@amir_asr You may notice that I did NOT call your system a ’lousy audio system’...I wonder why?? I could have stated that having a big screen TV between the speakers and having your gear placed on your auntie’s dining room side board cabinet is not exactly anything but...laughable! But, for some reason i did not say that before, however since you want to play that card....;0)
It is only laughable if you have gotten your knowledge of acoustics from stuff you read online and lay intuition. Due to precedence effect, the on-axis sound, and not the reflections rule predominantly what you hear. And this is naturally not impacted by the room (above transition frequencies). What reflection there is, gets attenuated due to much longer path length of that front wall.
Now, if you have a speaker that has screwed up directivity/off-axis response, these reflections than change the tonality of on-axis sound. This is why our speaker measurements include such information:
Notice how smooth the back-wall reflections are and how similar they are to on axis. The only ones that deviate are the ceiling and floor ones. For that reason, I have a special rug that is very thick and is designed to absorb down to that frequency. Yes, not every acoustic product needs to look like a child blanket hung on a wall!
Back to this speaker, see how nice the sum of early window reflections are (in blue) relative to on-axis response (in black):
This is nearly textbook perfect. You can see it in the predicted in-room response which includes all the reflections you think are "bad:"
This matches top class studio monitors used to produce content:
Perceptually, your brain adapts to the room above transition after a short period. It learns that the room reflections are a constant secondary data that adds little to the primary sound. So it starts to filter them. For this reason, a specific speaker sounds similar when placed in many different rooms. The speaker dominates, not the room.
If the speaker has really awful off-axis response however, the brain thinks that it is bringing more to the table so adaptation doesn't occur as much. For those speakers, which you should have avoided, you may want to put more absorption on the walls.
BTW, Amir, do you really think as an ex-pro musician and music teacher, plus being in the a’phile hobby for over forty years( dates me), that I cannot set up a couple of subwoofers in my system? Instead, i need to have an artificial tool to aid me...get a clue
As a musician, you hear sounds from a different vantage point than listeners. So that doesn't train you as an audiophile anyway. That aside, physics of sound don't stop in your room because you learned to play an instrument. That physics says that at frequencies below transition the modal density is low so you can get pretty narrow resonances at multiple frequencies. There is no way, no how you can just use your ears to tease them out let alone correcting them. Even the best acousticians in the world measure and then correct using DSP. No number of subs, or acoustic bandages is going to remove the need for this. Your room is ringing at some frequencies regardless of any manual tuning you have done.
Get a DSP and a measurement mike and be ready to transform the sound of your room and arrive at your next stage in audiophile life. Don't keep chasing the next cable, tube amp, etc. And oh, get speakers that have proper directivity or your acoustic life will be very difficult.