This is chosen because it is the next harmonic of a vibrating string, after the octave (which is the ratio 2 : 1 {\displaystyle 2:1} ), and hence is the next most consonant "pure" interval, and the easiest to tune by ear.
Pythagorean tuning is a system of musical tuning in which the frequency ratios of all intervals are determined by choosing a sequence of fifths which are "pure" or perfect, with ratio 3 : 2 {\displaystyle 3:2} . This is chosen because it is the next harmonic of a vibrating string, after the octave (which is the ratio 2 : 1 {\displaystyle 2:1} ), and hence is the next most consonant "pure" interval, and the easiest to tune by ear.
Source: Wikipedia "Pythagorean tuning" · CC BY-SA 4.0
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