Two different sounding headphones. The HD820 excels at dynamics, clarity, soundstage with good extension at both ends of the spectrum. While the HD650 is more laid back, with a sweet midrange, and rolled off bass and treble. But they both are enjoyable and complimentary to each other.
Indeed complimentary. HD600, HD650, HD800(S) and HD820 are all pretty different phones from each other, there's even more similarity in the latter two than in the former two.
If you like the 8XX series do yourself a favor and grab yourself a 600 and a 650 as well, you can find them pretty cheap at times. The 660S isn't really worth it.
The 600 and 650 are true high-end cans no matter their price.
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