here's a cross section of the concept. the rotor shaft (not shown) would be along the bottom of the page. there are two sets of windings. windings "A" generate a large magnetic field, which loops around frame "D" and laminations "H". the disk has slots in it that act like a magnetic switch, modulating the field received by pickup coil "E"
so now the maximum frequency is controlled mainly by the speed and the number of slots in the spinning rotor. and those can be packed together pretty tightly! it's very similar to how a Hammond organ works.