mhardy6647
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Oh.We talk about pistons of 1" having such and such characteristics, but in fact almost none of the tweeters fitted to commercial speakers are made in designs which could remain a piston for their whole pass band. This is mainly because of available materials and the ease (ie cost) of making complex shapes.
The reality of dispersion at highest frequency will depend on the break up modes of the tweeter at least as much as its diameter.
As long as I am babbling...
Roy Allison (one of the stalwarts of AR, who had a long and pretty distinguished career on his own, too) had some interesting ideas for "dome" style drivers in the 1970s. The Allison loudspeakers were quite nice and very different compared to the monkey coffins of their time.
source: http://www.classicspeakerpages.net/...ies_brochure_2/allison_one_series_brochure_2/
The unusual shape of the (paper) Allison tweeter and MR diaphragms remind some folks of nipples Probably bottle babies.