Each is directly related to a second order differential of a thermodynamic potential.
Examples for a simple 1-component system are: where P is pressure, V is volume, T is temperature, S is entropy, and N is the number of particles.
For a single component system, the "standard" three parameters are the isothermal compressibility
For example, the following equations are true: The three "standard" properties are in fact the three possible second derivatives of the Gibbs free energy with respect to temperature and pressure.
In fact, one property function can be given as an expression of the two others, up to a reference state value.