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Given the size of the room the 2,2,0 Tangential is a highly likely culprit. That mode would be damped greatly by mast typical vertical corner traps.
The 2nd order height axial mode would place ears/mic at ~ 2'-3" (hey we have a theme going huh) above the floor. It's more likely his ears are 3'-ish above the floor where that mode is not as likely to cause such a dip.
I've provided an explanation of modes in the theory section of this article: http://www.hifizine.com/2011/09/prototyping-dipole-bass-system/
The number one most common mistake I see when people try to take a room measurement is that they try to measure both speakers at the same time. This often causes peaks and dips due to the comb filtering effects created by distance variations between the two of them. Be sure to only measure one of them at a time.
Danny,Thank you for your comment. Would you be able to please explain further? Theoretically, I can "get the room right" one speaker at a time but then when I listen with both, wouldn't I have the same problems I've avoided seeing by only measuring one at a time? What am I missing to understand this, please? I'm sorry I'm a newbie at the room treatment/measurement thing....John