waross, interesting. An autotransformer with a low side delta, but I'm not sure what the high side is; it isn't delta since the ends of the windings don't connect and it isn't wye since there isn't a wye point. It is probably as close to a delta-delta autotransformer as one might get, but it certainly isn't a wye-delta. Custom built, the tap could be anywhere on the winding to provide what ever ratio might be desired. Lots of high side current circulating in the inner delta though, lots of copper and iron for a given MVA rating compared to a wye-wye. A paper exercise, not a practical transformer.
Back to the OP, he needs to check his nameplate again. My guess is that he has a Yyd and the 'd' is probably less than 35kV while the two voltages listed are the 'Y' and the 'y'. No phase shift between the H and M (Y and y) windings.