Music has the power to affect emotions, but one who has learned the inner workings of music can take charge over this power in music and use it to impact his emotions in a pure and good way.
When we discuss music in a mathematical context, we need to understand that historically, what people meant by “music” was not fundamentally what we usually mean.
Ever since the Greeks, mathematicians interested in the nature of the world have invented new ways to speak of arithmetical ideas.
Thanks to Boethius and those who built upon what he began, we have access to a rich collection of classical mathematical works in arithmetic, geometry, music, and astronomy.
