6 - 5th fret - A
5 - X
4 - 5th fret - G
3 - 6th fret - C#
2 - 7th fret - F#
1 - X
 
I am on the trial of ChordPulse but I don't know how to make it play the above notes :-)
 
Thanks

that is x minor demolished,
my favorite chord!

That's an Adom13. 

Beats the heck outa me, but ChordPulse is cool little tool

A7/6 with the fifth (E) omitted.
 
Unless the bass player plays an F#. 

A7 add 13
 
Rocky

In jazz guitar terms, that's just written as a plain old A13 or Adom13. Players will typically leave out the 9th and the 11th. While technically it could be described as an A7 add 13, I've never heard anyone call it that. I mean strictly speaking it's not fully an A7 because it doesn't have the 5th. But it's very common to leave out one or more of the tones when playing dominant 9ths, 11ths or 13ths. 

I was way off. I thought it was F#minor with a mistake.
 
By mistake, I mean "jazz". That's what you call it if you make the same mistake twice in a row.

Replace the root with the 5th and you have a rather nifty Dm6/9....just sayin' 

It's all Am in the CH.
 
Unlike jazz, you get to make the same mistake over & over while expecting different results........(AKA insanity).