1. Click on the title of the music you want to download.
2. When the music submission page comes up, scroll down and click on the file listed under File(s):

@AChristian:  You need to click on the name of the song.   This is the white text that appears above the 'Play' button.  This will take you to the main page for the song.  From there you should see a link or links to download the song.  You will also see the license or licenses under which the song can be used.  These will appear on the left hand side of the page.  Click on the license icon to read details about the license.

I hope that helps!

whoops, see MedicineStorm already answered and did a better job of it too.  But since I typed this up, I'll post it anyways.

It never hurts to have too much help. :)