I really am not very concerned with speed.
Something around 50 times per second is probably more than adequate.
I am in the US so I want to avoid 60Hz for obvious reasons.
I will attempting to read the resistance on of a precision multi-turn(10) potentiometer.
I need a reliable, repeatable measurement of better than 1 part in 8000.
With 13 bits (8192) that might be just within realm of possibility.
Actually I plan to read both sides by applying a reference voltage (V0) to the wiper and then reading the output on both sides (V1 and V2).
Thus X1= (V1)/(V1+V2), X2 = V2/(X1+X2), X0=X1+X2 ... looks very much like a voltage divider but it is not ... totally mechanical

X0 is known and fixed (
i.e. X always = 8000). Thus whatever value comes out, it is scaled such that X0=X.
I may need to a 20 or 24 bit ADC to the achieve what I am looking for but the concept of being able use an internal ADC is very appealing.