"I believe most audiophiles would be unable to tell if those treatments were at the reflection points or not, and that in many cases 4 panels of 2’x2’, no matter how well placed, would be unable to effect an audible improvement."
and
"By ["treat"] I mean to alter the [room] surfaces by increasing the absorption and decreasing the ability of those surfaces to throw a coherent reflection by both absorption and diffusion."
Thank you Erik.
My reservations about using absorption on the entire surface, rather than just on the places where it has the most beneficial effect, are twofold.
First, to the extent that absorption is more effective at short wavelengths than at long ones, it will change (darken) the spectral balance of those first reflections. That may still be a worthwhile net improvement if the room is overly reflective, but in general it is desirable for the reflections to have approximately the same spectral balance as the direct sound.
Second, absorption continues to be effective long after the first reflections... ALL subsequent reflections which strike the absorptive material have their spectrum and overall loudness altered accordingly. So treating entire room surfaces can result in an overly dead room.
Reverberation time is seldom an issue in small rooms unless they have a slap-echo issue, and even then treating the entire wall with absorption is probably unnecessary. (Some argue that the term “reverberation” is actually inappropriate for small rooms because discrete reflections dominate, but I think it conveys a useful concept.)
As has been mentioned, loudspeakers are not true point sources, nor do we normally sit with our heads sufficiently in a vice that a 1 foot square treatment panel is what anybody is advocating. So I think "first reflection zones" is a more useful concept than "first reflection points."
I think you and I disagree on whether the timing and magnitude of reflections matters. If not, then neither does it matter where your absorptive panels go. If it does, then where they go also matters.
As I stated before, imo your assumptions are valid for large rooms (wherein the reverberant field is uniform enough that the reflections average identically at any given location) but not for small ones (wherein we have discrete reflections at any given location).
It sounds to me like you want to use enough absorptive acoustic treatment panels to make a significant difference throughout the room. Imo that would make sense ONLY if the speaker’s off-axis response is so bad that the reflections are generally detrimental. If the reflections are beneficial, weakening all of them and degrading their tonal balance with absorption would be detrimental. I’m not saying absorption has no place in home audio, but I am saying that the less of it we "need", the better.
Imo there is an alternative approach which starts out with the design of the loudspeakers themselves, and which does not call for anything remotely approaching treatment of entire room surfaces in order to get good results. Briefly, the loudspeaker sends spectrally-correct energy in directions which minimize early sidewall reflections, and the reverberant energy is allowed to decay more or less naturally, perhaps using diffusion, as opposed to being rapidly absorbed. If anyone is interested I’ll go into detail.
Duke