The invention relates to a method for calcination of a material in which said material is heated by contact with a heat source essentially generated by means of a flame produced with at least one flow of fuel and primary air and a flow of secondary air, the flame comprising a first combustion zone with a temperature below 1500° C. and a second combustion zone with a temperature above 1500° C., where at least one flow of at least one inert gas is injected into the flame at the beginning of the second combustion zone and/or at least one flow of oxygen or a gas enriched in oxygen is injected into the second combustion zone.