A chromatographic process for the enrichment of at least one compound of interest from a mixture is proposed, using chromatographic columns, wherein said process involves a sequence of the following steps: (i) a cyclic accumulation phase, in which the chromatographic columns are alternatingly operated in an interconnected phase, followed by a disconnected phase, wherein subsequently columns exchange places and wherein the phases are carried out sequentially; (ii) a cyclic separation phase, in which the chromatographic columns are alternatingly operated in an interconnected phase, followed by a disconnected phase, wherein after these phases columns exchange places to undergo the next interconnected and disconnected phases; and (iii) an elution phase, in which from the column, which at the end of phase (i) or at the end of phase (ii) contains the compound of interest, is extracted via the outlet.