Temporal correlations are essentially not identical to spatial ones in the quantum regime, although they are not mutually exclusive in virtue of no correlation. Here, we give a spatiotemporal classification of a hitherto-unstudied general quantum correlations in spacetime. Based on this, we answer a fundamental question as to when the observed bipartite correlation from local measurements is (a)temporal or (a)spatial. To understand (a)temporality of correlations, we introduce atemporality--- an efficiently computable real-valued property that is zero if and only if the correlation is temporal. Atemporality is a distinctly quantum phenomenon, which is asymmetric under time reversal; this includes cases of quantum correlations one way temporal but not the other. (* 줌 정보 별도 공지)