In the past couple of years, though, Kyra has been declining in favor. Keira is currently the most popular and similar variation of Kyra, but Kyra does well up against names like Kira and Kiara. The thing about Kyra is that no one seems quite sure how to pronounce it.One of the most well-known Kyras is Kyra Sedgwick, a popular actress from the TV drama-crime series âThe Closerâ.She pronounces her name KEER-a, but others use KIE-ra or KEE-ra.here are two possible etymologies for the female name Kyra. Most typically, itâs considered a variant of Kira which itself is a variant of the Irish feminine name Ciara, from the Irish Gaelic âCiaranâ ciarÃ¡n âmeaning little darkâ. one