TLS Guy
Dang ! Gedeckt pipes, anti-nodes and Helmholz resonators. All in one paragraph.
If I knew what any of those 3 things were, I'd be impressed as hell with myself.
As it is, I tip my hat to you for understanding what they are AND being able to use them in a sentence.
I have the Salk Songtowers which I believe are modified TL cabinets with a circular rear port. So they may be in your subject area. I'm happy with them and I've never heard the ports make any noise.
Yes, you have a hybrid speaker. You have an abbreviated pipe terminating in a tuned cavity which is a Helmholz resonator. This was popularized by Martin J. King. You end up with a smaller enclosure and do extend F3 downwards a bit compared to a traditional reverse tapered TL
So you have variations on this theme, and there are a lot.
However this type of design behaves much more like a ported resonant reflex speaker than a closed pipe. The volume of the enclosure has a lot more impact on tuning than length. There are two peaks of impedance just like any other ported enclosure. The roll off below F3 is 24 db per octave, just like a reflex enclosure. So this is a resonant design.
This is the impedance curve of a mass loaded TL (Red Line).
A pure Gedeckt TL looks like this.
And this.
This is the impedance curve of the first line.
This the second line.
The first TL I showed you is the smaller line of my dual TLs, the second my center speaker.
This is the impedance curve of the larger line in the dual TL speakers.
Note in each case there is only one tuning peak of impedance.
The peaks of impedance of the dual lines are 48 Hz and 27 Hz, about half an octave apart.
The two combine to give this.
Since response is extending out to 20 Hz you can't see that roll off is second order 12db per octave.
However you can see it on the center line.
You can see that F3 is 44 Hz, and at an octave lower at 22 Hz response has only dropped 12 db.
In addition once the pipe is sufficiently damped to get one tuning peak and not two, then the speaker is aperiodiodically damped and non resonant.
Since we are talking ports.
This is the port of the shorter line.
The larger lines have a port on each side at the top.
The object is to get a clean but solid powerful bass without any hangover, that is highly articulate.