The composer Alvin Lucier used a similar method in "I am sitting in a room". I wanted to perform the experiment faster, with shorter sounds, so that the resonant frequencies could be discovered quicker. I snapped into a microphone, then the sound was delayed about a half second before being played back into the room. Then, by composing from the recordings, I could compare them and show how much they differed.
Here's my first stab at composing this stuff. The audio in this file is really quiet, especially the lower tones.