This is only speculation on my part, because I have never seen anybody discuss this. But I think the size of the wavefront is what makes a big speaker sound big. I don't know how many of you have had the chance to hear these:
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Polar plots and directivity charts express the measurement in degrees, so a small speaker with a 30deg cone of radiation looks the same as a huge speaker with a 30deg cone of radiation. But they most certainly do not sound the same. I am pretty sure "the size of the wavefront" can be measured, but we would need invent a new measurement standard for it. Maybe I am being ignorant here, because (as Dr. Uli told me in another forum), "if something so obvious has occurred to you, be assured that it has already been considered" which is a polite way of saying "there are smarter people than you out there"