[headphonenoob12]

I've been researching some different types of headphones and just simply can't find want so I want thought someone here could help. I listen to death metal, deathcore and hardcore but I also listen to hardstyle and hardcore so I would  like to listen to that also. I'm basically looking for headphones that don't need an amp I don't want to have an eq. Bass is most important and a detachable cable is a must because i'm jack of them always breaking currently using sennheiser hd 429 but left channel no longer works due to cable breaking any suggestions would be appreciated my budget is up to $120 aud. I would prefer over ear headphones thanks in advance.