When you're playing as Snow, it's more likely to have some heavier song(s?) on, which I've enjoyed. I've liked a lot of the music in chapter eleven so far, but admittedly none of the music has really stood out like it did in the older games. It's probably because it just isn't designed to - these days I think they focus more on the visuals than the audio (well, obviously), and that means music takes a back seat.
The background songs aren't too bad. I think there was singing in the "dampness is damp" level, which I thought was nice.
EDIT: Now that I think about it, the main reasons I can think of that music is not a major thing anymore is made up of...
1. A lack of overworld / traversable world map. You don't spend a lot of time in any one area,
2. Sound effects have improved. When you walk around, you hear non-stop footsteps and so on. This, again, means you aren't just hearing music anymore.
3. Voice acting. When, for example, Aeris dies, you notice the music because nobody talks. When, in fact, anything happened in earlier FF's, you noticed the music because nobody talked. Music takes a massive back seat to talking now. It's understandable in some ways, but I think that if they took the time to allow for more 'silent moments' with music going over them, it would allow people to appreciate the music and attach a scene / emotion to them. Even battle scenes have talking through them.
Music will never be a big thing in future FF's, as far as I can see. It's sad, and I do miss RPG's which don't have voice acting, but I guess that's just the way it goes.