There is single phase, 2 phase (that I doubt anyone here has ever seen) and 3 phase. If you only use 2 legs of a 3 phase circuit, it is single phase. Where you ground that does not change the number of phases. In fact 3 phase center tapped delta is just your regular single phase center tapped transformer connected to a delta primary with another transformer (or two) providing the 3d phase. OTOH if you corner grounded that delta you would have 2 (hot) ungrounded conductors and a neutral with 2 pole breakers but it is clearly still 3 phase. Two phase is a totally different breed of cat with 2 phases (4 wires)
90 degrees out of phase. This will usually be 2 transformers center tapped with the center taps grounded (5 wire). Split phase is a type of motor winding, perhaps the most common for AC compressors and other applications that use a start capacitor and no run capacitor. The "phase" is "split" by a start winding 90 degrees out of phase with the run winding.