What is the significance of the rule of fifths in music theory and how does it influence the composition and harmony of musical pieces?

The rule of fifths is a fundamental concept in Music Theory that helps musicians understand the relationship between different notes and keys. It influences the composition and harmony of musical pieces by providing a framework for creating chord progressions, modulations, and harmonies that are pleasing to the ear. By following the rule of fifths, composers can create music that is both structurally sound and musically satisfying to listeners.