The Mathematical Ratios of String Lengths in Music: Pythagoras’ Harmonic Legacy
Pythagoras. You probably know him for that pesky triangle theorem from high school. But what if I told you that his real legacy isn’t geometry? It’s music. Yeah, the same guy who gave us the Pythagorean Theorem also unlocked the mathematical foundations of harmony. He didn’t just think about numbers abstractly—he listened to them. And…