Room Acoustics question:

Depends:: and Depends.
If you're talking 'bare room' without anything in it, you can make it go either way. Lots of windows? Flat ceiling? Willing to install / tune room treatments?

http://www.marktaw.com/recording/Acoustics/RoomModeStandingWaveCalcu.html

above would be good place to start. You'll see that any room dimension of 1.5x another will produce same frequency results.
this is standing waves which result in loud/boomy or 'suckout' or lack of a specific frequency....some people will complain of 'lack of bass' in this case.

At over 5000ft3, it is a fairly large space. If you like it LOUD, you'll also need more juice or more sensitive speakers. Don't rely on a single sub, you'll need at least a PAIR, located asymmetrically.

Does the Cardas website discuss the origin of 'there' ratio?
Hint: the Cardas logo...a nautilus shell, is the clue.

With all due respects to Euclid et.al. the Golden Section goes back....Way Back. Many Egyptian monuments, including the near 5000yr old Great Pyramid use this ratio as a design element.

There IS a mathmatical relationship between phi and pi.
Phi is the only number that squared = itself +1. (2.618)
other relationships exist.

Zargon,
I wish I was near my reference materials rite now! I think it was Strabo or Herodotus who mentioned that the ratio of side to area of base was 1/2......I simply can't remember.
Bottom line? Phi was used in calculation:

Also, Pi=6/5 phi2.

Yes, there is Substantial disagreement. However, and this is WAY beyond a Hi-Fi posting, the numbers/ratios of such monumental constructions simply don't lie.
Way TOO much to go into here. PM me for more information, some of which is non-standard. I have met several professional Egyptologists and they typically, though very smart, would have trouble balancing there own checkbook.

Halcro....we're both right.
While phi is derived from the fibonacci series, and the further you go, the better the resolution of the number, so it IS a 'ratio'
It is also an irrational number.....like pi, which some simplify to 22/7 for ease of calculation.
While I know the simple way to derive phi, I know of no such way to derive pi. Is there one?

That such a ratio can have so many uses and applications is a miracle of nature and the universe.
Look up, 'The Monk Drunk on Wine' a book from the middle ages.