After some looking around on the internet I boiled it down to these two headphones. The conclusion I made from these headphones is that they both are very comfortable and the Shure has a flat sound reproduction, whereas the DT-770 lacks a bit in the mids.
Now I don't know what to choose, I'm going to use the headphones for mainly listening to music in the genre of House. Every genre will come through these speakers, but mainly that one. I'm not able to test them as I don't have any shops in the vicinity to listen to them, thus I have to buy them blind.
Currently I have a Sennheiser HD212 Pro and I love the sound, so perhaps that could help with your advice as they tend to be more heavy on the bass but I don't know if the mids and highs suffer from this as I'm not that great in detecting that kind of stuff.