The Symphony of Numbers

"Music is a hidden arithmetic exercise of the soul, which does not know that it is counting."
Leibniz

Have you ever been moved by a melodic piece or captivated by a dynamic rhythm? Music, beyond being an art and an emotion, hides a surprising order within it. It is a language with its own grammar, and that grammar is mathematics.

From the simple ratios that make chords sound harmonious, to the repeating patterns that build the form of a song, numbers and rules are everywhere. This connection is not new; it has been recognized for centuries, from ancient Greece to the modern digital age.

Mathematics helps us find answers to basic questions: What makes certain combinations of notes so pleasant? What purpose does rhythm serve? How does sound travel and how are sound waves described? The answer lies in concepts like ratios, functions, and sequences.