You certainly get a gyroscopic effect with a 3B propeller in a Pitts or a Slingsby.
They are not 1/3 heavier but there is a w&b change.
My first Jodel DR1050 had a Ratier ground-adjustable metal prop.
I think it was heavier than the composite props on later DR1050s.
Peter wrote:
I don’t understand how the orientation could possibly matter since the moment of inertia is the same regardless of angular orientation.
I am afraid I last dealt with this in detail 30+ years ago at university…
Anyway you can visualize the crankshaft propeller flange not being exactly flat and perpendicular to the theoretical shaft line as a result of the excitation from the power pulses. In such case the effect on the prop will be different depending on where the blades are clocked re crank. For a 2B prop, at least there are no 1st order vibs aligned/clocked with the crank/power pulses. For a 3B, the excitation is definitely aligned in 1st and all multiple orders on a 6-cyl engine so I guess easier to excite!
@Peter that was a great and interesting study you did back then!