I have to give a big

to robwebster posts, except where he mentions Muse, a band that I used to love but now it doesn't do much for me.(I'm not talking about their latest album, but the previous before that)
I'm one of the heartbroken ones when I read that JR interview, but I can't really blame them.
Every time DT tried something different the fans gave them a hard time for it, Six Degrees is very praised now, but if you read comments from back in the day it wasn't. At all. I can do a mea culpa for it, even if I became a fan around 2010, it took me two years for everything post SFAM to finally click in. Probably since I was never a metal fan in the first place, and I still aren't, by the way

.
The same goes for other bands, especially on their U.S. fanbase, someone here mentioned U2, and Pop happens to be one of my favourites from them, but it wasn't well recieved back in the day and even a big band like U2 struggled during that day, playing to stadiums with only 10k people on them after having invested in that huge stage. It sold very well on everywhere else, but not the US, and since that is the biggest market, well... there you go. U2 went immediatly back to their roots after that, and they haven't ventured outside it since. And if U2 can't take that much risks, DT definetly needs to be more careful. Actually, both bands histories share some similarities as they both started shifting their styles from record to record until they reached their "core sound", All That You Can't Leave Behind and A Dramatic Turn Of Events, respectively.
Pink Floyd is another example of changing directions but staying within the framework. Yes, they were
very innovative within their framework and released some true masterpieces, but they always stayed within their sound. I have trouble spoting one place where you say "WTF??? Is this Pink Floyd??".
Erwinrafael said Queen(the band that, along the other three I mentioned(DT, U2 and PF), conforms my personal "Big Four"), and that's a band with dramatic changes every time on their careers, but I think it's different than the other three I mentioned. The big difference is that Queen always sounded to me like four solo artists playing each other songs*. Unlike DT, who have very different creative forces but ultimately throw everything in the same pot and work each others ideas, Queen songs were written individually by each bands member. And, if you separate every track by member and follow their history, the evolution becomes much less dramatic. 9 times out of 10 I can spot a John Deacon song, or a Brian May song, not only on the lyrics but on the style as well. The only one who changed radically, was the genius mastermind that was Freddie Mercury, the others kind of stayed withing their frameworks only to come out of it on special ocassions.
That difference is, I think, what allowed Queen to go into any direction without suffering as much. Still, there are quite a few fans who frown upon their '80s direction.
Going back to DT, I have to jump on the FII wagon, all the other albums you can pair them or group them with similar others, not FII. Even when they play live you can tell that stuff is different from anything else they made, New Millenium, Trial of Tears, Lines in the Sand, Peruvian Skies, Just Let Me Breathe stand out immediatly more than anything else in the DT catalog IMHO. And if you go to its B Sides, Speak To Me or Cover My Eyes would stand out too, even if they wouldn't on a mainstream radio. DT goes so over the top with every song, that anytime they stay "traditional"(The Looking Glass) those song sound out of the box in their world

. It's like a novel that always goes to somewhere different in their argument, so the time when the argument goes in the expected direction, it surprises you more than any of the other times. Seriously, do the experiment, play DT on shuffle, every time a FII shows up it stands out even more than any of the "crazy" tracks, probably because in a world where crazy is the norm, it stops being crazy.
Finally, and I hoping someone gets here and isn't bored to death by my ramblings, I wouldn't take everything a DT band member says as written in stone. I heard numerous 2005/06 interviews of JP saying he preferred personal non-fictional songwriting to his early fantasy lyrics, even going so far as saying they were "juvenile and immature", the next thing he did was Systematic Chaos

. Personally, I would prefer a mix bag, not pulling a "Kid A" but incorporating some new stuff mixed with "classic DT". But, unlike this last album or previous ones, I would prefer "the experiment" to be a full song instead of a little section on a "classic DT" song. Prophets of War inside Systematic Chaos or Space Dye Vest inside Awake come to mind.
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*I KNOW, that on The Miracle and Innuendo there were collaboratives efforts, but other than those, my description still stands.