Version 1.0
Here are pretty accurate "Palace of the brine" chords. Every single tab I found on the internet are totally wrong. So... I got the chords by looking at the Brixton 1991 (rare) performance of this song, and I'm kind of pleased to say that those are mostly accurate. 
(even though I could easily have missed some details)
Video of me playing the song: http://www.youtube.com/watch?v=GHZi4tou1FY <-- much easier to look at this than reading the tab.
Tuning: DROP D
Note 1: The song is tabbed here without capo (it was performed that way in 1991). If you want to sound like the Trompe Le Monde version, use a capo on 1st fret and transcribe all chords 1 step higher on the fretboard.
Note 2: This is a very easy song to play, but it's a nightmare for me to write a tab. I could be totally wrong with chord names. I used some online chord search engine to get the names... So, please contribute to fix any error on that level.
Verse lick (L1)
e---x-x-x-x-x-x
B---x-x-x-x-x-x
G---x-x-x-x-x-x
D---x-x-x-x-x-x
A---0-2-5-5-5-5
E---0-x-0-0-0-0
Chorus lick (L2)
A---17-17-19-21-21-21-19-17-19-19-19
E---17-17-17-17-17-17-17-17-19-19-19
E5/G - 57xxxx
D - xx0232 - always alternate with xx0233
D5 - 12|12|xxxx - alternate with 12|15|xxxx before choruses
B/A - 7xx9xx
G5 - 55xxxx
Verse
L1 E5/G D
In a place they say is dead
L1 E5/G D
in the lake that's like an ocean
L1 E5/G D
I count about a billion heads
D5
all the time... there's a motion
Chorus
L2
B/A G5
Palace of the brine
B/1 L1
Palace of the brine
Bridge (or is it a verse ?)
E5/G D5
I saw the cloning
L1 E5/G D5
of the famous family
L1 E5/G D5
I heard the droning in the shrine of the sea-monkey
Chorus
L2
Wooo !
B/A G5
Palace of the brine
B/A L1
Palace of the brine
E5/G D5
beneath reflections in the fountain
L1 E5/G D5
the starry sky and utah mountains
L1 E5/G D
they are swimming happily
/D5 /D5 /D5 /D5 (slide to D5 a few times)
can't you see
Chorus
L2
a life that's so sublime
B/A G5
Palace of the brine
