A friend pointed me to this website. The test takes about 6 minutes and it does use sound to test your pitch perception.
I scored 80%.
From the website:
While working at the music and neuroimaging lab at Beth Israel/Harvard Medical School in Boston, I developed a quick online way to screen for the tonedeafness. It actually turned out to be a pretty good test to check for overall pitch perception ability. The test is purposefully made very hard, so excellent musicians rarely score above 80% correct. Give it a try!