PLEASE NOTE: This is the acoustic version (http://www.youtube.com/watch?v=GOeiWVg_HTs), 
and although you could probably use these chords for the original it isn't the same.


Chords (in drop C):

(I don't know what you'd call these chords, so I'm going to name them after the chord 
the bottom four strings make)

   Gm   Bb    F   Eb
D---0----0----0----0---|
A---0----0----0----0---|
F---5----9----4----2---|
C---7---10----5----3---|
G---7---10----5----3---|
C---7---10----5----3---|


Verse 1:
Gm
I lost my heart, my home is the ocean.

The waves underneath will soon be my home.
       F
I will fall asleep (fall asleep).

I'll close my eyes and dream of days when I wasn't all alone.

Chorus:
Gm
All that I know is gone
(take what is left of me now)
Bb
All that I know is gone
(take what is left of me)
     F                                              Eb
Fall deeper and deeper, the sirens are singing your songs. [x2]

Verse2:
Gm
I'll miss my breath, there's no more left.

I'll miss the sound of the wind at my back.

The depths have a number, they call you by name.
F
Fall asleep, Davy Jones calls you

So fall asleep, fall asleep and dream.

Chorus:
Gm
All that I know is gone
(Take what is left of me now)
Bb
All that I know is gone
(Take what is left of me)
     F                                              Eb
Fall deeper and deeper, the sirens are singing your songs. [x3]