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Slap echo isn't going to be solved by a room ratio. That's just a matter of addressing large, flat, hard, parallel surfaces. This can be done with absorption or diffusion.What good room ratios so is to help spread room modes farther apart and distribute them more evenly through the spectrum so they don't pile up and reinforce each other making them more difficult to address - especially in the lower frequencies.ALL rooms, regardless of the ratios will have modes and modal problems. Some are just less bad than others.Bryan
I am not sure if there is any scientific evidence supporting the use of this [golden] ratio.
You have an automatic non-parallel wall situation so this should work very well. I would put your speakers on the narrowest wall and allow you to sit back with enough room behind you. Symmetry can help and symmetry can hurt. I would think you could easily manage the sloping wall off one side of a speaker with a false wall or hard-faced trap, if needed. It's pretty easy to see how the bass will build up in those deep triangular sections along the floor, so plan for some serious trapping.How is the roof ventilated? Is there airflow on the other side of this sprayed material?
Absolutely. And I am no expert like Bryan is. Just a novice at all this really... But just to clarify, I didnt mean to fill the entire space with absorption. "where needed" are key words but the false walls in a space like your may work.