I swapped out a working North Hollywood modified tach with a known good Brazilian VDO tach that more closely matched the other gauges in the car.
When I put the Brazilian tach in it didn't work, but as I wiggled the connections, trying to figure out what was wrong, I noticed that it would work if my finger was touching the middle "1" terminal and the tach housing at the the same time.
I made sure there were no grounding issues and there weren't. The resistance that my finger created by simply touching the case and the terminal at the same time made it clear that I needed a resistor to solve the issue.
Side note. If I touched the case with one hand and the terminal with the other, the tach worked, but I also got zapped!
So, I went to our local Radio Shack, which is selling everything off prior to the end of the month when they close for good, and bought several different values of resistors.
I found that connecting a 100K ohm 1/2 watt resistor between the terminal and the case resolved the issue. Putting it inline between the wire and the terminal didn't work.
What the heck?