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This song is actually in Drop D tuning, but these chords are for standard tuning. In the instrumental sections "|" marks the start of a bar. In the verses the placement of the chords are just approximate. Listen to the song to get the proper rhythm for the chord changes.
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|Bm |Bm |Bm |Bm |Bbm |Bbm |Dmaj7 |D6 |Gmaj7 |Dmaj7/F# D/F# |Gmaj7 |Dmaj7/F# D/F# |Bm |Bm |Bm |Bm |Bbm |Bbm |Dmaj7 |D6 |Gmaj7 |Dmaj7/F# D/F# |Gmaj7 |Dmaj7/F# D/F# Bm Just as you take my hand Just as you write my number down Just as the drinks arrive Just as they play your favourite song G F#m G As your bad day disappears F#m Em F#m Em D* A No longer wound up like a spring A G Before you've had too much E5 F#5 E5 D* Come back in focus again Bm The walls are bending shape You've got a cheshire cat grin All blurring into one This place is on a mission G F#m G Before the night owl F#m Em F#m Em D* Before the animal noises A G Closed circuit cameras E5 F#5 E5 D* Before you comatose |B5 |B5 |B5 |B5 |B5 |B5 |B5 |B5 |D/B |D/B |D/B |D/B |D/B |D/B |D/B |D/B Bm Before you run away from me Before you're lost between the notes The beat goes round and round The beat goes round and round G F#m G I never really got there F#m Em F#m Em D* A I just pretended that I had A G Words are blunt instruments E5 F#5 E5 D* Words are sawn off shotguns Bm Come on and let it out Come on and let it out Come on and let it out Come on and let it out G F#m G Before you run away from me F#m Em F#m Em D* A Before your lost between the notes A G Just as you take the mic E5 F#5 E5 D* Just as you dance, dance, dance |Bm |Bm |Bm |Bm |Bbm |Bbm |Dmaj7 |D6 |Gmaj7 |Dmaj7/F# D/F# |Gmaj7 |Dmaj7/F# D/F# Bm A Jigsaw falling into place So there is nothing to explain Bbm You eye each other as you pass Dmaj7 D6 She looks back and you look back Gmaj7 Dmaj7/F# D/F# Not just once Gmaj7 Dmaj7/F# D/F# and not just twice Bm Wish away your nightmare Wish away the nightmare Bbm You got the light you can feel it on your back Dmaj7 D6 (A light,) you can feel it on your back Gmaj7 Dmaj7/F# D/F# Your jigsaw falling Gmaj7 Dmaj7/F# D/F# into place |Bm |Bm |Bm |Bm |Bm |Bm |Bm |Bm |Bm
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The D* chord: B|-----| B|-----| G|-----| D|--0--| A|--0--| E|-----|
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Source: http://www.azchords.com/r/radiohead-tabs-3178/jigsawfallingintoplace-tabs-506810.html