I have used the HD25's and the Denons extensively side-by-side - most of the time my Denons were collecting dust. I have since sold them.
Now that is not to say they're bad headphones. They were incredibly comfortable and they had very good detail retrieval and soundstage. However, I personally couldn't get over the recessed mids. The singer always felt very far from me and I tend to like a more balanced sound across the board. They didn't sound bad - they just irked me because of my own preferred sound sig. Compared to the HD25's, they're a little darker (not as fatiguing/more relaxed sound). They have more bass and stronger bass. And WIDER soundstage by far.
The great thing about HD25s are that they are in your face and sound good with just about any genre. They have good detail and the bass is very tight and controlled without interfering with the mids. I wish the vocals were just a little more forward on them sometimes, but it's not too bad. What you may not like is the narrow soundstage. There's good depth but hardly any width.
As you can tell, they're both pretty different from each other. Not better or worse, just different. I suggest you audition them and the HD25s.
As for the HFI-580s/DJ1s, I've read nothing but good things about them, especially when it comes to trance - I imagine they're somewhere in the middle of the HD25s and the D1100s, in that they have good, hard-hitting controlled bass and good soundstage. I have also read that the mids are slightly recessed but I imagine they can't be all that bad.