There are no "ideal" room dimensions with a 7.5 ft ceiling. Ceiling height does mean a lot, and the higher the ceiling the better up to about 12 ft. Since you are stipulating a 7.5 ft ceiling, my guess is that you might be thinking about finishing an existing basement space. If so, recognize that the ceiling is going to limit what you are going to be able to accomplish. I couldn't find a favorable Bolt Area using a 7.5 ft height without making the room too small to be practical. So you are going to have a real challenge dealing with room modes.
If (or hopefully when) I have the opportunity to add on a custom built room, I would start with a carpeted concrete floor and a ceiling over 10 ft. I'd like the room to be fairly wide, something approaching 20 ft. I'd like the room to be deep, approaching 30 ft. If you start getting much smaller than these dimensions, you can have your work cut out for you and face limitations in selecting a speaker that will mate well with the room. I'd select dimensions that allow the room to fall within the Bolt Area and which exhibit a favorable Bonello distribution. 26.5 ft x 17.5 ft x 12 ft dimensions fall within the desirable Bolt Area, would provide a favorable Bonello distribution of modes, and have a relatively low Schroeder frequency. Most of the calculated low frequency modes resulting from those dimensions are do not coincide well with the frequency of notes resulting from standard A = 440 Hz tuning of instruments. As far as I can determine, this is about as good a scenario in a real world room as you can get.
Such a room would offer the following additional advantages. The concrete flooring would greatly reduce problems associated with resonance being transferred back into the speakers and electronics as compared to plywood or OSB over 16" joists. Carpeting over concrete in conjunction with a high ceiling will substantially reduce problems with floor to ceiling slap echo and permits more flexibility in dialing in speaker to listening room position without having the room become too reverberant.
My current room is 14 ft wide and 20 ft deep. It is too narrow to accommodate more than one critical listener. Another 3.5 ft would make a world of difference and reduce the intensity of side wall to side wall slap echo. My speakers are full range and don't do all that well in near field listening. So my listening position is only about 4 ft off the back wall, which creates an unfortunate low frequency null at the listening position due to out of phase cancelation coming from reflection off of the rear wall. A deeper room allows one to move the listening position forward enough to push that rear wall cancelation to a low enough frequency that it becomes less important.
