Wait, 2nd fret on the g and b strings would be a Dmaj9.
2nd fret on the a and d strings would be an Emin.
sorry dave....i'm not seeing it. 2nd fret on the g and b strings would be an A and C# respectively....so if a is the root is the root and major 3rd, so an A diad. if D is the root it's the 5th and M7th, so it would be a Dmaj7. I'll grant the maj9 if the e on the 1st string is played, but he only mentioned those 2 strings. of course if you take it further with F# as the root it would be the min3rd and 5th of and F#min chord...or if F is the root it could be the maj3rd and aug5th of an Faug chord...or...or....lol. (we need to know the root, lol)