Not exactly, in a three way design, a large woofer for the bass and low midrange, and a smaller woofer for the midrange/lower treble, would do so, at least for the midrange. The problem one runs into is that something like a 4” midrange driver will still begin to beam at about 2500hz. A 1” dome tweeter will still beam at 8khz. If you were to design a 4 way speaker with a 12” bass driver, an 5” upperbass/lower mid driver, a 2” dome midrange, and a 1/2” tweeter for the harmonics, using xover points of 120hz, 1700hz, and 4khz, directivity would be matched fairly well. A 1/2” tweeter wouldn’t start becoming directional until about 17khz. The issue of varying directivity is still a problem though. Each driver will be very wide at the low end of their operating range, and get slightly more narrow as frequency increases.
This is why I personally think waveguides/horns are a good solution instead. You can achieve matched directivity easily with a 2 way or three way design, since the horn allows a much lower xover than if the tweeter were direct radiating, and the waveguide will control the directivity across most of the bandwidth. A 5.25” woofer can be run up to about 1800hz before beaming becomes an issue. A 1” titanium driver can be crossed over as low as 1000hz if the horn is large enough. A three way system with midrange and high frequency horns gives even more directivity control of the lower midrange, down to about 500hz.
The problems associated with timbre and imaging from uneven dispersion and room reflections of that uneven response occur mostly above 1khz according to Tooles findings. Considering this, a horn that controls directivity above 1khz, should solve these problems. It doesn’t matter if the dispersion is narrow or wide, as long as the directivity is uniform up to at least 10khz. Wider dispersion allows more reflections, narrower allows less, Geddes suggests narrow dispersion speakers (60 degrees comical) to greatly reduce room reflections. Toole suggests wider dispersion speakers. I personally think a middle ground is best. +-45 degrees seems just about perfect for most home audio setups. All seats fall into the pattern, and most room reflections fall on the outside edge of it, reducing their level compared to direct sound, but ensuring they’re of the same timbre as the direct.
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