Calixta/Calista

Are [name]Calista[/name] and [name]Calixta[/name] pronounced the same way? Is it [name]Ca[/name]- lee sta or [name]Ca[/name] lis ta? I like it better as [name]Ca[/name] lee sta, but have only heard the other way with [name]Calista[/name] Flockhart.