A transmission device for converting vibratory movement into rotary movement in a horological mechanism, comprising at least one oscillated magnetized member and one index wheel presenting at least one toothed track, both being of magnetizable material, and both having periodically repeated teeth or poles of the same pitch thereon, wherein the said magnetized member has a comb formed into a plurality of individual poles, the pitch of the said poles being equal to the pitch of the teeth on the said track so that all the poles of the magnetized member are simultaneously in the same relative positions with respect to the teeth of the track.