Mark -- The pitch differences would be the result of different output (tail) shaft speeds. It is possible that the center screw revolved at some different speed than the outboard screws, although that does not sound like standard naval engineering practice. But, hell, I'm no naval architect.
It is possible that H&W chose to spin the center prop at an "off" RPM to reduce the inevitable vibration from propellers. The thought may have been to have the vibration of the center screw "fill in" between the pulses from the outboard props. Just a thought, but the Olympics were renowned for lack of vibration.
However, for the three props to work in unison they all have to push the ship forward the same distance in one revolution of the largest pitch propeller. So, if the center prop turns twice while the wing props turn once, there should be no problem. The center prop could even have turned 2.35 times (or some other odd number) in one revolution of the outboard props, if that produced less vibration.
The area of the blade has only an indirect influence on revolutions. Blade area provides the thrust. Slow-turning tugboats have blades with enormous area. However, the more area the harder it is on the engine to spin the prop. So, high-speed boats such as racing hydroplanes often have props with blades only an inch wide or so.
Getting the "right" combination of pitch and blade area has become easier in this computer-aided era. In 1912, however, it was a black art that involved a lot of "cut and try." This explains the somewhat regular changing of propellers.
Class dismissed before the teacher wanders any farther into his lack of knowledge.
-- David G. Brown