A magnetocaloric thermal appliance comprising three coaxial magnetic rotors (R1, R2, R3) rotatable about a rotational axis (R), provided with diametrally opposed magnetic poles (P), aligned with each other, and delimiting air gaps therebetween located in two parallel air gap planes (PE1, PE2). Two holders (S1, S2) for magnetocaloric elements (M11, M12, M15, M17, M18) are located in the air gap planes. Magnetocaloric elements (M11, M12, M15, M17, M18) are carried by the two holders (S1, S2) and in fluidic communication with each other by at least one heat transfer fluid that circulates in determined fluidic loops (B1). Each fluidic loop (B1) is arranged for connecting, two by two, magnetocaloric elements (M11, M12; M17, M18) that respectively belong to the two holders (S1, S2). The magnetocaloric elements connected two by two are in a same magnetic state and positioned in front of each other.