Standard Tuning (believe it or not, it doesn't require a capo!)
 

Chords used in this song are as follows (chord names are inexact- (0) indicates optionally played string)
Either Bb in this tab sounds good.  I think that the first one is the one David plays, though I'm just guessing.

 Bb or Bb   Am  Am7   C    F7   F    G   Gm   Bb2   Dm  Dm2
-0-----0----0----0----0----0----0----3----3---(3)---1----1----
-6-----2----1----1----1----6----0----3----3----3----3----3----
-3-----2----2----0----0----0----2----0----3----3----2----2----
-0----(0)---2----2----2----7----3----0----5----3----0----0----
-x-----1----0----0----3----8----3----2----5----5----0----0----
-6--------------------3----8----1----3----3----6---------1----

(riff A) little riff played before the chorus
Dm
-1---1------1----------
-2---3------3----------
-3---------------------
-0-3---2-0-2--2-h3-2-0-
-0-----0---------------
-----------------------
 

The shift from Am7 to C is very quick.  Am7 is only played for one strum (to let the g string ring open)

Intro (played twice)
Bb                       Am      Am7-C        F7
Bb                       Am      Am7-C        F7
Without a word, you set your sights into the sun
Bb                       Am        Am7-C      F7
when all the world, you put to rights still is so wrong
Bb                Am
Pin your heart out on your sleeve
Dm          Dm2            G
spouting all that make believe
Gm                      Am               Dm (riff A)
from your lips it seems they might come true

(parts are doubled from here on with a 12-string guitar)
Gm                Bb2               F
falling down the mountainside with you
 

Bb                       Am      Am7-C                      F7
The clothes you wore, the people stared you looked so strange
Bb                       Am      Am7-C        F7
to see you move, St. Vitus dance was in your veins
Bb                Am
Never once afraid to know,
Dm          Dm2            G
what it feels like when you go
Gm                  Am              Dm (riff A)
out beyond where logic keeps the view

Gm                Bb2               F
falling down the mountainside with you.......falling down

interlude (Bb  Am  Bb  Am  Bb  Am  F7 and repeat)

Bb                       Am      Am7-C       F7
If you were here first thing I'd do is knock you down
Bb                       Am      Am7-C       F7
you left me cold, to meet your ghost all over town
Bb                Am
So grind the stone and spin the wheel
Dm          Dm2            G
lock the doors, on what you feel
Gm                    Am          Dm (riff A)
looking back, it's like i always knew

Gm                      Bb2                  F
I'd be falling down the mountainside with you
Gm                      Bb2          F
falling down the mountainside with you
Gm                      Bb2          F
falling down the mountainside with you
Gm               Am             Dm (riff A) Dm
falling down the mountainside with you