Beginning
P1

D----------------------------
A-5-----5-----5---------3-4--       times 2
D---0-0--0-0---0-3-5-6-0-----

P2

E-9------------------------------
B-8FB----------------------------       FB = full bend
G--------------------------------
D--------------------------------
A--------5----5-----------3-4-
D---------0-0---0-3-5-6-0----

This is what he does live but he does this, i think, in the recorded version
G-13-13-13-                -2/3--2/3--2/3--2/3-
D----------  Times 3 then  -2/3--2/3--2/3--2/3-This is a harmonic between
A-11-11-11-                -2/3--2/3--2/3--2/3-the 2nd +3rd fret
D-0---0---0--              -23--2/3--2/3--2/3-
Verse

G---------10---------------10-------------------10---------------12----
D-----12-----12--------11-----11-------------10----10----------9----9--
A-12-----------------12------------------12----------------11----------
 Dm                       Dm2                Dm3             Dm4      

PIck out as shown  
Dm         Dm2                  Dm3            Dm4     Dm         Dm2
Shame  on  you  for  thinking  you're  an  exception,  we're  all  to  blame 
Dm3             Dm4
crashing  down  to  earth 
 Dm        Dm2                  Dm3              Dm4
Wasting  embers  without  you,  fading  like  a  deadstar
Dm             Dm3
It's  coming  your  way

D-4---------------------5-----------------2/3--2/3--2/3--2/3-
A-4---------------------5-----------------2/3--2/3--2/3--2/3-
D-4---------------------5-----------------2/3--2/3--2/3--2/3-
    yeah it's coming your way
D-8-------------------------3------7----------------------8-------
A-8-------------------------3------7----------------------8-------
D-8-------------------------3------7----------------------8-------
    you used to mean everything to me now you're tired of hiding

D-3--------7--------------------------[-------------------------------]
A-3--------7--------------------------[--5------5------5---------3-4--]repeat twice
D-3--------7--------------------------[----0-0---0-0----0-3-5-6-0-----]
   tired of fighting, fighting  yourself

Interlude

D-0-12-0-12-0-12-0-12-0-13-0-13-0-13-0-13-0-14-0-14-0-14-0-14-0-15-0-15-0-15

This is played on actual D not E tuned to D. don't stick to this, hammer on as fast as possible and bend every so often like matt does except he has a whammy pedal and slams down on that every fourth note. After the final note slide down to 5th on A and repeat P1 + P2 til the end. Have fun!
For more muse, Redhots, Oasis, Nirvana or any indie bands like travis or coldplay or ocean colur scene or Verve E-mail me at Anthony.fox4@ntlworld.com.