2:1
He discovered the ratio of a perfect octave is 2:1.
perfect fourth !
A perfect octave
Pythagoras discovered that the interval of an octave can be represented by the ratio 2:1. This means that if one note has a frequency of ( f ), the note an octave higher will have a frequency of ( 2f ). This ratio is fundamental in music theory, as it creates a harmonious sound that is pleasing to the ear. Pythagoras's work laid the groundwork for understanding musical scales and the mathematical relationships between different pitches.
He discovered the ratio interval of a perfect octave is 2:1.
Perfect
Perfect fourth
Perfect
Perfect
Perfect octave.
Pythagoras discovered that the ratio for creating an interval of a perfect octave is 2:1. This means that when one string vibrates at a frequency of a certain pitch, the string that is an octave higher vibrates at double that frequency. By using two strings of the same tension and varying their lengths, he found that shortening the string to half its length produces this harmonious interval. This principle laid the foundation for understanding musical harmony and the mathematical relationships between musical notes.
perfect fourth