Debate on music using the most famous percean triad of icon, index, symbol, are highly unsatisfactory. But this does not mean the end of all such debates. I propose rather to move the debate on a different new level whithin Peirce’s overall system : the phenomenological level with its triad of Firstness, Secondness and Thirdness. More specifically, I will ask whether it is relevant at all to speak of Thirdness, i.e., of thought, regarding music. If music is asemantic as some people might say, must we assume it communicates nothing?