A milking device for milking a dairy animal comprises a teat cup with a cup wall and a teat liner and a pulsation space situated in between, to which pulsation space a pulsation device is connected which is configured to apply a pressure that varies in pulsations to the pulsation space in order to open and close the teat liner, and which pulsation device comprises a supply line which is controllable by a first operable valve, in particular closable, for supplying a first pressure, a supply line which is controllable by a second operable valve, in particular closable, for supplying a second pressure, which is a lower pressure than the first pressure, and a control unit which is configured to generate control signals for operating the first valve and the second valve, wherein the first valve, and preferably also the second valve, is a controllable valve having a passage which is adjustable by means of the control signals, wherein the passage of the first valve, and preferably of the second valve, respectively,
