Note: the song is in Drop B/E tuning: B E D G B e. 
It's pretty much like a 7-string guitar standard tuning, but you put the 7 and 6 strings into the 6 and 5.
And leave the 4 higher strings in the standard 6-string tuning.

h: hammer-on
p: pull-off
b: bend
rb: release bend
v: vibrato
V: strong vibrato
< >: harmonics
x: dead note
/x: indefinite slide
~: let ring
pm: palm mute

Parabol: clean

(x9)
E|-------------------------------------------------------------------------|
B|-------------------------------------------------------------------------|
G|-------------------------------------------------------------------------|
D|--0h2----7h9----0h2----7h9-7---------------------------------------------|
E|--0------0------0------0---0---------------------------------------------|
B|-------------------------------------------------------------------------|

(x2)
E|-------------------------------------------------------------------------|
B|-------------------------------------------------------------------------|
G|-------------------------------------------------------------------------|
D|--0h2-0----7h9-7----0h2-0----7h9-7---------------------------------------|
E|--0--------0--------0--------0---0---------------------------------------|
B|-------------------------------------------------------------------------|

(x3)
E|-------------------------------------------------------------------------|
B|-------------------------------------------------------------------------|
G|-------------------------------------------------------------------------|
D|--0h2----7h9----0h2----7h9-7---------------------------------------------|
E|--0------0------0------0---0---------------------------------------------|
B|-------------------------------------------------------------------------|

E|-------------------------------------------------------------------------|
B|-------------------------------------------------------------------------|
G|-------------------------------------------------------------------------|
D|--0h2----7h9----0h2------------------------------------------------------|
E|--0------0------0--------------------------------------------------------|
B|-------------------------------------------------------------------------|

Let the last note ring and turn on distortion.

Parabola:

(x4)
E|-------------------------------------------------------------------------|
B|-------------------------------------------------------------------------|
G|-------------------------------------------------------------------------|
D|--0h2---2-3p2-2----------------------------------------------------------|
E|--0-------------3p0-0----------------------------------------------------|
B|----------------------3~-------------------------------------------------|

E|-------------------------------------------------------------------------|
B|-------------------------------------------------------------------------|
G|-------------------------------------------------------------------------|
D|--12h14-14-14~--14-14-14~--------19h21-21-21~--21-21-21/x----------------|
E|-------------------------------------------------------------------------|
B|-------------------------------------------------------------------------|

E|-------------------------------------------------------------------------|
B|-------------------------------------------------------------------------|
G|-------------------------------------------------------------------------|
D|--12h14-14-14~--14-14-14~--------19h21p19~---19b20rb19/x-----------------|
E|-------------------------------------------------------------------------|
B|-------------------------------------------------------------------------|

E|-------------------------------------------------------------------------|
B|-------------------------------------------------------------------------|
G|-------------------------------------------------------------------------|
D|--x-x-----x-x-----x-x-----x-x---x-x---x-x-x------------------------------|
E|--x-x-----x-x-----x-x-----x-x---x-x---x-x-x------------------------------|
B|--x-x-----x-x-----x-x-----x-x---x-x---x-x-x------------------------------|

(x3)
E|-------------------------------------------------------------------------|
B|-------------------------------------------------------------------------|
G|-------------------------------------------------------------------------|
D|-------------------------------------------------------------------------|
E|--10-10-10/12-12-12-12/7-7-7/5-------------------------------------------|
B|---8--8--8/10-10-10-10/5-5-5/3-------------------------------------------|

E|-------------------------------------------------------------------------|
B|-------------------------------------------------------------------------|
G|-------------------------------------------------------------------------|
D|-------------------------------------------------------------------------|
E|--10-10-10/12-12-12-12---3--3--12--10--5---------------------------------|
B|---8--8--8/10-10-10-10---1--1--10---8--3---------------------------------|

(x7)
E|-------------------------------------------------------------------------|
B|-------------------------------------------------------------------------|
G|-------------------------------------------------------------------------|
D|--0h2---2-3p2-2----------------------------------------------------------|
E|--0-------------3p0-0----------------------------------------------------|
B|----------------------3~-------------------------------------------------|

E|-------------------------------------------------------------------------|
B|-------------------------------------------------------------------------|
G|-------------------------------------------------------------------------|
D|-------------------------------------------------------------------------|
E|--5/7---5/7---5~---------------------------------------------------------|
B|--3/5---3/5---3~---------------------------------------------------------|

(x3)
E|-------------------------------------------------------------------------|
B|-------------------------------------------------------------------------|
G|-------------------------------------------------------------------------|
D|----------------2---2--x-4-----------------------------------------------|
E|----------5p0---0---0--x-2-----------------------------------------------|
B|--0h3-3-3-----0----------------------------------------------------------|

E|-------------------------------------------------------------------------|
B|-------------------------------------------------------------------------|
G|-------------------------------------------------------------------------|
D|----------------2--------------------------------------------------------|
E|----------5p0---0--------------------------------------------------------|
B|--0h3-3-3-----0----------------------------------------------------------|

(x4)
E|-------------------------------------------------------------------------|
B|-------------------------------------------------------------------------|
G|-------------------------------------------------------------------------|
D|-------------------------------------------------------------------------|
E|--5/7---7/10/5~----------------------------------------------------------|
B|--3/5---5/ 8/3~----------------------------------------------------------|

Solo
E|-------------------------------------------------------------------------|
B|-------------------------------------------------------------------------|
G|-------------------------------------------------------------------------|
D|--12h14-14-14~-14-14-14~--------19h21-21-21~-21-21-21/x------------------|
E|-------------------------------------------------------------------------|
B|-------------------------------------------------------------------------|

E|-------------------------------------------------------------------------|
B|-------------------------------------------------------------------------|
G|--------------------------------------------19-18-14h18/19---------------|
D|--12h14-14-14~-14-14-14~--------19h21p19~--------------------------------|
E|-------------------------------------------------------------------------|
B|-------------------------------------------------------------------------|

E|-------------------------------------------------------------------------|
B|----------15-14-------------10--10b12rb10~---8/7-8-----------------------|
G|--0-11-12-------12-14p12~--------------------------9b11-9/x--------------|
D|-------------------------------------------------------------------------|
E|-------------------------------------------------------------------------|
B|-------------------------------------------------------------------------|

E|-------------------------------------------------------------------------|
B|------<11>-<12>------------------<11>-<12>-------------------------------|
G|--<9>-----------<11>-<12>~---<9>-----------<11>-<12>~--------------------|
D|-------------------------------------------------------------------------|
E|-------------------------------------------------------------------------|
B|-------------------------------------------------------------------------|

E|-------------------------------------------------------------------------|
B|--<11>-<11>--------------------------------------------------------------|
G|------------<12>-<11>----------------------------------------------------|
D|----------------------7v~/x----------------------------------------------|
E|-------------------------------------------------------------------------|
B|-------------------------------------------------------------------------|

(x7)
E|-------------------------------------------------------------------------|
B|-------------------------------------------------------------------------|
G|-------------------------------------------------------------------------|
D|--0h2---2-3p2-2----------------------------------------------------------|
E|--0-------------3p0------------------------------------------------------|
B|--------------------3~---------------------------------------------------|

E|-------------------------------------------------------------------------|
B|-------------------------------------------------------------------------|
G|-------------------------------------------------------------------------|
D|-------------------------------------------------------------------------|
E|--5/7---5/7---5~---------------------------------------------------------|
B|--3/5---3/5---3~---------------------------------------------------------|

(x3)
E|-------------------------------------------------------------------------|
B|-------------------------------------------------------------------------|
G|-------------------------------------------------------------------------|
D|----------------2---2--x-4-----------------------------------------------|
E|----------5p0---0---0--x-2-----------------------------------------------|
B|--0h3-3-3-----0----------------------------------------------------------|

E|-------------------------------------------------------------------------|
B|-------------------------------------------------------------------------|
G|-------------------------------------------------------------------------|
D|----------------2~-------------------------------------------------------|
E|----------5p0---0~-------------------------------------------------------|
B|--0h3-3-3-----0----------------------------------------------------------|

E|-------------------------------------------------------------------------|
B|-------------------------------------------------------------------------|
G|-------------------------------------------------------------------------|
D|-------------------------------------------------------------------------|
E|--7---7~---7---7~---7---7~-----7-----------------------------------------|
B|--0---5~---0---5~---0---5~-----0-----------------------------------------|

(x4 - slowly)
E|-------------------------------------------------------------------------|
B|-------------------------------------------------------------------------|
G|-------------------------------------------------------------------------|
D|-------------------------------------------------------------------------|
E|--7/5/12/10/x------------------------------------------------------------|
B|--5/3/10/ 8/x------------------------------------------------------------|

(x4)
E|-------------------------------------------------------------------------|
B|-------------------------------------------------------------------------|
G|-------------------------------------------------------------------------|
D|-------------------------------------------------------------------------|
E|--7-7/5-5-x-x-x-x/12-12-10-----------------------------------------------|
B|--5-5/3-3-x-x-x-x/10-10--8---0-------------------------------------------|

(x3)
E|-------------------------------------------------------------------------|
B|-------------------------------------------------------------------------|
G|-------------------------------------------------------------------------|
D|-----------0-------------------------------------------------------------|
E|-----5--3------------------3---------------------------------------------|
B|--5-----------3~-----5--3-----0--3~--------------------------------------|

E|-------------------------------------------------------------------------|
B|-------------------------------------------------------------------------|
G|-------------------------------------------------------------------------|
D|-------------------------------------------------------------------------|
E|----------10--10---------------------------------------------------------|
B|--12--10----------10~-----12--10--3--0--10/x-----------------------------|

E|-------------------------------------------------------------------------------|
B|-------------------------------------------------------------------------------|
G|-------------------------------------------------------------------------------|
D|--2p0----------------2p0------------------2p0----------------2p0---------------|
E|------3p2p0--------------3p2p0-----5-3~-------3p2p0--------------3p2p0-----7---|
B|------------3-3-3~-------------3-5------------------3-3-3~-------------3---5---|

E|-------------------------------------------------------------------------|
B|-------------------------------------------------------------------------|
G|-------------------------------------------------------------------------|
D|-----------0-------------------------------------------------------------|
E|-----5--3------------------3---------------------------------------------|
B|--5-----------3~-----5--3-----0--3~--------------------------------------|

(x3)
E|-------------------------------------------------------------------------|
B|-------------------------------------------------------------------------|
G|-------------------------------------------------------------------------|
D|-------------------------------------------------------------------------|
E|------x-x-x-5h7-x-x-10h12p10~--------------------------------------------|
B|--3h5--------------------------------------------------------------------|

E|-------------------------------------------------------------------------|
B|-------------------------------------------------------------------------|
G|-------------------------------------------------------------------------|
D|-------------------------------------------------------------------------|
E|------0-5h7-0-10h12-0-5h7-0----------------------------------------------|
B|--3h5-----------------------3~-------------------------------------------|

(x6)
E|-------------------------------------------------------------------------|
B|-------------------------------------------------------------------------|
G|-------------------------------------------------------------------------|
D|-------------------------------------------------------------------------|
E|-------------------------------------------------------------------------|
B|--5-5-5-5-5-5-5---3-3-3-3-3-3-3------------------------------------------|
      pm---------|    pm---------|

E|-------------------------------------------------------------------------|
B|-------------------------------------------------------------------------|
G|-------------------------------------------------------------------------|
D|-------------------------------------------------------------------------|
E|-----3h5-----3h5---5/7---5/7---5~/7--------------------------------------|
B|--5-------3--------3/5---3/5---3~/5--------------------------------------|

(x4)
E|-------------------------------------------------------------------------|
B|-------------------------------------------------------------------------|
G|-------------------------------------------------------------------------|
D|-----------------------2~-2-2-2~-2---------------------------------------|
E|--0h2-0h2-0h2-0h2-2v---0~-----0~-----5--5--------------------------------|
B|--0---0---0---0---0----------------0-3--3v-------------------------------|

(x2)
E|-------------------------------------------------------------------------|
B|-------------------------------------------------------------------------|
G|-------------------------------------------------------------------------|
D|-----------------------2~-2-2-2~-x-2-------------------------------------|
E|--0h2-0h2-0h2-0h2-2V---0~-----0~-------5--5------------------------------|
B|--0---0---0---0---0------------------0-3--3v-----------------------------|

E|-------------------------------------------------------------------------|
B|-------------------------------------------------------------------------|
G|-------------------------------------------------------------------------|
D|------------------------2~-----------------------------------------------|
E|--0h2-0h2-0h2-0h2-2Vp0--0~-----------------------------------------------|
B|--0---0---0---0---0------------------------------------------------------|

Outro (clean)

E|-------------------------------------------------------------------------|
B|-------------------------------------------------------------------------|
G|-------------------------------------------------------------------------|
D|--7h9---0h2--------------------------------------------------------------|
E|--0-----0----------------------------------------------------------------|
B|-------------------------------------------------------------------------|

Last part w/echo:

E|-------------------------------------------------------------------------|
B|-------------------------------5-----------------------------------------|
G|-----------------------------4-------------------------------------------|
D|--9-9-7h9p7-5-4-5-4p0-2~---5---------------------------------------------|
E|-------------------------------------------------------------------------|
B|-------------------------------------------------------------------------|