So do yourself a favor, turn on the radio (preferably P3, they have a very varied selection and numerous genres). Some of my favorites have already been in the air: Dizzy Mizz Lizzy (Silverflame), Lukas Graham (Drunk in the Morning) and Outlandish (Warrior/Worrier). Beautiful. I know that the spoken parts of the programs on this station is in Danish, but consider it this way: Find P3 on web radio here: http://www.dr.dk/p3/
You get to practice your Danish, get to know tons and tons of Danish music and have something nice in the background when you do your homework.
The "Play Danish Day" is also concerning the other radio stations of DR. Eventually, check out P6 Beat (web radio here: http://www.dr.dk/P6Beat/ or DAB) if you rather want to know some of the underground Danish music.