Hi Harmonics drive is used mainly as a zero backlash (if there is such a thing) speed reducer in robotics and similar precision application. The "drive" is a misnomer as it has no self motive power. It is a differential gear system in the sense that it works because of the difference in the number of teeth of the meshing gears. The design provides tremendous reductions such as 100:1 in a single stage with very few moving parts. It is a completely mechanical device and does not involve any electricals as the name implies. I have never heard of the harmonics drive used for speed increasing application.
I must say that usually one would want to reduce RPMs from the engine to the propeller, specially when you're dealing with a turboprop (high revving) type power plant.
I appreciate your point about reducing RPM from engine to propeller...I had not thought about that!
Generally the harmonic drives I have come across are generally low power torque applications. I dont know if they can withstand the extremely high torque involved in a propeller.
The output torque in a harmonic drive is carried through a thin flexible springy sheath like member with teeth. this member called flexispline undergoes continuous deformation, theoretically within the fatigue stress limits. I am not sure if this can withstand the torque involved. Moreover I have a feeling that speed reduction required from engine to propeller may not be so great to warrant the consideration of a Harmonic drive.