Rectangular.
Angled walls do not eliminate room modes and standing waves, but merely move them about in increasingly unpredictable ways.
Carefully read the Rives articles here. Buy yourself a copy of The Master Handbook of Acoustics and study it (it is written for laypersons, not experts). Take a look at the room acoustics article on Siegfried Linkwitz's site (
www.linkwitzlabs.com). Read Floyd Toole's whitepapers on the Infinity Speakers site (oh, you already did!).
Once you have done so, you will see that it is not necessary to sacrifice aesthetics for acoustics, nor resort to odd room shapes. On the contrary, many attractive and traditional interior decorating and architectural features such as coffered ceilings, wainscoting, bookcases, carpeting, drapery and furniture can be used as acoustical features as well.
The sound quality of mid to high frequencies, according to Toole and others, is primarily dependent on the quality of your speaker. Some audible (and annoying) frequency anomalies will of course result from reflections (more precisely, as reflections meet and either multiply or cancel each other) but not as large as those caused in the bass by room nodes; the main problem in mids/highs will be an excessive resonance and echoes that smears and muddies the sound (and eventually gives you a headache!)*. Kind of like what you get in a bare room or in the bathroom, but not as exaggerated.
I've been thinking of building a room in the basement myself, and going DIY for the same reasons. Mine would be strictly music, though. Keep us posted so I can learn from your mistakes!
And the thought of a five foot wide Norah Jones is very disturbing BTW...
*The behavior of sound in rooms is fundamentally different in bass vs. highs and mids, with the dividing line somewhere around 200 or 250Hz. It's in the book...