For the purpose of on-screen show and/or print.
Please clarify your specific problem or add additional details to highlight exactly what you need. As it's currently written, it’s hard to tell exactly what you're asking. See the How to Ask page for help clarifying this question. If this question can be reworded to fit the rules in the help center, please edit the question.
The answer strongly depends on what your data looks like and what features you want to be easily visible as well as on your medium. I would avoud using the same colour map for all media.
If you have positive and negative values and points with high absolute value as well as their sign are important, you want to use a colour map that has clearly distinguishable colours for positive and negative values and something neutral for zero. For instance your colour map would go from red to white to blue. However, for other situations, such a colour map is a bad choice.
For printing, you usually do not want too much black. If your colour map should also work for black-and-white printing, hue can only be aiding information and you probably want to use some colour scheme like HOT.
If your diagram is changing over time and for screen use, you might want to use a scheme where all colours have approximately the same brightness (such as Solarized) to avoid annoying your audience by flashing them. Note how such a colour scheme would be a horrible choice for black-and-white printing.