We study, experimentally and numerically, the synchronization properties of two laser modes. In order to stabilize the frequency difference, we introduce a coherent coupling by optical feedback. For a given coupling strength, we observe three synchronization regimes, depending on the detuning between the uncoupled modes. For a sufficiently weak detuning, the beat-note phase is fixed. Conversely, for strong detuning, the two modes oscillate almost independently. Besides these familiar behaviors, we identify an intermediate situation, where the relative phase fluctuates but remains bounded, and frequency locking is preserved, in spite of the absence of phase locking.