Entropy and Heat Capacity Trend in water

It is my understanding that entropy and heat capacity essentially measure the same thing. Since entropy is the ratio of heat (translational, rotational, vibrational movement) to temperature (translational movement), a substance with higher entropy (heat/temperature ratio) would require more heat to raise a certain temperature, which is the definition of heat capacity. Why then, is the heat capacity of liquid water around 4.2 J/g-K while for water vapor, it's only 2.0 J/g-K when vapor has more entropy?


