Me too….
The larger the diameter, the greater the circumference and therefore the higher the tip speed for any given rpm . At 600 rpm, for example, each blade is completing 10 revolutions per second. If it has to travel further on a large prop than a small one, it has to travel faster to achieve the number of revolutions.
AFAIK, the reason this affects Harvards particularly is the engine is un-geared, i.e. no reduction gearing, though this is not uncommon on other, smaller radials and not all Harvards have the same engine.