Yeah, you are gonna have to get a microphone to analyze your room.
In short, the mixing position is where you should get a true representation of the sound from the speakers.
There is something called 'room modes' where there can be a particular dip or boost in frequencies due to phase cancelation/reflections.
No one can ever have a perfect room, but there are many ways to improve the sound quality to get the best representation of whats actually being played from the monitors.
You need to treat your room correctly first (early reflections, flutter echos, bass buildup in corners).
You can actually over-treat your room and make is sound dead so be careful how much and where your place your treatment.
Then you need 'room correction eq'.
A good mixing level is around 83db.
So get a mic to use as a decibel meter (if you cant afford one there are a few
iphone apps that might do the trick) to measure how loud the sound is from your speakers to your mix position (should be around 83db consistently).
Then do a full sweep of pink noise from 20hz to 20,000hz and measure the low, low mid, mid, high mid, and highs with the decibel meter.
In a perfect room, each frequency you play would show up on the decibel meter at 83db, but in your room, when you scan through all the frequencies from the mix position, your decibel meter will show you how loud each frequency is from that particular mix position.
You will be surprised when you see your low end at about 60hz may be building up in your room at about 95db and your mids may be dipping down to 65db... so with corrective eq you would adjust each frequency so you are hearing all off them at roughly the same level (83db is a very common mix level).
I will be posting some longer posts going in depth with room correction, i just dont have much time now.
Hopefully you got something out of this.