Mandelbrot Set

[JLS]

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 )

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Mandelbrot-1.pch2
Description:	z=(z*z)+c	Download (listen)
Filename:	Mandelbrot-1.pch2
Filesize:	1.28 KB
Downloaded:	1935 Time(s)

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Mandelbrot-1.pch2
Description:	z=(z*z)+c	Download (listen)
Filename:	Mandelbrot-1.pch2
Filesize:	1.28 KB
Downloaded:	1842 Time(s)

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[JLS]

sorry duplicate file my first multi post

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Mandelbrot-2.pch2
Description:	z=sin(z*z)+c	Download (listen)
Filename:	Mandelbrot-2.pch2
Filesize:	1.36 KB
Downloaded:	1773 Time(s)

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Mandelbrot-3.pch2
Description:	z=c*z(1-z)	Download (listen)
Filename:	Mandelbrot-3.pch2
Filesize:	1.39 KB
Downloaded:	1752 Time(s)

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[ian-s]

Very nice, thank you.

[JLS]

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

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Mandelbrot-4.pch2
Description:	z=z*z+c+sin(z)	Download (listen)
Filename:	Mandelbrot-4.pch2
Filesize:	1.37 KB
Downloaded:	1758 Time(s)

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[JLS]

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

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Mandelbrot-5.pch2
Description:	z=c*z+(1-c)*z*z	Download (listen)
Filename:	Mandelbrot-5.pch2
Filesize:	1.44 KB
Downloaded:	1767 Time(s)

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Mandelbrot-5.pch2
Description:	z=c*z+(1-c)*z*z	Download (listen)
Filename:	Mandelbrot-5.pch2
Filesize:	1.44 KB
Downloaded:	1767 Time(s)

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[JLS]

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

sorry

[JLS]

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

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Mandelbrot-6.pch2
Description:	z=c*z+(1-c)*sin(z)	Download (listen)
Filename:	Mandelbrot-6.pch2
Filesize:	1.5 KB
Downloaded:	1788 Time(s)

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[JLS]

please help me make basic divider

z=x/y

very thanks

[mosc]

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

[JLS]

Thanks help Mosc

[blue hell]

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

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.

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mandc-1.pch2
Description:	Another mandelbrot patch	Download (listen)
Filename:	mandc-1.pch2
Filesize:	2.17 KB
Downloaded:	2711 Time(s)

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[JLS]

Blue Hell thanks mathematical theory and patch

My new set is Newton Julia fractal

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

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Mandelbrot-7.pch2
Description:	fn(z)=2z^3+1/3z^2	Download (listen)
Filename:	Mandelbrot-7.pch2
Filesize:	1.55 KB
Downloaded:	1685 Time(s)

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[JLS]

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

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Mandelbrot-8.pch2
Description:	z=(z*z)+c with range detection	Download (listen)
Filename:	Mandelbrot-8.pch2
Filesize:	1.43 KB
Downloaded:	1591 Time(s)

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[JLS]

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

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Mandelbrot-9.pch2
Description:	Basic algo z=(z*z)+c with range detection and dynamic "c" for more complexity	Download (listen)
Filename:	Mandelbrot-9.pch2
Filesize:	1.55 KB
Downloaded:	1494 Time(s)

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[JLS]

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

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sin(z^2+c)^2.jpg
Description:
Filesize:	57.39 KB
Viewed:	49859 Time(s)

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[JLS]

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

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sin(z^2+c)^2.pch2
Description:	z=sin(z^2+c)^2	Download (listen)
Filename:	sin(z^2+c)^2.pch2
Filesize:	1.51 KB
Downloaded:	1501 Time(s)

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sin(z^2+c)^2.pch2
Description:	z=sin(z^2+c)^2	Download (listen)
Filename:	sin(z^2+c)^2.pch2
Filesize:	1.51 KB
Downloaded:	1614 Time(s)

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[JLS]

sorry dual post

[JLS]

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

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sin(z^2+c)^zi.jpg
Description:
Filesize:	51.22 KB
Viewed:	49854 Time(s)

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sin(z^2+c)^zi.pch2
Description:	z=sin(z^2+c)^zi zi=(z^2+c)	Download (listen)
Filename:	sin(z^2+c)^zi.pch2
Filesize:	1.5 KB
Downloaded:	1551 Time(s)

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[darwen]

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.

[JLS]

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

I fascinating on fractal geometry

Kamil

[mosc]

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.

[JLS]

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

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Mandelbrot-13.pch2
Description:	fn(z)=sin((z^2+c)^(z^2+c)) same equation like previous patch but with better sinus function	Download (listen)
Filename:	Mandelbrot-13.pch2
Filesize:	1.54 KB
Downloaded:	1652 Time(s)

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[JLS]

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

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Mandelbrot-14.jpg
Description:
Filesize:	52.5 KB
Viewed:	49521 Time(s)

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[JLS]

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

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Mandelbrot-14.pch2
Description:	fn(z)=z^2+sin(c)	Download (listen)
Filename:	Mandelbrot-14.pch2
Filesize:	1.47 KB
Downloaded:	1895 Time(s)

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[JLS]

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

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Mandelbrot-15.jpg
Description:	fn(z)=z*sin(z)+c
Filesize:	35.46 KB
Viewed:	49357 Time(s)

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