Well, that seems to mean that the filesystem is OK. Either the TV doesn't play music files, or the music files are the wrong type. Can you post the make/model of TV (usually model is on the back)?
What kind of music files? Are these DRM-free, Itunes, CD rips, or what? If it's music with DRM like Itunes or the like, then they aren't going to play on a device that doesn't have compatible security.