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I believe it would be a horrible choice. The concave surface is one of the primary things to avoid in good room acoustics. I have been involved in several acoustical consulting jobs to fix the effects of a concave surface. A combination of thick absorptive panels and large scale 1-D diffusers has reversed the bad reflection into a good one.
I wondering about a monolithic cement dome for a detached, dedicated audio room.http://www.monolithic.com/topics/domesWould this shape be good/bad or indifferent for sound quality?-Tony
Cardas calls the ideal "retangular" shape a golden trapagon:http://www.cardas.com/content.php?area=insights&content_id=36&pagestring=Room+Setup+10
Ideally, if you had unlimited space, you'd have a truncated triangle (the correct geometry term escapes me right now) where the front and rear wall are parallel but the side walls are splayed out front to rear. Ceiling would be higher in the rear than in the front.
Looks like a brilliant idea and loads of fun. I would mount the speakers on the ceiling either side of centre parallel with the floor and facing down. The listening position would be lying on my back in the middle of the floor looking up, if I had the choice I would have a skylight fitted so as I listened I could look through the dome into the wonderfull night sky. Spectacular idea, no?