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Fractals & Music:     more detail

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

lists with details

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/

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/

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/
    
    Extractions: 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

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
    
    Extractions: 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.

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

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

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

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
    
    Extractions: Search ... 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. URL: http://www.forwiss.uni-erlangen.de/~kinderma/musinum/musinum.html 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
    
    Extractions: Fractals and Their Use in Music 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
    
    Extractions: 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. Dave Churchers MIDI components Dion Kurczeks multimedia (high resolution) timer A formula parser (parser10) from Renate Schaaf, Alin Flaider and Stefan Hoffmeister A version control component from Marc Evans As no MIDI support is available in Delphi, I had to write my own code and wrote units to support MIDI events and writing to 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
    
    Extractions: 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. Piet van Oostrum A guy who really contributes a lot to MIDI. Archives of Utrecht university Contains a lot of links IRCAM Famous site of music research. May contain MIDI files, but for authorised personel only The classical MIDI archives Lots of MIDI files of classical composers MIDI Classic Forum Nice Japanese site with lots of links to Japanese performers Laura's MIDI heaven Site with the standard classical MIDI files. However you can send them to your enemies as a greeting card The academy of digital music Site specialized in Mozart, also containing Back and Van Beethoven (and some more) MIDI Links Lots of links set up with help of Piet van Oostrum MIDISCAPE Yet another link to free MIDI 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
    
    Extractions: Member Central Join Our Community! Login Member Update What's New ... TravelSuite Suite University About Suite University Visit the University Course Listing New Courses ... Featured Courses New Topics Electronica Basketball Teaching Creative Writing to Children Maine People ... More... Suite Events My Favorite Place War and Peace Spring Into Health! Earth Day 2003 More about Suite101 About Suite101.com - Select a related topic - African-American Home Sch Biographies of Scientists Celtic Internet Resources Christian Home Education Creative Writing Graduate Distance Education Extra-solar Planets Foreign Language Acquisit Homeschooling Preschool a Librarians and Informatio Magazine Reviews Making Learning FUN! Math is fun Redefining Education Science Surfing Social and Emotional Lear Teachers Using Technology Teaching Computers To Chi Teaching Creative Writing Welsh Language - Select a related course - Advanced Stenciling Adventures in Impressioni Awesome Grades in Math an Creating Dynamic Unit Stu Cure Your Math Anxiety: B Homeschooling Your Specia How to Start Homeschoolin Learning a Second Languag Teaching Writing to Child Teaching Writing to Child Understanding Poetry Visual Literacy - A Cours Visit Education Detailed Topic List Home Science and mathematics ... Natural sciences (General works) Science Surfing

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
    
    Extractions: 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
    
    Extractions: 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

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
    
    Extractions: 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 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
    
    Extractions: General Fractals Music Culture ... Motors 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 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
    
    Extractions: 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
    
    Extractions: 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
    
    Extractions: (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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