Hi,
the windings determine the count of phases.
Practically AC synchron motors as well as stepper motors are not much different from a standard BLDC motor. They have different winding geometry (and magnet geometry) and count. Like 2 phases.
****
The 3 phase AC (sine) system has some benefits:
* adding the voltage of all three phases equals zero - all the time. Thus the sent out electric field (cable) is minimized.
* the same is true for the current and the magnetic field
* if you square each current (or voltage) and add all three signals, then it gives a flat line. This means the drawn power is constant ... and thus also the torque is (almost) constant.
For sure we don´t control BLDC with clean sine, but still the three phase method has benefits over 2 phase or 4 phase.
If you go higher with phases ... it means a lot of production effort and thus the motor becomes more expensive.
Klaus