Towards so far unpublished results concerning orbits in certain Langrangian systems, the author considers so-called Aubry qoutient sets, introduced in [Commun. Pure Appl. Math. 56, 1178–1183 (2003; Zbl 1046.37039)] by the author, which help to construct orbits by minimization in case of time-periodic Lagrangians. The main result provides examples for Lagrangians with quotient Aubry sets that are isometric to a closed interval. In addition, the author gives an example for which the Aubry set is not upper-semicontinuous in the Lagrangian.