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which is what most pre-MR Altecs were at least an approximation of. Expos exhibit a doubling of cross section area at regular intervals of length, the "speed" of which is determined by the flare rate. Since both 828s and 816s share the same horn flares, but have different CSAs due to differing "flat" sides (parallel vs non), either one or both may not be "true" expos.
One of theses days I hope to understand horns well enough to build one...... classical horn theory any way. I always knew the horizontal (when looking at something like an 825) was important, but what about the vertical..... which is of course needed to have an area.
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Still, it stands to reason that a radius could be exponential, depending on the radius' dimensions and the flare rate.
My thoughts, having had some higher math, is that a constant radius is probably a good approximation over a limited distance....... for example, if you look at a small enough piece of a curve it can be approximated as a straight line.