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Download or read book Mathematische Musik - musikalische Mathematik written by and published by . This book was released on 2005 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Bernd Enders
Publisher :
ISBN 13 :
Total Pages : 137 pages
Book Rating : 4.:/5 (876 download)
Download or read book Mathematische Musik - musikalische Mathematik written by Bernd Enders and published by . This book was released on 2005 with total page 137 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Mathematische Musik - musikalische Mathematik written by and published by . This book was released on 2005 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Bernd Enders
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (315 download)
Download or read book Mathematische Musik - musikalische Mathematik written by Bernd Enders and published by . This book was released on 2005 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Heinz Götze
Publisher : Springer Science & Business Media
ISBN 13 : 364295474X
Total Pages : 107 pages
Book Rating : 4.6/5 (429 download)
Download or read book Musik und Mathematik written by Heinz Götze and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 107 pages. Available in PDF, EPUB and Kindle. Book excerpt: Am 24. Apri11984 fand unter Vorsitz von Herbert von Karajan das 15. Salzburger Musikgespdich (Ostersymposion) im Landesstudio des Osterreichischen Rundfunks statt. Die Salzburger Musikgesprache, die von der Herbert von Karajan-Stiftungjeweils im AnschluB an die Oster festspiele veranstaltet werden, stehen unter dem umfassenden Thema "Mensch und Musik", das jahrlich in unterschiedlicher Ausprligung von namhaften Fachvertretem diskutiert wird. So wurden in den ver gangenen Jahren Themen wie, Musik und Philo sophie", "Musik und Naturwissenschaft", Musik und Nervensystem" sowie "Musikerleben und Zeitgestalt" behandelt. DaB die Musikgesprache auch fUr auBergewohnliche Zusammen hange offen sind, erweist die Wahl des Themas "Musik und Mathema tik" fUr 1984. Obwohl dieses Thema seit der Antike immer wieder die Menschen fasziniert hat, muB die Frage, was Musik und Mathematik heute einander bedeuten, als weitgehend unbeantwortet gelten. So konnte das Musikgesprach nur ein Versuch sein, sich auf das Gemein same zu verstandigen und zu weiteren Auseinandersetzungen mit dem Thema anzuregen. In dem Musikgesprlich hat das Thema "Musik und Mathematik" eine vielseitige Behandlung schon dadurch erfahren, daB die aktiven Teilnehmer ein breites Fachspektrum reprasentieren: von der Musikwissenschaft bis zur Musikinterpretation und Komposition, von der Mathematik bis zur Informatik
Author : Guerino Mazzola
Publisher : Birkhäuser
ISBN 13 : 303488141X
Total Pages : 1310 pages
Book Rating : 4.0/5 (348 download)
Download or read book The Topos of Music written by Guerino Mazzola and published by Birkhäuser. This book was released on 2012-12-06 with total page 1310 pages. Available in PDF, EPUB and Kindle. Book excerpt: With contributions by numerous experts
Author : Karlheinz Schüffler
Publisher : Springer-Verlag
ISBN 13 : 3662598051
Total Pages : 272 pages
Book Rating : 4.6/5 (625 download)
Download or read book Proportionen und ihre Musik written by Karlheinz Schüffler and published by Springer-Verlag. This book was released on 2020-01-02 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: Klänge können harmonisch sein, Zahlenfolgen auch – ein Zufall? Dieses Buch behandelt eine musikalische Proportionenlehre, also die antike Lehre der Proportionen als die älteste und wichtigste gemeinsame Verankerung der beiden Kulturwissenschaften Mathematik und Musik. Die Musiktheorie der Töne, Intervalle, Tetrachorde, Klänge und Skalen ist nämlich das genaue musikalische Abbild der Gesetze der Arithmetik und ihrer Symmetrien in dem Regelwerk des Spiels mit Zahlen, ihren Proportionen und ihren Medietäten. Alleine schon das Wunder der sogenannten Harmonia perfecta maxima 6 – 8 – 9 – 12, deren Proportionen die Quinte sowie die Quarte bestimmen, die Oktave bilden und den ehernen Ganzton in ihrer Mitte haben, prägte das musikalische Gebäude der pythagoräischen Musik über Jahrtausende. Diese elementare Proportionenkette 6 : 8 : 9 : 12 ist zudem vollkommen symmetrisch und aus der arithmetischen wie auch aus der harmonischen Medietät der Oktavzahlen 6 und 12 aufgebaut. Dieses Buch entwickelt die Proportionenlehre als eine mathematische Wissenschaft und stellt ihr immer die musikalische Motivierung mittels zahlreicher Beispiele gegenüber. Die Leitidee ist die Herleitung einer Symmetrietheorie von der Harmonia perfecta maxima bis hin zur Harmonia perfecta infinita abstracta, einem Prozess unbeschränkter Tongenerierungen durch babylonische Mittelwerte-Iterationen. Dabei wird hieraus simultan sowohl die klassisch-antike Diatonik gewonnen als auch der Weg „vom Monochord zur Orgel“ neu beleuchtet. Das Werk enthält schließlich eine von der Mathematik geleitete Hinführung zu der antiken Tetrachordik wie auch zu den kirchentonalen Skalen und schließt mit einem Exkurs in die Klangwelten der Orgel. Hierbei führt uns die „Fußzahlregel der Orgel“ anhand von Beispielen in die Welt der klanglichen Dispositionen dieses Instruments und zeigt die Allgegenwärtigkeit der antiken Proportionenlehre auf. Dieses Buch eignet sich für alle, die Interesse an Mathematik und Musik haben.
Author : Guerino Mazzola
Publisher : Springer
ISBN 13 : 9783319429359
Total Pages : 0 pages
Book Rating : 4.4/5 (293 download)
Download or read book Cool Math for Hot Music written by Guerino Mazzola and published by Springer. This book was released on 2016-11-08 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook is a first introduction to mathematics for music theorists, covering basic topics such as sets and functions, universal properties, numbers and recursion, graphs, groups, rings, matrices and modules, continuity, calculus, and gestures. It approaches these abstract themes in a new way: Every concept or theorem is motivated and illustrated by examples from music theory (such as harmony, counterpoint, tuning), composition (e.g., classical combinatorics, dodecaphonic composition), and gestural performance. The book includes many illustrations, and exercises with solutions.
Author : Till Bovermann
Publisher : Springer
ISBN 13 : 9811029512
Total Pages : 406 pages
Book Rating : 4.8/5 (11 download)
Download or read book Musical Instruments in the 21st Century written by Till Bovermann and published by Springer. This book was released on 2016-12-09 with total page 406 pages. Available in PDF, EPUB and Kindle. Book excerpt: By exploring the many different types and forms of contemporary musical instruments, this book contributes to a better understanding of the conditions of instrumentality in the 21st century. Providing insights from science, humanities and the arts, authors from a wide range of disciplines discuss the following questions: · What are the conditions under which an object is recognized as a musical instrument? · What are the actions and procedures typically associated with musical instruments? · What kind of (mental and physical) knowledge do we access in order to recognize or use something as a musical instrument? · How is this knowledge being shaped by cultural conventions and temporal conditions? · How do algorithmic processes 'change the game' of musical performance, and as a result, how do they affect notions of instrumentality? · How do we address the question of instrumental identity within an instrument's design process? · What properties can be used to differentiate successful and unsuccessful instruments? Do these properties also contribute to the instrumentality of an object in general? What does success mean within an artistic, commercial, technological, or scientific context?
Author : Guerino Mazzola
Publisher :
ISBN 13 :
Total Pages : 222 pages
Book Rating : 4.3/5 (91 download)
Download or read book Gruppen und Kategorien in der Musik written by Guerino Mazzola and published by . This book was released on 1985 with total page 222 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Gareth Loy
Publisher : MIT Press
ISBN 13 : 0262516551
Total Pages : 501 pages
Book Rating : 4.2/5 (625 download)
Download or read book Musimathics, Volume 1 written by Gareth Loy and published by MIT Press. This book was released on 2011-08-19 with total page 501 pages. Available in PDF, EPUB and Kindle. Book excerpt: A commonsense, self-contained introduction to the mathematics and physics of music; essential reading for musicians, music engineers, and anyone interested in the intersection of art and science. “Mathematics can be as effortless as humming a tune, if you know the tune,” writes Gareth Loy. In Musimathics, Loy teaches us the tune, providing a friendly and spirited tour of the mathematics of music—a commonsense, self-contained introduction for the nonspecialist reader. It is designed for musicians who find their art increasingly mediated by technology, and for anyone who is interested in the intersection of art and science. In Volume 1, Loy presents the materials of music (notes, intervals, and scales); the physical properties of music (frequency, amplitude, duration, and timbre); the perception of music and sound (how we hear); and music composition. Calling himself “a composer seduced into mathematics,” Loy provides answers to foundational questions about the mathematics of music accessibly yet rigorously. The examples given are all practical problems in music and audio. Additional material can be found at http://www.musimathics.com.
Author : JAVIER ARBONÉS
Publisher :
ISBN 13 : 9789089988164
Total Pages : 160 pages
Book Rating : 4.9/5 (881 download)
Download or read book Die Mathematik der Musik written by JAVIER ARBONÉS and published by . This book was released on 2017-02-15 with total page 160 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Penousal Machado
Publisher : Springer
ISBN 13 : 3642369553
Total Pages : 201 pages
Book Rating : 4.6/5 (423 download)
Download or read book Evolutionary and Biologically Inspired Music, Sound, Art and Design written by Penousal Machado and published by Springer. This book was released on 2013-03-14 with total page 201 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the Second International Conference on Biologically Inspired Music, Sound, Art and Design, EvoMUSART 2013, held in Vienna, Austria, in March 2013, colocated with the Evo* 2013 events EuroGP, EvoCOP, EvoBIO, and EvoApplications. The 11 revised full papers and 5 poster papers presented were carefully reviewed and selected from 36 submissions. They cover a wide range of topics and application areas, including: generative approaches to music, graphics, game content, and narrative; robot gait creation; music information retrieval; computational aesthetics; the mechanics of interactive evolutionary computation; and the art theory of evolutionary computation.
Author : Roman Berger
Publisher :
ISBN 13 : 9783870050665
Total Pages : 185 pages
Book Rating : 4.0/5 (56 download)
Download or read book Musik und Mathematik written by Roman Berger and published by . This book was released on 2005 with total page 185 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Dirk Schlingmann
Publisher :
ISBN 13 : 9781733367615
Total Pages : pages
Book Rating : 4.3/5 (676 download)
Download or read book Music Via Math written by Dirk Schlingmann and published by . This book was released on 2019-07-31 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: This book demonstrates how mathematics can be useful to better understand and explore music and how to increase appreciation of the relationship between mathematics and music. An understanding of mathematics is important to having a greater appreciation of music. Mathematics can be useful to analyze, manipulate, and create music. The book discusses topics that are fundamentally related to music such as pleasing and unpleasing sounds, digital sound files, mathematical modeling of sound, pitch, timbre, dynamics, rhythm, consonance and dissonance, musical tone systems, musical notation, instrument design, MIDI (Musical Instrument Digital Interface), statistical analysis of musical compositions, and artistic creation of new styles of music using computing. Computer code has been included whenever possible to highlight the importance of computer programming.
Author : Gareth Loy
Publisher : MIT Press
ISBN 13 : 0262292750
Total Pages : 501 pages
Book Rating : 4.2/5 (622 download)
Download or read book Musimathics, Volume 1 written by Gareth Loy and published by MIT Press. This book was released on 2011-08-19 with total page 501 pages. Available in PDF, EPUB and Kindle. Book excerpt: A commonsense, self-contained introduction to the mathematics and physics of music; essential reading for musicians, music engineers, and anyone interested in the intersection of art and science. “Mathematics can be as effortless as humming a tune, if you know the tune,” writes Gareth Loy. In Musimathics, Loy teaches us the tune, providing a friendly and spirited tour of the mathematics of music—a commonsense, self-contained introduction for the nonspecialist reader. It is designed for musicians who find their art increasingly mediated by technology, and for anyone who is interested in the intersection of art and science. In Volume 1, Loy presents the materials of music (notes, intervals, and scales); the physical properties of music (frequency, amplitude, duration, and timbre); the perception of music and sound (how we hear); and music composition. Calling himself “a composer seduced into mathematics,” Loy provides answers to foundational questions about the mathematics of music accessibly yet rigorously. The examples given are all practical problems in music and audio. Additional material can be found at http://www.musimathics.com.
Author : Götz Kersting
Publisher : Birkhäuser
ISBN 13 : 9783031316395
Total Pages : 0 pages
Book Rating : 4.3/5 (163 download)
Download or read book Die Mathematik Hinter Klang und Musik written by Götz Kersting and published by Birkhäuser. This book was released on 2023-07-13 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Klang und Musik bieten vielfältiges Material, um die Anwendbarkeit von Mathematik darzulegen. Im vorliegenden Buch haben wir die Mathematik auf dem Niveau eines Bachelorstudiums vor Augen. Die Themen aufseiten von Klang und Musik betreffen u.a. Tonleitern, Schallwellen in Streich- und Blasinstrumenten, Kugelwellen, Töne und Obertöne, schwingende biegesteife Saiten und schwingende Membrane, Impedanz und gekoppelte schwingende (Klavier)saiten. Die Akustik bietet Anlass und viel Stoff, um auf ganz unterschiedliche Themen aus der Mathematik einzugehen und exemplarisch die Anwendbarkeit von ganz elementarer wie fortgeschrittener Mathematik darzulegen. Themen aus der Mathematik sind u.a. Kettenbrücke, die Wellengleichung, Fourieranalyse, Besselfunktionen und Besselgleichung, das Verfahren der stationären Phase, die Diskriminante von Polynomen. Das Konzept ist in mehreren Vorlesungen erprobt: Stoff aus Analysisvorlesungen wird durch die anschaulichen Themen dieses Buches lebendig gemacht, gedacht ist dabei gerade auch an Lehramtstudierende.
