Nice read.
Another variable in room acoustics that can effect mode propagation is temperature and humidity. But this might be a little out of scope since the listening area is inside and theoretically a temperature controlled environment. So it would have a certain mean characteristic of acoustical wave conduction/resistance.
Another person to look up is Henry Bolt and the way he determined good ratios for a listening area. This is where the phrase 'Bolt Area' came from. Which is an interesting concept because it dealt with a handful of modes (in ratio relation) instead of calculating every mode. Of course today we have computers that can do it all.
One interesting site I came across a few years ago is a room simulator with a graph that you can mouse over and it would generate a sine wave at that mode frequency which is a handy tool to compare effectiveness in acoustic treatment.
HTML5 room mode calculator. Read and hear the tune of axial, tangential and oblique modes. Scientific sources included.
amcoustics.com