Is room treatment a science?

"Is a $4,000,000, 2000 seat auditorium trial and error or scientific.?"

It depends how they went around the volume of bodies expected to be in and material that clothes would be likely made of while there.

geoffkait,

"...test tone generator such as 315 Hz, for example..."

Is there a reason you picked 315 Hz or it can be anything else? Maybe a range that would be the most helpful? Wouldn't different frequencies act differently in different parts of the room?