"Hey get out off my way E.P."
Carnival

First, I definitely think that the Cardigans use a Capo on the second fret,
and that the key of "Carnival" is E .
Basically, if you play "Carnival" in E , you will use the following chords:
Chords
------
 1) near the capo
As you can see, the first chord is a strange F#m  maybe 7 or 9, I don't
know, but it sounds exactly like in "Carnival".
The chords 4,5 and 6 are the bossa-style chords that are so hard to catch
on "by my door, waiting for you".
              F#m*    E   Esus2*  D#dim  Dmaj7*  C#m     B      A 
e|-----2+------2------2------0------0------0------2------0------3-----
B|-----2+------3------3------3------0------0------3------2------0-----
G|-----2+------0------3------2------0------0------4------2------0-----
D|-----2+------2------0------0------5------4------4------2------0-----
A|-----2+-----(2)-------------------4------3------2------0------2-----
E|-----2+-----------------------------------------2------0------3-----
       ^
       ^      Em*     D   Dsus2*  C#dim  Cmaj7*   Bm      A      G 
      the     ~~~
     Capo!           are the chords you get without the capo
 2) Since I don't have any capo, here are the chords I play
e|----------------------------------------4------7------5-----
B|-----9------9------7------7------7------5------7------5-----
G|-----9------9------9------6------6------6------8------6-----
D|-----7------9------9------7------6------6------9------7-----
A|-----9------7------7------6------5------4------9------7-----
E|----------------------------------------4------7------5-----
      F#m*    E   Esus2*  D#dim Dmaj7*   C#m     B      A 

My chords book says the Dmaj7*  is a Dmaj7/#11 ...

HOW TO USE ALL THESE CHORDS
----------------------------

1st Part
--------
F#m*                E 
Carnival came by my town today
Esus2*             F#m* 
bright lights from giant wheels
            E 
fall on the alleyways
Esus2* 
and I'm here
D#dim 
by my door
Dmaj7*     C#m 
wating for you

2nd part
--------
F#m*   B 
I will never know
      E(sus2*?) A 
cause you will never show
F#m*        B 
come on and love me now
E(sus2*?)   A 
come on and love me now
F#m*   B 
I will never know
      E(sus2*?) A 
cause you will never show
F#m*        B 
come on and love me now
E(sus2*?)   A 
come on and love me now
Dmaj7*      Esus2*        F#m* 
come on and love me now

as 1st part
-----------
I hear sounds of lovers
barrel organs, mothers
I would like to take you
down there
just to make you mine
in a merry-go-round