I'd probably vote "pass" on the Senns for reasons already explained - they're a bit melodic, slow, laid-back, etc and frankly just don't ever "get there" with many more energetic genres. They'll do awesome with trance, but for metal, rock, etc they've never really "clicked" for me. I'd probably pass on the Beyers if you don't like very aggressive treble, but I haven't heard the newest 4-digit Tesla series (e.g. 1770, 1990, etc) - reviews seem to indicate they've been trying to make a more balanced-sounding headphone but as I said, I haven't heard them myself.
As far as headphones I'd suggest looking at (and folks, if you want to start a big'ol argument with me trying to be "more right" or go back and forth "because OP said..." please think through this: I am trying to provide a list of things for consideration; in the modern retail world auditioning a lot of this stuff is frankly impossible for most people, so it really turns into "read a lot, take a chance, buy and try, and use the return policy if you're not happy"):
- Grado. Given your budget I'd say go right for the RS-1 and be done with it. In anticipation of some potential push-back: yes, they're bright and lean, but no they are not as abusive, etched, or screechy as Beyerdynamic or HiFiMan can be. There should be a distinction between "bright" and "too much" that all too often doesn't seem to be made. As far as the sonics go, they have a fast, punchy, forward sound that (imho) lends itself to energetic music like metal or rock, and can do pretty well with electronica. The bass response probably isn't going to be where you want it for some trance/EDM pieces, but it isn't awful either (if you want the "full eyeball message" experience you should look elsewhere though).
- Audio-Technica. I haven't heard the AD2000 that was mentioned here, but I'd have no issues suggesting the A2000X. Fast, detailed, spacious, and very clear/clean sounding. They're a very organized and uncluttered sounding headphone that will keep up with the very best in terms of speed and detail retrieval IME, and should have no problems with either genre. Also not bass monsters, but I've yet to hear a bassy headphone that's really, genuinely, fast. In anticipation of some potential push-back: yes, they're closed back; no, I don't subscribe to the idea that "open v closed" tells us anything meaningful in a generalizable or essential way, so unless we're talking about isolation or leakage, its not really a "feature" worth arguing about.
- Ultrasone. Specifically the PRO2900 or 900 (in their newest incarnations they're called "900i" and "2900i" - apart from the leather headband I don't know what else has changed, but they look incredibly similar). These are probably the closest answer to "bassy and fast" - sure the top ATs, Sonys, electrostats, etc will still edge them a bit in speed, but they have very healthy low-end response, are very detailed, and generally do all things quite well (they're a great "jack of all trades" dynamic can). The 2900 are a bit more spacious/airy sounding (and that has more to do with the pads than the enclosure (how do I know this? I've had them both side-by-side and swapped their pads)), and the 900 are a bit bassier (again, pads are a big chunk of this). Will do fine with lots of genres, but with very aggressive music they will have no qualms about separating quality recordings (or encodes) from clash trash (they *are* marketed as professional monitors so I don't think that's such a sin in their case), so if you have a lot of less-than-killer quality stuff, maybe pass on these. The HFI-2400 were a more restrained option (that, imho, were beautifully suited to grunge, alt rock, numetal, etc), actually cost less, but have unfortunately been discontinued...maybe you can find one used though? (and shouldn't cost anywhere near your whole budget)
- AKG. The K7-- series are still a venerable performer - they're fast, spacious, detailed, have no issues with complex music, and do a really good job with a lot of genres. Not tons of bass, but certainly enough to be satisfied imho. Probably more "centered" than the other suggestions I've made too - as in less likely to offend people. There's lots of variants here - my experience is predominately with the original K701 (owned them for like 5-6 years as my daily driver), but I've heard the Q701 and K702 briefly (they're very similar sounding), and read great things about the K712.
- Koss. This would really be an "end run" on your budget, but the ESP/950 should at least be thought about given your budget and preferences. Effortless speed and detail, very comfortable, excellent imaging, huge dynamics on tap, etc. These are what the HD 650 could "grow up into" - everything the Senns can do, but better, plus faster, and more comfortable (they're physically bigger so there's less pressure anywhere on your head - this isn't saying the Senns are uncomfortable; they aren't). And they come with their own amplifier. MSRP puts them out of your budget, but on-sale they can drop down to around $700-750, so I'd at least think about it.