You're forgetting the performance license. With a (consumer grade) CD you get the rights for private performance of a non-commercial nature. You don't usually

You're forgetting the performance license. With a (consumer grade) CD you get the rights for private performance of a non-commercial nature. You don't usually get the rights to play the music for large audiences or for commercial use - those cost extra. If you didn't get those rights then you couldn't even play the CD in the privacy of your own home, as that constitutes a performance of the work. (Of course I kind of think there's something fundamentally strange with the idea of having to get "performance rights" for a recording that you supposedly own, but that doesn't change the law right now.)