 If \(\bK\) is an \(\iEq\)-algebraic semantics for a finitary logic \(\bL\) and \(\iEq\) is finite, then the quasivariety generated by \(\bK\) is also an \(\iEq\)-algebraic semantics. The same does not hold in general if we consider the generated variety. For this reason, it is customary and useful when developing the theory of the algebraization of finitary logics to consider quasivarieties of algebras as algebraic semantics instead of arbitrary subclasses that generate them. Conversely, if a quasivariety is an \(\iEq\)-algebraic semantics for a finitary \(\bL\) and \(\iEq\) is finite, then so is any subclass of the quasivariety that generates it.