More than anything else, I'm interested in these just for listening to music.

I have two pair of Grado SR80 cans. I love 'em. Actually one of them is SR60 with big ear pads, but I popped the ID buttons off years ago and can't tell which is which. They sound identical to me.

my teacher was suggesting that I should get a pair of Grado SR80's?

http://www.goodcans.com/ListeningStation/itemgrado-sr80.html

Ultrasone pro 750 V.S Grado RS-1 V.S Senheisser HD 650 V.S stax omega II headphone