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The reason some horns are rectangular is to limit the vertical dispersion in order to avoid interference from floor and wall reflections at the lower end of the response. This is a feature not a bug.
True, but that "feature" is based on altering the sonic waves. In an audiophile purist world, that is not a desirable thing. I would rather have a spherical dispersion with additional diffusers on the ceiling,
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Now that was a fairly long tractrix horn but it was the beamiest thing I have ever used. I have heard and used a few other shorter round tractrix and rectangular tractrix, cone and CD driven, with much more satisfying results,
Exactly.
a 6kHz signal passing thru a 500Hz horn will do two things:
1. Part of the signal will pass thru (beaming)
2. Part will resonate in the horn as the length of the horn is too long for wavelength of 6kHz.
That is why I am planning to use two horns of different frequencies.