Unless he can negotiate exclusives with artists people want to hear I just don't see it gaining much market share. The whole business model is about serving the artists rather than catering to consumers. The price is higher, the UI is not a differentiator, and most people listen on devices that are portable without focus on fidelity. He will grab some audiophiles but I don't think he will get the younger demographic that he is seeking.

http://9to5mac.com/2015/03/31/jay-zs-new-tidal-music-service-respects-the-artist-but-rips-off-spotifys-ui/