I recently found a song transcribed where the user plays all the chords on with a capo on the second fret this would move up the open string chords to the following:
He then recommends that the song be played with the shapes of Em, C, and G on with the capo on the second fret but that they can alternatively be played without the capo as F#m, A, and D.
So with my understanding is that with the capo on the second fret with the shape of Em you are still playing the notes for an F#m where on strings EADGBe:
E=F# A=C# D=F# G=A B=C# e=F#
This, however, doesn't hold true in the case of the shape of C with the capo on the second fret you get the notes for a D chord, not an A chord.
E=F# A=D D=F# G=A B=D e=F#
There seems to be some gap in my understanding of music theory, can someone help give me an explanation?