I too play a lot of BF4 (Preferably on PS4) and listen to (Classical,Rock,Hard Rock,Metall,Rap,Pop, some R&B,Jazz and few other things=)
I personally have the Philips X1,Sennheiser HD558&HD598,Sony MA900,Denon D600 and the Astro A50,Tritton AX Pro+,Sony Pulse Headsets, the DT880 i do not posses, but from many comparison and reviews i can at least imagine its sound.
Of all my headphones and headsets i posses, the Philips X1 is my most precious possession, it has the best detail retrieval of the bunch, the 2. best sounstage (MA900 = Best) and the most natural sound overall (MA 900 equal) , it has a slight bass emphasize and a linear tlt from mid bass to treble with a tiny peak up in the 8K range to give it some sparkle, overall it sounds pretty amazing with anything you throw at it, whether its classic,rock,rap or a movie or video game :)
Basically the DT880 has less bass then the X1s, somewhat recessed mids and well extended treble, allthough too much for me, which is the reason i didnt buy them, the 10Khz peak is to much for my ears and i get fatigue pretty fast -.- So obviously with that in mind you can be assured that the X1 will be fatigue free for the most part ;) The X1 is also the most fun headphone ive heard in the 500$ range, the only one coming close is the HD650, but those seem to dark to my taste and a bit more colored even, which is odd^^ The next better phone for fun listening would probably be the HE500 or LCD2, which are both over 500$. I tried a lot of headphone in my time now and i have to say the Philips X1 is really a can that is very special, because unlike other open cans it delivers amazingly deep,strong and fast bass, while still having the amazingly natural and smooth midrange that is really in you face and great airy treble with some sparkle, which is well extended too (DT880 a little better extended though). I personally power all my headphones with a FiiO E12 atm, but i guess a Astro Mixamp or a TB Earforce ?? would do great if youd want a more compatible option for mic and console support.
So overall i think the X1 is the most special headphone under 500$ and for any one who wants natural sound and great bass and soundstage (positional cues/enemy detection) its the right decision. The DT880 has not enough bass, because apparentely it has less then my HD598 even which is really like the lowest i would appreciate ;) The AKG K702 is to bright too and has quite a bass drop off too, even the manufacturer acknowledged that and made the K712 with +3dB bass boost ;) The AKG K612 though is basically a more natural K702 with more bass and is a cheaper option to the X1s in my opinion. Both the X1 and AKG K612 are known to handle a lot of power (volume) which is also great if you wanna crank it up sometimes ;) Id also link you to some guys that gave me personally a lot of input for my buys ;)
The DT880 is still an amazing headphone, just its more suited for only acoustic music and mastering, but if you truly wanna have fun then a Sennheiser HD600/650 or the Philips X1s are your best option. And dont buy the Denon D600, its ****, truly i have long not heard such artificial and fatiguing audio with really no balance and far to much bass...and not even nice bass like on the X1s, just boomy bass and sharp voices and bright highs with recessed mids... Truly a dissapointment xD
Hope i could help you, regard Michele G. Iurlo
http://www.head-fi.org/t/534479/mad-lust-envys-headphone-gaming-guide-update-4-17-2014-akg-k612-and-k712-pro-added-edits (Madlustenvys Headphone guide very informative and he also loves the X1s :)
http://www.whathifi.com/review/philips-fidelio-x1 Whathifi (If they give 5/5 you know its good ;)
https://www.youtube.com/watch?v=MzO2IAakSWY (Very good review from my bud the headphone addict :D )