Two novel methods of Modulated-Temperature Thermal Analysis are described. These are loosely-termed "Constrained Rate DSC" and "Modulated-Temperature TMA". In the first, the sample response is used to control the temperature program of a DSC in a method analogous to Controlled Rate Thermal Analysis. This results in a temperature modulation which is variable in period, amplitude and underlying heating rate depending on the sample behaviour and user defined Limits. Deconvolution of the signals into thermally "reversing" and "non-reversing" heat hows is still possible. Secondly, the application of Modulated-Temperature Programming to Thermomechanical Analysis is discussed.