Auxiliary phase single phase motors can be of two types, starting motors without capacitor and capacitor. They are usually found with 2.4 and 6 poles, for the frequencies of 50 to 60 Hz, which combine in several network voltages for the rotation reversal. https://www.mrosupply.com/v-belts/cogged-v-belts/ax-section/5784505_ax20_gates-rubber/
The capacitor starting motors have identical operation to the starterless capacitor, which is only connected in series with the auxiliary capacitor winding. Normally, the capacitor is used in engines that depart with greater load. The speed of single-phase motors will depend on the number of poles and the frequency of the mains.
On starting motors without a capacitor, the auxiliary winding is connected directly in parallel with the main winding during startup. When the motor reaches a certain speed, about 80% of normal speed, a circuit breaker switches off the auxiliary winding, running the engine only with the main winding. Auxiliary phase single phase electric motors equipped with capacitors have a more forceful torque. When the single-phase motor is stopped, the springs cause the centrifugal masses to push the spool over the contacts, closing the starter winding circuit.