Could you elaborate please? To me, music is entirely a subjective aesthetic experience which leverages our shared history to elicit certain emotional responses. I view mathematics as the opposite of that, being objective, where everything is derived from explicitly stated axioms.

I can understand if you say that music (in general, or at least in the west) conforms to a system of patterns and relationships, but I question whether those patterns and relationships are integral to the experience of music. I suspect that they are more a result of our expectations than a fundamental property of music.