Sound room flooring advice needed

If it were me, I would consider a floating maple floor in the front of the room where the speakers are. This would be on very short and tightly spaced supports to there is very little give. Then I would have wool carpet on padding for the middle and back of the room where the listening takes place. I like a more lively front of the room and a damped back of the room. Then treat the first reflection points and other wall ceiling areas as appropriate.

I worked at a movie sound stage a few years ago and they used the most beautiful leather flooring. The room sounded incredible. For example:

http://www.meridameridian.com/leather-flooring/

Tried several of the above in the past. The floating floor is a poor option for
a music room. Best so far is cork tiles glued directly to the concrete. If the concrete is too rough to glue direct, there are several concrete based underlayments that can be used to smooth the base for the cork. Leather could work too.

My room is also on concrete. A carpet and pad sound wonderful, very natural acoustics.
Regards,

Thank you all very much for your suggestions. I'm coming to the conclusion that glue-down is the way to go. My own concerns about resonance from floating have been confirmed by several of you.

My wife is not a fan of wall-to-wall carpeting, so that's out, even though I know it would be good for sound. So I'll use a huge, thick area carpet on a jute pad to soak up some reflections. I considered cork flooring and even brought in samples, but I think it'll be too soft for the long haul. Looks cool, though, and I'm sure it would be an excellent choice for sonics.

Thanks again,
Bill