Measurements of isobaric heat capacities in the liquid phase were carried on the following 1-alkanols: 1-hexanol, 1-heptanol, 1-octanol, and 1-decanol in the temperature range from 325 to 570 K and at pressures of 2, 10 and 30 MPa using a commercial heat conduction SETARAM C-80 calorimeter. Additional measurements, which provided saturation heat capacities, were carried out in a slightly different experimental arrangement for ethanol, 1-propanol, 1-butanol, 1-hexanol, 1-heptanol, 1-octanol, and 1-decanol at a pressure considered within the expected pressure variation of heat capacity close to the saturation vapour pressure.