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So, I tend to agree that people overstate the differences between Genelec and Kef dispersion. However, the Kef R3 and Revel F208 are ~2dB apart from 1-10khz, which is the region you usually notice dispersion differences as translating to spatial qualities I think.
The real question is: How audible are changes in DI? I don't think there is actually a good explanation of that in Toole's book, even. My guess would be significantly more audible than they seem intuitively.
There is a study referenced by Toole about audibility of different directivity patterns. The graphs aren't exactly... the nicest quality... but their "direct radiator" design and "cardioid" design(pg 293) seem to correspond more or less to the differences I see between the Revel F208 and the Kef R3. And the answer to "was this audible" seems to have been yes. In their first experiment, they varied only the surrounds in a 5-channel system, yet there were significant differences even then. Question 1 is envelopment, Question 2 is detail.
In the 2nd experiment, they varied the front 3 speakers, and while more marginal than the 1st experiment, differences were still audible(and proved that it's... extremely bad to have a significantly different center from your L/R, lol). We know that surround systems make it harder to discern qualitative differences between speakers, so it's logical to predict that audibility of directivity differences is significantly more pronounced in stereo, let alone mono.
It's also important to remember that sound power DI uses the listening window, which ignores vertical dispersion past +/- 10 degrees. So, built into it is the standard "vertical directivity doesn't matter that much" assumption of the Spinorama, which IMO is one of its least well-supported assumptions.
I suspect that a better way to show differences in the overall sound field created by a dispersion pattern would be to calculate the critical distance for each speaker in a standard room. Genelec does this in their "correct monitors" chart and it leads to pretty big differences even though the dispersion of their speakers doesn't vary that much. The 8341A and the 1236A are different by 2x despite the latter's horizontal dispersion being at most (+/-) 10 degrees less than the 8341A's. Vertically there is a much bigger difference, of course...Probably not.
Interestingly, the Neumann KH80, Kef R3, and Genelec 8341A are more similar than not up until about 4khz at which point Genelec diverges with consistently wider dispersion. I suspect that this, too, is audible and probably what leads to the common perception that Genelecs are brighter.
Missed this somehow, but it lines up close with my impressions. That is, Revel has the widest treble dispersion, KEF the most narrow, and Genelec somewhere in between. Given that they are all neutral on axis, that should also track with perceived brightness. Revel will be the most bright, KEF the most laid back, with Genelec and Neumann somewhere in between. This also tracks with my impressions. My guess is that preference will closely align with dispersion width preferences.
Looking closer, the Genelec and KEF actually track incredibly close up to 3k, beyond which the KEF becomes more directive. I imagine the Genelec and KEF sound quite similar for most instruments. This also means they will likely soundstage and image very similarly, with the Genelec having a bit more "air" but also being more fatiguing. The Neumann and KEF track closely beyond the point that the Genelec and KEF separate, which I'm guessing means they'll have similar amounts of "air". The Neumann having the widest bass and low mid dispersion is interesting, what effect will that have on the soundstage? I've never heard the KH80.
The Revel is the odd one of the bunch, and the most different overall. It's more directive in the bass/midrange, but then becomes the least directive by far up until the top octave, after which it becomes the most directive once again. Should have the widest soundstage, least precise imaging, and brightest. Actually, the Revel seems the least uniform and controlled, and should sound the most different and be easiest to pick out in a blind test(maybe intentionally). Other three might difficult to tell apart under blind conditions.