  Interference phenomena are often claimed to resist classical explanation.
However, such claims are undermined by the fact that the specific aspects of
the phenomenology upon which they are based can in fact be reproduced in a
noncontextual ontological model [Catani et al., Quantum 7, 1119 (2023)]. This
raises the question of what other aspects of the phenomenology of interference
do in fact resist classical explanation. We answer this question by
demonstrating that the most basic quantum wave-particle duality relation, which
expresses the precise tradeoff between path distinguishability and fringe
visibility, cannot be reproduced in any noncontextual model. We do this by
showing that it is a specific type of uncertainty relation and then leveraging
a recent result establishing that noncontextuality restricts the functional
form of this uncertainty relation [Catani et al., Phys. Rev. Lett. 129, 240401
(2022)]. Finally, we discuss what sorts of interferometric experiment can
demonstrate contextuality via the wave-particle duality relation.
