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 Forum index » Clavia Nord Modular » G2 Building Blocks
Mandelbrot Set
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JLS



Joined: Nov 05, 2005
Posts: 419
Location: Czech
Audio files: 16
G2 patch files: 275

PostPosted: Wed Sep 06, 2006 12:44 pm    Post subject: Mandelbrot Set Reply with quote  Mark this post and the followings unread

Few basic mandelbrot variations

z=(z*z)+c
z=sin(z*z)+c
z=c*z(1-z)

Not floating point number ( only approximately but useful for generative music )

Smile


Mandelbrot-1.pch2
 Description:
z=(z*z)+c

Download
 Filename:  Mandelbrot-1.pch2
 Filesize:  1.28 KB
 Downloaded:  723 Time(s)


Mandelbrot-1.pch2
 Description:
z=(z*z)+c

Download
 Filename:  Mandelbrot-1.pch2
 Filesize:  1.28 KB
 Downloaded:  693 Time(s)

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JLS



Joined: Nov 05, 2005
Posts: 419
Location: Czech
Audio files: 16
G2 patch files: 275

PostPosted: Wed Sep 06, 2006 12:48 pm    Post subject: Reply with quote  Mark this post and the followings unread

sorry duplicate file my first multi post


Mandelbrot-2.pch2
 Description:
z=sin(z*z)+c

Download
 Filename:  Mandelbrot-2.pch2
 Filesize:  1.36 KB
 Downloaded:  664 Time(s)


Mandelbrot-3.pch2
 Description:
z=c*z(1-z)

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 Filename:  Mandelbrot-3.pch2
 Filesize:  1.39 KB
 Downloaded:  658 Time(s)

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ian-s



Joined: Apr 01, 2004
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PostPosted: Wed Sep 06, 2006 1:26 pm    Post subject: Reply with quote  Mark this post and the followings unread

Very nice, thank you. Very Happy
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JLS



Joined: Nov 05, 2005
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PostPosted: Fri Sep 08, 2006 9:33 am    Post subject: Reply with quote  Mark this post and the followings unread

z=z*z+c+sin(z)


Mandelbrot-4.pch2
 Description:
z=z*z+c+sin(z)

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 Filename:  Mandelbrot-4.pch2
 Filesize:  1.37 KB
 Downloaded:  656 Time(s)

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JLS



Joined: Nov 05, 2005
Posts: 419
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Audio files: 16
G2 patch files: 275

PostPosted: Fri Sep 08, 2006 10:18 am    Post subject: Reply with quote  Mark this post and the followings unread

z=c*z+(1-c)*z*z


Mandelbrot-5.pch2
 Description:
z=c*z+(1-c)*z*z

Download
 Filename:  Mandelbrot-5.pch2
 Filesize:  1.44 KB
 Downloaded:  643 Time(s)


Mandelbrot-5.pch2
 Description:
z=c*z+(1-c)*z*z

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 Filename:  Mandelbrot-5.pch2
 Filesize:  1.44 KB
 Downloaded:  650 Time(s)

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JLS



Joined: Nov 05, 2005
Posts: 419
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PostPosted: Fri Sep 08, 2006 10:19 am    Post subject: Reply with quote  Mark this post and the followings unread

im stupid - why duplicate post ?????????????

sorry
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JLS



Joined: Nov 05, 2005
Posts: 419
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PostPosted: Fri Sep 08, 2006 10:21 am    Post subject: Reply with quote  Mark this post and the followings unread

z=c*z+(1-c)*sin(z)


Mandelbrot-6.pch2
 Description:
z=c*z+(1-c)*sin(z)

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 Filename:  Mandelbrot-6.pch2
 Filesize:  1.5 KB
 Downloaded:  714 Time(s)

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JLS



Joined: Nov 05, 2005
Posts: 419
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PostPosted: Fri Sep 08, 2006 10:23 am    Post subject: Reply with quote  Mark this post and the followings unread

please help me make basic divider

z=x/y

very thanks
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mosc
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PostPosted: Fri Sep 08, 2006 4:39 pm    Post subject: Reply with quote  Mark this post and the followings unread

Thanks for posting these patches. They are facinating. I really like this stuff.

As for division on the G2, maybe this thread will be of use to you. http://electro-music.com/forum/topic-5147.html

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JLS



Joined: Nov 05, 2005
Posts: 419
Location: Czech
Audio files: 16
G2 patch files: 275

PostPosted: Sat Sep 09, 2006 12:20 am    Post subject: Reply with quote  Mark this post and the followings unread

Thanks help Mosc Smile
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Blue Hell
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PostPosted: Thu Oct 05, 2006 1:43 pm    Post subject: Reply with quote  Mark this post and the followings unread

Quite a set, interesting as well, had totally missed it ... next time please don't post such when I'm on a holiday Very Happy

And maybe interesting, here is the "simple" Z <- Z^2 + C case worked out for Z and C being complex numbers (Z as a + bi and C as c + di).

Made the left channel osc listen to the real part (a) and the right channel osc to the imaginary part (b) of Z - also nice patterns I think. the patch is demo "friendly".

Explanation :

Z <- Z^2 + C Which can be rewritten as :

a + bi <- (a + bi)^2 + (c + di) or :

a + bi <- a^2 - b^2 + 2abi + c + di or with real and imaginary parts sorted :

a + bi <- (a^2 - b^2 + c) + (2ab + d)i or split into two equations :

a <- a^2 - b^2 + c
b <- 2ab + d

The patch always uses Z = 0 + 0i as the start value for the iteration (on patch load), C is a user variable with coarse and fine control.


mandc-1.pch2
 Description:
Another mandelbrot patch

Download
 Filename:  mandc-1.pch2
 Filesize:  2.17 KB
 Downloaded:  915 Time(s)


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JLS



Joined: Nov 05, 2005
Posts: 419
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PostPosted: Sat Oct 07, 2006 10:23 am    Post subject: Reply with quote  Mark this post and the followings unread

Blue Hell thanks mathematical theory and patch

My new set is Newton Julia fractal

fn(z)=2z^3+1/3z^2 ( aprox. )

Smile


Mandelbrot-7.pch2
 Description:
fn(z)=2z^3+1/3z^2

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 Filename:  Mandelbrot-7.pch2
 Filesize:  1.55 KB
 Downloaded:  705 Time(s)

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JLS



Joined: Nov 05, 2005
Posts: 419
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G2 patch files: 275

PostPosted: Tue Dec 26, 2006 3:27 am    Post subject: Reply with quote  Mark this post and the followings unread

Basic algo z=(z*z)+c with range detection algo Smile


Mandelbrot-8.pch2
 Description:
z=(z*z)+c with range detection

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 Filename:  Mandelbrot-8.pch2
 Filesize:  1.43 KB
 Downloaded:  696 Time(s)

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JLS



Joined: Nov 05, 2005
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PostPosted: Tue Dec 26, 2006 3:56 pm    Post subject: Reply with quote  Mark this post and the followings unread

Basic algo z=(z*z)+c with range detection and dynamic "c" for more complexity Smile


Mandelbrot-9.pch2
 Description:
Basic algo z=(z*z)+c with range detection and dynamic "c" for more complexity

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 Filename:  Mandelbrot-9.pch2
 Filesize:  1.55 KB
 Downloaded:  627 Time(s)

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JLS



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PostPosted: Sat Dec 30, 2006 6:34 am    Post subject: Reply with quote  Mark this post and the followings unread

z=sin(z^2+c)^2


sin(z^2+c)^2.jpg
 Description:
 Filesize:  57.39 KB
 Viewed:  17052 Time(s)

sin(z^2+c)^2.jpg



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JLS



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PostPosted: Sat Dec 30, 2006 6:36 am    Post subject: Reply with quote  Mark this post and the followings unread

z=sin(z^2+c)^2


sin(z^2+c)^2.pch2
 Description:
z=sin(z^2+c)^2

Download
 Filename:  sin(z^2+c)^2.pch2
 Filesize:  1.51 KB
 Downloaded:  597 Time(s)


sin(z^2+c)^2.pch2
 Description:
z=sin(z^2+c)^2

Download
 Filename:  sin(z^2+c)^2.pch2
 Filesize:  1.51 KB
 Downloaded:  656 Time(s)


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JLS



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PostPosted: Sat Dec 30, 2006 6:37 am    Post subject: Reply with quote  Mark this post and the followings unread

sorry dual post Smile
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JLS



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PostPosted: Sat Dec 30, 2006 6:48 am    Post subject: Reply with quote  Mark this post and the followings unread

z=sin(z^2+c)^zi
zi=(z^2+c)


sin(z^2+c)^zi.jpg
 Description:
 Filesize:  51.22 KB
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sin(z^2+c)^zi.jpg



sin(z^2+c)^zi.pch2
 Description:
z=sin(z^2+c)^zi
zi=(z^2+c)

Download
 Filename:  sin(z^2+c)^zi.pch2
 Filesize:  1.5 KB
 Downloaded:  679 Time(s)


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darwen



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PostPosted: Mon Jan 01, 2007 3:01 am    Post subject: Reply with quote  Mark this post and the followings unread

I don't understand the utilities of this patches , can someone explane it please.
I just see math equations and not real sound patch and i 'm also bad in math than in english ,sorry. Embarassed
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JLS



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PostPosted: Mon Jan 01, 2007 2:14 pm    Post subject: Reply with quote  Mark this post and the followings unread

This is only building blocks ideal for generative and algoritmic music patch.

Using like lfo oscilator

This building blocks not 100% mathematical equation only approximately but useful Smile

I fascinating on fractal geometry Smile

Kamil

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PostPosted: Tue Jan 02, 2007 8:44 am    Post subject: Reply with quote  Mark this post and the followings unread

You might think of this a some kind of sequencer for generating melodies or note sequences. Instead of a random note generator or a repeating note sequencer, these patches generate sequences that sound musical and interesting. If you are interested in pop music or jazz, these might not be all that useful, but if you are developing algorithmic based music, these are just great to have in your bag of tricks.
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JLS



Joined: Nov 05, 2005
Posts: 419
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PostPosted: Tue Jan 02, 2007 11:30 am    Post subject: Reply with quote  Mark this post and the followings unread

fn(z)=sin((z^2+c)^(z^2+c)) same equation like previous patch but with better sinus function


Mandelbrot-13.pch2
 Description:
fn(z)=sin((z^2+c)^(z^2+c)) same equation like previous patch but with better sinus function

Download
 Filename:  Mandelbrot-13.pch2
 Filesize:  1.54 KB
 Downloaded:  749 Time(s)


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JLS



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PostPosted: Sat Jan 20, 2007 4:31 am    Post subject: Reply with quote  Mark this post and the followings unread

fn(z)=z^2+sin(c)


Mandelbrot-14.jpg
 Description:
 Filesize:  52.5 KB
 Viewed:  16714 Time(s)

Mandelbrot-14.jpg



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JLS



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PostPosted: Sat Jan 20, 2007 4:32 am    Post subject: Reply with quote  Mark this post and the followings unread

fn(z)=z^2+sin(c)


Mandelbrot-14.pch2
 Description:
fn(z)=z^2+sin(c)

Download
 Filename:  Mandelbrot-14.pch2
 Filesize:  1.47 KB
 Downloaded:  803 Time(s)


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JLS



Joined: Nov 05, 2005
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PostPosted: Sun Feb 04, 2007 8:01 am    Post subject: Reply with quote  Mark this post and the followings unread

fn(z)=z*sin(z)+c


Mandelbrot-15.jpg
 Description:
fn(z)=z*sin(z)+c
 Filesize:  35.46 KB
 Viewed:  16550 Time(s)

Mandelbrot-15.jpg



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