Hey, so here's my first rough tab of The National's Forever After Days (Demo) off the 
Virginia EP. Just comment any corrections and I'll make them.

EADGBe Tuning

Chords:
Gb6: 2 x 1 3 2 x
Ebm: x 6 8 8 7 6
Bbm (I): 6 8 8 6 6 6
Bbm (II): x x x 8 10 11 9
Ab: 4 6 6 5 4 4

Verse:
Gb6 | Ebm | Bbm (I)
Just repeat over and over for chorus

Chorus:
Bbm (II) | Ebm | Bbm (I)

This is for the "Forever After Days" melody of the chorus, at the end of the chorus, for 
the "Hold my own above the ground" melody, it goes:

Ab | Bbm (I) | Ab | Bbm (I) (hold)

It just repeats like that over and over again. There is a brief solo after the second 
chorus, that goes like this:
                     Gb6 (2x4342@1)                  Ebm (xx4342@1)                 Bbm(I)
e-------------6----------------7-------------------------------|
B---------------(4)---------------6-------6--------------------|
G-------------------6---------8------------6-------------------|    x2
D-----------4-------------------------8------------------------|
A--------------------------------------------------------------|
E--------------------------------------------------------------|

I'm pretty sure that's the whole song.

Enjoy!