The Koinonia blog asked this question today. I admit that sometimes I will listen to music while I study. I can't listen to anything if I am doing new research or writing. I need to concentrate and the music becomes a distraction.
But if it is music that I know very well and there is no singing I can get away with it. This works well for when I am editing or doing mindless stuff like bibliographic work. Quite often I will listen to Pandora. I have a number of stations including Jim Birckman, Enya and other quieter type music.
But I also like to listen to Pink Floyd when I am translating. I have a CD that my brother-in-law made me. It is a compilation of only the extended instrumental sections of some classic Floyd songs. It lasts about two hours and is great for doing translation work. If my Judith translation in the CEB reads a bit odd at times you can blame it on Roger Waters and David Gilmour. I also think it is what forced one of my colleagues to move his office away from mine.
What about you? Can you listen to music while you study and if so who/what is your preferred artist or genre?