Even-like particles have widely been analyzed as inducing scalar andadditive presuppositions (cf. Horn 1969; Karttunen & Peters 1979; Rooth 1992; Gast& van der Auwera 2011). However, the additivity of even has been controversialsince at least Rullmann 1997 and increasingly called into question (see Greenberg& Umbach 2021 for references); Greenberg specifically argues that scalar even-likeparticles can vary in additivity. This claim is surprising in light of the typologicalstudy in Gast & van der Auwera 2011, which subsumes even and similar expressionsunder a larger class of additive particles. Against this background, we present ananalysis of Italian addirittura, which with perfino has been described as scalaradditive(Visconti 2005) – but only optionally so – and is chosen preferentially overperfino precisely in those contexts that Greenberg takes to challenge the additivity ofeven. We argue, drawing on observations in Atayan 2017, that addirittura contrastswith perfino in deriving its scalar alternatives from rhetorical structure rather thanfocus structure. Once this is recognized we can view addirittura as additive, afterall, in a rhetorical sense we describe below.