Me too. What, acoustically, determines mouthpiece volume? Where does the neck end and the chamber start? My guess is that apart from being a sales gimmick, it may help to make tuning easier/quicker as you can tune while you're playing.
The neck ends at its opening and that is where the mouthpiece chamber begins. It's that simple.
If you put tape over the lay of the mouthpiece and fill it with water which you then measure with a graduated cylinder, you can effectively determine the
"geometric volume" of the inside of the mouthpiece. The
"effective volume" of the mouthpiece when it is actually being played is the sum of the
"geometric volume" plus the volume added by the elasticity of the reed, and the contributions to the volume by the
"oscillatory effect" discovered by Helmholtz (something I don't yet understand). This
"effective volume" can also be changed to some extent by the player by tightening and loosening the embouchure and I believe by changing the
"voicing" inside the oral cavity---although I have nothing to back up this last assumption.
In Fundamentals of Musical Acoustics p. 466 Benade shows a chart comparing the
"geometric volume" of a soprano sax mouthpiece to its
"equivalent volume". On an average the
"effective volume" was found to be approximately 33% larger than the "geometric volume". Doing a measurement using the same techniques as Benade and Gebler on my Rousseau alto mouthpiece, I obtained a similar result. It is this
"effective volume" that must closely match the volume of the missing cone in order for the instrument to play its best.
I was hoping that the original patent for the "microtuner neck" would have a reference to the advantage of not changing the volume of the chamber of the mouthpiece, but it makes no mention of such.
Patent US 1308903
I believe the reason the microtuner was dropped, was because of the expense, not because it was not useful. If I ever get a Conn with a microtuner it would be easy to test the intonation of different registers by tuning the sax both ways and comparing the results.