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Why is it that right up to and throughout much of the medieval period, moving from C to F# was actually considered a sinful maneuver? It wasn’t something simply discordant; it was something that violated what is profoundly important; something violative of a harmonic precept thought to be part of the intended design and order of the cosmos. This proved to be an understanding that spanned centuries.
Now, what’s underneath all this? It’s the view that Creation is itself an expression of an essentially harmonic and mathematical structure, expressive of a divinely rational plan.
— Prof. Daniel N. Robinson, Great Ideas of Philosophy, 2nd Edition, Lecture 3: "Pythagoras and the Divinity of Number."
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