Having a couple of decades experience in servicing/repair of commercial and consumer electronic equipment and additional training and experience in industrial site experience (both electrical and electronic circuits), I have never seen descriptions or designations stated as 2-phase, for any type of transformer.
Or: Hey bub, you gotta single-phase-in, 2-phase-out transformer?
But I have seen and used transformers with multiple taps, on both pri and sec sides. The number of taps on either side of a single-phase transformer don't change the output(s) to 2-phase, regardless of how many there are (pri or sec side). Monophase sounds odd, like it's not related to electricity. How about uniphase? Yep, found an example (and diphase) used in a book c
1905. Electricity In Every-day Life Edwin J. Houston PhD. You know that's gonna be interesting just because it was authored by a PhD.-- Cheers, WB .............