The equivalent of eggshell paint

Hello. Renovating an old house. Want to use paint on the interior wood (doors, window frames, cornices etc) that is between matt and shiny which would in the UK be called "eggshell".

What is the equivalent over here please? I'm assuming it is "satin"? Is this correct? Just checking because I definitely don't want high gloss.

Thanks for any tips/advice.