M ⟶ 𝓜, music ⟶ mathematics

I wonder what structure preserving maps exist from music ⟶ mathematics,

M ⟶ 𝓜,

and if

M ≅ 𝓜.

I found for example a proof in mathematics seems similar to ii-V-I in tension ⊣ relaxation:

hypothesis ⟶ proof ⟶ conclusion
⟹
subdominant ⟶ dominant ⟶ tonic