WHY three phase has been firmly adopted around the world is that instantaneous power (therefore also torque) of a three phase induction motor is a constant. For single phase and two phase motors, it is a pulsating torque.
Not true. You forget that the waveforms are sinusoidal; theoretical point source magnetic force (relative to current) can produce perfectly smooth torque from the minimum of 2 phases, 4 poles total; it's good old sine and cosine: one of the electromagnets is gradually reducing its force, while the other one is increasing. Between the poles, both electromagnets are contributing to the force at the same time.
So there's nothing pulsating or wrong in 2-phase, that's exactly why when we implement FOC on 3-phase motors, we mathematically transform the measurements to two phases, and then the controls back to 3 phases; nothing is lost. No pulsating torque anywhere; torque is exactly controlled by a constant setpoint in a rotating frame of reference.
Small gains in torque ripple can be had by adding phases, because real motors can't have perfect iron shape. 3 phases is a modest improvement from already very good and smooth baseline. 6-phase motors exist in large end of machines.
The evidence is the ubiquitous capacitor-run single phase (i.e., two-phase) motors, which don't even have the luxury of exact 90deg phase shift (a capacitor cannot do that), yet good motors provide very smooth operation, with 2 phases. With 1 phase, that's impossible, though - there is no rotating field, control is 1-dimensional, so torque pulsates between maximum and exactly zero, and nothing can be done about it, except give starting torque somehow and add inertia to make the rotor pass the deadzone of no torque.
But 3-phase, 2-phase or any-phase where n>1 and phases define a 2D plane, perfectly smooth, constant torque can be had (in theory).
Really, the reason for 3-phase is the clever balancing of currents, so that an extra return conductor (neutral) is not needed for a motor. It's not a small optimization, but pretty big one. Naturally increased pole count and modest torque ripple reduction is an added benefit; a 4-pole pair per phase (1500 / 1800 rpm) 3-phase motor has 12 physical poles in it, which seems to be some sort of sweet spot in medium-sized motors. A larger motor might have 36 physical winding slots in its stator, which means one pole shares 3 adjacent slots; which is
slightly non-optimal for torque ripple; 9-phase motor would use one slot per one winding. No big deal.