A hybrid electric machine includes N phases (N≥1), each phase having first and second assemblies movable relative to one another and each having a set of teeth made up of a number of teeth that are equally distributed according to a plurality of periods, in which: a. the first assembly is made up of two magnetized parts, each including a magnet magnetically coupled with two toothed yokes, the magnet of one of the magnetized parts being polarized along the same axis but in the opposite direction to the polarization of the magnet of the second magnetized part; b. the second assembly including at least two toothed zones with pitches identical to the pitch of the toothed yokes; c. one of the assemblies has at least two sets of teeth in phase, and the other assembly has at least two sets of teeth which are out of phase by a half-period.