Here's a cool, oriental-sounding chord based off an F major.



E:|--0--
B:|--0--
G:|--2--
D:|--3--
A:|--3--
E:|--1--



As an added bonus, it's way easier to play than a regular F major. Finger an F major, and lift up your index finger so that's it's just holding down the F note on the low E string.