I was assuming (again) that the center tapped transformer referred to earlier has 230V across it and 115V across one half. Where does the 230V come from that supplies the transformer if not phase to phase?
Replace 230V with 240V if needs be.
Mike.
Edit, and how do you get 240V two phase if it's only 208V between phases?
Edit2, I obviously don't understand the term "two phase". I'm so confused.
The distribution systems are three-phase just about everywhere in the world. The voltage and phase arrangement to consumers is set by how the final transformers are arranged.
A single-phase transformer can easily be made to produce two phase (aka split phase) by having a centre-tapped output winding. This is often done in full-wave rectified supplies and on 110 V transformers for building site tools, which give 55 V two phase.
In America, each house is run from a split phase, so there are two live outputs, but the distribution system will still be 3-phase, so there will be effectively 6 phases, at 0 °, 60 °, 120 °, 180 °, 240 ° and 300 °. One house would be fed with a pair that are 180 ° apart, for instance 60 ° and 240 °.
In an apartment building, such as the one For The Popcorn was in, it's quite possible that the distribution systems only had three phases. Each phase would still be 120 V to ground, but where two phases are supplied to one apartment building, there is only 208 V between phases, and a heater produces 75% of the heat that it would on 240 V.
Edit. It's been pointed out that split-phase, with two phases at 180 °, isn't called two phase. Two phase has the live wires at 90 °
https://en.wikipedia.org/wiki/Two-phase_electric_power