Here's an excerpt:
Conical Horn Geometry
Im often asked how horns differ from one another, and also how different types of horns differ in sound and design, such as exponential, tractrix, and new versions of these which carry the names of their designers. Ive put together some observations, backed up by actual frequency response curves and measurements, so that people can decide for themselves what types of horns would work best for them.
The above are the words of Bill Woods. If you are genuinely interested in knowing something about horns, this article is available in its entirety on the Acoustic Horn website.
I am not an expert but I can tell from reading these comments that many of you are overestimating your understanding of the subject. Do yourselves a favor and get the real info from someone who has devoted his life to this study.
Horns differ tremendously and Bill has as good an understanding as anyone of how and why this is true. Let him explain it to you. He's a scientist with a degree in industrial design and a lifetime of trial and error experience.
Those of you making categorical pronouncements about the limitations of horns - all horns - demonstrate the greatest need for education.