Basic Channel
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I don't think that is a good description of the Haas Effect, starting with 20 ms actually being 30 ms, but I won't get too pedantic. Suffice to say that it is an 'equal loudness' threshold rather than a detection threshold.
The detection threshold is the bottom line on the following chart, whereas Haas effect is the top dash line. The 'image shift' threshold, which I think you mean, is the second-to-bottom line.
View attachment 370379
© Toole, Sound Reproduction, 2006
Toole's work is generally relevant to small rooms, ie domestic spaces, and he has commented on non-rectangular rooms. For example in an L-shaped room, such as @ohnonotagain described, he noted that the following subwoofer layout (2&3) greatly assisted with smooth bass, both measured and perceived:-
© Toole, Loudspeakers and Rooms for Stereophonic Sound Reproduction, 1990
Thank you for the pedantry and I stand corrected, you can see why I kinda see it as related. I have found (just as a hobbyist) that it depends on the sound you are trying to throw between the speakers. Sometimes you can get away with a longer time, sometimes not. Obviously I don't mean over 40ms.
So when Ethan Winer says roughly for reflection within 20ms that 20db attenuation is desired, he's in agreement with Toole? It's confusing because the above graph would seem to disagree with Toole saying that early reflections are fine. Too early and loud and they are not fine.