61. Fractal Music ? Let me know what you think about fractal music. of music are mathematical innature fractals produce patterns somewhere between Order and Chaos, http://forum.studioathome.com/viewtopic.php?id=632

62. Growabrain: Fractals Archives Adventures in red cabbage fractals. Fractal music Compositions Fractal musicstructure, by Martin Guertner. (From An introduction to fractals) http://growabrain.typepad.com/growabrain/fractals/

growabrain open links in new window About Me Search Grow a Brain Calculators Archives Site Graphics Grab a graphic to link to GAB People are Talking See what people are saying about Grow a Brain. Credits Site design by taz Original "gabby" character artwork by Alonzo Real Estate The Great Team Syndicate this site (XML) Add me to your TypePad People list Suggest a link Collections 2004 Election Advertising Americana Americana - Abraham Lincoln ... Zen February 19, 2005 Fractal zoomers A gallery of animations rendered by XaoS realtime fractal zoomer From the Tree of Life Project: Zoantharia Sea Anemones and Corals Adventures in red cabbage fractals Fractal Music Compositions Eleanor Kent’s fractal knitwear , combining high tech tools and ancient handwork: computers, copiers, pens and knitting needles. (From ”Quiddity” Substrate from “Complexification” , a Gallery of Computation aartika! Fractal Explorer , a freeware fractal generator This is truly a trippy animation: Kaleidoscope ”Hypersloth” A theory of roughness - A Talk with Benoit Mandelbrot This gallery features art that combines two of my favorite things - Cats and Fractals Many More Unusual Fractal Links Here Today’s “Blog Of The Day” is “ Giornale Nuovo” , by Mister Aitch. If you know of a blog that should be considered as “Blog Of The Day”, please email me at realhanan (at) yahoo (dot) com, or post a comment at the bottom of this post.

63. Macintosh Music Software: Computer Aided Composition [Shareware Music Machine] Mandelbrot music, An exploration of converting fractals to music. Matriosity v1.2,A serial music matrix creator. Matrix Maker X v1.1.3, Creates and formats http://www.hitsquad.com/smm/mac/COMPUTER_AIDED_COMPOSITION/

FREE 2 DAY SHIPPING on Most Computer Music Products PLUS All Musical Instruments and Sound Equipment With Same Day Music, order today and we ship it today. If you need Cubase or Digital Performer Emagic Logic or an Edirol controller, we'll ship it today. If you want DJ Equipment or Cymbals Guitars or Microphones , we'll ship it today. What's so hard about that? MIDI Keyboards Digital Pianos Keyboard Cases Home Recording ... Click here for more information Over 1,000,000 Visitors Every Month Home Site Map News Search ... Advertising Click here to find out more about this course from Musicians Institute Home Macintosh Computer Aided Composition Software to help in the process of composition by creating arrangements, melodies, structures etc. with little human help. Can be used for complete compositions or just as a source of new musical ideas. Click to BUY ALL NEW MUSIC GEAR at GUARANTEED LOWEST PRICES! Recording Gear Computer Music Gear Keyboad Gear ... Tascam SOFTWARE TITLE SOFTWARE DESCRIPTION Band-in-a-Box 12 Demo Intelligent Music Accompaniment Software for Your MIDI Music System or PC Sound Card. Bidule beta v0.8501

64. Generation5 - News 09/08/2000, Classifying music via fractals. Posted by James Matthews. Art Anotherlate story, but Slashdot had a link to a New Scientist article about a http://www.generation5.org/news.asp?Action=Filtered&Filter=Art

65. Generation5 - Applications In Music It has been shown that most fractals fall into a similar 1/f category too.fractals have been used to generate music in several ways you can select a row http://www.generation5.org/app_music.shtml

Home Articles Reviews Interviews ... Contribute Login Login: Password: Keep me logged in. ( help Register Why register? Lost your password? ... MobES Expert System Friends and Affiliates Home Articles General > Applications Applications in Music By James Matthews Printable Version The Artificial Intelligence applications in music are endless - unfortunately, at present there is very little so show for it. Artificial Intelligence and music are at either ends of the spectrum, AI being seen as the epitomy of computer science, and music the epitomy of art and abstractness. Dynamic and autonomous music creation has endless possibilities - pieces could be composed in seconds, for garden centre, elevator and trance music! Computers could provide brilliant 'jam' partners for guitarists, blues/jazz players to help develop their style. Computers could provide piano accompaniment for orchestral practices. The possibilities are endless ! Yet how can all of this be achieved? Generating Computer Music Creating music takes a certain amount of inspiration to get a piece started. How do we inspire computers? As of yet, there is no music-generating program that takes no human input. Most programs at the moment require the human user to set various parameters and options - these are used by the computer to generate the piece. A lot of music programs use genetic algorithms as a means of generating pieces. GenJam by

66. Hidden Dimension Galleries Ron Barnett s fractal images, music, raytracing, Ultra Fractal formulas and links. http://www.hiddendimension.com/

Welcome to the wonderful world of algorithmic art. In your tour through this site you will be able to see algorithmic art created by a variety of programs and hear music created from mathematical algorithms. Come explore and learn more about fractals! Visit the art galleries and decide for yourself whether fractals can be art. Mouse over an image to see where it leads. Click on the image to visit the site. Email me This site has had visitors since May 19, 2004 Return to Top

67. The Math Forum - Math Library - Fractals Exhibit kiosks, many of which are fractals, include music of the Heart, FrozenLightning, Contemporary music theory and composition, fractal music, http://mathforum.org/library/topics/fractals/?keyid=14240478&start_at=51&num_to_

68. Fractals : BlueChillies.com It contains some unique trippy fractals and background music you ll find nowhereelse. See Details Download Now! - Refer It To Friends - Report Broken http://www.bluechillies.com/list.html?k=fractals

69. Fractals - Patterns - Themepark Fractal music! Listen to fractal music while you view the Fractal of the Day . Overload on fractalsfractal clouds, fractal music, fractal software, http://www.uen.org/themepark/patterns/fractal.shtml

Tessellations General Math Fractions/Decimals Geometry ... Patterns Fractals A fractal is a geometric pattern that repeats itself at smaller and smaller scales to produce irregular shapes and surfaces that cannot be represented by classical geometry......think about the spirals in some seashells. That irregular pattern can be considered to be a fractal. Fractals often exhibit the property of self-similarity and represent the many irregularly shaped objects in nature. A self-similar object is one whose component parts resemble the whole. Any of its smallest parts are similar in shape to its larger structure-like a broccoli flower or a fern leaf. Sample some of the following activities to learn more about fractals. Places To Go People To See Things To Do Teacher Resources Places To Go The following are places to go (some real and some virtual) to find out about fractals. Dance of Chance http://polymer.bu.edu/museum/ Visit the Museum of Science in Boston and check out their exhibit on fractals and patterns in nature. Fractal World http://www.kcsd.k12.pa.us/~projects/fractal/

70. The Music Of José Oscar Marques They cover a variety of styles, since fractal music doesn t mean a musicalgenre but rather a About fractals and Fractal music (and a few links) http://www.unicamp.br/~jmarques/mus/fractal/

This is a mirror of the original MIDIWORLD page (no longer operational) 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 (NEW) Check here the music in MP3 format: The CD 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

71. Computer Music -- G6610, Fall 2000 Week 5 The Fractal music Project links to more fractal music sites In this class,we took a slightly different approach to using fractals than the typical http://music.columbia.edu/cmc/courses/g6610/brad/week5/

Week 5: Fractals/Fractal Reflections; Room Simulation Zion Canyon, Utah Here are some informative and interesting links you might enjoy: general good set of java apps educational fractal pages (some nice java apps, sort of annoying "cover the answer" nonsense) NCSA's Fractal Home Page (a few good links to images, software) music The Fractal Music Project links to more fractal music sites click here for ideas to try from this class. Fractal Reflections Last week we discussed the use of fractal techniques to generate various parameters of music. In this class, we took a slightly different approach to using fractals than the "typical" mapping onto pitch/frequency or rhythm, etc. (it's amazing how many people think of algorithmic composition as working only in these two domains). Fractal geometry is a very powerful way to represent natural forms in fact, much of Mandelbrot's original investigations into fractals dealt with issues of representing these forms; the coastline of Britain, the size (area) of clouds, etc. His book is titled The Fractal Geometry of Nature , after all!

72. Electronic Music Mailing List Archives: Cecdiscuss +fractals in music Julia Dmitrioukova (11/17/99) +Re fractals in music DennisMiller +-Re Re fractals in music Dennis Miller (11/18/99) http://elists.resynthesize.com/cecdiscuss/1999/11/

Electronic Music mailing list archives Navigation: home cecdiscuss Search: All of elists ambient analogue-heaven cecdiscuss csound csoundtekno cubase darkstep gabber idm idm-making idm-reviews jmsl jsyn linux-audio-users max-msp microsound minidisc-l mulch-discuss musicdsp nord-modular pd-list reaktor-list rtcmix-discuss sc-users synth-diy [advanced search] [check out this awesome FREE album by Paint By Numbers!] Re: sonic arts network Garth Paine Sonic Residues 02 Garth Paine New Brazilian CD Jorge Antunes Re: Pitel Christian ELOY Re: sndan Kevin Busby Re: sndan Larry Austin 1999 SEAMUS AudioClip Web Concert sdbeck@lsu.edu ELECTROSHOCK RECORDS new release Martín_Fumarola Fwd: Call for papers and pieces CEC New Music North West, Saturday, Nov. 6th, 1999 Arun Chandra inner space playlist for 31.10.1999. Vladimir Jovanovic Post doctoral position Bob Pritchard FOLDOVER WOBC 91.5 playlist (11/01/99) Tom Lopez Alternativa Festival, Prague, Nov 26 - Dec 5, 1999 romek Alternativa Festival, Prague, Nov 26 - Dec 5, 1999 romek ELECTROSHOCK RECORDS distributor Web Site Martín_Fumarola Plein la vue (1), 4 au 6 novembre 1999, Montréal

73. ENC Online: Curriculum Resources: MusiNum, The Music In The Numbers (ENC-011834, Furthermore, the connections between binary numbers, fractals, and music arediscussed. Links to other sites dealing with these topics are listed. http://www.enc.org/resources/records/0,1240,011834,00.shtm

Skip Navigation You Are Here ENC Home Curriculum Resources Search the Site More Options Don't lose access to ENC's web site! Beginning in August, goENC.com will showcase the best of ENC Online combined with useful new tools to save you time. Take action todaypurchase a school subscription through goENC.com Classroom Calendar Digital Dozen ENC Focus ... Ask ENC Explore online lesson plans, student activities, and teacher learning tools. Search Browse Resource of the Day 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 Grades: 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: Similar Records Featured in Digital Dozen Subjects: Mathematics Applied mathematics. Discrete mathematics. Fractals. Patterns. Sequences. Integrated/interdisciplinary approaches Music.

74. Fractal Music. Fractal Sounds. FractMus: A FREEWARE Fractal Music Composer. Fractal music, Fractal sounds, composition software, create music using mathematicsand fractals !!! http://www.geocities.com/SiliconValley/Haven/4386/

Welcome to FractMus 2000 Home Page At Last!!! The Source code is finally available under the GPL license for anyone wishing to use it Get it here If you decide to extend/modify FractMus or build a new program using FractMus' source code PLEASE let me know (email below) Visit Fractal Music at mp3.com! Get Fractal Sounds - Volume 1 , a CD replete with aural representations of mathematical processes, including chaos (logistic map), strange attractors (Henon, Hopalong, Martin, Gingerbread Man, Mira...), number theory (number line, prime numbers, 3x+1 numbers...), fractals, noise spectra, etc. Contains over 54 minutes of fractal music. See a detailed description of the included compositions here visitors since September 1998 diazjerez@REMOVE_THIS_SPAM_FILTERgmail.com Sign Guestbook View Guestbook View Page Stats See who's visiting this page. © 1997-2001 by Gustavo Diaz-Jerez, last updated: July 10, 2001.

75. PSIgate - Physical Sciences Information Gateway Search/Browse Results For those interested in growing fractals using electrolysis methods, the Mandelbrot set; fractals and music; newsgroups; and fractal theory. http://www.psigate.ac.uk/roads/cgi-bin/psisearch.pl?term1=fractals&limit=0&subje

76. PSIgate - Physical Sciences Information Gateway Search/Browse Results Chaffey s fractals music Chaffey High School s fractals on the Webhttp//www.chaffey.org/fractals/ Fractal music Links Last Updated February 28, http://www.psigate.ac.uk/roads/cgi-bin/search_webcatalogue.pl?term1=fractals&lim

77. Kids Domain Music Games Make some neat music using fractals as your guide . follow the links for moreinfo about musicians who do this Shockwave Games. Pebbles VidRock http://www.kidsdomain.com/games/music.html

Ads_kid=0;Ads_bid=0;Ads_xl=0;Ads_yl=0;Ads_xp='';Ads_yp='';Ads_opt=0;Ads_wrd='[KeyWord]';Ads_prf='';Ads_par='';Ads_cnturl='';Ads_sec=0;Ads_channels=''; Msg Boards Login Home Travel Parties Reviews Resources Holidays Clipart Crafts Shop Camps Music Games Boomthang Britney Spears ain't got nothin' on you! Boom Thang is a game that allows you to record your own jivin' tunes. So, go ahead. Groove to the beats that will make your feet move! Fred Penner Juke Box Here's your chance to spin the tunes that will keep toes a tappin' and fingers a snappin'. Play your favourite song from one of the CDs and don't forget turn up the volume. Kazounds Kazounds is a musical memory game that gets you to copy the sounds you hear. It's Ka-razy! It's Ka-rafty! It's Kazounds! Music Match'em Does the drum go "plinka, plinka" and a harp go "boom, boom"? With Match 'Em, you have to match the instrument with the sound it should really make. Guitar Tuner Use this applet to get your guitar in perfect tune! Click on the chords to hear the perfect note. Intervals Want to train your ear? This activity will help you identify different musical intervals.

78. Fractal Geometry Comprehensive educational resource on the mathematical framework and formalism from the Yale University, covering the concept of self similarity. Includes topical examples, images, algorithms and softwares. http://classes.yale.edu/fractals/

79. Chaos Theory And Fractals Glossary and terms directory. Includes mathematical formulations and illustrations of the most common sets. http://www.mathjmendl.org/chaos/

Chaos Theory and Fractals By Jonathan Mendelson and Elana Blumenthal Outline Introduction to Chaos Determinism Early Chaos Edward Lorenz ... Works Cited Introduction to Chaos The dictionary definition of chaos is turmoil, turbulence, primordial abyss, and undesired randomness, but scientists will tell you that chaos is something extremely sensitive to initial conditions. Chaos also refers to the question of whether or not it is possible to make good long-term predictions about how a system will act. A chaotic system can actually develop in a way that appears very smooth and ordered. Determinism Determinism is the belief that every action is the result of preceding actions. It began as a philosophical belief in Ancient Greece thousands of years ago and was introduced into science around 1500 A.D. with the idea that cause and effect rules govern science. Sir Isaac Newton was closely associated with the establishment of determinism in modern science. His laws were able to predict systems very accurately. They were deterministic at their core because they implied that everything that would occur would be based entirely on what happened right before. The Newtonian model of the universe is often depicted as a billiard game in which the outcome unfolds mathematically from the initial conditions in a pre-determined fashion, like a movie that can be run forwards or backwards in time. Determinism remains as one of the more important concepts of physical science today. Early Chaos Ilya Prigogine showed that complex structures could come from simpler ones. This is like order coming from chaos. Henry Adams previously described this with his quote "Chaos often breeds life, when order breeds habit". Henri Poincaré was really the "Father of Chaos [Theory]," however. The planet Neptune was discovered in 1846 and had been predicted from the observation of deviations in Uranus' orbit. King Oscar II of Norway was willing to give a prize to anyone who could prove or disprove that the solar system was stable. Poincaré offered his solution, but when a friend found an error in his calculations, the prize was taken away until he could come up with a new solution that worked. He found that there was no solution. Not even Sir Isaac Newton's laws provided a solution to this huge problem. Poincaré had been trying to find order in a system where there was none to be found.

80. Cynthia Lanius' Fractals Unit: Fractal Dimension Explains the unusual concept of partial dimensions and shows comparisons to a dot, line, plane and cube. http://math.rice.edu/~lanius/fractals/dim.html

Cynthia Lanius Fractal Properties Fractal Dimension Table of Contents Introduction Why study fractals? What's so hot about fractals, anyway? Making fractals Sierpinski Triangle Using Java Math questions Sierpinski Meets Pascal ... Using Java Fractal Properties Self-similarity Fractional dimension Formation by iteration For Teachers Teachers' Notes Teacher-to-Teacher Comments My fractals mail Send fractals mail Fractals on the Web The Math Forum Other Math Lessons by Cynthia Lanius Awards This Site has received A point has no dimensions - no length, no width, no height. That dot is obviously way too big to really represent a point. But we'll live with it, if we all just agree what a point really is. A line has one dimension - length. It has no width and no height, but infinite length. Again, this model of a line is really not very good, but until we learn how to draw a line with width and infinite length, it'll have to do. A plane has two dimensions - length and width, no depth. It's an absolutely flat tabletop extending out both ways to infinity. Space

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