listening to music accurately"

What does that even mean? Do you perhaps want neutral sound?

If so, then what exactly is neutral?

Diffuse field neutral? Harman neutral? Optimium HiFi neutral? Audeze LCD neutral?

Thats a really loaded question in headphone land.

Get something like the Sennheiser HD 560S and use EQ to tune them to your prefered sound. They are easy to drive and should take EQ well enough.