I had the Nano and the Compact at the same time, and found the bass to be better in the Nano, the clarity better in the Bose, and overall coverage went to the Bose as well. Never pushed to "fart level" cuz I wouldn't want either one that loud. I have a stereo 2500 watt QSC tri-amp system for that stuff.
At low levels, the Nano gave a nice separation, but in a medium room, the drop-off was severe. It did not compete in the same league for me. Small room ... It's great, but it just doesn't have that coverage.