Since this subject is linked to acoustic physics, mathematics, I won't go further, but at the same time it is so closely linked to perception, taste, sensations, and emotions, can it be defined as such?
the problem, however small, lies in the terms. "Exact science" means one precise thing: an exact science is a discipline that provides mathematical propositions about the world, evaluable according to truth criteria. That is, an exact science provides true mathematical formulas. Even if music were formalizable in a mathematical sense, you could not consider it a "science," because it is not subject to a truth criterion. You cannot say that *do-fa-mi-re-do* is true or false; it would make no sense.
the problem, however small, lies in the terms. "Exact science" means something precise; an exact science is a discipline that provides mathematical propositions about the world, evaluable according to truth criteria. That is, an exact science provides true mathematical formulas. Even if music were formalizable in a mathematical sense, you could not consider it a "science," because it is not subject to a truth criterion. You cannot say that *do-fa-mi-re-do* is true or false; it would make no sense.
I understand, in fact I meant this type of reasoning.