With increasing demand of thermophysical property data at high temperatures in the field e.g. of space aeronautics and manufacturing new measurement methods need to be established to guarantee reliable and SI-traceable measurements up to 3000 K. In the framework of the European Metrology Programme for Innovation and Research (EMPIR) within the joint research project Hi-Trace the dynamic emissivity measurement at PTB has been advanced to determine the specific heat up to around 2000 K. This paper outlines the necessary technical advancements such as an induction heating system, the measurement principle which utilize graphite coated samples and uncertainty evaluation using an adaptive Monte Carlo method. The specific heat of graphite and tungsten was measured in a temperature range from 1000 K to 2000 K with relative expanded uncertainties ($$k=2$$
k
=
2
) ranging from 8 % to 12 %.