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Just a suggestion...one option of many depending upon your goal...
Assuming that you have already given thought to addressing LF room modes and also that you have thought about diffusion for the wall surfaces...sufficient to address fundamental issues and to achieve the response character you desire...
Given the luxury of the height of the ceiling and the title of the thread suggesting that you desired a live room - while also assuming that you desire a diffuse sound field, and not simply the potential to have an assemblage of hot specular reflections...
For the ceiling, of which you are lucky to have the height with which to work!) I would suspend collimating phase gratings (like the pArtScience SpaceCouplers) as clouds (these can be made without too much trouble or expense), and above them on the ceiling apply geometric reflectors in the form of, for example, pyramid scatterers or polycylinders (which can be made very cheaply with such materials such as 3/16" luaun plywood) to scatter and redirect the incident signal about the space above the phase gratings.
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