  We show striped pattern formation in the large volume limit for a class of
generalized antiferromagnetic local/nonlocal interaction functionals in general
dimension previously considered Goldman-Runa and Daneri-Runa and in
Giuliani-Lieb-Lebowitz and Giuliani-Seiringer in the discrete setting. In such
a model the relative strength between the short range attractive term favouring
pure phases and the long range repulsive term favouring oscillations is
modulated by a parameter $\tau$. For $\tau<0$ minimizers are trivial uniform
states. It is conjectured that $\forall\,d\geq2$ there exists
$0<\bar{\tau}\ll1$ such that for all $0<\tau\leq\bar{\tau}$ and for all $L>0$
minimizers are striped/lamellar patterns. In Daneri-Runa arXiv:1702.07334 the
authors prove the above for $L=2kh^*_\tau$, where $k\in\N$ and $h^*_\tau$ is
the optimal period of stripes for a given $0<\tau\leq\bar{\tau}$. The purpose
of this paper is to show the validity of the conjecture for generic $L$.
