One of the trio of songs was written for Rihanna but was rejected by the star
Canadian artist is to premiere the track in New York this weekend
US rapper recently signed Canadian artist to his Roc Nation management roster
Canadian musician reveals prospective release date with fan on Twitter
Singer joins rapper's entertainment company
Songs by Paramore, Mariah Carey, Portishead and MIA also make the list
US band say singer-songwriter is "not vegan" after she admits to eating ice cream
Singer is scheduled to play private show this week
Singer's rider bans styrofoam and asks for 'local, organic food wherever possible'
Grimes also salutes Beyonce's artistry, saying her stage show works on several different levels