The short answer is the right superior temporal gyrus (broadmann's areas 22) and the tranverse temporal gyrus (aka Heschel's gyrus in Broadman's areas 41 and 42). Along with the right analog of Broca's area in the right inferior frontal lobe in broadmann's areas 44 and 45 (aka the pars triangularis and pars opercularis). It is a bit more complicated, but that covers much of our perception of music. For more specific details refer to the publication lists that others have posted.
For some, music is easier to recall than text or auditory language representations. Is there any evidence that musical memory might be stored globally?