Jarlsberg cheese, Leerdammer, and Maasdam cheese are all good substitutes for Emmenthaler.

Emmental, Emmentaler, Emmenthal, or Emmenthaler are cheeses from Switzerland.

Switzerland

If it is Italian-style, then Parmesan

If it is French or Swiss-style, then Gruyere or Emmenthaler (i.e. Swiss cheese)

If it if Greek-style, then Feta or kasseri

If it is Balkan-style, then kashkaval

If it is American-style, then white cheddar

Switzerland is a country that is considered NEUTRAL towards all the other countries, especially the ones that surround Switzerland, such as Germany, France, Ellsace, Italy, Poland, Austria, Lichtenstein, etc. Switzerland makes the best chocolate in the world, or the origin for the OMEGA watches, and makes delicious cheese such as Emmenthaler, Gruyere, Tillsit, Mountain cheese (Bergkaese), etc. It's a beautiful country!