Starting with Pythagoras (c.500BCE) and Plato (c.400BCE) music was considered wisdom and as such, an integral part of Greek philosophy (see "Music of ancient Greece and philosophy WIKI").
On the other hand, there are numerous Talmudic prohibitions of studying Greek philosophy (see "היחס ללימודים כלליים במקורות חז"ל".
In our sources, was the systematic study of music (as opposed to recreational playing) ever considered forbidden?
