Caveat as others have stated: I am far from the most experienced on this board, especially in asymmetrical rooms. Here are some thoughts though.
I think it is useful to look at the L and R channels independently, especially when there is asymmetry. It's also useful to focus on the low end first;
First thing that springs to mind is the null on the left around 61Hz. That is a nightmare, and must really mess with the imaging and perceived level of crucial elements like the resonance of the kick drum. In the absence of photos of the measured setup it is difficult to guess at the cause, but perhaps something to do with the primary width mode of your room?
I plugged the dimensions of your room into this room mode calculator, with an average of the width, and it identifies the primary width mode as 62Hz.
https://amcoustics.com/tools/amroc?l=595&w=276&h=326&re=EBU%20listening%20roomAs the speaker and / or listening position moves across the width of the room the volume of this frequency will go up and down. Perhaps the room asymmetry is causing an uneven response at the monitor and / or listening position? It would be interesting to see the result of measures with you moving the listening position left and right. Although this may be moot if you even up the symmetry of the room.
Second thing is the peak on the impulse charts of both L and R;
Ideally all the peaks should be below -20dB after the direct sound. There are really nasty peaks much louder than this at round 0.7 milliseconds in both speakers. This means the path for that particular reflection is about 24cm longer than the direct path from speaker to the measurement mic. Any idea what could be causing these? You can use the string trick described by Stuart to find them; (from post
https://www.digistar.cl/Forum/viewtopic.php?f=14&t=208&p=1373&#p1373)
Soundman2020 wrote:I have placed the cursor at the biggest issue, which is a very strong reflection at about 3.1ms after the direct sound, but you can see several other reflections around that area. The ideal is to have no reflections larger than -20 dB for the first 20 ms, and as you can see, you have several. Each vertical spike on that ETC graph is one specific reflection. That big one at 3.1 ms is nasty: just a couple of dB down from the direct sound, in fact. I mentioned this in an earlier post, and what it does to the psycho-acoustic ability of your ears and brain to correctly interpret sound.
So I would suggest that you try to identify that guy, and get rid of him! Fortunately, there's an easy way to do this, which I call the "string trick". You are going to need a long piece of string, some masking tape, and a marker pen. From looking at the REW data, it's clear that your reflection is arriving at very nearly 3.08ms after the direct sound. Since sound travels at 343m/s, that means that it must have traveled about 1100mm further than the direct sound did, to arrive at the mic 3.08ms later. So, all you need to do is to find out which surface in your room creates a path that is 1100mm longer than the direct path from the speaker to the mic! Simple. In other words, the reflection is traveling about a meter longer than the direct distance, which is why it is delayed by 3.08ms.
So, first carefully measure the distance from the acoustic center of the speaker to the tip of the mic, then get your piece of string and measure out that same distance PLUS 1100mm along the string! Leave a little bit of string free at one end so you can tape it to the speaker, make a mark on the string with your marker pen, then measure exactly the distance "speaker to mic + 1100mm", and make another mark. That distance is how far your nasty reflection is traveling. Now gently tape one end of the string to the front of your speaker as close to the acoustic axis as you can get, (gently! don't damage the speaker!!) such that the first mark on your string is right up against the front face of the speaker. Now attach the other end of the string to a mic stand (without the mic! Don't risk messing up your mic...), set up so that the second mark on your string is at the exact spot where the measurement mic was when you did the REW tests. So no you have your string danging down, with one mark on the speaker axis and the other where the mic was: all you need to do now is to take the middle of that dangling loop of string and move it around the room, to see what surface it touches. Bingo! That's your reflection point. It might be on the wall, or the ceiling, or some piece of furniture, or the desk... try many spots all over the place: you might even find that there are several spots that you can reach with the middle of the loop: put pieces of masking tape on all of those, with a visible mark at the point where the string just touches the surface. You might need help with this, so you don't accidentally pull over the mic stand, or pull the string off the speaker.
Cheers!
Jennifer