Not many people have heard of Jonathan Coultan, but thus far, everyone I know who's heard his stuff thinks it's great. Here are two songs that I think may grant interesting powers:
"Mendelbrot Set":
Pathological monsters! cried the terrified mathematician
Every one of them is a splinter in my eye
I hate the Peano Space and the Koch Curve
I fear the Cantor Ternary Set
And the Sierpinski Gasket makes me want to cry
And a million miles away a butterfly flapped its wings
On a cold November day a man named Benoit Mandelbrot was born
His disdain for pure mathematics and his unique geometrical insights
Left him well equipped to face those demons down
He saw that infinite complexity could be described by simple rules
He used his giant brain to turn the game around
And he looked below the storm and saw a vision in his head
A bulbous pointy form
He picked his pencil up and he wrote his secret down
Take a point called Z in the complex plane
Let Z1 be Z squared plus C
And Z2 is Z1 squared plus C
And Z3 is Z2 squared plus C and so on
If the series of Zs should always stay
Close to Z and never trend away
That point is in the Mandelbrot Set
Mandelbrot Set youre a Rorschach Test on fire
Youre a day-glo pterodactyl
Youre a heart-shaped box of springs and wire
Youre one badass fucking fractal
And youre just in time to save the day
Sweeping all our fears away
You can change the world in a tiny way
Mandelbrots in heaven, at least he will be when hes dead
Right now hes still alive and teaching math at Yale
He gave us order out of chaos, he gave us hope where there was none
And his geometry succeeds where others fail
If you ever lose your way, a butterfly will flap its wings
From a million miles away, a little miracle will come to take you home
Just take a point called Z in the complex plane
Let Z1 be Z squared plus C
And Z2 is Z1 squared plus C
And Z3 is Z2 squared plus C and so on
If the series of Zs should always stay
Close to Z and never trend away
That point is in the Mandelbrot Set
Mandelbrot Set youre a Rorschach Test on fire
Youre a day-glo pterodactyl
Youre a heart-shaped box of springs and wire
Youre one badass fucking fractal
And youre just in time to save the day
Sweeping all our fears away
You can change the world in a tiny way
And youre just in time to save the day
Sweeping all our fears away
You can change the world in a tiny way
Go on change the world in a tiny way
Come on change the world in a tiny way
Would probably give exceptional skill at mathematics with a specialization in chaos theory.
Also "I Crush Everything":
I lie below, you float above
In the pretty white ships that Ive been dreaming of
And Id like to swim beside you
Getting dizzy in your wake
Getting close enough to touch you
Getting brave enough to take you into my arms
And bring you down to be with me
But I cant do that thing anymore
I cant be the thing I was before
Maybe I am better off alone
Because I crush everything
And I crush everything
And I crush everything
My bodys strong, but my will is weak
I got pretty nice arms, but I hate my beak
And the dolphins are all phonies
They seem nice enough at first
They pretend to be your friends
Until they see you at your worst and then they leave you
Without a word they swim away
So I cant do that thing anymore
I cant be the thing I was before
Maybe I am better off alone
Because I crush everything
And I crush everything
And I crush everything
And everything I want I take
And everything I love I break
And every night I lie awake
Did the stars come out? Did the world spin round?
Does it matter that much when youre ten miles down?
And in the light that filters down
Into my giant yellow eye
I can see the sails unfolding
Stretching white against the sky and I forgive them
I forgive and I let go
Cause I cant do that thing anymore
I cant be the thing I was before
Maybe I am better off alone
Because I crush everything
And I crush everything
And I crush everything
And I crush everything
And I crush everything
And I crush everything
I lie below, you float above
In the pretty white ships that I am dreaming of
This would either summon a Kraken, or polymorph Doug into one. Though Doug doesn't have any other shapeshifting songs.
Jonathan Coultan's website has several of his songs for free download, and most of them can be sampled.
www.jonathancoulton.com/
My personal recommendation is "Skullcrusher Mountain".
"Not this again!" Minerva said. "Albus, it was You-Know-Who, not you, who marked Harry as his equal. There is no possible way that the prophecy could be talking about you!" - Harry Potter and the Method of Rationality, Chapter 84
"Mendelbrot Set":
Pathological monsters! cried the terrified mathematician
Every one of them is a splinter in my eye
I hate the Peano Space and the Koch Curve
I fear the Cantor Ternary Set
And the Sierpinski Gasket makes me want to cry
And a million miles away a butterfly flapped its wings
On a cold November day a man named Benoit Mandelbrot was born
His disdain for pure mathematics and his unique geometrical insights
Left him well equipped to face those demons down
He saw that infinite complexity could be described by simple rules
He used his giant brain to turn the game around
And he looked below the storm and saw a vision in his head
A bulbous pointy form
He picked his pencil up and he wrote his secret down
Take a point called Z in the complex plane
Let Z1 be Z squared plus C
And Z2 is Z1 squared plus C
And Z3 is Z2 squared plus C and so on
If the series of Zs should always stay
Close to Z and never trend away
That point is in the Mandelbrot Set
Mandelbrot Set youre a Rorschach Test on fire
Youre a day-glo pterodactyl
Youre a heart-shaped box of springs and wire
Youre one badass fucking fractal
And youre just in time to save the day
Sweeping all our fears away
You can change the world in a tiny way
Mandelbrots in heaven, at least he will be when hes dead
Right now hes still alive and teaching math at Yale
He gave us order out of chaos, he gave us hope where there was none
And his geometry succeeds where others fail
If you ever lose your way, a butterfly will flap its wings
From a million miles away, a little miracle will come to take you home
Just take a point called Z in the complex plane
Let Z1 be Z squared plus C
And Z2 is Z1 squared plus C
And Z3 is Z2 squared plus C and so on
If the series of Zs should always stay
Close to Z and never trend away
That point is in the Mandelbrot Set
Mandelbrot Set youre a Rorschach Test on fire
Youre a day-glo pterodactyl
Youre a heart-shaped box of springs and wire
Youre one badass fucking fractal
And youre just in time to save the day
Sweeping all our fears away
You can change the world in a tiny way
And youre just in time to save the day
Sweeping all our fears away
You can change the world in a tiny way
Go on change the world in a tiny way
Come on change the world in a tiny way
Would probably give exceptional skill at mathematics with a specialization in chaos theory.
Also "I Crush Everything":
I lie below, you float above
In the pretty white ships that Ive been dreaming of
And Id like to swim beside you
Getting dizzy in your wake
Getting close enough to touch you
Getting brave enough to take you into my arms
And bring you down to be with me
But I cant do that thing anymore
I cant be the thing I was before
Maybe I am better off alone
Because I crush everything
And I crush everything
And I crush everything
My bodys strong, but my will is weak
I got pretty nice arms, but I hate my beak
And the dolphins are all phonies
They seem nice enough at first
They pretend to be your friends
Until they see you at your worst and then they leave you
Without a word they swim away
So I cant do that thing anymore
I cant be the thing I was before
Maybe I am better off alone
Because I crush everything
And I crush everything
And I crush everything
And everything I want I take
And everything I love I break
And every night I lie awake
Did the stars come out? Did the world spin round?
Does it matter that much when youre ten miles down?
And in the light that filters down
Into my giant yellow eye
I can see the sails unfolding
Stretching white against the sky and I forgive them
I forgive and I let go
Cause I cant do that thing anymore
I cant be the thing I was before
Maybe I am better off alone
Because I crush everything
And I crush everything
And I crush everything
And I crush everything
And I crush everything
And I crush everything
I lie below, you float above
In the pretty white ships that I am dreaming of
This would either summon a Kraken, or polymorph Doug into one. Though Doug doesn't have any other shapeshifting songs.
Jonathan Coultan's website has several of his songs for free download, and most of them can be sampled.
www.jonathancoulton.com/
My personal recommendation is "Skullcrusher Mountain".
"Not this again!" Minerva said. "Albus, it was You-Know-Who, not you, who marked Harry as his equal. There is no possible way that the prophecy could be talking about you!" - Harry Potter and the Method of Rationality, Chapter 84