Popularity of a single song: http://developer.echonest.com/api/v4/song/search?api_key=FIL...
List of songs by an artist ordered by popularity
http://developer.echonest.com/api/v4/song/search?api_key=FIL...
Since we have Rdio in our Rosetta ID space, you can natively use Rdio IDs and get them back in your calls: