Here is an interesting diagram, called the Plutchik Wheel - or the wheel of emotions.

Robert Plutchik was a psychologist who was attempting to measure and map emotions, this diagram is one such attempt.

Although I've only just come across it, I have already found it useful in ensuring a wide variety of emotions are spread out across a TV series. So, perhaps, not something to use as a formula, but a handy tool to have to help prompt ideas.
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