  A number of recent articles have reported the existence of topologically
non-trivial states and associated end states in one-dimensional incommensurate
lattice models that would usually only be expected in higher dimensions. Using
an explicit construction, we here argue that the end states have precisely the
same origin as their counterparts in commensurate models and that
incommensurability does not in fact provide a meaningful connection to the
topological classification of systems in higher dimensions. In particular, we
show that it is possible to smoothly interpolate between states with
commensurate and incommensurate modulation parameters without closing the band
gap and without states crossing the band gap.
