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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

41. Blazingfire Cards
A collection of illustrations and photographs featuring angels, dragons, fantasia, fractals, kaleidoscopes as well as birthdays, love and sympathy. Includes selection of poems, music, java effects and backgrounds.
http://blazingfire.net/Home.html

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42. Visual Music, Fractals, Computer Graphics Fine Arts Prints In Limited Editions
computer. What you see is a literal rendering of the tune. Musicmade manifest to the eyes. fractals The visual art of fugue. A
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
Contact Home

43. Fractal Links - Amazing Seattle Fractals!
Fractal music Lab Fractal music Software, Fractal Museum Store Fractalart, gifts etc. The Fractal music Forum Fractal music EGroup.
http://www.fractalarts.com/ASF/Fractal_Links.html
Amazing Seattle Fractals! Home Fractal Art Galleries Fractal Tutorials Fractal Of The Week ... About Fractal Links I've included many resources on this page if you are looking for more information on fractals, including other fractal artists, tutorials or more information about fractals in general. If you are looking for fractal software programs check out my software page. Enjoy! Seattle Fractals Digital Art If you are interested in any of my art prints or downloading any of my screensavers for a free evaluation, you can find them here. High resolution art prints, fractal art galleries, fractal screensavers, custom made to order screensavers and more! Link Spectrum Fractal Tutorials and Related Links Fractal Types Explantions and illustrations of various types of fractals. UF Spiral Tutorial Dr. Joseph Trotsky's excellent tutorial on creating the classic fractal spiral form as well as other helpful UF info. He has also written helpful info on the program Fractal Explorer. Janet Parke Preslar's excellent tutorials on using the Ultra Fractal Program. Prof. John Matthew's

44. Fractals
But there is something defeatistic in denying the possibilities of actually usingfractals in music while admiring the PeitgenRichter pictures for their
http://www.notam02.no/~rolfwa/Fractalarticle.html
Rolf Wallin:
Fractal Music - Red Herring or Promised Land?
or "Just Another of those Boring Papers on Chaos"

Lecture given at the Nordic Symposium for Computer Assisted Composition
Stockholm 1989
(Oops - seems that the references to illustrations don't refer to any illustrations... sorry...)
If the Vietnam war was the first TV war, the so-called Chaos theory must be the first commercially available scientific revolution, brought to a large public step by step. Chaos, fractals, Mandelbrot Sets, strange attractors, Cantor dust - these and some dozens other magical words have totally invaded popular science magazines during the 80's, accompanied by glossy colourprints of strange, disturbingly organical computergenerated shapes.
However, this is just the shiny facade of a revolution that has left the international community of scientists of most diciplines at first totally dumbfounded by seeing central parts of their theoretical basis crumble, then completely frantic to investigate to what extent these scientific Columbi eggs can be applicable on their particular field. Fluid mechanics, geology, medicine, meteorology, in most fields many unsolvable problems have been solved by applying some part of this manyfaceted and bewildering bag of theories. Visual artists has also been attracted by the organical shapes that appear on the computer screens.
So how about Music? Will fractal mathematics come to rescue in a time of apparent stagnation, this time in the guise of simple mathematical algorithms that yield delicious patterns that can be further processed, either as succession of musical events or as complex frequency spectra? The attempts to find an answer to this has barely begun. In the field of music the answers are not as selfevident as for the visual field. But this can actually turn out to be an advantage, if not technically, then at least aesthetically.

45. BUBL LINK / 5:15 Internet Resources: Fractals
Author Larry Solomon Subjects computer music, fractals, music composition, musictheory DeweyClass 781.3 ResourceType documents Location usa Last checked
http://bubl.ac.uk/link/f/fractals.htm
BUBL LINK / 5:15 Catalogue of Internet Resources Home Search Subject Menus A-Z ... About
Fractals
A-Z Index Titles Descriptions
  • Center for Polymer Studies
  • Chaos Hypertextbook
  • Complexity International
  • Fractal Music Project ...
  • WWW Virtual Library: Complex Systems Page last updated: 17 March 2003 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:
    ResourceType:
    guides
    Location: usa
    Last checked:
    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: Glenn Elert
    Subjects: chaos, fractals
    DeweyClass:
    ResourceType:
    documents, images Location: usa Last checked:
    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
  • 46. Efg's Technical Book Store -- Fractals & Chaos
    fractals for the Classroom Introduction to fractals and Chaos, 1566701058_m.gif(10105 bytes), fractals in music Introductory Mathematics for musical Analysis.
    http://www.efg2.com/Lab/TechBooks/FractalsAndChaos.htm
    Also see Mathematics
    Click on Book Cover (or Title) for More Information or to Order
    by Benoit Mandelbrot
    Reprint March 2000 Fractal Horizons: The Future Use of Fractals
    Cliff Pickover

    Cliff Pickover
    Computers, Pattern, Chaos and Beauty: Graphics from an Unseen World ...
    Cliff Pickover

    see efg's 2nd place entry on pp. 238-239 Computers and the Imagination
    Cliff Pickover

    see efg 's
    "Glynn Function" on pp. XX, 395 ) Mazes for the Mind: Computers and the Unexpected Cliff Pickover see efg 's "Glynn Function" on plate before p. 173) Fractal Functions, Fractal Surfaces, and Wavelets Fractals for the Classroom: Introduction to Fractals and Chaos ... Fractals in Music: Introductory Mathematics for Musical Analysis No longer available Complex Systems: From Biology to Computation Strange Attractors: Creating Patterns in Chaos ... Fractals: Endlessly Repeated Geometrical Figures Updated 18 Feb 2002 since 24 Dec 1998

    47. Fractal Questions And Answers - Fractal Music
    Fractal music. A IBMPC program for fractal music is available by ftp to spanky.trimf.ca128.189.128.27 in pub.fractals.programs.ibmpc WTF20.ZIP. Go Back Up
    http://www.softlab.ntua.gr/miscellaneous/faq/fractal/faq-doc-14.html
    Fractal music
    Go Back Up Go To Previous Go To Next

    48. Fractals
    Read the learn more and how the fractals are generated sections. Create SomeFractal music. Visit Fractal music to begin learning about fractal music.
    http://annettelamb.com/42explore/fractal.htm
    The Topic:
    Fractals Easier - A fractal is a shape, often drawn by a computer, that repeats itself in a pattern. The design shapes usually reoccur in different sizes. Harder - Fractals are endlessly repeating patterns that vary according to a set formula, a mixture of art and geometry. Fractals are any pattern that reveals greater complexity as it is enlarged A real-life example of fractals is ice crystals freezing on a glass window. You can see countless variations of the same pattern emerge in the crystals over time.
    Exploring Fractals (Grades 9-12) by M.A. Connors
    http://www.math.umass.edu/~mconnors/fractal/fractal.html This website explores fractal dimensions of strictly self-similar fractals, from Cantor Dust to the Fractal Skewed Web. Includes a teacher information section. Related Websites: 2) Fract-ED (Grades 8 and Above) http://www.ealnet.com/ealsoft/fracted.htm

    49. Mathematics Archives - Topics In Mathematics - Art & Music
    MusiNum The music in the Numbers ADD. KEYWORDS fractals, Sounds, Software; NativeAmerican Art LOGO Style SOURCE Kathryn Ernie, University of Wisconsin
    http://archives.math.utk.edu/topics/artMusic.html
    Topics in Mathematics

    50. Mathematics Archives - Topics In Mathematics - Fractals
    ADD. KEYWORDS Tutorials, Gallery, Fractal music, Bibliography, Software,Newsgroups; FractED ADD. Fractal music Project ADD. KEYWORDS
    http://archives.math.utk.edu/topics/fractals.html
    Topics in Mathematics Fractals

    51. Fractal Composition__I Write The Music
    Unusual music The music of fractals musical representation of fractal equations. Fractalmusic enthusiasts are encouraged to publish their works here.
    http://iwritethemusic.com/fractalcomp.html
    MUSIC RESOURCES FOR COMPOSERS FRACTAL COMPOSITION
    I WRITE THE MUSIC.com
    CD
    DVD SACD VHS ... Click Here For NEW RELEASES!! Rock Alternative Pop Dance/DJ ... Christian I Write The Music Pages
    A
    B C D ...
    Music Software Directory
    FRACTAL COMPOSITION Unusual Music - The Music of fractals Fractal Music Project MusicMoz FractalVibes ...
    Music Software Directory

    I Write The Music Pages
    A
    B C D ...

    sitemakers web design development

    52. Fractal Music ST
    Contact Fractal music ST. By Chris Sansom. Fractal music ST. The program uses a cyclical,iterative process from fractals to generate monophonic lines of music.
    http://tamw.atari-users.net/fractmus.htm
    Home FAQ Music Software ... Contact
    Fractal Music ST
    By Chris Sansom
    Fractal Music ST By Chris Sansom
    Released as Freeware October 2001 In the late 1980's a certain Chris Sanson developed an unusual program for the Atari platform called Fractal Music ST. It was sold thru a company called Datamusic which was founded by Laurence Glazier, an experienced computer programmer. Today, Chris and Laurence have agreed to a Freeware release of this excellent program. I am also happy to report that Fractal Music ST works well in STEem, the Atari Emulator for PC. I have also tested it on a Falcon and TT030,which means it is 030 compatable. There are so many things you can do with this program. One novel approach is to import a Midi file and use the programs many algorithms to permutate the music.You can also save what you create as a midi file for importing into your sequencer of choice. What follows now is information and more detail about the program. Datamusic's FRACTAL MUSIC ST FRACTAL MUSIC is a MIDI program for the Atari ST range of computersa powerful Real-time music generator and processor written by Chris Sansom, a composer experienced in music ranging from pop songs to advanced contemporary orchestral music, with critical and technical advice from Laurence Glazier, an experienced computer programmer and the founder of Datamusic. As a music generator, FRACTAL MUSIC: Produces billions of different musical combinations from Fractal Mathematics according to parameters set by the user; Incorporates Randomisable parameters; Has 16 tracks. The program uses a cyclical, iterative process from Fractals to generate monophonic lines of music. The process is 3-dimensional, affecting the pitch, placement in time and key velocity of each new note. The result is REAL MUSIC with melodic, rhythmic and dynamic interestincluding rests! Recognisable near-repetitions of musical shapes occur frequently, lending extra validity to the musical output. It is possible for the user, by judicious setting of parameters (and with the editing features described below), to produce subtle variations on the same music in a number of different ways.

    53. FRACTAL MUSIC COMPOSER
    In nature, music and fractals there is a happy blend of form and irregularity,structure and surprise, or, if you prefer, theme and variation.
    http://tamw.atari-users.net/fmc.htm
    Home FAQ Music Software ... Contact
    Fractal Music Composer
    By Hugh McDowell
    Fractal Music Composer
    Version 2
    By Hugh McDowell Hugh McDowell has produced a new version of his FRACTAL MUSIC COMPOSER program. In the First Incarnation (which is widely available on most Atari FTP sites) it was a set of 3 seperate programs that ran independantly of each other. In this "new" incarnation, he has combined these programs to form one composite application with many new functions and features. I am now happy to announce the FREEWARE release of Fractal Music Composer. Hugh managed to find the sourse code and give us an "unbridled" version of his program for all to enjoy. SYSTEM REQUIRMENTS FRACTAL MUSIC COMPOSER will work on all Atari computers: 520St,1040St, Ste, TT030. and since it does work on the TT, it probalbly will work on a Falcon. ST medium Res and ST HI Res. It is most impressive in St medium because of the color involved in the mandelbrot Images. However you will need to set your prefered colors in the CONTROL.ACC (supplied in the ZIP)It looks best in "reversed" display: that is Black background with White or "yellow" highlight. However the display on a Monochrome is still good.(St Hi) FRACTAL MUSIC COMPOSER(2) has three main parts: * MANDELBROT ZOOM PROGRAM is for exploring the Mandelbrot set, and, in the full version of the program, allows fractal Plots to be saved, output to a printer, and used to create music with FRACTAL MUSIC COMPOSER.

    54. BrainWave Entrainment Via Music, Fractals And Binaural Beats - LucidQuest -
    Brain wave entrainment, binaural beats fractal music, where art science mergeto deliver methods designed to Unlock the Sublime Potential of Your Mind.
    http://lucidquest.com/
    to deliver methods designed to Unlock the Sublime Potential of Your Mind Home SoundScapes CDs Contact ... Chat Forum Brain waves - Binaural - Fractal - Mind Enhancement - Meditation - Lucid Dreaming - mp3 - inquires and correspondence click here The mind is a bafflingly complex machine.
    Yet at its 'heart' lies a perfect simplicity. Inside of you, approximately 10 billion neurons communicate with another
    through more than 100 trillion synaptic connections! These connections give
    rise to the networks that provide the cellular basis for your memory, learning and
    ultimately consciousness! Consider the unfolding of the cosmos, the spin of our solar system, a crackle
    of thunder or even the light you see now. Each of these are a manifestation of
    waveforms and harmonic patterning. Your brain is no different. Your very consciousness is a product of multiple
    frequencies and harmonic patterning. Currently, I'm developing music (a.k.a. waveforms and harmonic patterning) to
    deliver a listener into focused states of awareness based on the application
    of the following frequencies.

    55. Fractal Geometry Panorama
    compositions. fractals and music is another aspect of this relationship,though as some argue, more farreaching than most. Some
    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

    56. Fractal Geometry Panorama
    In response to the question of how he used fractals in his music, Ligetireplied, fractals are patterns which occur on many levels.
    http://classes.yale.edu/fractals/Panorama/Music/Ligeti/Ligeti.html
    Gyorgy Ligeti
    Available soon

    57. Software
    Contains several galleries of fractal images, wallpapers, fractal music, anddiscussions on fractals as art. Fractal music ~ v1.9 ~ Win9x/Me ~ 1.75 Mb.
    http://www.fractovia.org/fractal_generators/music01.shtml
    t h i r d . a p e x . t o . f r a c t o v i a NAVIGATE en-trance
    home

    galleries

    wallpapers
    ...
    portal
    VISIT...
    Fractovia's galleries
    in the Passaway THIS SECTION Fractal generators
    Free software to explore the fractal universes. go
    Utilities
    Complementary utilities to work with generators. go
    Music Convert fractal parameters into musical notes. go Screen Savers Ever changing fractal imagery for idle times. go JAVA Online Java fractal generators for a quick try. go Software sites Visit other fractal-related software collections. go BeOS A fractal generator for BeOS (my other OS) is XaoS. Click here to get it. E-List All-purposes freeware recommendations. [ go Symbols in use: screenshot download FRACTAL MUSIC 1:2 fractal music: Cellular Automata Music Generator (CAMUS) ~ v2.0 ~ Win9x/Me ~ 363 Kb author: Glasgow University Centre for Music Technology, Tim Conrardy Home page: http://tamw.atari-users.net/camus.htm CAMUS is based on a program originally created by Eduardo Reck Miranda in 1991 for the Atari computer. This Win9x version uses the cellular automata algorithm to generate musical notes using two parallel windows: the Game of Life, and the Demon Cyclic Space. Last revision: Chaos von Eschenbach ~ v1.10 ~ Win9x/Me ~ 363 Kb

    58. Software
    Contains several galleries of fractal images, wallpapers, fractal music, and discussionson fractals as art. Last revision 1995. fractal music 1 2.
    http://www.fractovia.org/fractal_generators/music02.shtml
    t h i r d . a p e x . t o . f r a c t o v i a NAVIGATE en-trance
    home

    galleries

    wallpapers
    ...
    portal
    VISIT...
    Fractovia's galleries
    in the Passaway THIS SECTION Fractal generators
    Free software to explore the fractal universes. go
    Utilities
    Complementary utilities to work with generators. go
    Music Convert fractal parameters into musical notes. go Screen Savers Ever changing fractal imagery for idle times. go JAVA Online Java fractal generators for a quick try. go Software sites Visit other fractal-related software collections. go BeOS A fractal generator for BeOS (my other OS) is XaoS. Click here to get it. E-List All-purposes freeware recommendations. [ go Symbols in use: screenshot download FRACTAL MUSIC 2:2 fractal music: Make Prime Music 98 ~ v1.1.3.2b ~ DOS ~ 105 Kb author: Armand Turpel Home page: http://www.2357.a-tu.net/ This program creates midi files from prime numbers. Just input a prime number and a new MIDI file will be automatically created and saved to your hard disk or wherever you installed the program. You can change some parameter values (tempo, volume, size, note range, method, instruments and some more) modifying the mpmusic.ini file. Run in a windowed DOS session. Last revision: Mandelbrot Music Program ~ Win9x/Me/NT ~ 542 Kb author: Yo Kubota Home page: http://www.fin.ne.jp/~yokubota/

    59. ArtSong - Download ArtSong - ArtSong Is A Music Composition Toolfractal, Fractal
    ArtSong ArtSong is a music composition tool - fractal, fractals, chaos, attractors,fractal music, chaos music, music software, composition software, MIDI
    http://www.popularshareware.com/ArtSong-transfer-2514.html
    document.title=document.title.substring(0,document.title.indexOf(' - ')) + ' download page - PopularShareware.com' Home Submit Contact Games ... ArtSong Description
    ArtSong 5.05
    Download Buy Now Category: Music Creation Name: ArtSong Rating: pick pop Downloads: File Size: 11.82 MB OS: Windows 95/98/Me/NT/2000/XP License: Free to try,$59.95 to buy Date Added: Wednesday, February 26, 2003 Screenshot: Screenshot Publisher: Website ArtSong is a Free to try program. You can download and try it for an evaluation period. ArtSong Description From the Developer:
    ArtSong is a music composition tool
    ArtSong is a unique music composition tool that combines algorithmic composition with computer-aided composition techniques. Instead of using traditional music notation to specify musical structures, ArtSong provides algorithmic 'building-blocks'. After you select and configure the 'building-blocks' and specify their properties ArtSong's composition engine will implement your decisions. The resulting compositions are your original compositions Keywords for ArtSong
    ArtSong
    download ArtSong , fractal, fractals, chaos, attractors, fractal music, chaos music, music software, composition software, MIDI, fractal programming, algorithmic composition, generative software, computer music, experimental music, ArtSong 5.05

    60. Fractal Music
    Subject Fractal music. Q14 What are sources of fractal music? A14 htmlThere is now a Fractal music mailing list. It s purposes are
    http://fractals.iut.u-bordeaux1.fr/sci-faq/music.html
    Subject: Fractal music
    : What are sources of fractal music? : One fractal recording is "The Devil's Staircase: Composers and Chaos" on the Soundprint label. A second is "Curves and Jars" by Barry Lewis. You can contact MPS Music & Video for further information: Rosegarth, Hetton Road, Houghton-le-Spring, DH5 8JN, England or online at CDeMUSIC ( http://www.emf.org/focus_lewisbarry.html Does anyone know of others? Mail me at fractal-faq@mta.ca Some references, many from an unpublished article by Stephanie Mason, are:
  • R. Bidlack, Chaotic Systems as Simple (But Complex) Compositional Algorithms, Computer Music Journal , Fall 1992. C. Dodge, A Musical Fractal, Computer Music Journal 12, 13 (Fall 1988), p. 10. K. J. Hsu and A. Hsu, Fractal Geometry of Music, Proceedings of the National Academy of Science, USA 87 (1990), pp. 938-941. K. J. Hsu and A. Hsu, Self-similatrity of the '1/f noise' called music., Proceedings of the National Academy of Science USA 88 (1991), pp. 3507-3509. C. Pickover
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