ULTRABRA
I have some old ... but I love them ... headphones : Sony MDR-7506. I did mixes using just these - but what sounds great on just these, really didn't sound good on monitors at all. Now I'm using Yamaha HS80s as nearfield monitors - I don't really know how good they are to be honest. They can sound a bit harsh, particularly after listening on headphones, but I guess that's becuase the headphones sound so "good", though not flat ...
... to be honest though, I like listening via headphones, if there was a different pair I could use that would give a more real flat response. Ideally, track and mix on headphones, and check with monitors ... but I guess that's not the correct way ;-)
The Sony's are considered good for tracking and probably good for most general studio/listening situations, possibly even secondary monitoring (testing a mix) - comfortable, reasonably loud, good clarity. But no, I don't think they will compare to a good set of reference headphones.
Right now the only "correct" way is what works for you and what fits in your budget. Short term and long term goals are not always the same... :-)
Clearly there are choices but as I said some good reference headphones will never go to waste. Just listening to music on the AKG's is an absolute pleasure. When you get used to them and adjust to just how flat they sound and the level of detail they reveal the Sony's will no longer make you so happy. Hmmm. Maybe that's a bad thing?
Just out of curiosity, do you also compare your mixes to reference tracks thru your Yamaha's? Probably a dumb question but I had to ask. It's good to listen to a lot of music thru the monitors/headphones, not just your mixes. I doubt I'm telling you anything new.
One problem with the Yamaha's is that they are known for a slightly weak bass that rolls off rather high (as many small monitors also do) so many advise using a sub as well. That being said adjusting the 120/130 range is crucial in terms of sounding boomy or muddy (40 is getting into rumble territory) and, in my opinion, room treatment or not, adjusting this range is no small task on smaller near-field monitors. Headphones, on the other hand...
But who knows? Maybe incoporating a sub would find you pushing less bass in the mix and that itself could have a profound effect. Not likely it would be flat though, just another compromise.
The AKG's are rated to 15Hz for what it's worth as an example, but more importantly is that they are substantially flatter in the low end than the Yamaha monitors. The Yamaha's give good clarity but not the best frequency response across the spectrum which is the issue you have at the moment.
Too bad it isn't easier to rent this stuff short term to try it out. If you can find the right store, willing to work with you, you may be able to do exchanges within a certain period and lose nothing.