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Fractals In Music


Fractals In Music
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Fractals In Music


Fractals In Music
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Author : Charles B. Madden
language : en
Publisher: High Art Press
Release Date : 1999

Fractals In Music written by Charles B. Madden and has been published by High Art Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999 with Mathematics categories.


Fractals in Music 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. Book jacket.



Fractals And Music


Fractals And Music
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Author :
language : en
Publisher:
Release Date : 2011

Fractals And Music written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011 with Fractals categories.




Fractals And Music


Fractals And Music
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Author : David J. Weisberg
language : en
Publisher:
Release Date : 2000

Fractals And Music written by David J. Weisberg and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with Fractals in art categories.




Music And Mathematics


Music And Mathematics
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Author : John Fauvel
language : en
Publisher: Oxford University Press, USA
Release Date : 2006

Music And Mathematics written by John Fauvel and has been published by Oxford University Press, USA this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006 with Mathematics categories.


From ancient Greek times, music has been seen as a mathematical art, and the relationship between mathematics and music has fascinated generations. This work links these two subjects in a manner that is suitable for students of both subjects, as well as the general reader with an interest in music.



Fractals In Musical Composition


Fractals In Musical Composition
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Author : Cliff Sweet
language : en
Publisher:
Release Date : 1989

Fractals In Musical Composition written by Cliff Sweet and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989 with Composition (Music) categories.




Formalised Composition On The Spectral And Fractal Trails


Formalised Composition On The Spectral And Fractal Trails
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Author : Magnus Eldénius
language : en
Publisher: Goteborg University School of Music and Musicology
Release Date : 1998-01-01

Formalised Composition On The Spectral And Fractal Trails written by Magnus Eldénius and has been published by Goteborg University School of Music and Musicology this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998-01-01 with Composition (Music) categories.




The Applications Of Fractal Geometry And Self Similarity To Art Music


The Applications Of Fractal Geometry And Self Similarity To Art Music
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Author : Ilse Steynberg
language : en
Publisher:
Release Date : 2014

The Applications Of Fractal Geometry And Self Similarity To Art Music written by Ilse Steynberg and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014 with Fractals categories.


The aim of this research study is to investigate different practical ways in which fractal geometry and self-similarity can be applied to art music, with reference to music composition and analysis. This specific topic was chosen because there are many misconceptions in the field of fractal and self-similar music. Analyses of previous research as well as the music analysis of several compositions from different composers in different genres were the main methods for conducting the research. Although the dissertation restates much of the existing research on the topic, it is (to the researcher‟s knowledge) one of the first academic works that summarises the many different facets of fractal geometry and music.Fractal and self-similar shapes are evident in nature and art dating back to the 16th century, despite the fact that the mathematics behind fractals was only defined in 1975 by the French mathematician, Benoit B. Mandelbrot. Mathematics has been a source of inspiration to composers and musicologists for many centuries and fractal geometry has also infiltrated the works of composers in the past 30 years. The search for fractal and self-similar structures in music composed prior to 1975 may lead to a different perspective on the way in which music is analysed. Basic concepts and prerequisites of fractals were deliberately simplified in this research in order to collect useful information that musicians can use in composition and analysis. These include subjects such as self-similarity, fractal dimensionality and scaling. Fractal shapes with their defining properties were also illustrated because their structures have been likened to those in some music compositions. This research may enable musicians to incorporate mathematical properties of fractal geometry and self-similarity into original compositions. It may also provide new ways to view the use of motifs and themes in the structural analysis of music.



On Musical Self Similarity


On Musical Self Similarity
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Author : Gabriel Pareyón
language : en
Publisher: Gabriel Pareyon
Release Date : 2011

On Musical Self Similarity written by Gabriel Pareyón and has been published by Gabriel Pareyon this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011 with Music categories.




Fractal Music Hypercards And More


Fractal Music Hypercards And More
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Author : Martin Gardner
language : en
Publisher: American Mathematical Soc.
Release Date : 2020-10-06

Fractal Music Hypercards And More written by Martin Gardner and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-10-06 with Mathematics categories.


Martin Gardner's Mathematical Games columns in Scientific American inspired and entertained several generations of mathematicians and scientists. Gardner in his crystal-clear prose illuminated corners of mathematics, especially recreational mathematics, that most people had no idea existed. His playful spirit and inquisitive nature invite the reader into an exploration of beautiful mathematical ideas along with him. These columns were both a revelation and a gift when he wrote them; no one--before Gardner--had written about mathematics like this. They continue to be a marvel. This is the original 1992 edition and contains columns published from 1978-1979.



Random Precision


Random Precision
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Author : Igor Karača
language : en
Publisher:
Release Date : 2005

Random Precision written by Igor Karača and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Cellular automata categories.


Abstract: Automated composition is a form of algorithmic composition which always involves mechanical, or digital elements of decision-making, to make music with minimal human intervention. This is often done on a computer, with the aid of random number generation, rule-based systems, and various other algorithms. The idea of composing music by stochastic means, and using computers as an aid in music composition is still alive; there are many musicians and programmers such as Yo Kubota, Phil Thompson, David H. Singer, Phil Jackson and others, trying to develop software for automated composition, which is-- most of the time-- available as a free download from their respective websites. Some of the most popular programs, such as Gingerbread, FractMus, Texture and Fmusic use fractals, chaotic equations, and cellular automata simulations to create music. This thesis shows how algorithmic music is generated, and-- at the same time-- focuses on Fmusic, program that uses both fractals and cellular automata to generate music, and is flexible enough to allow composer to have control over many important musical parameters, such as rhythm, loudness, pitch distribution, panning, patch (timbre), patterns and transitions.