The following is my understanding of the intensity of rain. Am I right? They go from the lowest intensity to the highest.
You have ordered the words you chose in the proper order. But there are others. All are referred to as rain.
On the light end you have a sprinkle, then it could be a drizzle. Anything higher is usually called a shower, which can vary from light to heavy. Heavy showers can be called a "downpour" while a shower which features lightning and thunder is called a "thundershower."
On the catastrophic end, it can be called a "deluge" for the heavy flooding and destruction caused.
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