Humans spontaneously synchronize their movements with external auditory rhythms such as a metronome or music. Although such synchronization preferentially occurs toward simple 1:1 movement-stimulus frequency ratio, the extent to which spontaneous synchronization can also occur toward more complex frequency ratios remains largely unclear. The present study investigates the occurrence and dynamical stability of spontaneous auditory-motor synchronization at multiple frequency ratios. Participants performed index finger oscillations at their preferred tempo while listening to auditory metronomes with frequency progressively increasing or decreasing between 1 Hz and 6 Hz. The results demonstrated that participants' movements were not only entrained toward the 1:1 frequency ratio but also toward the 1:2 ratio. The occurrence and stability of these ratios differed as a function of the direction of frequency change. Participants synchronized to the 1:2 ratio and transitioned to a 1:1 ratio in the descending condition. In the ascending condition only the 1:1 ratio was sustained, for a longer extent than in the descending condition. These results show that the initial coordination pattern influenced pattern transition, demonstrating the occurrence of a hysteresis effect that is typical of complex system dynamics. These findings provide new insight into the mechanisms underlying the occurrence and stability of spontaneous movement synchronization to auditory rhythms.