Exponentiality of Human Rhythm

Under this esoteric title, I'd like to introduce a glimpse into a subject that I think should be studied!

I have thought for a long time that there was just something interesting, and mathematical, about the way that noise grows with human interactions.  Here's what I mean: with one person, you have very little noise - the person is thinking, and maybe shuffling around and moving objects.  Then you add one person.  The two people talk and have a small conversation. Then you add one more person, so there's three people.  The inclusion of another person makes the two more excited, animated.  Then have another person, with four people its loud, there's multiple things going on, with five they can split into groups, go more places, not be huddled at one spot around a table or standing.

Then take this to the next level, when you walk into a place with more than 5 people, there's usually alot of excitement, conversing.  The noise goes up, the background noise is louder, the people are louder, and the action is increased.  Go into a coffee shop and its loud hum of talking, working, preparing food, etc.  Go into a restaurant and its scinitillating with noise bouncing off the walls when it gets busy.  Lastly, go to a stadium, where people are all gathered together; you can't drown out the noise except with a loudspeaker.


I think the jump from one noise to two, and then three, is interesting, because its such a huge change.  I have a feeling that mathematically, this is exponential, the way loudness and activity increases with more people.  I'd be interested in recording the decibel value of two versus three people conversations, and seeing if there's a commonality that could be traced back to a mathematical formula.