>Depending on what other load is on the same transformer (your neighbotrs
>houses, for example) and how unbalanced the load with the floating neutral
>is, and a few other factors, you can see some pretty dramatic swings.

This may be as big a factor in your lighting brightness swings as any of the
other things suggested. If you have a neighbour with any of the faults
suggested so far, especially in the neutral line of a multiple earth neutral
installation, then their neutral current could be coming back up your ground
connection to the supply neutral. Your voltage at the fuseboard will then
vary somewhat according to what the neighbour is doing - imagine what
happens when the washing machine motor switches on and off.

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