The URL is live for twitter’s music service but its celebrity invite only at the moment.
Twitter is only making the app accessible to select “influencers” such as Ryan Seacrest before making it available to the non-famous portion of the public. The music app apparently “suggests artists and tracks to users based on a number of personalized signals, including the Twitter accounts a user follows on the microblogging service” and will let users “listen to clips of music from inside the app, using third-party services like iTunes and SoundCloud.” Less important people will have access to the music app some time next week.