My favourite song on Innerspeaker! 
This part sounds best clean with some wah-wah effects :D

5:22 onwards

E|--------------------------------------------------------------------------------|
B|--------------------------------------------------------------------------------|
G|o--------------------------10-12b14r12-10---------------------------------------|
D|o-12/10-8h10-------8-10/12----------------12b13r12-8-8h10-10/12-12-10-8-7-------|
A|-------------8-8h10-------------------------------------------------------10-8--|
E|--------------------------------------------------------------------------------|

E|----------------------------------------------------------------------------------------------|
B|----------------------------------------------------------------------------------------------|
G|----------------------------------10-12b14r12-10---------------------------------------------o|
D|------8-12/10-8h10--------8-10/12---------------12b13r12-8-8h10-10/12-12-10-8-7-----------8--o|
A|-8-10--------------8-8h10-------------------------------------------------------10-8-8-10-----|
E|----------------------------------------------------------------------------------------------|

Repeat as necessary with a few slight variations each time.