Tractrix in 1*Pi and 2*Pi

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Hi R,

Issues
The principal determinants of the acoustics of a low frequency horn are its length and mouth size. If you change either you have a different horn no matter how you ‘slice and dice’ it. Furthermore, as soon as you position a horn along a room wall, floor or more, you have also changed it acoustically. Its low frequency response will be extended, irrespective of what regimen you choose to use to design it.

Method #4, al la Klipsch
The best approach would be to lower design [fc] and extend horn length to support the longer wavelengths that are now possible. The number of drivers used is related only to the magnitude of [vd] that you require. If you cannot get it by increasing [xmax] of a single driver of a given [sd], then as you increase [sd], with larger or multiple drivers, you foreshorten horn length only, while holding dimensions of the horn mouth constant. Sometimes driver [sd] is increased to mitigate packaging constraints as horn footprint is reduced by bifurcating and folding it up into a room corner. In this case driver [xmax] may be reduced.

Regards,

WHG

If you increase Sd, don't you also normally increase throat size, which means that you're truncating the horn from the throat end rather than the mouth.
 
Yes

If you increase Sd, don't you also normally increase throat size, which means that you're truncating the horn from the throat end rather than the mouth.

But otherwise with Lm and St held constant the increase in compression ratio Sd/St may be beneficial.

Or holding Sd/St constant you may want to set Lm >= c/(4*fc), so the horn may get bigger.

n.b.: Lm - Length to Mouth

Regards,

WHG
 
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