This is for the Era Vulgaris version, which is pretty much the same as the Desert
one, but oh well.
I tabbed it in C standard because that is QOTSA's usual tuning

Chords (for the whoe song)
  C (x32010@1)   A (x02220@1)    A7 (x02020@1)  E|-------9------9-----4----| (022100@1)|-9-----9------9-----4----|
|-9-----10-----10----5----|
|-9-----11-----9-----6----|
|-7-----11-----11----6----|
|-------9------9-----4----|

I think the rhythm does a lot of improvisation, it's hard to tell because it's so quiet, 
when improvising i think these chords are also used:
|-9-----4-----4----|
|-9-----4-----7----|
|-9-----5-----5----|
|-9-----4-----4----|
|-11----6-----6----|
|-9-----4-----4----|

An example of a rhythm improvisation would be
|-----------------------9--9---x9--9-9--9------4-4-----4-4------4-4-----4-4-|
|-9-9-9-9---------------9--9---x9--9-9--9------4-4-----4-4------7-7-----7-7-|
|-9-9-9-9---------------10-10--x9--1010-10-----5-5-----5-5------5-5-----5-5-|
|-9-9-9-9-9h11p9---9h11-11-11--x9--9-9--9--6-6-----6-6-----6-6------6-6-----|
|-7-7-7-7--------11-----11-11--x11-1111-11-6-6-----6-6-----6-6------6-6-----|
|-----------------------9--9---x9--9-9--9--4-4-----4-4-----4-4------4-4-----|

Intro solo
|-----------------------------------------------------------------|
|-----------------------------------------------------------------|
|-----4------4-6-6b---46-6b---------4-----------------------6v----|
|-4-6---6-----------------------4-6---6---4-6---4-6----6----------|
|---------------------------------------------6-------------------|
|----------------------------------------------------7b-----------|

Verse 1:
You wanna know if I know why ?
I can't say that I do
I don't understand the evil eye
Or how one becomes two
& I just can't recall what started it all
Or how to begin in the end
I ain't here to break it
Just see how far it will bend

Chorus
I wanna make it
I wanna make it wit chu
Anytime, Anywhere
Again & Again

Verse 2:
Sometimes the same is different,
but mostly it's the same
these mysteries of life, that jus ain't my thing
if I told you that I knew about the sun and the moon,
I'd be untrue
The only thing I know for sure
Is what I wanna do
anytime, anywhere & I say

Chorus (x2)
I wanna make it
I wanna make it wit chu
(Anytime, Anywhere)
(Again & Again)

Solo
|---------------------------------------------14b-----------------------|
|-12/14-14-14-14-14-14-12-14-12---12-14----12-----14v---12-14b-12-14----|
|---------------------------------------13---------------------------13-|
|-----------------------------------------------------------------------|
|-----------------------------------------------------------------------|
|-----------------------------------------------------------------------|

-------------------------------------------------------------------------|
-------------------------------------------------------------------------|
--11-13b---13b-11-13--------11---------------6b-6b-4--6p4-4-------4-6b-4-|
---------------------11-9/11---11p9h11--4-6--------------6-6--4-6--------|
-------------------------------------------------------------------------|
-------------------------------------------------------------------------|

---------------------------------79---------6h7p6-6----------------------|
-----------------79----------79-7---7-9b-9-------9-97-9p7-7--------------|
--6b-46-4----46/8--6p46b--4/6--8-------------------------8--6p46/8-------|
-------6-6p46-------------------------------------------------------6p46-|
-------------------------------------------------------------------------|
-------------------------------------------------------------------------|

------------------------------11-14-11------11--11---------------------------|
----------------------------12--------12----14b-14b--12-14b-14b-12-14--12----|
------------4--x---4-6/8--13------------13---------------------------13--13--|
--4-6---6----6---6-----------------------------------------------------------|
-----------------------------------------------------------------------------|
------7b---------------------------------------------------------------------|

-------------------|
--14----14----14---|
----13----13----13-|
-------------------|
-------------------|
-------------------|

End chorus fills
|--------------------|
|----------------7---|
|-6b----4-6-6b----6b-|
|--------------------|
|--------------------|
|--------------------|

|------4----------------|
|-----------------------|
|--4b-------------------|
|-------6-----------4/6-|
|-----------------------|
|------------xxx7b------|

|-----------------------------|
|-----------------------------|
|-6b--4--4--4----6v-------4-6-|
|---------46-6----------6-----|
|-----------------------------|
|-----------------------------|

Outro (chorus notes for the Era Vulgaris song)
|------------------|x2
|------------------|
|------------------|
|------------------|
|-10-9---7---5-----|
|------8---6---0-0-|