Paper Hats

This Heat

key:
Intro and verses are ~115bpm, bridge is ~180, outro is ~135.

[Intro]
(Strum these notes slowly as a barre chord rather than picking individually)
   1  +  2  +  3  +    1  +  2  +  3  +
E|-------------------|-------------------|
B|-------------------|-------------------|
G|-------6--6--------|-------6--6--------|
D|-----4------4------|-----4------4------| (x3)
A|---4----------4----|---4----------4----|
E|-4--------------4--|-4--------------4--|

[Verse 1]
   1  +  2  +  3  +  4  +    1  +  2  +  3  +  4  +    1  +  2  +  3  +  4  +    1  +  2  +  3  +  4  +
E|-------------------------|-------------------------|-------------------------|-------------------------|
B|-------------------------|-------------------------|-------------------------|-------------------------|
G|-------------11----------|-------------11----------|-------------11----------|-------------11----------|
D|-------12h13-------------|-------13----------------|-------13----------------|-------13----------------|
A|-------------------------|-------------------------|-------------------------|-------------------------|
E|-11----------------------|-11----------------------|-11----------------------|-11----------------------|

   1  +  2  +  3  +  4  +    1  +  2  +  3  +  4  +    1  +  2  +  3  +  4  +    1  +  2  +  3  +  4  +
E|-------------------------|-------------------------|-------------------------|-------------------------|
B|-------------------------|-------------------------|-------------------------|-------------------------|
G|-------------13----------|-------------13----------|-------------13----------|-------------13----------|
D|-------13----------------|-------13----------------|-------13----------------|-------13----------------|
A|-------------------------|-------------------------|-------------------------|-------------------------|
E|-11----------------------|-11----------------------|-11----------------------|-11----------------------|

   1  +  2  +  3  +  4  +    1  +  2  +  3  +  4  +    1  +  2  +  3  +  4  +    1  +  2  +  3  +  4  +
E|-------------------------|-------------------------|-------------------------|-------------------------|
B|-------------------------|-------------------------|-------------------------|-------------------------|
G|-------------11----------|-------------11----------|-------------11----------|-------------11----------|
D|-------13----------------|-------13----------------|-------13----------------|-------13----------------|
A|-------------------------|-------------------------|-------------------------|-------------------------|
E|-11----------------------|-11----------------------|-11----------------------|-11----------------------|

   1  +  2  +  3  +  4  +    1  +  2  +  3  +  4  +    1  +  2  +  3  +  4  +    1  +  2  +  3  +  4  +
E|-------------------------|-------------------------|-------------------------|-------------------------|
B|-------------------------|-------------------------|-------------------------|-------------------------|
G|-------------13----12----|-------------13----12----|-------------13----12----|-------------13----12----|
D|-------13----------------|-------13----------------|-------13----------------|-------13----------------|
A|-------------------------|-------------------------|-------------------------|-------------------------|
E|-11----------------------|-11----------------------|-11----------------------|-11----------------------|

   1  +  2  +  3  +  4  +    1  +  2  +  3  +  4  +    1  +  2  +  3  +  4  +    1  +  2  +  3  +  4  +
E|-------------------------|-------------------------|-------------------------|-------------------------|
B|-------------------------|-------------------------|-------------------------|-------------------------|
G|-------------11----------|-------------11----------|-------------11----------|-------------11----------|
D|-------13----------------|-------13----------------|-------13----------------|-------13----------------|
A|-------------------------|-------------------------|-------------------------|-------------------------|
E|-11----------------------|-11----------------------|-11----------------------|-11----------------------|

   1  +  2  +  3  +  4  +    1  +  2  +  3  +  4  +    1  +  2  +  3  +  4  +    1  +  2  +  3  +  4  +
E|-------------------------|-------------------------|-------------------------|-------------------------|
B|-------------------------|-------------------------|-------------------------|-------------------------|
G|-------------13----------|-------------13----------|-------------13----------|-------------13----------|
D|-------13----------------|-------13----------------|-------13----------------|-------13----------------|
A|-------------------------|-------------------------|-------------------------|-------------------------|
E|-11----------------------|-11----------------------|-11----------------------|-11----------------------|

   1  +  2  +  3  +  4  +    1  +  2  +  3  +  4  +    1  +  2  +  3  +  4  +    1  +  2  +  3  +  4  +
E|-------------------------|-------------------------|-------------------------|-------------------------|
B|-------------------------|-------------------------|-------------------------|-------------------------|
G|-------------11----------|-------------11----------|-------------11----------|-------------11----------|
D|-------12----------------|-------13----------------|-------13----------------|-------13----------------|
A|-------------------------|-------------------------|-------------------------|-------------------------|
E|-11----------------------|-11----------------------|-11----------------------|-11----------------------|

   1  +  2  +  3  +  4  +    1  +  2  +  3  +  4  +    1  +  2  +  3  +  4  +    1  +  2  +  3  +  4  +
E|-------------------------|-------------------------|-------------------------|-------------------------|
B|-------------------------|-------------------------|-------------------------|-------------------------|
G|-------------13----12----|-------------13----12----|-------------13----12----|-10----------------------|
D|-------13----------------|-------13----------------|-------13----------------|-------13----12----10----|
A|-------------------------|-------------------------|-------------------------|-------------------------|
E|-11----------------------|-11----------------------|-11----------------------|-------------------------|

[Verse 2]
Repeat this four times, omitting the last four measures the final time
   1  +  2  +  3  +    1  +  2  +  3  +    1  +  2  +  3  +    1  +  2  +  3  +  
E|-------------------|-------------------|-------------------|-------------------|
B|-------------------|-------------------|-------------------|-------------------|
G|-------6--6--------|-------6--6--------|-------6--6--------|-------6--6--------|
D|-----4------4------|-----4------4------|-----4------4------|-----4------4------|
A|---4----------4----|---4----------4----|---4----------4----|---4----------4----|
E|-4--------------4--|-4--------------4--|-4--------------4--|-4--------------4--|

   1  +  2  +  3  +    1  +  2  +  3  +    1  +  2  +  3  +    1  +  2  +  3  + 
E|-------------------|-------------------|-------------------|-------------------|
B|-------------------|-------------------|-------------------|-------------------|
G|-------4--4--------|-------4--4--------|-------4--4--------|-------4--4--------|
D|-----4------4------|-----4------4------|-----4------4------|-----4------4------|
A|---4----------4----|---4----------4----|---4----------4----|---4----------4----|
E|-4--------------4--|-4--------------4--|-4--------------4--|-4--------------4--|

   1  +  2  +  3  +    1  +  2  +  3  +    1  +  2  +  3  +    1  +  2  +  3  + 
E|-------------------|-------------------|-------------------|-------------------|
B|-------------------|-------------------|-------------------|-------------------|
G|-------6--6--------|-------6--6--------|-------6--6--------|-------6--6--------|
D|-----4------4------|-----4------4------|-----4------4------|-----4------4------|
A|---4----------4----|---4----------4----|---4----------4----|---4----------4----|
E|-4--------------4--|-4--------------4--|-4--------------4--|-4--------------4--|

   1  +  2  +  3  +    1  +  2  +  3  +    1  +  2  +  3  +    1  +  2  +  3  + 
E|-------------------|-------------------|-------------------|-------------------|
B|-------------------|-------------------|-------------------|-------------------|
G|-------6--6--------|-------6--6--------|-------6--6--------|-------6--6--------|
D|-----4------4------|-----4------4------|-----4------4------|-----4------4------|
A|---4----------4----|---4----------4----|---4----------4----|---4----------4----|
E|-4--------------4--|-4--------------4--|-4--------------4--|-4--------------4--|

[Bridge]
Play this riff at an accelerating rate
(You can additionally barre the highest two strings and strum those too, optionally)
   1  +  2  +  3  +  
E|-------------------|
B|-------------------|
G|-------8--8--------|
D|-----6------6------| (x16)
A|---6----------6----|
E|-6--------------6--|

(Amidst all the noise, looped sound, and general freakiness, it's difficult to tell what's being played
here, but my best guess is something like this. Tremolo picking just the high notes kinda works too) 
Let the high notes ring
   1  +  2  +  3  +  4  +    1  +  2  +  3  +  4  +    1  +  2  +  3  +  4  +    1  +  2  +  3  +  4  +
E|-------------------------|-------------------------|-------------------------|-------------------------|
B|----9--9--------9--9-----|----9--9--------9--9-----|----9--9--------9--9-----|----9--9--------9--9-----|
G|----13-13-------13-13----|----13-13-------13-13----|----13-13-------13-13----|----13-13-------13-13----|
D|-------------------------|-------------------------|-------------------------|-------------------------|
A|-------------------------|-------------------------|-------------------------|-------------------------|
E|-12-------12-12-------12-|-12-------12-12-------12-|-12-------12-12-------12-|-12-------12-12-------12-|

   1  +  2  +  3  +  4  +    1  +  2  +  3  +  4  +    1  +  2  +  3  +  4  +    1  +  2  +  3  +  4  +
E|-------------------------|-------------------------|-------------------------|-------------------------|
B|----10-10-------10-10----|----10-10-------10-10----|----10-10-------10-10----|----10-10-------10-10----|
G|----14-14-------14-14----|----14-14-------14-14----|----14-14-------14-14----|----14-14-------14-14----|
D|-------------------------|-------------------------|-------------------------|-------------------------|
A|-------------------------|-------------------------|-------------------------|-------------------------|
E|-13-------13-13-------13-|-13-------13-13-------13-|-13-------13-13-------13-|-13-------13-13-------13-|

   1  +  2  +  3  +  4  +    1  +  2  +  3  +  4  +    1  +  2  +  3  +  4  +    1  +  2  +  3  +  4  +
E|-------------------------|-------------------------|-------------------------|-------------------------|
B|----13-13-------13-13----|----13-13-------13-13----|----13-13-------13-13----|----13-13-------13-13----|
G|----17-17-------17-17----|----17-17-------17-17----|----17-17-------17-17----|----17-17-------17-17----|
D|-------------------------|-------------------------|-------------------------|-------------------------|
A|-------------------------|-------------------------|-------------------------|-------------------------|
E|-16-------16-16-------16-|-16-------16-16-------16-|-16-------16-16-------16-|-16-------16-16-------16-|

   1  +  2  +  3  +  4  +    1  +  2  +  3  +  4  +    1  +  2  +  3  +  4  +    1  +  2  +  3  +  4  +
E|-------------------------|-------------------------|-------------------------|-------------------------|
B|----12-12-------12-12----|----12-12-------12-12----|----12-12-------12-12----|----12-12-------12-12----|
G|----16-16-------16-16----|----16-16-------16-16----|----16-16-------16-16----|----16-16-------16-16----|
D|-------------------------|-------------------------|-------------------------|-------------------------|
A|-------------------------|-------------------------|-------------------------|-------------------------|
E|-15-------15-15-------15-|-15-------15-15-------15-|-15-------15-15-------15-|-15-------15-15-------15-|

   1  +  2  +  3  +  4  +    1  +  2  +  3  +  4  +    1  +  2  +  3  +  4  +    1  +  2  +  3  +  4  +
E|-------------------------|-------------------------|-------------------------|-------------------------|
B|----9--9--------9--9-----|----9--9--------9--9-----|----9--9--------9--9-----|----9--9--------9--9-----|
G|----13-13-------13-13----|----13-13-------13-13----|----13-13-------13-13----|----13-13-------13-13----|
D|-------------------------|-------------------------|-------------------------|-------------------------|
A|-------------------------|-------------------------|-------------------------|-------------------------|
E|-12-------12-12-------12-|-12-------12-12-------12-|-12-------12-12-------12-|-12-------12-12-------12-|

[Outro]
(I think this section is in 11/8 time, but I had trouble trying to count it out so I may be wrong)
Play this section palm muted
   1  +  2  +  3  +  4  +  5  +  6  +  7  +  8  +  9  +  0  +  1  +   
E|-------------------------------------------------------------------|
B|-------------------------------------------------------------------|
G|-------------------------------------------------------------------|
D|-----6-6-----6-----6------------------6----6-----6-----6-----------| (x5)
A|---6------6-----6-----6-------------6---6-----6-----6-----6--------|
E|-4-----------------------4--4-----4--------------------------4-----|

(Try to emphasise the G# on the 4th string in this variation)
   1  +  2  +  3  +  4  +  5  +  6  +  7  +  8  +  9  +  0  +  1  +   
E|-------------------------------------------------------------------|
B|-------------------------------------------------------------------|
G|-------------------------------------------------------------------|
D|-----6-6-----6-----6------------------6-6-----6-----6--------------| (x2)
A|---6------6-----6-----6-------------6------6-----6-----6-----------|
E|-4-----------------------4--4-----4-----------------------4--6-----|

   1  +  2  +  3  +  4  +  5  +  6  +  7  +  8  +  9  +  0  +  1  +   
E|-------------------------------------------------------------------|
B|-------------------------------------------------------------------|
G|-------------------------------------------------------------------|
D|-----4-4-----4-----4------------------4-4-----4-----4--------------|
A|---4------4-----4-----4-------------4------4-----4-----4-----------|
E|-6-----------------------6--6-----6-----------------------6--6-----|

   1  +  2  +  3  +  4  +  5  +  6  +  7  +  8  +  9  +  0  +  1  +   
E|-------------------------------------------------------------------|
B|-------------------------------------------------------------------|
G|-------------------------------------------------------------------|
D|-----4-4-----4-----4------------------4-4-----4-----4--------------|
A|---4------4-----4-----4-------------4------4-----4-----4-----------|
E|-6-----------------------6--6-----6-----------------------6--3-----|

   1  +  2  +  3  +  4  +  5  +  6  +  7  +  8  +  9  +  0  +  1  +   
E|-------------------------------------------------------------------|
B|-------------------------------------------------------------------|
G|-------------------------------------------------------------------|
D|-----4-3-----3-----3------------------4-3-----3-----3--------------|
A|---6------6-----6-----6-------------6------6-----6-----6-----------|
E|-4-----------------------4--4-----4-----------------------4--4-----|

   1  +  2  +  3  +  4  +  5  +  6  +  7  +  8  +  9  +  0  +  1  +   
E|-------------------------------------------------------------------|
B|-------------------------------------------------------------------|
G|-------------------------------------------------------------------|
D|-----4-3-----3-----3------------------4-3-----3-----3--------------|
A|---6------6-----6-----6-------------6------6-----6-----6-----------|
E|-4-----------------------4--4-----4-----------------------4--3-----|

   1  +  2  +  3  +  4  +  5  +  6  +  7  +  8  +  9  +  0  +  1  + 
E|-------------------------------------------------------------------|
B|-------------------------------------------------------------------|
G|-------------------------------------------------------------------|
D|-----6-6-----6-----6------------------6----6-----6-----6-----------| (repeat until end)
A|---6------6-----6-----6-------------6---6-----6-----6-----6--------|
E|-4-----------------------4--4-----4--------------------------4-----|