Q - "Hi everyone. If i have a small, square 11'x 11' listening room am i doomed to have no bass? No matter whether i add a subwoofer or two? Can i never get any better bass than 50hz?"
A - "This is a common and, to some, and intuitive conclusion. The assumption is that if you can't fit a wavelength in it, the room can't support that frequency. Intuitive as it may seem, it's wrong.
I wrote an extensive article debunking this myth in a recent AudioExpress issue. Rather than going into that level of detail, let me summarize the principles and conclusions. "Sound," as detected by the ear, is the pysiological response to movement of the eardrum. For the eardrum to move in response to acoustical stimuli requires a periodic chnage in the difference in pressure on one side of the eardrum vs the other. This is germaine to your question, because what is says is simply that you need a change in pressure of a sufficient amplitude and within certain frequency limits to hear the sound.
Now, we do not "hear" wavelengths, we hear pressure variations. So, to perceive a sound, all we have to have is the pressure variations in the air in the vicinity of our ears, variations, again, of sufficient pressure and within a certain range of frequencies in order to hear something.
SO, all the loudspeaker has to do is cause those pressure variations to happen, That's it. It doesn't make ANY difference how big the room is. In fact, consider the lowly headphone> if the "intuitive" conclusion was correct, it would be impossible for headphones to have ANY information below a few thousand Hz, being that the size of the "room" they are working into is only a couple of inches in its largest dimension.
Another example of how it is possible for "bass" to exist in a very small enclosure is the Bruel & Kjaer pistonphone calibrator, used for calibratiing microphones. It has a chamber which is on the order of 3/4" in it's largest dimension, suggesting a lower limit, using your rule of thumb, of about 9000 Hz. Yet it operates quite nicely at its design frequency of 250 Hz and, in fact, can be slowed down to a few Hz. Above the frequency here simply air leaks dominate (a fraction of a Hz, the response of this "room" is essentially flat from about 5-10 Hz to about 800 kHz, where is stops working in pressure mode and starts working in various resonant exitation modes.
And that's what's happening in your 11' x 11' room. About 50 Hz is the frequency where HOW the room works changes. At and above 50 Hz, it's operating in various resonant modes. Well above 50Hz, it's essentially operating in a diffuse field mode. Below 50 Hz, it's operatring in pressure mode, down to the frequency where the room "leaks" (determined by the volume of the room and the size of the leaks).
But, most assuredly, you can have bass at and well below 50 Hz in such a room."