
Basil cordial is a sweetened basil infusion with acid in it — citric or lemon — so it brings sourness along with the sugar.
Bruise fresh basil into barely warm sugar syrup, strain, and finish it with citric acid or a squeeze of lemon — a handful of leaves to a cup, ten minutes. The acid is what makes it a cordial rather than a syrup, and a basil syrup stands in for the flavor while leaving the sourness to the drink.
Basil syrup
Sugar and basil without the acid. It sweetens and does not sharpen, so a drink built on the cordial comes out flat and wants its lemon back.
Basil liqueur
Alcoholic and much drier, so it adds proof where the cordial added sweetness; a barspoon of syrup and a squeeze of lemon put the balance back.
Basil browns as it oxidizes, so the color goes before the flavor does. A syrup gone olive still tastes of basil and looks wrong in a clear glass. Refrigerated, it lasts about a week.