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         Fractals & Music:     more detail
  1. Fractal Music, Hypercards and More Mathematical Recreations from "Scientific American" by Martin Gardner, 1991-11-30
  2. Fractals in Music: Introductory Mathematics for Musical Analysis Second Edition (Inmusic) by Charles Madden, 2007-04-23
  3. Music and Mathematics: From Pythagoras to Fractals
  4. Fractal Music, Hypercards and More. Mathematical Recreations from Scientific Ame by Martin Gardner, 1992-01-01
  5. Fractal Music, Hypercards and More : Mathematical Recreations from Scientific Am by Martin Gardner, 1991-01-01
  6. Fractal Fantasy, the Art of Mathematics by Charles Fitch, Music by Michael Angelo Strasmich, 1987
  7. Music And Mathematics: From Pythagoras To Fractals by Raymond Flood, Robin Wilson, Robin J. Wilson John Fauvel, 2003
  8. Formalised composition on the spectral and fractal trails (Skrifter fran Musikvetenskapliga institutionen, Goteborgs Universitet) by Magnus Eldenius, 1998

61. Pictures Of Animals Cartoons Celebrities Fractals Movie Tv Music Senic Space Spo
Graphics of animals cartoons celebrities fractals movie tv musicsenic space sports and all types of vehicles.
http://www.playernet.net/file/graphics/
Home Download Menu Online Shopping Online Support ... Tell A Friend Public Only Animal Pictures Cartoons Pictures Music Pictures Cartoons II Pictures ... Comments,Suggestions,Etc...

62. Pictures Of Animals Cartoons Celebrities Fractals Movie Tv Music Senic Space Spo
Graphics of animals cartoons celebrities fractals movie tv music senicspace sports and all types of vehicles. About
http://www.playernet.net/file/kids/
About Home Download Menu Unlimited Internet Access About Home Download Menu Unlimited Internet Access ... Online Games

63. Arnold's Music Page. Links To Fractals, Composers And MIDI
Create music out of fractals, numbers, your name or photo with a musical Generator. Itcontains a large collection of fractals that you can use to create music.
http://www.xs4all.nl/~nollie/
Arnold's Music Page
Home
Musical Generator Composers MIDI sites ... Contact
Welcome visitor Welcome to my home page! You can download my shareware program, a Musical Generator . With it you can generate music from fractals, your pictures, texts, numbers or whatever. It contains a large collection of fractals that you can use to create music. If you have created some nice piece of music, you can share it with other persons by sending it to me. And last (and hope neither least) you can download my compositions Arnold Reinders
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64. AudioVisualizers Library Videos: Images Of Chaos
Images of Chaos fractals to music. Images of Chaos - fractals tomusic Industrial Street Productions 1993, 53 min Box says Let
http://www.audiovisualizers.com/library/catagory/reviews/imagesof/imagesof.htm
Images of Chaos - Fractals to Music Images of Chaos - Fractals to Music
Industrial Street Productions 1993, 53 min
Box says: Let Your Television Evolve:
Futurists, artists, and cyberpunks have long prophesied of the day when television would evolve into an active platform for art. In the future, they've said, we will use television and computers to turn our homes into 21st century galleries with ever-changing new images opening our minds to alternative worlds and new vistas. The future is now. Images of Chaos is a revolutionary gallery of images for the mind. Unlike anything seen before, the images are graphic incarnations of advanced mathematic formulas. You may discover surreal worlds or strange creatures in the images, but they have all been created entirely as the result of mathematics, "sculpted" by adjusting variables and formulas based on the groundbreaking science of Chaos. Featuring an original score by innovative composer Mark Wilson, Images of Chaos is a kaleidoscopic collection of fractal images. Think of it as a 21st Century lava lamp for your television.
Order Info: Industrial Street Productions, 8424A Santa Monica Blvd, Suite # 801, West Hollywood, CA, 90069. USA. (310) 652 6997.

65. AudioVisualizers: Video Library Category Listings: Fractals
fractals Fractasia fractals to Classical music Images of Chaos - fractals to musicPsychotronic CyberSpace - fractals hallway reception tools library
http://www.audiovisualizers.com/library/catagory/category/fractals.htm
Fractals
Fractasia
- Fractals to Classical Music
Images of Chaos
- Fractals to Music
Psychotronic CyberSpace
- Fractals
hallway
reception tools library ... school

66. Gallery,fractals,music Production Company,inez
fractals,computer music,digital art gallery,electronic art,ines reingold,inez,musicproduction company,YOCOMA is a Media Solutions and music Production Company
http://194.29.195.8/yocoma/galleryperf.html
INEZ -Performances
Audio MP3 Fragment of "Suction" from the suite "Metamorphosis"by Ines Reingold Audio MP3 Excerpt of "Transparent O!"by Ines Reingold Visit YOCOMA Fractal Gallery! Enjoy! "Trance"by Inez www.yocoma.com
Contact Us

67. Gallery,fractals,music Production Company,inez
fractals,computer music,digital art gallery,electronic art,ines reingold,inez,musicproduction company ,YOCOMA is a Media Solutions and music Production
http://194.29.195.8/yocoma/fractals_inez.html
Customize background!
Fractal Art by INEZ Bolero Between Con fuoco Trance Yellow Intuition www.yocoma.com
Contact Us

68. ENC: Curriculum Resources: MusiNum, The Music In The Numbers (ENC-011834, Brief
Furthermore, the connections between binary numbers, fractals, and music are discussed. fractals.Integrated/interdisciplinary approaches. Mathematics. music.
http://www.enc.org/resources/records/0,1240,011834,00.shtm
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... Ask ENC Explore online lesson plans, student activities, and teacher learning tools. Search Browse About Curriculum Resources Read articles about inquiry, equity, and other key topics for educators and parents. Create your learning plan, read the standards, and find tips for getting grants.
MusiNum, the music in the numbers
URL: http://www.forwiss.uni-erlangen.de/~kinderma/musinum/musinum.html
ENC#: ENC-011834
Edition: Version 2.0, beta 5. Windows.
Publisher: Bavarian Research Center for Knowledge Based Systems (FORWISS)
Date:
Grades:
Abstract:

This World Wide Web (WWW) site, developed by an artificial intelligence researcher in Germany, contains a free program enabling the user to create music by turning numbers into generative fractal music. Through this program, the user can investigate interactively a system that connects numbers to musical notes and can create unique, royalty-free music. Furthermore, the connections between binary numbers, fractals, and music are discussed. Links to other sites dealing with these topics are listed. Abstracted 08/98. (Author/JRS) Record Created: Last Modified: Learning tools and models; Resource materials; Study guides and tutorials; Internet resource.

69. Fractal Music
fractals and Their Use in music. Comm 141. The application of fractals in musicmay seem a bit odd at first, but music is actually highly mathematical.
http://www.unc.edu/~jimlee/JohnObrienFractalMusic.htm
Fractals and Their Use in Music
Comm 141
John O’Brien
Two years ago, at a summer electronic music workshop at Oberlin College in Ohio, I was presented with some of the most intriguing music I have ever heard. Initially, the music sounded like nothing more than noise, random short bleeps with no clear purpose or arrangement. I could not help but wonder why anyone would want to hear this ‘music’ and dismissed it as a failed attempt by someone wanting to be avant-garde simply for the sake of being avant-garde. I could not have been more wrong. A few days later I had the opportunity to hear another piece, The Voyage of the Golah Iota explained by its composer, Gary Nelson. While the music did not sound any better to me aesthetically at the time, I began to understand the reasons behind it and the concepts it worked under. Since that time I have come to learn more about this incredible method of writing music, and in the process have begun to develop an aesthetic taste for the music The music I am talking about is fractal music. Fractal music is based upon the mathematical concept of the fractal.

70. MuSoft Builders: Creating Music Out Of Fractals With A Musical Generator
Create music out of fractals, numbers, your name or photowith a musical Generator. a musical Generator.
http://home.wanadoo.nl/nollie/links/mu_gen.htm
a Musical Generator
Home
Musical Generator Composers MIDI sites ... Contact
A Musical Generator is a program that generates music from fractals, other mathematical functions, pictures, text and numbers. Version 1.2 is now available at the products page of my company: MuSoft Builders. Credits A Musical Generator is written in Borland Delphi. Its component-oriented outlook makes that a lot of software is available on the net. I have used some freeware components, which I found very useful. I would like to give the authors the credits they deserve and I have set links to their pages or download server. You can download my own units for writing MIDI files.

71. MuSoft Builders: Creating Music Out Of Fractals With A Musical Generator
Create music out of fractals, numbers, your nameor photo with a musical Generator. MIDI.
http://home.wanadoo.nl/nollie/links/midi.htm
MIDI
Home
Musical Generator Composers MIDI sites ... Contact
On this page have collected some interesting links to MIDI sites. Some have just MIDI files, others are links to other sites.

72. Fractals - Suite101.com
Lastly, let's look at an application of fractals fractal music The Sound of Chaos. Meet musicians who make fractal music and
http://www.suite101.com/article.cfm/science_surfing/92951
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73. Challenge Team Interim Report
fractals and music are similar from the perspective that both useset patterns to develop the ultimate outcome. Both fractals and
http://www.challenge.nm.org/Archive/97-98/interims/018.html

NEW MEXICO
HIGH SCHOOL
SUPERCOMPUTING
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Interim Report
Team Number: School Name: Bloomfield High School Area of Science: Mathematics Project Title: Fractal Images of Music Project Abstract: http://mode.lanl.k12.nm.us/97.98/abstracts/018.html Interim Report: http://mode.lanl.k12.nm.us/97.98/interims/018.html Final Report: http://mode.lanl.k12.nm.us/97.98/finalreports/018/finalreport.html The goal of our project is to write a program which would create fractal images with the aid of musical notes. Fractals and music are similar from the perspective that both use set patterns to develop the ultimate outcome. Both fractals and music can be easily manipulated through math and computers. One way to manipulate the music is through a program called MIDI. MIDI is a computer program in which you can, through manipulation techniques, alter existing music, or even create new music. Fractals are geometric patterns. These patterns are replicated within the original pattern an infinite amount of times. The more times a fractal is repeated within itself, the more complex and beautiful the overall pattern vbecomes. The simplest type of fractal which can be created on a computer is a self-similar fractal. A self-seimilar fractal image is repeated perfectly within itself. Geometric fractals created on a computer are obviously more predictable than those found in nature. One of the most predictable fractal images is the Stripinski Triangle. The Stripinski Triangle is a perfect equilateral triangle. The three vertices of this triangle, for our experiment, will be called B, A, and D. The letter B will be placed at the top of the triangle, the A in the lower left corner, and the D will be in the lower right corner.

74. The Music Of José Oscar Marques
Fractal compositions in general MIDI file format.Category Arts music Styles Experimental Fractal music...... authors of the software employed. TOP OF PAGE. About fractals and Fractalmusic (and a few links) Fractal geometry is a relatively
http://www.midiworld.com/c/jmarques.htm
The Strange Beauty of Fractal Music Fractals are abstract mathematical objects which, as such, cannot be seen or heard, but their structure can be used to model computer generation of images that may be visually very attractive. Fractal images have been popular for more than a decade, but I think we are just scratching the surface of the possibilities of fractal music. The compositions on this page aim to explore some of these possibilities, showing that recursive algorithms can be employed to create music of the same strange beauty as the richly decorated fractal picture at the side . The Music General Info Links About me The Music The pieces are listed newest first. They cover a variety of styles, since "fractal music" doesn't mean a musical genre but rather a method at the composer's disposal for his or her own expressive purposes. In the end, as it happens with any other method of composition, only the musical merits of the result should actually count. Three Canons March 1998 Old Stones October 1997 "Up the Beat", for jazz ensemble

75. Beauty Of Fractals
FractMus, a FREEWARE fractal music composer, written by Gustavo Diaz Jerez MuSoftBuilders Creating music out of fractals with a musical Generator Admits more
http://home.wtal.de/spiriteye/fractal/frlinks.html
Sites with software to generate fractal images
Fractint Homepage
The images in galleries 1-5 were produced with this ingenious tool
mctaylor: Fractal Archives

WELCOME TO A.M.G. HOME-PAGE
The color map generator of Paolo Guagliumi is a nice complement to FractInt
Iterations et Flarium24

Ultra Fractal: Advanced Fractal Software (current Version 3)
Starting with Gallery 6 I concentrated on UltraFractal
Quat 0.92 - Threedimensional Fractals from Quaternions

Fractal Explorer Homepage

Mark Hammond: Utility to generate coloring algorithms from bitmaps

Sites with information about Fractals or just to show them...
DIC's Fractals World
Fractals by Pat Bratina Fractint Homepage Index to Luke's Fractal material ... Infinite Fractal Loop I'm honored to be part of this truly amazing web ring Terry's Home Page The Crazy Fractals Home Page Sylvie Gallet's Fractal Gallery mctaylor: Fractal Archives ... Jacco's Fractal Pages I used gratefully some of Jacco's color maps for FractInt or UF. Fractal 2000 International Multidisciplinary Conference Don Archer U-draw fractals Fractals Fractals and Fractal Art ... RemarQ - Discussions in Pictures of Fractals Full access to abpf and other news groups via HTTP. And it's free...

76. Elizabeth Alexander - Chamber Music
SEA 033 00 $6.00/copy. - fractals *Commissioned by The music Fix*bassoon, piano - 10 minutes fractals are intricate pictures which
http://www.elizabethalexander.com/chamber_music.html
Home Page Chamber Music
by Elizabeth Alexander available through Seafarer Press Bells in Winter (brass section, timpani, 3 percussionists)
Diminutives
(guitar)
Fractals
(bassoon, piano)
I Write This Poem Out Of Darkness
(3 female voices (SSA), flute, violin, piano)
Interior Music
(wind quintet, piano)
Music for Tai Chi
(chamber ensemble)
My Aunt Gives Me a Clarinet Lesson
(soprano, flute, clarinet, violin, cello, piano, percussion)
Sonata for Clarinet and Piano
(Bb clarinet, piano)
Bells in Winter
brass section (4331), timpani, 3 percussionists (including some handbells) - 4 minutes This fanfare features bell-like instruments: handbells, chimes, vibraphone, gong, and crotales. The title, from a poem by Czeslaw Milosz, refers to the pealing of many many church bells throughout the city. SEA 043 00 - $12.00/copy SEA 043 01 - 25.00/set of parts Diminutives solo guitar - 5 minutes "...composed for the heart and soul of the guitar's strengths." Tallahassee Democrat The five short movements in this piece contain metered, unmetered and spatial notation, creating a sense of spontaneity and improvisation. At times, the music calls for the player to become indecisive about the music's direction, abandon a fruitless path, or impulsively explore a newly discovered sound. These little movements are perhaps more appropriate for a solitary corner than a concert stage; like tender, spoken diminutives, they are part of a dialogue between lovers in this case, guitarist and guitar.

77. The Mandelbrot Dazibao
Spanky Fractal Database, This site is not maintained any longer, but it containsthe most comprehensive list of fractals related sites. Top of the page. music.
http://mandelbrot.dazibao.free.fr/Links/Links.htm
Open Links
General
Fractals Music Culture ... Motors
General Interest
Google Simply the best search engine on the web... as for today ! QBasic.com The home of Quick Basic on the Internet. Kinda ghost-home, but the site is clean. Retraite = temps libre My father's homepage : learn everything about the french "Associations Loi 1901", and more! Saint Malo Hey, I was born there ! The "Cité des Corsaires", if any... Quick Basic One of the french QB sites. Meet Max, Poly, Achraf and the other french QB wizards. Main entrance to the Quick Basic webring created by Max. Top of the page
Fractals
The Encyclopedia of the Mandelbrot Set The most detailed website about the Gingerbread Man. No graphics, but a whole bunch of algorithms and formulas. Spanky Fractal Database This site is not maintained any longer, but it contains the most comprehensive list of fractals related sites. A Quick Guide to the Mandelbrot Set Fast, efficient, relevent... The best travel guide inside the Mandelbrot Set. Evgeny Demidov Ultra-professional Julia and Mandelbrot sets, detailed by a genuine russian physician. Take a look, that really blows!

78. 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://eduscapes.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

79. Exploring Fractals-Music
Musical Examples of fractals. If your computer uses MacZilla to load themusic, wait until it says Ready under the play button, then press it.
http://www.mste.uiuc.edu/courses/ci330ms/eilken/unitmus.HTML
Musical Examples of Fractals
If your computer uses MacZilla to load the music, wait until it says "Ready" under the play button, then press it. The "Back" key will return you to this page. Be sure to listen for the patterns in the music. They can be changed by the tones chosen or by the tempo of the music. Return to What are Fractals?

80. File Library At Channel 1: Fractals
Generates musical melodies by mapping fractals to music. Four fractaltypes, twentyone scale types and twenty symmetry operators.
http://www.filelibrary.com/Contents/DOS/94/14.html
First Shareware
Hall of Fame
Award Winner
June 1997!

New Files
Top 20 File Search Message Board
F ractals: files Search for concept filenames only Jump to files beginning with: A B C D ... Z
Jump to page number NEW this page Filename
(click to download) Size Date Description wtf20.zip The Well Tempered Fractal v2.0 - an interactive fractal music generator. Generates musical melodies by mapping fractals to music. Four fractal types, twenty-one scale types and twenty symmetry operators. Remap, change symmetries, change fractal types on the fly. xaos12b.zip xaos12s.zip xaos21b.zip xaos21s.zip ... xaos21_o.zip XaoS is a fast portable real-time interactive fractal zoomer. xmt2.jpg Fractal landscapes - K/Q 4/3 xmt3.jpg Fractal landscapes - K/Q 4/3 xmt4.jpg Fractal landscapes - K/Q 4/3 xmt5.jpg Fractal landscapes - K/Q 4/3 xmt6.jpg Fractal landscapes - K/Q 4/3 xmt7.jpg Fractal landscapes - K/Q 4/3 xmt8.jpg Fractal landscapes - K/Q 4/3 xmt9.jpg Fractal landscapes - K/Q 4/3 yank42b.zip Yankovic 4.2b, generates Yankovic set, a fractal unavailable in any other software. This is a special edition version before the release of Yankovic 5.0. yuvpak2.zip

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