Hi everybody! For a long time I have just been content with my bose headphones that I have had for like 6 years. However, recently, I have gotten more and more into audio and high quality sound. I bought the Bowers and Wilkins P5 and while I like their sound and comfort, I am looking for headphones more like studio headphones with higher overall quality and possibly open to get a more natural sound. I listen to all types of music (mainly jazz, pop, rock, and rap). (I had the Beats Studios and did not like them at all)
Based on the above information, I was wondering if you guys could recommend the best over hear headphones for a maximum price of $250. While I like a good design, I am looking first and foremost for sound quality and comfort. (The only headphone I have really researched so far is the AKG Q701 but I'm still not sure it is the best option for the price)
Also, I plan on purchasing the Audioengine D1 DAC/Headphone Amp to run these headphones (along with my audioengine A2s) through. 
 
Thanks a lot for your help! Getting into high quality sound seems to be really expensive haha but I know it will be worth it.