Brucehoult, just one minor correction to what you said. An 11kV supply is normally 11kV across any two phases with ~6.5kV measured from any phase to ground(earth)/neutral. This is the industry standard and I can't imagine things are different in the antipodes. So your transformer would be fed by two phases, 11kV with 120degrees difference.
There are three conductors further along the road, until the last milking shed. But the poles to my transformer carry only two wires. Yes, I expect they are two phases with 11kV difference and 6.5kV to earth but that's not felt by anything on the secondary side of the transformer which is inherently floating until you earth something.
What I know because I measured it within a few seconds during the fault:
- neutral on all sockets was at 100V wrt the GND pin
- some sockets had 140V phase to neutral
- some sockets had 340V phase to neutral
So I've never measured phase to phase between two different sockets (which would probably need a very long extension cord to a completely different part of the house, not just different sockets in the same room) let alone put both on an oscilloscope, but I'm pretty confident they are 180º apart, and it's not two 120º phases with the transformer using ground-to-phase on the primary side(s).
I do have a very long extension cord I normally use with weed trimmer or pressure washer, and multimeter and 4 chan oscilloscope so I guess I could make the test ... but of course neutral pin is solidly the same as earth pin at all sockets NOW.