settle down folks... Dan Dugan's Gain Sharing Auto-Mixer is not intended to mix music, and in fact I think it would probably not do a very good job of it. Gain Sharing Auto-mixers are designed to help manage multiple microphones in a conference setting, or possible in a very controlled speech reinforcement setting where there is no need for multiple speakers, e.g. a house of worship.
The original auto-mixer dates way back, and it used gates on all the inputs. In addition to turning a specific input on or off, it provided a logic signal to tell the 'brain' the status of each microphone. The brain would allow a fixed number of microphones to be on, and they were either on or off. Some had the ability to prioritize microphones, so the chairman or other designated position could override the rest of the microphones.
Gain Sharing auto-mixers do not turn channels on and off, but rather assign a specific gain to each channel as it is used. The concepts of "number of open microphones" and "chairman microphone" and even microphone priority are all still supported?
Why is all this necessary?
In any given space where speech is reinforced there is a limit to how much gain can be applied to a voice before the system becomes unstable (can you say feedback?) For each open microphone this total gain before feedback is reduced, by 6dB. So if the total gain before feedback is 60 dB, and you have ten open microphones then you now have 0 dB of available gain. As you might guess, that's a problem.
So the Gain Sharing Auto-mixer solves this problem by limiting the number of microphones that are 'open', and limiting the gain available to any open microphone.
Make sense?