All little correction because of a single false note ^^ I'm working on the entire tab.
I'm not sure about the tuning down thing, but I'm referring to the Guns n roses tuning.

Tune down 1/2 step


       H        E   S  S  S  S  S  S     E   E   E   S   S  E   E   E   E      E   E   E   E   E   E   E   E   
D#||------------------11-13-11-------|----------13-----------------13--11--|----------11------13------11------|
A#||---------------11----------11----|--10--13------10h-13-----10----------|------13--------------------------|
F#||---------------------------------|---------------------10--------------|--13----------13------13------13--|
C#||--13--------L-----------------13-|-------------------------------------|----------------------------------|
G#||---------------------------------|-------------------------------------|----------------------------------|
D#||---------------------------------|-------------------------------------|----------------------------------|


   ^     ^       ^   ^   ^      ^                                                                    
   Q     Q.      E   E   E      H        E   S  S  S  S  S  S     E   E   E   S   S  E   E   E   E   
--15----15------15--14--13--|--11--------L-----11-13-11-------|----------13-----------------13--11--|
--16----16------16--15--14--|--11--------L--11----------11----|--10--13------10h-13-----10----------|
----------------------------|---------------------------------|---------------------10--------------|
----------------------------|------------------------------13-|-------------------------------------|
----------------------------|---------------------------------|-------------------------------------|
----------------------------|---------------------------------|-------------------------------------|

   E   E   E   E   E   E   E   E      Q     H.               
----------11------13------11------|--15----15------------|
------13--------------------------|--16----16------------|
--13----------13------13------13--|----------------------|
----------------------------------|----------------------|
----------------------------------|----------------------|
----------------------------------|----------------------|

Duration Legend
---------------
W - whole
H - half
Q - quarter
E - 8th
S - 16th
T - 32nd
X - 64th
. - note dotted


Tablature Legend
----------------
L - tied note
x - dead note
(n) - ghost note
> - accentuded note
NH - natural harmonic
AH - artificial harmonic
TH - tapped harmonic
SH - semi harmonic
PH - pitch harmonic
h - hammer on
p - pull off
b - bend
br - bendRelease
pb - preBend
pbr - preBendRelease
brb - bendReleaseBend
\n/ - tremolo bar dip
\n - tremolo bar dive
-/n - tremolo bar Release up
/n\ - tremolo bar inverted dip
/n - tremolo bar return
-\n - tremolo bar Release down
S - shift slide
s - legato slide
/ -  slide into from below or out of upwards
\ -  slide into from above or out of downwards
~ - vibrato
W - wide vibrato
tr - trill
TP - tremolo picking
T - tapping
S - slap
P - pop
< - fade in
^ - brush up
v - brush down