Ok. Would bass trapping in the back of the room compensate for that?
Well, you'll need bass trapping at the back in any case, but you'll also need it at the front. That's a small room, so it will need lots of bass trapping, and there simply isn't enough space at the back alone. Besides, you need bass trapping in the places where it can be effective at damping all of the modes. Bass trapping on the rear wall alone cannot deal with modes that do not interact with the rear wall!
It looks to me like you are trying to follow the RFZ design concept for your room, which is a very good and quiet common way of doing it. RFZ implies a more live front end that directs all first-order reflections to the rear of the room, where they are either heavily absorbed (in small rooms) or diffused (in rooms that are large enough for diffusers). So the entire rear will have to be highly absorbent in your case, due to the design concept. But if the front end is totally hard and reflective, with no absorption at all, then the room is too much like the old LEDE concept, which RFZ replaced. LEDE was abandoned precisely because it just doesn't "sound" right, and isn't comfortable to work in (it is rumored to be rather fatiguing on the ears after many hours of critical lsitening).
RFZ takes the basic concept of LEDE (which is a good concept), but improves on it by dealing with the problems in LEDE. Part of that problem was the imbalance in absorption between front and back. If you look at John's soffit design, he has some pretty major absorption at the front of the room, even though it is mostly reflective: the entire bottom section of the soffits is filled with hangers, plus he also puts deep absorption on the lower half of the soffit front panels. That helps very much with reflections off the back of the console and desk, but also "softens" the front end of the room in general. In some of his designs, John also adds more absorption up front, for the same reason: so that the room is better "balanced", front to back, in terms of "live" and "dead". Yes, the front is still much more live than the back, but it is nowhere near as live as a true LEDE design (which was the other way around, in any case). John also uses some reflection on the sides and even the rear, as needed, to keep them room from being too dead, and once again to balance toe overall effect.
At least, that's my take on what John does, from trying to analyze the way his rooms work! I may be wrong on some of the details, but take a close at his designs and you'll get the general concept: balance and neutrality, with a generally more reflective front end and a generally more absorptive rear, and combined absorptive/reflective/diffusive sides.
There is however much unused space behind the soffit mount, that will be filled with loose mineral wool.
Yes, but that is inside the soffit cavity, and its purpose is to damp the multiple resonances going in in there. It won't have much effect on bass in the room, since technically the speaker cavity is not really part of the room, but rather is part of the speaker.
I understand, this is not the same as a bass trap, but it should also work on low frequencies, I suppose, as really low frequencies will not be stopped by gypsum boards or MDF pannels with 3 - 4cm thickness.
You'd be surprised! The surface density of a 4 cm panel of MDF is about 34 kg/m3. That gives you roughly 32 dB of transmission loss over the range 100 Hz to 3200 Hz. According to mass law, you are still getting 21 dB of TL at 80 Hz. (kick drum fundamental, aprox.) and even way down at 35 Hz (low bass guitar) there's still 15 dB of isolation. So no, not much bass energy will be getting through to that insulation inside the cavity.
what would your advice be? Where could the bass trapping be placed, if not under the speakers?
I really don't know, to be honest! Perhaps at the top, in the wall/ceiling corner, if you have enough space up there? Or maybe Glenn has a better take on how to deal with that? My concern with leaving a gap above the top of the soffit would be that you'd still get edge diffraction going on up there at the top edge of the soffit, since your top speakers would be so close to the ceiling anyway. Another option might be in the top half of the front center soffit?
It's a tough situation...
- Stuart -