I really think you need to post to where they can download the music straight from the artist or place it was originally released for free to avoid the legal troubles that could follow. What if the release was for a limited time and only through a certain site? and now you are releasing it on your own site from your own source? This would be illegal due to not having the license to re-release music. As essentially this is what you are doing. I would hate to see you involved in a lawsuit over something like this when it could be fixed by just adding the link to the original page of where the music was released.
I believe it's the links to the music not your domain name thats drawing your traffic, have you done a search for any of the songs posted on your site and checked where you rank?
But other than that twitter I am sure will be your friend it has been mine
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my site has been around for a month now and i'm receiving around 110-140 visitors a day and i'm wondering if that is good for a site that's been around for a month