21. MuSoft Builders: Creating Music Out Of Fractals With A Musical Generator Create music out of fractals, numbers, your name or photo with a musicalGenerator. fractals. A musical Generator was designed around fractals. http://www.musoft-builders.com/links/fractals.shtml

Logo: Giaco Parkinson Home Register Support ... Contact Welcome visitor Fractals A Musical Generator was designed around fractals. Fractals are known because of the interesting pictures they yield, but more and more people realize that they yield interesting music as well. I have added several image galleries of fractals. All examples are generated by a Musical Generator. For those who are interested in a more mathematical background: a good introductory book is "The science of Fractal Images" of Peitgen and Saupe. It contains contributions of Barnsley and Mandelbrot whose fractals are available in a Musical Generator. All images are created with the plotter of a Musical Generator. In order to get an image of the plot right click on a fractal and choose plot. The plotter comes up and plots the fractal. When the plotter is ready right click in the plot and choose copy. The image is copied to the clipboard and you can paste it in a paint program like Paint. Six successive zooms of the Mandelbrot fractal The influence of the Method and Initialization parameters of a complex map illustrated by the Lambda fractal Some examples of algorithmic plants (L-systems) Different Lorenz fractals by changing one parameter A Dutch paper had an interesting contest on making music on p . You can find a link to my contribution , which shows what you can do with a Musical Generator.

22. HOLONOMY AND FRACTALS ON MUSIC: HOLOFRACTAL MUSIC AS A SEMIOSIC SYNTHESIS Holonomy and fractals in music. Holofractal music as a semiosic synthesis. Schroeder,Martin. fractals in music in Clifford Pickover, Fractal Horizons. http://www.geocities.com/absbsemiotica/holofrac.htm

Holonomy and fractals in music Holofractal music as a semiosic synthesis Eufrasio Prates Paper presented to the VII International Congress of Semiotics However, when we talk about contemporary music people tends to expect some expertise from the public to "understand" the music. As I conceive it, music is a phenomenon to be felt, before being rationally understood. Of course there is no clear division between emotion and reason. Their role in the living experience of music is largely a complementary one and follows that every human being is capable of that. For this reason, I assume that contemporary music has a very special function today: to carry the most relevant ideas, changes and discoveries of our time to every human being willing to that. This first topic leads us to the next: what are those mentioned ideas, changes and discoveries? Of course each composer makes her/his choices. My choice was to keep only the paradigmatic ones. As the biggest changes of this century appears to be founded on the discoveries of the new physics, I have made a research of them, which is summarized at the article Música Quântica: em torno de um paradigma holonômico Quantum Music: around a holonomic paradigm Holonomy and fractals Most will agree that the quantum behavior of matter is one of the main discoveries of this century. As a matter of fact, the Bell Theorem proves mathematically that separated and distant parts of the universe are connected in an intimate and immediate form.

23. Fractal Music. Fractal Sounds. FractMus: A FREEWARE Fractal Music Composer. Fractal music, Fractal sounds, composition software, create music usingmathematics and fractals !!! Visit Fractal music at mp3.com! http://www.geocities.com/SiliconValley/Haven/4386/

Welcome to FractMus 2000 Home Page 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 gdiazj@teleline.es Sign Guestbook View Guestbook View Page Stats See who's visiting this page. © 1997-2001 by Gustavo Diaz-Jerez, last updated: July 10, 2001.

24. 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.

25. 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

26. Fractals fractals as music. In this sense, fractals are wonderful tools to generate numbersto use as pitches, durations, amplitudes, etc. in musical composition. 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.

27. 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.)

28. Fractals And Music Links Fractal music Sites. There are many sites out there which explain fractals,fractal music and the approaches to generate fractal music. http://www.shef.ac.uk/misc/personal/mup99np/res/framus.htm

Fractals and Music Why are fractals used in music Fractals in compositions Formula based composition Image-Music conversion Why are Fractals used in Music? Fractals are used in a formalistic composition situation. They are used to bring a certain degree of structure in either melody, rhythm or any other musical parameter. The advantage of using fractals for this process is highlighted by Richard Voss He tested the reaction of people from all sorts of backgrounds to see what kind of 'random' music they preferred. The result of his research (although challenged later) let to the believe that fractals are the best appreciated form. His conclusion was that one dealt with a good composition if it contained these fractal mechanisms. This very fundamentalistic statement was of course rightfully attacked by many composers. Although Voss' conclusions are not valid, the fact that fractal melodies are attractive to a public remains. Fractals in Composition 1. Formula based composition Rick Bidlack: Dodecanon I The basic constructive element of this composition is the Lorenz fractal. This curve is most interesting for musical purposes since its output consists of 3 variables. These can be mapped quit easily to the 3 main musical parameters: pitch, loudness and duration. The formula for the lorenz curve is: x'= O(y-x) y'=Rx-y-xz z'=xy-Bz

29. Cecdiscuss: The International Electroacoustic Community Discuss fractals in music. Subject fractals in music From Julia Dmitrioukova(bach@cityline.ru) Date Wed Nov 17 1999 083720 EST. Next http://alcor.concordia.ca/~kaustin/cecdiscuss/1999/2572.html

fractals in music Subject: fractals in music From: Julia Dmitrioukova ( bach@cityline.ru Date: Wed Nov 17 1999 - 08:37:20 EST Next message: Teddy Hultberg: "Oyvind Fahlstrom On the Air - Again!" Previous message: Carlos Palombini: "Contact articles search" Next in thread: Dennis Miller: "Re: fractals in music" Messages sorted by: [ date ] [ thread ] [ subject ] [ author ] Greetings to all! I am a musicologist from Moscow State Conservatory (Russia). For my ongoing article, I am looking for information about significant examples of using fractal algorithms in music of 1970-90-s. I am aware of several important examples in the electronic field (Austin, Dodge...) but I still have no an exhausting view, as well as I know almost nothing about examples in non-electronic instrumental music (probably Ligeti used fractals in some works?). Can anybody help me with such an information (at least to mention any sources of it - books, articles etc.)? Thank you in advance. I also would be happy to be acquainted with serious specialists (both musicologists and composers), who develop the area of new algorithmic

30. Cecdiscuss: The International Electroacoustic Community Discuss Re fractals in music. Subject Re fractals in music From Dennis Miller(dennismi@lynx.dac.neu.edu) Date Wed Nov 17 1999 214847 EST. http://alcor.concordia.ca/~kaustin/cecdiscuss/1999/2582.html

Re: fractals in music Subject: Re: fractals in music From: Dennis Miller ( dennismi@lynx.dac.neu.edu Date: Wed Nov 17 1999 - 21:48:47 EST Next message: TodorTodoroff: "Re : fractals in music" Previous message: Barry Truax: "Re: Granular Synthesis (the duo)" In reply to: Julia Dmitrioukova: "fractals in music" Next in thread: Miriam Rainsford: "Re: fractals in music" Reply: Dennis Miller: "Re: fractals in music" Messages sorted by: [ date ] [ thread ] [ subject ] [ author ] In response to the request for info on fractals: There is an article from Electronic Musician about fractals online at http://www.emusician.com/archive/9910/columns/square one It is introductory, but very well edited (I edited it :-) d. Next message: TodorTodoroff: "Re : fractals in music" Previous message: Barry Truax: "Re: Granular Synthesis (the duo)" In reply to: Julia Dmitrioukova: "fractals in music" Next in thread: Miriam Rainsford: "Re: fractals in music" Reply: Dennis Miller: "Re: fractals in music" Messages sorted by: [ date ] [ thread ] [ subject ] [ author ] This archive was generated by hypermail 2b27 Wed Jun 11 2003 - 13:09:13 EDT

31. The Fractal Music Project fractals provide extremely interesting musical results, and the field isbecoming one of the the most exciting fields of new music research. http://www.zainea.com/fractalmus.htm

Welcome to the Fractal Music Project Join the Blue Ribbon Anti-Censorship Campaign! What is Fractal Music? Fractal music is a result of a recursive process where an algorithm is applied multiple times to process its previous output. In wider perspective all musical forms, both in micro and macro level can be modelled with this process. Fractals provide extremely interesting musical results, and the field is becoming one of the the most exciting fields of new music research. Fractal music enthusiasts are encouraged to publish their works here. Links to physics, mathematics, algorithms and artificial intelligence, and further ideas concerning these pages are also welcomed. Papers on Fractal Music and related topics: Wind,Sand, and Sea Voyages: An Application of Granular Synthesis and Chaos to Musical Composition by Gary Lee Nelson Chua's Oscillator: Applications of Chaos to Sound and Music Recursion: A Paradigm For Future Music? by Nicholas Mucherino Nicola Tesla and Joseph Schillinger "THE MUSIC OF NT: The man who invented the Twentieth Century" by Bruno Degazio Self-similar Synthesis - On the border Between Sound and Music , Master Thesis from Shahrokh D. Yadegari, MIT 1992. (compressed Postscript file 2.2Mb)

32. MusiNum - The Music In The Numbers Theoretical Articles. fractals, Chaos and music by Patrick Edwin Swickard; Chaos,SelfSimilarity, musical Phrase and Form by Gerald Bennett; Fractal music Sites. http://reglos.de/musinum/

MusiNum - The Music in the Numbers by Lars Kindermann MusiNum is a free sonification program which turns numbers into generative fractal music. Everybody can create unique royalty free music for his homepage within few minutes. Interesting for mathematicans and other people who like to play. Fractal concepts, self-similarity and a new kind of symmetry are audible now! Theory Sounds Compose Online Download ... Contact number-theory . Perhaps the most fundamental entities in mathematics are the natural numbers: 1,2,3,4,5... They are something universal: It is a hard thing to imagine a mind which would count in a different way. But the style we write them down can vary: The decimal system based on the digits 0-9 is by no way the only or natural method to present numbers. It has just been arbitrarily chosen some time ago in history. The simplest notation is the binary notation which only uses the digits and 1. Computers always calculate in binary notation because it can be easily mapped to electrical devices: The presence of current means 1 and no current means 0. How the Numbers can make Music I wrote a program that counts. And because it is running on a computer it counts in binary notation of course. Then it adds up the digits in these binary numbers (i.e. counts the ones) and plays a note:

33. Kids Domain Music Games Java Games. Sound of Chaos Fractal music Make some neat music using fractals asyour guide . follow the links for more info about musicians who do this 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=''; 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. Musicianship Learn all sorts of cool stuff about music, and notes, and keys!

34. The Music Of José Oscar Marques The music of José Oscar Marques. The Strange Beauty of Fractal music. TOPOF PAGE. About fractals and Fractal music (and a few links) 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

35. Stereophile: Music & Fractals music fractals. John Atkinson, November, 1990. I would also add to Mr. Lambshead shypothesis the statement that music itself is also pseudofractal. http://www.stereophile.com/asweseeit/24/

Recent Additions Analog Sources Digital Sources Amplification ... Music in the Round Vote Previous Votes Soapbox Previous Soaps AV Links Previous News Master Index Contact Us 2004 Buyer's Guide Recordings Rec Comps Cool Stuff Back Issues AV Buyer's Guide AV Marketplace Digital Stereophle Jan Feb Mar April ... AV Marketplace John Atkinson, November, 1990 "Why do rhythms and melodies, which are composed of sound, resemble the feelings; while this is not the case for tastes, colors, or smells?" -Aristotle I claim no originality for the following idea, which could possibly answer Aristotle's question (footnote 1); I first saw it expounded in a letter from one John Lambshead, published in the English magazine Hi-Fi Review (footnote 2). Nevertheless, it ties in so closely with my own experience of digital audio that it struck me like a satori. Before continuing, I should explain what is meant by the word "fractal." In a nutshell, although formal geometry deals with objects that are one-, two-, or three-dimensional in nature-mathematicians and astrophysicists are happy with objects that have more than the traditional three dimensions; just be glad you don't find one of these weird beings sitting next to you in a bar-there are objects that turn out to have a fractional dimensionality. Clouds, coastlines, the branch structure of trees, the body's blood vessels, for example, are objects or systems which are defined by between one and two or between two and three dimensions. The thing these mathematically peculiar things have in common is a self-referring nature, wherein their macroscopic features are echoed in their fine structure, which is further echoed in their microscopic features, and so on

36. Applications Of Fractals (Landini 2512). fractals AND music. Schroeder, Manfred. fractals in music, chapter11 in CA Pickover (Ed.). Fractal Horizons The Future Use of fractals. http://www.stanford.edu/~jje/fractals/html/applications.html

37. ¡¶Gnomon: From Pharaoh To Fractals¡· fractals in music Introductory Mathematics for musical Analysis» CharlesMadden Hardcover August 1999 http://www.hrbust.edu.cn/xywz/east_new/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.

38. Chaffey's Fractals - Music Fractal music Links Last Updated February 28, 2003. Fractal music LABhttp//members.aol.com/strohbeen/fml.html by DT Strohbeen, http://www.chaffey.org/fractals/music/

Chaffey High School's FRACTALS on the Web http://www.chaffey.org/fractals/ Fractal Music Links Last Updated February 28, 2003 The Fractal Music Project http://www-ks.rus.uni-stuttgart.de/people/schulz/fmusic/ At the University of Stuttgart, Germany Fractal MIDI Music Here! (hold SHIFT+click to download) This is a .ZIP that contains a small collection of fractal MIDI music that was created by DT Strohbeen. Fractal Music LAB http://members.aol.com/strohbeen/fml.html by DT Strohbeen MIDI Piece - 'Fractal Window I' http://sprott.physics.wisc.edu/newpc1.htm Experiments in Fractal Music http://www.ozemail.com.au/~davesag/snd.html ... Dave Sag in Australia Hearing the Mandelbrot Set http://www.vanderbilt.edu/VUCC/Misc/Art1/Sonify/Mandi.html by Brian Evans at the Vanderbilt University, located in Nashville, Tennessee Sonic'sFractal Sounds http://www.galivant.com/~tjustman/sonic.htm Sonic Fractal conducts aural experiments in ambience and mood alteration. Symbolic Composer: "Composition Modelling " http://www-ks.rus.uni-stuttgart.de/people/schulz/fmusic/symbolic/mainpage.html his document describes the basic features of the Symbolic Composer professional. It is one of the richest music programming languages developed on a computer. Fractal Music by bojog http://www.bali-net.com/fracmus/

39. Complex Systems Research fractals, SelfOrganisation, Biological and Chemical Complexity, Nonlinearity,Branching Networks Random Walk Sampling, Electronic music and the DJ. http://www.swin.edu.au/chem/bio/fractals/refslist.htm

Complex Systems Research Fractals, Self-Organisation, Biological and Chemical Complexity, Nonlinearity, Branching Networks, Nanotechnology, Molecular Computing, Information Science, Art and Design S. cerevisiae cultured and differentially stained on CD. view gallery May 25 th , 2004 - Publication List for Dr Cameron L Jones one page overview in pictures audio, graphics and movies generated with molecular computing Interested in Higher Degree Research at PhD Level? JONES, C.L. (2004). Sound and Image Processing with Optical Bio-Nanocomputers: Implications for Molecular Computing of Digital Information. Problems of Nonlinear Analysis in Engineering Systems. No.1(20), v10: p.1-15 (in Russian p.16-21). PDF Extended Abstract PDF Preprint (~9MB) Journal Website JONES, C.L. (2004). A Rapid Method for Website Graphic Design Using Optical Bio-Computing . (Rapid Methods). ASM 2004 Annual Scientific Meeting. 26 September-1 October, Sydney, Australia. Australian Society for Microbiology. JONES, C.L. (2004). Exploiting the Surface Plasmon Resonance Effect Using Recordable Compact Discs for Gram-Stain Cell Classification. (Public Health Microbiology). ASM 2004 Annual Scientific Meeting.

40. The Chaos Metalink -- Featured Sites Don Archer s Fractal Art, music and Udraw fractals Site This multi-purposesite belongs to the director of MOCA, the Museum of Computer Art. http://www.industrialstreet.net/chaosmetalink/LiveSites.asp?CategoryID=4

A  B  C  D  E  F  G  H  I  J  K  L  M  N  O  P  Q  R  S  T  U  V  W  X  Y  Z

Page 2     21-40 of 192    Back | 1  | 2  | 3  | 4  | 5  | 6  | 7  | 8  | 9  | 10  | Next 20