I just got a fresh pair of 846 here and I play it out my iPhone.
The sound quality is my favorite, compared to IE800 and the akg k3003. The IE800 was more "pretty." If you're looking for something that sounds pretty and sparkley.
The k3003 was actually quite amazing. It's lows didn't haul as much oomph compared to the 846, but had the same kind of darkness. The mids are balanced here, nothing special, but not lacking by any means. The shure mids completely blow them out the water, but are more in your face than the k3003
The for the highs. The ie800 are way to sparkley, but they're smooth. The AKG is just right, and are a hair under being considered harsh. its like your ears want to think they're harsh but they fail to become harsh and can be considered a strongpoint for the headphones
The shure highs could use a little brightness and sparkle, but they balance well with the other frequencies. So they're not lacking, but rather, not emphasizes.
When I was listening to the 846 I was making facial grimaces like I was making love. Lol. It's a great audio experience everything I use them. Only used them for a day, and am about to go hit the weight room with them. Can't wait!