I can't read with music playing, either. Since I've been a musician since I was small, music just commands too much of my attention. I'm listening to the details, to what each instrument is doing. If I know the words I'm mentally singing along. It's too hard to let it fade into the background of my awareness for me to read. Now a TV on in the background is different, I can read through that no problem.
Open your mind, but not so far your brain falls out
"Hurry up, before we all come to our senses!" - King Julien