I would go with putting the TV on the long wall to enhance the stereo imaging and create a stronger 3D depth effect for stereo music.
As for the room dimensions.. .you definitely do not want your two largest area reflective surfaces (floor/ceiling) to be exactly half of your next two largest surfaces (longer walls). So, if the ceiling has to be 7.5 feet, then don't make the shorter wall 15 feet, unless you can angle it somehow.
Think about the simple math.
MODES for Floor to Ceiling reflections: 37.5Hz, 75Hz, 150Hz
MODES for long walls reflections: 19Hz, 37.5Hz, 150Hz
You are guaranteed to have very serious issues at 37.5Hz and 75Hz and likely at 150Hz. which will be damn near impossible to address.
Instead, make the two long walls something like 13.5ft apart, or make the walls with notches, alcoves, and/or outcroppings which vary the distance between them from 13ft to 17 feet.
OR... just leave one side open and make that the rear of the HT.
As for the room dimensions.. .you definitely do not want your two largest area reflective surfaces (floor/ceiling) to be exactly half of your next two largest surfaces (longer walls). So, if the ceiling has to be 7.5 feet, then don't make the shorter wall 15 feet, unless you can angle it somehow.
Think about the simple math.
MODES for Floor to Ceiling reflections: 37.5Hz, 75Hz, 150Hz
MODES for long walls reflections: 19Hz, 37.5Hz, 150Hz
You are guaranteed to have very serious issues at 37.5Hz and 75Hz and likely at 150Hz. which will be damn near impossible to address.
Instead, make the two long walls something like 13.5ft apart, or make the walls with notches, alcoves, and/or outcroppings which vary the distance between them from 13ft to 17 feet.
OR... just leave one side open and make that the rear of the HT.