It doesn't matter at all what "mathematics" you use to "analyze" music because the purpose of these modes of communication goes beyond the arbitrary sounds chos

It doesn't matter at all what "mathematics" you use to "analyze" music because the purpose of these modes of communication goes beyond the arbitrary sounds chosen -- what does matter is what is being represented by those sounds. Statistics is for the analysis of systems in equilibrium. Language by definition is a non-equilibrium system.