The SAFT1 equation of state is extended using Wertheim's theory to model associating fluids and tested on pure alkanols and mixtures containing alkanols. For small 1-alkanols, SAFT1 is found to represent the vapor pressure and liquid density. The SAFT1 parameters are shown to be well-behaved and hence possible to estimate for high-molecular-weight 1-alkanols and hydroxy polymers on the basis of their molecular weight alone.