Well when I said 'bass management system' I was referring to automated systems eg Audyssey, Trinnov Optimizer, Dirac Bass Control, etc. I'm not super familiar with the Geddes approach, I've only read a couple of short papers from him. What I read indicated that it would be unsuitable for multichannel audio and since I don't want two completely different signal chains in my system I discarded it.
I did some recent Googling and I couldn't actually figure out one source that fully explains Geddes on subwoofers.
There are various short papers written by him, and some videos, and they all seem to contain small contradictions in methodology and requirements. For example in one of the early papers he says that EQing the mains based on room data should never be done(at what frequency range? My room contains issues at 100-500hz that actually exceed the low bass problems, and EQing them audibly fixes a lot..). But then
in this video he states that not being able to EQ mains was a limitation imposed by the customer's setup...?
Geddes states that the mains should take the full signal and he doesn't seem to address the possibility of them being overloaded as a result. Some other sources indicate he assumes large, high output mains. In multichannel the LFE signal is way too loud for it to be realistically mixed into the mains unless yours have the same output as true subs. Also, as he notes in the video, the actual levels that each of the bass sources will play is unintuitive and calculated by his computer program. But there's no way to predict it in advance, and it varies by huge amounts! How can you compensate with a single gain setting if one of your small subs is tasked to play 20hz at a high level? The
page I linked above states that you could use subs of different size by placing the smaller ones closer to the listening position, and that may be true on average, but it ignores the fact that the filters could easily render small listening distances differences irrelevant.
Finally, I think you need to send your measurements to him to actually get the real solutions? According to the
MSO page listing approaches, "Despite discussion in that thread spanning twelve years, he's never described specifics of how he computes the per-sub filter parameter values."
This all seems really complicated, confusing, and lacking information.
MSO supports an optimization strategy using the Geddes approach(in the most high-level sense) and it addresses various additional complications including the dissimilar subwoofer issue. They have you high-pass your mains if they're not "of closed-box type, with high power handling and an anechoic low-frequency cutoff of 80 - 90 Hz".
Dirac claimed that their Bass Control would eventually be able to use mains as supplementary bass sources, but as far as I know that isn't working yet. In theory it should be possible for software to programmatically measure your mains limitations and tailor the resulting matrix of EQ solutions for each bass source to match.
Honestly my long term plan is to just get a processor with Dirac