21. Chaos Theory, Fractals, Animation, Music Videos As A Scientific Experiment In Li A free educational science, music, arts and entertainment site where you can downloadfree music videos of fractals in MPEG, MPEG2, DVD, DivX/MPEG4, Microsoft 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 A Long Time (.mpg) I Am Learning (.mpg) Alive (.mpg) Piercing (.mpg) ... Extended Stay (.ram) or Download (.rm) On Shaky Ground (.mpg) Floating Off (.mpg) Hemisphere (.wmv) ... Set Your Sights High (.ram) or Download (.rm) Not To Be Named (DivX/MPEG4) Piano Ponderings (DVD/MPEG2) Sorry... I Have To Go (.mpg) ... Then... Play On? (.mpg) Collections Classic Chaos Theory More Chaos Extemporaneous Music Sidd's Science Center Multimedia Special Of The Moment Local Multimedia http://membrane.com/

22. Fractals And Music fractals and music by Gustavo DiazJerez Electronic musician, Oct 1, 1999. http://emusician.com/ar/emusic_fractals_music/

HOME EM NEWS CURRENT ISSUE EM SPOTLIGHT ... List Rentals Fractals and Music Gustavo Diaz-Jerez Electronic Musician, Oct 1, 1999 Print-friendly format E-mail this information Most musicians have seen fractal images-those hauntingly beautiful pictures generated through mathematical equations. But how many people are aware that the same equations can be used to create hauntingly beautiful music? This article will explore fractals and discuss how they can be employed in musical composition. The technique is so versatile that you can use it to create music in any style, and it has great potential for adding an exciting new element to your music. Studying music from a mathematical point of view is nothing new; it dates back to ancient Greece. Around the fifth century B.C., Pythagoras uncovered mathematical relationships in music, in which musical intervals are represented as ratios of whole numbers. For example, the interval of an octave would be represented in the Pythagorean system as a 2:1 ratio because the frequency of the higher pitch is twice that of the lower. By the same system, the interval of a fifth would be 3:2, a fourth 4:3, and so forth. Other systems relating music to math have been developed, mainly in the 20th century. Among the many examples are Joseph Schillinger's System of Musical Composition and a method of composition developed by Olivier Messiaen in the 1940s. The more recent discovery of fractals and particularly their link to music has opened a door to composers, behind which lies immense creative possibility.

23. Fractovia.org: Fractal Art Galleries, discussion of fractals as art. Large list of freeware fractal generators, screen savers, music software, with links and reviews. http://www.fractovia.org/

w e l c o m e . t o . t h i r d . a p e x . t o . f r a c t o v i a Click to enter pixelCORE This site is a member of WebRing. To browse visit

24. Fractal Music fractals, Chaos, and music An academic paper covering some of the researchthat has been done on relations between fractals and music. http://thinks.com/webguide/fractal-music.htm

Home Web Guide Fractal Music Don't miss the gold star sites - the best of the best. Don Archer's Digital Art Fractal music sequenced by Don Archer - as well as image galleries, and U-draw which lets you create your own fractals. Fantastic Fractals This site, designed primarily for students, has a fractal music section (as well as massive galleries of fractals, a fully interactive course on fractals, a fully functional fractal generation program, downloads, etc.) Fractal Fusion Great fractal music by Brian E. Jones, as well as several galleries of images. Fractals, Chaos, and Music An academic paper covering some of the research that has been done on relations between fractals and music. A few computer programs which can be used to generate fractal music - The Well-Tempered Fractal and MusiNum - are discussed, and also possible practical uses for software which can be used to hear patterns in fractals. Fractal Music by David Spondike George Jetson Meets The Big Bang (a sonic sculpture) and Hear The Mandelbrot Set (Dave's sonic maps). Plus S-COM files and good Fractal Links. The Fractal Music Lab Dedicated to the sharing of tools and information for exploring and advancing the musical use of fractals. This site contains numerous examples of fractal music, downloadable software you can use to compose original fractal music, and some information and activities designed to help you better understand fractals.

25. Main Sterlingware, Flarium, Fractal Explorer galleries and fractal music. http://www.fractal-vibes.com/fvc/fractals.html

Fractal Art Herein are several galleries of fractal images, each the graphical representation of fractal equations iterated over and over several million times. If fractals are not already familiar to you, check the "About Fractals" page to learn more. Sterling-Ware Gallery #1 Flaruim-24 Gallery #1 Fractal Explorer Gallery #1 Visitors Since July 1, 1999 This Site is a Member of: To Main Page of Fractal-Vibes (From Infinite Fractal Loop, only) Phil Jackson Except Where Otherwise Noted Page Created May 27, 1999 Last Updated December 11, 1999

26. 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 Web Guide Fractals and Fractal Art Don't miss the gold star sites - the best of the best. 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. Brian E. Jones Art Gallery An excellent fractal site with several galleries of images, Bryce 2 hints and tips, and great fractal music. Carlson's Fractal Gallery 3D Phoenix Spirals, Atan Method Fractals, 3D Stalks, Bubbles, Pokorny Cones, Miscellaneous Images - all splendid images in this very large collection. Casperz Fractalz A small (but growing) gallery of fractal images created by Blake Hyde using Fractint, in JPEG format. Don Archer's Fractal Art and Music An impressive site which, in addition to many pages of interesting fractal images, features fractal music and U-draw which lets you create your own fractals.

27. Softology Windows application that generates fractals, cellular automata, attractors, IFS, Lsystems, music, and other related simulations. Supports 2D and 3D fractal generation and movies. http://www.softology.com.au/

Main Gallery Software Links ... Contact Welcome. Softology develops high quality applications for Windows at affordable prices. These web pages have been kept relatively simple to speed download times. If you want some eye candy, download Visions Of Chaos and you will be able to make more pretty pictures and movies than your hard drive can hold. Main Gallery Software Links ... Contact

28. Fractals fractals as music. Fractal equations and other complex systems areused in computer programming to generate random numbers. However http://www.davesabine.com/media/fractals.asp

davesabine. Fractals Related Material What is a Fractal? Fractal Music Approaches Infinity at 8 Iterations - for 5 pianos Fractal Images First, Second, Third Horizon Series Series One Spiral Series ... Fractals as Music What is a Fractal? A fractal is a geometric shape that is complex and detailed in structure at any level of magnification. Many fractals are self-similar, meaning that each small portion of the fractal can be viewed as a reduced scale replica of the whole. ( I found the previous statement on an abandoned web page...I don't know who wrote it, but it simply defines the concept perfectly. For example, a natural example of fractal geometry can be seen in snowflakes in the sense that all snowflakes are almost identical in form yet the structure of a snowflake will never be duplicated exactly. Each flake differs slightly from all other flakes. Moreover, when a snowflake is magnified, each isolated portion of the flake is nearly identical to the whole flake! Other natural examples of fractals include ashes, tree bark, tree branches, broccoli stems, bubbles, carpet. Fractal mathematics is related very closely to chaos theory . Chaos theory is the study of forever-changing complex systems. Chaos theory is commonly misunderstood to be a belief that the universe is absolutely chaotic. However in fact, chaos theory suggests that objects, actions, environments, etc. that we perceive as chaotic may actually contain perfect order according to a complex system which we don't have the capacity to fully understand yet; therefore these systems, due to their complexity, seem like chaos.

29. Fractals In Music : Introductory Mathematics For Musical Analysis fractals in music Introductory Mathematics for musical Analysis. From the Publisherfractals in music is an interesting crossover between disciplines. http://hallmathematics.com/pure_mathematics/154.shtml

Fractals in Music : Introductory Mathematics for Musical Analysis Home Mathematics Pure Mathematics by Charles Madden See More Details Hardcover - 210 pages (August 1999) High Art Pr; ISBN: 0967172756 ; Dimensions (in inches): 0.77 x 8.85 x 5.75 Reviews Editorial Reviews Book Description Establishing a new genre of musical analysis, Fractals in Music goes beyond the usual analysis of chord structures and period forms to examine such topics as: Fibonacci number and golden mean proportions; Statistics for distinguishing among styles; Fourier analysis of melodic structure; Inner/outer form. It is intended for anyone interested in music or fractals and who has some knowledge of algebra and trigonometry. The many illustrations clarify such concepts as self-similarity and transforms. As the first of a series of advanced volumes, Fractals in Music is expected to be on the shelves of musicians for decades to come. From the Publisher Fractals in Music is an interesting crossover between disciplines. It shows how the mathematics of chaos theory and fractal geometry can be applied to understanding music in ways that may be more applicable to the technological age than current musical analysis is. Advertised as "music theory for the new millennium," it discusses Fibonacci numbers, statistics, and Fourier analysis, as well as randomicity, correlation, and inner/outer form.

30. HallMathematics.com Fractals In Music Introductory HallMathematics.com fractals in music Introductory Mathematics for musicalAnalysis (Inmusic (Salt Lake City, Utah), No. 1.). HallMathematics.com. http://hallmathematics.com/index.php/Mode/product/AsinSearch/0967172756/name/Fra

31. Music & Research Links: Nonlinear Science And Fractals Composition Algorithmic Composition, a Definition Bruce Jacob, UMCP (algorithmiccomposition) Dynamical Systems and music fractals, Chaos, and music music, Mind 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 Art Matrix Introduction to Fractals A Fractals Lesson - Recognitions (Good Elementary Intro) The Fractal Microscope A Virtual Space Time Travel Machine Chopping Broccoli Fractal Geometry ... BOTTOM Non-Linear and Mathematical Structures in Music Music and Artificial Intelligence Robison, Category Structures (fuzzy sets in music) Artificial Intelligence in Music Workshop AI - musical expression Music, Machines, Intelligence and the Brain Algorithmic Composition ... Bruce Jacob, UMCP (algorithmic composition) Dynamical Systems and Music Fractals, Chaos, and Music Music, Mind, Machine Mathematics and Music ... BOTTOM Composer's Home Pages David Spondike DANIEL PALKOWSKI The Music of Jeff Harrington (not in Cleveland) Robert J. Frank's Homepage Sergei Kossenko Homepage Sergio Maltagliati: Pictures to Listen Soundscape Composers and their works ... Dang's Home Page (computer music) John Starrett's Microtonal Music Page Stephen Travis Pope Home Page (Computer Music-Univ. of Calif.)

32. Www.simtel.net: Realtm04.zip (Animate Fractals With Music From Sound Card) Animate fractalswith music from sound card. Animate fractals with music from sound card....... File Size 769387. File Date 199705-23 230000. http://www1.simtel.net/pub/pd/39927.html

@import url(/simtel.css); Search Simtel Home Spotlights Doc's Picks News Letter Signup ... Handy Backup Translate into Spanish Portuguese French German Italian Japanese Korean Select a website mirror: USA Hungary Poland Program Information var defaultAd = ''; var freqDays = 1; var freq = 1; var bsid = '18502'; var bsads = '7'; var bsloc = '1462494983'; var bswx = 720; var bshx = 300; var s = bswx + 'x' + bshx; var c = '916'; var cb = '2' Category: MS-DOS / Animation programs Publisher: Simtel Legacy File Name: realtm04.zip Downloads: Ware Type: Legacy File Size: 751.4 KBytes File Date: Description: Animate fractals with music from sound card Animate fractals with music from sound card What is Get it On CD? Top 5 Downloads, last week, in MS-DOS / Animation programs 3danim.zip Create high speed 3-D animation vfd_16d.zip FLC/FLI/AVI BMP/TGA/GIF cross-compiler flimaker.zip Autodesk Animator FLImaker, converts to FLI toon30.zip CARTOON v3.0: Draw/Animate long musical movies me20.zip Complete PC Movie creation system v2.0 Questions?

33. Fractals In Music fractals in music, About fractals in music Establishing a new genreof musical analysis, fractals IN music, a new book by Charles http://hometown.aol.com/chasmadden/myhomepageindex.html

htmlAdWH('7003013', '120', '30'); htmlAdWH('7002044', '234', '60'); Main Create Edit Help Fractals in Music About Fractals in Music Establishing a new genre of musical analysis, FRACTALS IN MUSIC, a new book by Charles Madden, goes beyond the usual analysis of chord stuctures and period forms to examine such topics as: Fibonacci numbers and golden mean proportions Statistics for distinguishing among styles Fourier analysis of melodic structure Inner/outer form It is intended for advanced students of music theory, whether individuals, composers, students, or teachers. It is intelligible to anyone having some knowledge of algebra and trigonometry. The many illustrations clarify such concepts as self-similarity and transforms. Contents 1. Introduction Chaos Theory Fractal Geometry 2. Self-Similarity Elements Transforms Self-Similarity in the Harmonic Sequence Scales Equal Temperament Logarithmic Transforms 3. Attractors Pitches and Keys Application to Atonality Attractors: Schenker, Schoenberg, Stravinsky 4. Fib and Phi Fibonacci Numbers Phi: The Golden Mean Organicism The Music: Varèse; Schoenberg; Bartók;

34. Our Fractal Universe Basic Information About Different Types of fractals; A Gallery of Beautiful fractals.Fractal music What Fractal music Is; How it is Made; How it Sounds. fractals http://library.advanced.org/25810/cgi-bin/fido.cgi?whichtype=0&page=../sitemap.t

35. Our Fractal Universe made? When most people make fractal music, they usually use one ofthe many programs available to convert fractals into music. This http://library.advanced.org/25810/cgi-bin/fido.cgi?whichtype=0&page=../music/how

36. ¡¶Gnomon: From Pharaoh To Fractals¡· fractals in music Introductory Mathematics for musical Analysis» CharlesMadden Hardcover August 1999 http://www.fractal.com.cn/fxlz/fxlz090.htm

¡¶Fractals in Music: Introductory Mathematics for Musical Analysis¡· Charles Madden Hardcover August 1999 ISBN: Innovative music theory ties music to technology Fractals in Music is an interesting crossover between discliplines. It shows how the mathematics of chaos theory and fractal geometry can be applied to understanding music in ways that may be more applicable to the technological age than current musical analysis is. Advertised as 'music theory for the new millennium,' it discusses Fibonacci numbers, statistics, and Fourier analysis, as well as randomicity, correlation, and inner/outer form. Although focusing on classical music, the concepts are equally applicable to popular music or jazz. Many non-musicians may find Fractals in Music interesting because of its tie to the well-known fractal images that have been popular for the past several years.

37. ICMA : Array Book reviews. fractals in music Introductory Mathematics for musicalAnalysis. by Charles Madden. High Arts Press (ISBN 0967172756). http://www.computermusic.org/array.php?artid=12

38. Using Fractals For Music Selfsimilarity was a characteristic of all the fractals that they found to be musicallyinteresting. Heinrich Schenker's classical music analytical techniques http://www.fractalmusiclab.com/music/whyfactals.htm

Fractal Music Of all the algorithmic composition techniques, fractals seem to produce better sounding results. Some thoughts on why can be found in an early article by Charles Dodge and Curtis Bahn in Byte called Musical Fractals , (June 1986, pp185-196): Self-similarity was a characteristic of all the fractals that they found to be musically interesting. Heinrich Schenker's classical music analytical techniques reflect the parts of a musical form as self-similar structures. Certain compositional procedures that make new musical material by systematically transforming previous materials, i.e. canon, fugue, and motivic development, can result in clearly self-similar musical structures. Unity and coherence in music is often achieved by repetition and development of a smaller number of musical motifs or themes. The hierarchical structure of 'self-similar' fractals appears to inherently have some of these same qualities.

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

Logo: Giaco Parkinson Home Products Register ... Contact Welcome visitor Welcome to MuSoft Builders MuSoft Builders 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 is software of the month for december 2002 in the CNFractal Music Forum. CamCapture is a program to capture webcams. See the Products page for a description of both products, preview and download. a Musical Generator CamCapture Version 3.0 of a Musical Generator has been released! Try the beta of a Musical Generator (Version 3.1)! ... 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 page on the making of music on p (in Dutch and English ). It has been reviewed in NRC Handelsblad (a Dutch newspaper). Home Products Register Support ... Meet CEO!

40. MuSoft Builders: Creating Music Out Of Fractals With A Musical Generator Mailing List. This mailing list is up to now experimental. We have createda mailing list on a musical Generator, fractals and fractal music. http://www.musoft-builders.com/links/maillist.shtml

Logo: Giaco Parkinson Home Products Register ... Contact Welcome visitor Mailing List This mailing list is up to now experimental. We have created a mailing list on a Musical Generator, fractals and fractal music. Just subscribe to the list and feel free to exchange your ideas on these subjects with other subscribers. When you subscribe you will receive a confirmation email with instructions to how to use the list. In order to subscribe just send an email to the Musical Generator mailing list with no subject and just one line with the following text: 'subscribe amg-list'. If you wish to unsubscribe, the message should be changed to 'unsubscribe amg-list'. Once you have confirmed your subscription to the mailing list you can send a message to amg-list@musoft-builders.com You can easily select the messages from the mailing list in your mail program because the subject of each message is preceded by [aMG]. Home Products Register Support ... MuSoft Builders

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