Harned cell pH T measurements were performed on 2-amino-2-hydroxymethyl-1,3-propanediol (TRIS) buffered artificial seawater solutions in the salinity range 5-20, at three equimolal buffer concentrations (0.01, 0.025, 0.04 mol·kg-H 2 O −1 ), and in the temperature range 278.15-318.15 K. Measurement uncertainties were assigned to the pH T values of the buffer solutions and ranged from 0.002 to 0.004 over the investigated salinity and temperature ranges. The pH T values were combined with previous results from literature covering salinities from 20 to 40. A model function expressing pH T as a function of salinity, temperature and TRIS/TRIS·H + molality was fitted to the combined data set. The results can be used to reliably calibrate pH instruments traceable to primary standards and over the salinity range 5-40, in particular, covering the low salinity range of brackish water for the first time. At salinities 5-20 and 35, the measured dependence of pH T on the TRIS/TRIS·H + molality enables extrapolation of quantities calibrated against the pH T values, e.g., the dissociation constants of pH indicator dyes, to be extrapolated to zero TRIS molality. Extrapolated quantities then refer to pure synthetic seawater conditions and define a true hydrogen ion concentration scale in seawater media.