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The Cayenne pepper. is a bit milder, rating at 30,000 to 50,000 Scoville units. They're named after the French Guiana city of Cayenne. I'm sure you're familiar with the Cayenne pepper; it's ground and sold as a pretty common spice.
The cayenne chile is a bright red chile that ranges from 2-5 inches long and about 1/2 inch in diameter. Cayenne chiles are generally sold dried and used in soups and sauces. The majority of cayenne chiles are used to make cayenne pepper.