$800 Battle: Heddphone D1 vs. Hifiman HE600

Same price, both seems to be equally well-regarded recent releases. Which is the winner? Genres: classical, opera, jazz vocal & instrumental, folk, R&B, some light rock and pop. Whichever would suit and present these genres the best.

Using at home exclusively, JDS Labs Atom Amp 2, Topping D50 III.