  We identify trigonometric parity as the key ingredient behind models of
neutral naturalness for the Higgs potential. We show that any symmetric coset
space readily includes such a trigonometric parity, which is simply a
combination of a $\pi /2$ rotation along a broken direction and a Higgs parity
transformation. We explain how to extend the top sector such that this $Z_2$
remains intact while the rest of the shift symmetry is explicitly broken,
resulting in the cancelation of the quadratic divergences in the Higgs
potential. Assuming additional structure (for example partial compositeness
with maximal symmetry) can render the Higgs potential completely finite and
with minimal tuning. We apply our principles to construct the minimal model
realizing trigonometric parity based on $SO(6)/SO(5) \simeq SU(4)/Sp(4)$,
yielding the simplest model of neutral naturalness. An added advantage of this
model is that a simple fermionic UV completion can be easily identified. We
analyze the tuning of the Higgs potential and find that the top partners can be
quite heavy while vector mesons need to be relatively light to obtain minimal
tuning. Finally we briefly comment on some novel phenomenology, including a
possible six top final state at the LHC appearing in this model.
