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         Fractals & Music:     more detail
  1. Fractals in Music: Introductory Mathematics for Musical Analysis Second Edition (Inmusic) (Inmusic) (Inmusic) by Charles Madden, 2007-04-23
  2. Music and Mathematics: From Pythagoras to Fractals
  3. Fractal Music, Hypercards and More Mathematical Recreations from "Scientific American" by Martin Gardner, 1991-11-30
  4. Music And Mathematics: From Pythagoras To Fractals by Raymond Flood, Robin Wilson, Robin J. Wilson John Fauvel, 2003
  5. Formalised composition on the spectral and fractal trails (Skrifter fran Musikvetenskapliga institutionen, Goteborgs Universitet) by Magnus Eldenius, 1998

21. Cecdiscuss: The International Electroacoustic Community Discuss
Next message TodorTodoroff Re fractals in music ; Previous message BarryTruax Re Granular Synthesis (the duo) ; In reply to Julia Dmitrioukova
http://alcor.concordia.ca/~kaustin/cecdiscuss/1999/2582.html
Re: fractals in music
Subject: Re: fractals in music
From: Dennis Miller ( dennismi@lynx.dac.neu.edu
Date: Wed Nov 17 1999 - 21:48:47 EST In response to the request for info on fractals:
There is an article from Electronic Musician about fractals online at
http://www.emusician.com/archive/9910/columns/square
one
It is introductory, but very well edited (I edited it :-)
d.
This archive was generated by hypermail 2b27 Wed Jun 11 2003 - 13:09:13 EDT

22. Chaos Theory, Fractals, Animation, Music Videos As A Scientific Experiment In Li
A free educational science, music, arts and entertainment site where you candownload free music videos of fractals in MPEG, MPEG2, DVD, DivX/MPEG4,
http://gawain.membrane.com/multimedia/classic_fractal_animation/
Fractal Animation Music Videos
These music videos are an experiment with extemporaneous music and the chaos theory.
Singles
Collections
More Chaos Extemporaneous Music
Sidd's Science Center
Multimedia Special Of The Moment
Local Multimedia
http://membrane.com/

23. Computer Music Journal - REVIEW: 'Fractals In Music: Introductory Mathematics Fo
The MIT Press online catalog contains descriptions of inprint and out-of-printbooks, current and past journals, online ordering/subscription options,
http://mitpress.mit.edu/catalog/item/default.asp?ttype=6&tid=2287

24. Music & Research Links: Nonlinear Science And Fractals
Strange music Archives Fractal music, Mandelbrot Chaffey Fractal music Don Archer Udraw fractals (with fractal music). TOP - MIDDLE - BOTTOM
http://members.aol.com/dspondike/mnr/mnrfractal.html
Try these links
(Table of Contents at bottom of page if not viewing in frames) TOP MIDDLE BOTTOM
Easy Tutorials

25. Don Archer Digital Art
Traditional fractals, music, fractals combined with verse. Photo of BenoitMandelbrot taken April 6, 2001.
http://www.donarcher.com/
Wednesday, 9/21/2005 , 3:31:15 PM ET, Brooklyn and Prattsville, NY
Updated September 21, 2005 This site is an exercise in love, vanity and art. It includes my current images,
vintage fractals, animations, fractal music, ceramic tiles,
digital photographs, digital postcards, and more... There are 5 viewers online now. Enjoy!
And thanks for visiting! COLLECTION 2004 Gallery I
December 2004
Gallery II
Oct-Nov 2004
...
January-June 2004
COLLECTION 2003
Gallery I

January-June 2003
Gallery II
July-December 2003
COLLECTION 2002 Gallery I January-June 2002 Gallery II July-December 2002 ... VERSE VINTAGE FRACTALS Fractal Zoo, Part 1 Fractal Zoo, Part 2 Fractal Camera Black and white ... Faultline fractals COLLECTION 2005 In Retrospect August 2005 Theme and Variations June-July 2005 ... April 2005 Virtual Portraits March 2005 February 2005 HTML FORMAT FLASH SLIDESHOW January 2005 HTML FORMAT FLASH SLIDESHOW COLOR SHIFT ANIMATIONS Don Archer, director CREDITS
  • Online ABS gallery 2001-2003 crowns me "fractal guru" and publishes comprehensive exhibit of my art.
  • Print art included in the collection of Ball State University Art Museum, Muncie, IN.

26. Unusual Music Friends And Associates
Here you will find fractal music tools and fractal music files. For even morechaos in your life Don Archer s Fractal Art And music And UDraw fractals
http://users1.ee.net/pmason/music5.html
UNUSUAL MUSIC
The Work of Friends and Associates
Fractal Music Lab:
Experiments in Fractal Music Composition
David T. Strohbeen's web site covering fractal-based music composition methods. Here you will find fractal music tools and fractal music files. For even more chaos in your life download his Chaos Music Screen-Saver for Windows 95/NT MusiNum - The Music in the Numbers MusiNum is a wonderful program provided as freeware by Lars Kindermann . At his interactive site you can try out his program and download it for use on your own computer. Most of the music on this site was composed using MusiNum. Fractal Vibes Phil Jackson offers a great selection of fractal music he created using a number of different programs. Check out his "Make-A-Midi" input form , fill it out, and Phil will create music to your specs and post it on his site. For example I composed Usrmn46c.mid with Phil's help. Visual representations of the fractals accompany many of his songs in the Galleries. Organised Chaos
Phil Thompson's Fractal Music
Phil calls his site "a gothic sci-fi fractal extravaganza" and he's not kidding! The site itself is a work of art.

27. [music-dsp] Fractals
musicdsp fractals. music-dsp@ceait.calarts.edu music-dsp@ceait.calarts.edu ThuMay 15 233900 2003. Previous message music-dsp fractals
http://aulos.calarts.edu/pipermail/music-dsp/2003-May/023537.html
[music-dsp] Fractals
music-dsp@ceait.calarts.edu music-dsp@ceait.calarts.edu
Thu May 15 23:39:00 2003 You're absolutely right, playing around with wierd ideas is the best way to gain understanding and have fun at the same time; didn't mean to discourage you. Google for Chua's oscillator - it does still exist. For example: http://www.zainea.com/fractalmus.htm On Thu, 2003-05-15 at 20:31, koen vos wrote: very funny. You people are just old farts ain't yah. Don't remember when you were new to things and just learning. Thought you could change the world. Make a difference in the world. Dream. Hope. Overcome. Become rich and famous. Yeah, right. Have you tried playing with them though? I'm not anticipating making some thing that actually works, but I have copious free time and I might as well screw around with some fractals and see what I can do with them. Any links would be handy dandy, but I think I'm just being crazy and won't achieve anything with them.

28. Fractals As Art-TATC
Don Archer s Fractal Art and music An impressive site which, in addition to manypages of interesting fractal images, features fractal music and Udraw
http://www.artteacherconnection.com/pages/fractal.htm
Fractals- A great combination of Art and Math
Visual Arts Standard 4-5th
6. Content Standard:Making connections between visual arts and other disciplines
b. describe ways in which the principles and subject matter of other disciplines taught in
the school are interrelated with the visual arts
Content Standard: Using knowledge of *structures and functions
a. generalize about the effects of visual structures andfunctions and reflect upon these effects in their own work
b. employ organizational structures and analyze what makes themeffective or not effective in the communication of ideas
Images by the Fractal Lady Fractals are amazing mathematical patterns that repeat in a special way. The discovery of these kinds of patterns opened a whole new area of mathematics. Here are some links for children and teachers to help you get started. A Fractals Unit for Elementary and Middle School Students by Cynthia Lanius FRACTALS UNLEASHED KIDS ZONE . Hey, Kids!! You have reached the. Fractals Unleashed Kids Zone, a place where you will learn some cool stuff about fractals! Art Related Items Fractals in the Schools Foundation This site is creating educational program to teach kids about fractals and chaos theory.Great gallery here.

29. Chaffey's Fractals - Music
This is Chaffey High School s Fractal Links Page. It was started in Summer 1995,by Gabriel Barbosa and L. Edward Wasserman. Please DO NOT copy our Page.
http://www.chaffey.org/fractals/music/
Chaffey High School's FRACTALS on the Web
http://www.chaffey.org/fractals/ Fractal Music Links
Last Updated February 28, 2003 The Fractal Music Project
http://www-ks.rus.uni-stuttgart.de/people/schulz/fmusic/

At the University of Stuttgart, Germany Fractal MIDI Music Here!
(hold SHIFT+click to download)
This is a .ZIP that contains a small collection of fractal MIDI music that was created by DT Strohbeen. Fractal Music LAB
http://members.aol.com/strohbeen/fml.html

by DT Strohbeen MIDI Piece - 'Fractal Window I'
http://sprott.physics.wisc.edu/newpc1.htm

Experiments in Fractal Music
http://www.ozemail.com.au/~davesag/snd.html ... Dave Sag in Australia Hearing the Mandelbrot Set http://www.vanderbilt.edu/VUCC/Misc/Art1/Sonify/Mandi.html by Brian Evans at the Vanderbilt University, located in Nashville, Tennessee Sonic'sFractal Sounds http://www.galivant.com/~tjustman/sonic.htm Sonic Fractal conducts aural experiments in ambience and mood alteration. Symbolic Composer: "Composition Modelling " http://www-ks.rus.uni-stuttgart.de/people/schulz/fmusic/symbolic/mainpage.html his document describes the basic features of the Symbolic Composer professional. It is one of the richest music programming languages developed on a computer. Fractal Music by bojog http://www.bali-net.com/fracmus/

30. Fractals And Fractal Art
See and hear what can be done with fractals in music and Art; find out more aboutfractals; learn about the software used to create fractal art and music;
http://thinks.com/webguide/fractal.htm
Home Sites to See
Fractals and Fractal Art
  • AllisonArt's Cyberhome
    Great images by Linda Allison. Amazing Seattle Fractals! Doug Harrington's site has an online, step by step fractal tutorial, complete with screenshots to help people create their own fractal art. It also features fractal art galleries,fractal animations,free fractal software and a free fractal screensaver (rated by ZD Net as an Editor's Pick 5 Star Download). Doug's fractal art has been featured at M.O.C.A.(Museum of Computer Art) and has won several other site awards. Art Matrix Fractals
    A company producing fractal posters, postcards, slides, videos, etc. Don Archer's Fractal Art and Music
    An impressive site with many pages of interesting fractal images. Earl's Computer Art Gallery
    Fascinating images created by Earl Hinrichs using his own software. Fractal eXtreme
    Useful pages giving an introduction to fractal theory, and a gallery of images produced by the software. Fractal Gallery by Ken Keller
    Many stunning images, categorized as: Lucid Forms (fractals that are recognizable as everyday objects), Traditional Forms (fractals that do not greatly deviate from Magnification 1, or contain commonly found features within typical fractal formulas), Abstract Forms (fractals that seek to convey atmospheres, emotions and ideas). All images displayed may be purchased as prints. Fractalism
    The images in these galleries are snapshots from one artist's vision of a place he calls Fractal Land.

31. Stereophile: Music & Fractals
music fractals. John Atkinson, November, 1990 I would also add to Mr.Lambshead s hypothesis the statement that music itself is also pseudofractal.
http://stereophile.com/asweseeit/24/
John Atkinson, November, 1990
"Why do rhythms and melodies, which are composed of sound, resemble the feelings; while this is not the case for tastes, colors, or smells?"
-Aristotle I claim no originality for the following idea, which could possibly answer Aristotle's question (footnote 1); I first saw it expounded in a letter from one John Lambshead, published in the English magazine Hi-Fi Review (footnote 2). Nevertheless, it ties in so closely with my own experience of digital audio that it struck me like a satori. Before continuing, I should explain what is meant by the word "fractal." In a nutshell, although formal geometry deals with objects that are one-, two-, or three-dimensional in nature-mathematicians and astrophysicists are happy with objects that have more than the traditional three dimensions; just be glad you don't find one of these weird beings sitting next to you in a bar-there are objects that turn out to have a fractional dimensionality. Clouds, coastlines, the branch structure of trees, the body's blood vessels, for example, are objects or systems which are defined by between one and two or between two and three dimensions. The thing these mathematically peculiar things have in common is a self-referring nature, wherein their macroscopic features are echoed in their fine structure, which is further echoed in their microscopic features, and so on

32. ScienceDaily Books Music And Mathematics From Pythagoras To
Buy music and Mathematics From Pythagoras to fractals Books cheap. fractals inmusic Introductory Mathematics for musical Analysis (Inmusic (Salt Lake
http://www.sciencedaily.com/cgi-bin/apf4/amazon_products_feed.cgi?Operation=Item

33. ScienceDaily Books Chaos And Fractals
Buy Chaos and fractals Books cheap. school mathematics cannot understand it.After all, I used it as a primary reference for my book fractals in music!
http://www.sciencedaily.com/cgi-bin/apf4/amazon_products_feed.cgi?Operation=Item

34. BUBL LINK: Fractals
fractals provide interesting musical results and a new field of music research . Subjects computer music, fractals, music composition, music theory
http://bubl.ac.uk/link/f/fractals.htm
BUBL LINK Catalogue of Internet Resources Home Search Subject Menus Countries ... Z
Fractals
Titles Descriptions
  • Center for Polymer Studies Chaos Hypertextbook Complexity International Fractal Music Project ... WWW Virtual Library: Complex Systems
  • Comments: bubl@bubl.ac.uk
    Center for Polymer Studies
    Interdisciplinary research centre for aspects of polymer, random, and fractal systems which develops experimental and computational materials for school and undergraduate education.
    Author: Boston University
    Subjects: chemistry education, fractals, organic chemistry, polymers
    DeweyClass:
    Resource type: guides
    Chaos Hypertextbook
    An essay on chaos, fractals, and non-linear dynamics. Chapter headings include mathematical experiments, strange and complex, what is dimension and measuring chaos.
    Author: Elert, Glenn
    Subjects: chaos, fractals
    DeweyClass:
    Resource type: documents, images
    Complexity International
    A refereed journal dealing with any area of complex systems research and the generation of complex behaviour from the interaction of multiple parallel processes.
    Author: Charles Sturt University
    Subjects: chaos, complex systems, fractals, neural networks

    35. MuSoft Builders: Creating Music Out Of Fractals With A Musical Generator
    Create music out of fractals, numbers, your name or photo with a musical Generator.
    http://www.musoft-builders.com/

    Logo: Giaco Parkinson
    Home Register Support ... Contact Welcome visitor
    Welcome to MuSoft MuSoft is a developer of electronic composition, graphics and internet software. a Musical generator - creates music out of fractals, numbers, text and graphics. The music can also be converted to MIDI so that it can be played by other MIDI programs. A Musical Generator was chosen as product of the month in december 2002 and januari 2003 by the CNFractal Forum.
    Click at the products below for a description, preview and download. a Musical Generator CamCapture Try the beta of a Musical Generator (Version 3.1) Version 3.0 of a Musical Generator has been released ... What is CamCapture 1.1? Both a Musical Generator and CamCapture have been awarded an editor pick from ZDNet (PC Magazine) . For their review of a Musical Generator click on the logo above. We have added a (in Dutch and English ). It has been reviewed in NRC Handelsblad (a Dutch newspaper). Home Register Support Contributions ... MuSoft

    36. MuSoft Builders: Background Of A Musical Generator
    Create music out of fractals, numbers, your name or photo with a musical Generator . fractals. Another theoretical introduction to fractal music.
    http://www.musoft-builders.com/links/fractmus.shtml

    Logo: Giaco Parkinson
    Home Register Support ... Contact Welcome visitor
    Fractals and fractal music Fractals Fractal music

    37. Nanosounds.com Creates, Promotes And Computes Music Using Nanoscale Audio-engine
    This is achieved using molecular computing with cells, fractals and atom using cells, fractals and atom clusters to sequence, analyse and compose music
    http://www.nanosounds.com/wst_page2.html
    using cells, fractals and atom clusters to sequence, analyse and compose music Audio engineering with cells and atoms is a form of molecular computing. Molecular computing is a multidisciplinary research topic that originated in the School of Mathematical Sciences at Swinburne University of Technology Computational Nanotechnology Group original articles FRACTL_Remix_Gordon_Taylor : nanosounds 1.58 - JULY 2004 Remix of spoken word poetry - Gordon Taylor 10-track album mp3 samples - - cracked sky grind garden of torture PDF description of album Remixed using : the almost polar Sierpinski Gasket. FRACTL_Remix_Casionova - JULY 2004 Remix of music by Casionova 11-track album mp3 samples - - commodore 64 laula bicycle to finland this is not the future ... PDF description of album Remixed using : the almost polar Cantor Set

    38. Fractal Geometry Panorama
    fractals and music is another aspect of this relationship, though as some argue,more farreaching than most. Some contemporary composers explicitly use
    http://classes.yale.edu/fractals/Panorama/Music/Mus/Music.html
    Music
    Music and mathematics have a long and complicated relationship, from the Platonists' Music of the Spheres, through Bach's geometrical symmetries, to Cage's stochastic compositions. Fractals and music is another aspect of this relationship, though as some argue, more far-reaching than most. Some contemporary composers explicitly use fractals to guide their compositions (some student projects have pursued this direction, with varying degrees of success), others find fractal aspects in the works of great baroque and classical composers. Gardner Hsu and Hsu Ligeti 1/f Music ... Wuorinen

    39. CDeMUSIC
    Establishing a new genre of musical analysis, Charles Madden s fractals in music fractals in music is intended for advanced students of music theory,
    http://www.cdemusic.org/store/cde_search.cfm?keywords=historycriticism

    40. Visual Music, Fractals, Computer Graphics Fine Arts Prints In Limited Editions
    Soundscapes, Nutcracker, digital abstracts and unique fractals and computergraphics art available as archival, limited edition canvas prints.
    http://www.lightspace.com/finearts/gallery/gallery.html
    soundscapes
    The stuff of sound. Simple waves in the air when added together can create the sound of a wailing saxophone lament or soft soprano lullaby or these images. Nutcracker snowflakes
    Melodies from Tchaikovsky's Nutcracker Ballet rendered as colorful snowflakes, or as if captured in flight on a brisk winter's night. visual hymns
    Music made visible! Simple hymn melodies are modeled and visualized using a computer. What you see is a literal rendering of the tune. Music made manifest to the eyes. fractals
    The visual art of fugue. A return, after 14 years, to creating fractal images. The tools are too powerful, the images too fun. Wait'll you see a hi-res fractal 4 feet tall! Neva Marie
    The Infinite Heart Series. Neva is a virtual artist (a Ghost Artist) who explores symmetry, and it's resonances in the design of physical and spiritual worlds. Pier Luna
    Another Ghost Artist, Pier is developing a playful series of masks. Just for fun.
    Order
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