> At night I can watch the lights
> slowly dim and brighten.

If they measured the voltage at the end of the line and
compensated by raising and lowering it coming from the
generators then folks close by would see a variation
like that.  But I get the impression the power companies
don't ever do it this way.

Enough people have responded with suggestions about
a bad neutral connection that I guess I'd check into
that.  A dead giveaway for this problem
is if the "other half" of your circuits show the
opposite voltage variation corresponding to what you're
seeing now.

Barry

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