Modern Spanish/Mediterranean

As I continue to look for homes online in Florida, I am warming up to the fact that we might end up with a Mediterranean style home. It is a popular style down there and I am trying to stay open to all possibilities. I decided to search for interiors of this style home that appeal to me. 

Stofft Architects
Stofft Architects
Jessica Helgerson
Stephanie Wiley
DD Ford
I could definitely live in these rooms. Some of my searches were under 'Spanish Style' and some were under 'Mediterranean Style'. Does anyone know what the difference is between Spanish and Mediterranean? I have probably been calling it the wrong name.