Greets!
Me too up to a point, but I found out early on that without a proper throat/mouth termination that it too left something to be desired. In my experiments I never went as far as Dr. Geddes did though, his and others ovoid shape was more than I wanted to mess with and not sure it's an audible or even perceived improvement over the same design as the round variant I empirically arrived at. Indeed, even with the best HF hearing person I've ever known could barely perceive a difference between my round and ~1.00:1.273 aspect ratio radial variant.
Right, the 'hole in the middle' on a conic expansion is due to its HF naturally falling on axis power response being distributed over a wider (flatter) arc than expo, etc. as you measured and why the 511/811 has more HF roll-off on axis with no vanes, i.e. they're more than just stiffeners.
WRT a conic expansion's intrinsic aberrations, look to telescope design for a ~complete tutorial on optimizing them along with Dr. Geddes's various papers, especially WRT compression driver filter chamber/initial expansion design.
I agree, it was a lone LC9A used for live entertainment that filled Hotlanta's first Shakey's Pizza Parlor in '67 that got me motivated to experiment outside the WE/Altec 'box' I'd been pursuing as the 'Holy Grail' of high performance sound reproduction. It sounded enough 'different' overall WRT my DIY A7-500s that were already somewhat optimized with what I'd already learned about cab construction, horn damping, polar response, etc. that it became an obsession to figure out empirically when I couldn't find much in the way of design theory. I've often wondered why it wasn't included in Cohen's book or any of its revisions.
GM






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