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Chord diagram for D7
Chord diagram for D13
Chord diagram for Gm7
Chord diagram for D
Chord diagram for Cm
Chord diagram for E7
Chord diagram for G7
Chord diagram for A7
Chord diagram for B
      Pretty close to the live and record versions; unsure if the third chord is Gm7 or Dm#5 but both work well.
I'm assuming the chords at the end of the B Section are Dom 7s but I could be wrong so go ahead and correct it
if that's the case. Cheers!

D7   (10-12-10-11-13-10)
D13  (10-12-10-11-12-10)
Gm7  (x-10-12-10-11-10) or Dm#5 (10-x-x-10-11-10)
D    (10-12-12-11-10-10)
Cm   (8-10-10-8-8-8)

[Intro]

D7  D13  Gm7  D
D7  D13  Gm7  D

[A Section]

D7       D13   Gm7       D      D7  D13  Gm7  D
Cool cat vibe, yeah yeah yeah
D7       D13   Gm7       D      D7  D13  Gm7  D
Cool cat vibe, yeah yeah yeah

[B Section]

Cm
Incoming flight of the coloured allomone
Cm
Cool cat, pink is the new black

D7  D13  Gm7  D
D7  D13  Gm7  D

E7 G7 A7 B

D7  D13  Gm7  D
D7  D13  Gm7  D

[A Section]

D7       D13   Gm7       D      D7  D13  Gm7  D
Cool cat vibe, yeah yeah yeah
         D7       D13   Gm7       D      D7  D13  Gm7  D
He got a cool cat vibe, yeah yeah yeah
D7       D13   Gm7       D
Cool cat vibe, yeah yeah yeah
D7     D13    Gm7    D
You've got to have a good time
D7       D13   Gm7       D
Cool cat vibe, yeah yeah yeah
D7   D13  Gm7     D
It's all  in your head

[B Section]

Cm
Keep coming flight in coloured allomone
Cm
Cool cat, pink is the new black
Cm
Keep coming flight in coloured allomone
Cm
Cool cat, pink is the new black

D7  D13  Gm7  D
D7  D13  Gm7  D
N.C.
Cool cat

[Outro]

D7  D13  Gm7  D  x  8
    

Source: https://tabs.ultimate-guitar.com/tab/the_babe_rainbow/cool_cat_vibe_chords_2426359

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