I think the 3 minutes on/off was the time it took for someone in the house to turn on or off a different light/appliance or whatever.
Your initial post seemed to indicate that it was cyclic. That's why I was thinking about either an industrial process in the neighborhood which was causing a 3 phase imbalance with the resulting earth current, or even a neighbor with a well. I had to find and fix a relative's well water system because the foot valve started leaking, so the pump would continue to cycle on and off to maintain domestic water pressure.
btw..trivial fact.. if you use a stethescope and a pickax, you can locate underground sounds.. Stab the pickax into the dirt, use the steth on the other end. The pointy buried end will act as a directional mike. By using that, I was able to get to within 2 feet of the head of the well, it was 5 feet underground.
jn