Temperature control unit, especially a vehicle temperature control unit, comprising: - at least one temperature control body , which is elongated in a longitudinal direction of the temperature control body (L), which is made of magnetocaloric material and through which or/and around which heat transfer medium can flow, - a magnetic field arrangement with magnetic field heating areas which are arranged following one another in a shifting direction (V) and cooling areas between the magnetic field heating areas , wherein a plurality of heat transfer medium flow zones (Z i ) following one another in the longitudinal direction of the temperature control body (L) are provided with the temperature control body , characterized in that at least two heat transfer medium flow zones (Z i ) adjacent to one another in the longitudinal direction of the temperature control body (L) provide a heat transfer medium circulation sector (I, II, III, IV), wherein at least one heat transfer medium flow zone (Z i ) provides a heat transfer medium circulation sector (I, II, III) together with a heat transfer medium flow zone (Z i ) adjacent to this heat transfer medium flow zone (Z i ) on a first side in the longitudinal direction of the temperature control body (L) during a first phase of operation and provides a heat transfer medium circulation sector (I, II, III, IV) together with a heat transfer medium flow zone (Z i ) adjacent to this heat transfer medium flow zone (Z i ) on a second side in the longitudinal direction of the temperature control body (L) during a second phase of operation, and in that heat introduction fluid can flow through or around a heat transfer medium flow zone (Z 1 ) arranged in one of two longitudinal end areas of the temperature control body for feeding heat into said heat transfer medium flow zone (Z 1 ), and in that heat discharge fluid can flow through or around a heat transfer medium flow zone (Z 8 ) arranged in the other of the two longitudinal end areas of the temperature control body for discharging heat from said heat transfer medium flow zone (Z 8 ), wherein in one type of phases of operation out of a first phase of operation and a second phase of operation, heat discharge fluid can flow through the at least one heat transfer medium flow zone (Z 8 ) through which heat discharge fluid can flow and heat input fluid can flow through the at least one heat transfer medium flow zone (Z 1 ) through which heat input fluid can flow, and that in the other type of phases of operation out of a first phase of operation and a second phase of operation, the heat transfer medium flow zone (Z 8 ) through which heat discharge fluid can flow together with a heat transfer medium flow zone (Z 7 ) adjacent to this [zone] in the longitudinal direction of the temperature control body (L) provides a heat transfer medium circulation sector (IV) and the heat transfer medium flow zone (Z 1 ) through which heat input fluid can flow together with a heat transfer medium flow zone (Z 2 ) adjacent to this [zone] in the longitudinal direction of the temperature control body (L) provides a heat transfer medium circulation sector (I). - at least one temperature control body , which is elongated in a longitudinal direction of the temperature control body (L), which is made of magnetocaloric material and through which or/and around which heat transfer medium can flow, - a magnetic field arrangement with magnetic field heating areas which are arranged following one another in a shifting direction (V) and cooling areas between the magnetic field heating areas , <EOS>