The DT770 is fine – not basshead, the COP is the same size and configuration as the 770, and both of those, large though they are, are “tighter” built so they feel less clunky than the M50. But the biggest problem for you is that the smaller headphones under $200 almost all have a steeply rolled-off treble, which is trouble for the more refined type of music. One possible exception is the Harman Soho.
I’m a former Mixer and DJ and I’d highly recommend the Beyer T1 for mixing. It is not absolutely flat, but it is an all around proper Audio Technicians Headphone. For flat response, I might eyeball the HD800 but the low end might not be the best if you are often mixing tracks with solid low ends. Flat might not always be the best option ( my opinion ). If you need to mix heavy bass tracks, it is better to have a headphone that responds better to low end EQ and is generally accepted as a more well rounded headphone.

Over-ear and on-ear headphones effectively block out outside sounds, allowing you to hear your music or whatever else you're listening to crisply and without distraction. Over-ear headphones are sometimes known as full-size headphones because they completely envelop the wearer's ear. This results in what's known as passive noise reduction, which makes these some of the most-preferred headphones available. The only drawback is that your ears and the skin around your ears can get warm and sweaty. These are usually the heaviest type of headphones.

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