It's possibly not widely known here that the HD650 has for many years been considered a serious tool for critical listening, editing, and even mixing by sound engineers. In fact I would say that the HD650 is generally preferred over the HD600 (which is usually regarded as more neutral here) because the HD650 is more resolving of fine detail and has a slightly better sound stage. It also has less distortion of course. I personally think that it is also tonally the more accurate of the two (more natural) even though it's less neutral.
I presume that Sonarworks needs no introduction here, but check them out if you're not familiar with them and what they do. Here is a review from them of the HD660S
https://sonarworks.com/blog/studio-headphone-review-sennheiser-hd660-s/
Here are a few highlights:-
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This probably is what everyone is dying to see. The graph shows that the HD660 S basically mirrors the older HD650 up until 6kHz and then starts doing its own thing. This really isn’t AKG or Beyerdynamic grade brightness, but for critical listening it’s a no go. Voice, string and other overtones will get unnatural emphasis. Sweeps will also be hard to get super precise.'
'The HD660 S is an attempt to evolve the HD650 into something more exciting. The problem is that much of what made the HD650 great for sound editing has been therefore lost. It’s still a decent headphone for recreational listening, because of extra sparkle up top.'
I'm sure that Sennheiser will make plenty of sales with the HD660S, but personally I'm staying with the HD650's (I also have the HD800). In fact, just in case Sennheiser really do discontinue the HD650 in favour of the HD660S, I've ordered another pair!