I have tried several subwoofers over the years trying to get the right sound. All of them seem to vibrate at the wrong time or cause reverberation on the walls and cabinets around it. I have an acoustically soundproof room. But I didn't consider the wetbar and cabinets I added would cause issues.
My question is is there a device or receiver with tuning mic, that recognizes what frequencies naturally vibrate in my space and either invert them or remove them from the audio signal altogether? I know audiophiles are rolling their eyes, but to me good sound is better than perfect. I like a lot of bass while watching movies on Dolby Atmos, but the vibration of other objects in the theater make a $15k sound system sound like a lowrider pickup with rust issues.
I've been looking for a bandpass filter with mic to put before my subwoofer, but so far no luck.
Nothing will tell you what's rattling, but if you like the sound, I would concentrate only on stopping the rattling. This can be a pain, partially because the sound is hard to locate in many cases- it seems to be coming from one place, but it's actually happening somewhere else.
I have had to do this on some installations and it has saved a lot of time, because the client could never be sure of what music was playing- it was someone else who heard it, then relayed the info to the owners.
Download a tone generator app for your smart phone. I use several-
Tone Generator Ultra
Soundcheck
NoiseGenerator from TMSoft
Tone Generator Ultra has the ability to do frequency sweeps and you can determine the low & high limits, to reduce the time spent waiting to return to the range where you have trouble. You can also change the frequency manually, which is best done after the sweep reveals the frequencies. The sweep speed can be adjusted, too.
You wrote 'reverberation', but what's really happening is called 'resonance'. It could be the drywall/plaster walls, trim around ceiling lights (which I heard yesterday at a project), framed artwork on walls, items on shelves, etc. You can make it easier to locate the source if you cup your hand over your ears and rotate while standing in the middle of the room (do this when nobody is at home). You're hearing will be more directional and sounds from the sides and behind will be less audible.