In this paper experiments with temperature-modulated differential scanning
calorimetry (TMDSC) are described in which the modulation consists of multi
ple, superimposed frequencies. The harmonics of the Fourier series of the m
easured heat-how rate and temperature are deconvoluted to extract data pert
aining to the different frequencies. In order to derive 1st, 3rd, 5th, and
7th harmonics of similar amplitudes, a complex, but simple-to-program sawto
oth is generated. In TMDSC with sawtooth modulation with a period of less t
han about 150 s, a correction by extrapolation to zero frequency is necessa
ry. It is shown that the extrapolation of the heat capacity calculated from
the amplitudes of the first and higher harmonics of the Fourier-transforms
of heat-flow rate and the sample temperature permits this evaluation of th
e hear capacity from a single experiment. The method is tested on a power-c
ompensation type TMDSC with temperature control close to the calorimeter he
ater. The time constant for the response of the calorimeters is less than 3
0 s (tau < 5 s rad(-1)). Instabilities of the calorimeter response are remo
ved by smoothing. Published by Elsevier Science B.V.