  We introduce a general notion of enrichment for homotopy-coherent algebraic
structures described by Segal conditions, using the framework of "algebraic
patterns" developed in our previous work. This recovers several known examples
of enriched structures, including enriched $\infty$-categories, enriched
$\infty$-operads, and enriched $\infty$-properads. As new examples we discuss
enriched modular $\infty$-operads, enriched $n$-fold $\infty$-categories, and a
non-iterative definition of enriched $(\infty,n)$-categories.
