What is the significance of the major third ratio in music theory and how does it contribute to the harmonic structure of compositions?

The major third ratio in Music Theory is significant because it creates a sense of harmony and stability in compositions. It is a key interval that helps establish the tonality of a piece and contributes to the overall sound and structure of the music. The major third ratio is often used in chords and melodies to create a pleasing and balanced sound that is essential in creating a cohesive and expressive musical piece.