If all art aspires to the condition of music, all the sciences aspire to the condition of mathematics.
Music is the only art form, where the form and the medium are the same.
Mathematics is the only science where the methods and the subject are the same. Mathematics is the study of mathematics using mathematics. Music is only created and experienced as music. Back when I was teaching High School Algebra, I had a student who was gifted in music, but not so gifted with mathematics. I then presented him with some of the following.