If all art aspires to the condition of music, all the sciences aspire to the condition of mathematics. - George Santanaya

Music is the pleasure of the human soul experiences from counting without being aware that it is counting. - Gottfried Leibniz

Mathematics and music have a strange connection. 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. Thus, there is a natural connection
between mathematics and music: Both are experienced as pure objects of the brain, and both have meaning outside
of the brain only by artificial connections.