Pitch is to Frequency as Heat is to Temperature

pitch : frequency :: heat : temperature ?

Yes, that's correct!

The relationship between pitch and frequency is that pitch is a subjective perception of the frequency of sound waves.

Similarly, the relationship between heat and temperature is that heat is a subjective perception of the temperature of an object or environment. Temperature is a physical quantity that measures the average kinetic energy of the molecules in a substance, while heat refers to the transfer of thermal energy from one object to another due to a temperature difference.