Hi Mick,
It's an interesting question. I haven't seen any research into it myself though.
But logically thinking about it:
The resonant frequency formulae for MAM walls (that I've seen and use) do not take
volume of the air cavity as a parameter, but rather the
depth of the cavity.
In the case of your wall idea. It would be akin to having two panel absorbers screwed to each other, then drilling some holes in the shared side. This reminds me of an article Paul shared with me here:
https://www.acousticsciences.com/art-no ... bass-traps
This article shows that increased air volume can indeed lower resonant frequency of panel absorbers, but what you have described isn't quite the same.
You don't have 1 membrane vibrating over a sealed box, that has additional volume added. You have a membrane vibrating over each stud cavity. So when you drill through the stud between, any additional air volume is already damping that cavity and isn't available to "soften" the resonance and lower the frequency.
It's more likely to act like a back to back double sided membrane absorber described in the article. Each stud cavity acts against the other.
I would expect no lowering of resonant frequency.
A better way to lower the resonant frequency of any wall would be to increase the distance between the studs by using deeper studs. Eg. 600mm centres instead of 400mm centres. This will leave more panel to vibrate freely, and reduce edge effects increasing the resonant frequency.
Dan
Stay up at night reading books on acoustics and studio design, learn Sketchup, bang your head against a wall, redesign your studio 15 times, curse the gods of HVAC silencers and door seals .... or hire a studio designer.