Description |
xxxiii, 382 pages : illustrations, music ; 27 cm. |
Series |
Music, Science & Technology ; Volume 1
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Music, science & technology ; v. 1.
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Bibliography |
Includes bibliographical references and index. |
Summary |
Music and mathematics have been connected since ancient times. During the twentieth century, however, many composers consciously started using many mathematical concepts, algebraic operations and theorems as bases for their creative processes. The first part of this volume deals with the relationship between music and mathematics in the music of composers such as Olivier Messiaen, Iannis Xenakis, Franco Evangelisti, Pierre Boulez, Arvo Pärt, Steve Reich and Philip Glass. A special section is then dedicated to Spanish composers, ranging from the first serialists and the aleatoric practices of the 50s and 60s (i.e. Juan Hidalgo, Cristóbal Halffter, Luis de Pablo, Carmelo A. Bernaola, Joaquim Homs, and Josep Soler), to those of the last forty years (Francisco Guerrero, Alberto Posada, José María Sánchez-Verdú, Iluminada Pérez Frutos, Nuría Gimenez Comas, Helga Arias and José López Montes). The theme continues in the second part of the book through the examination of prominent theories (Neo-Riemannian theory, diatonic set theory, theory of musical kaleidocycles), the use of diagrams and charts in music, the algorithmic evolution of music, contemporary compositional practices inspired by mathematical concepts; it arrives at studies on double canons and trichords. We publish a philosophical study in order to ask what the future of the relationship between music and mathematics will be at the beginning of the 21st century. Includes an introduction by Massimiliano Locanto. |
Contents |
Music composition, mathematics, and the modernist legacy / Massimiliano Locanto -- Messiaen et les mathématiques / Athanase Papadopoulos -- "My music makes no revolution" : thoughts on the role of mathematics in the work of Iannis Xenakis / Peter Hoffmann -- Simboli matematici nei titoli delle composizioni di Franco Evangelisti / Alessandro Mastropietro -- Boulez and mathematics / C. Catherine Losada -- 1 + 1 = 1 : the elegant mathematics of Arvo Pärt's Tintinnabulation / Andrew Shenton -- Mathematical considerations of the rhythmic patterns in the music of Steve Reich / Joel Haack -- Glass graphs / Richard Cohn -- Ars combinatoria : poéticas del número en la composición española contemporánea (1980-2018) : breve antología inacabada / Pedro Ordóñez Eslava -- Neo-Riemannian theory / Henry Klumpenhouwer -- Graphes et diagrammes, l'en-deçà de la composition / Franck Jedrzejewski -- L'evoluzione algoritmica della musica : omaggio a Jean-Claude Risset / Angelo Orcalli -- Where science-based music comes from : some cognitive remarks upon contemporary compositional practices inspired by mathematical concepts, operations, and objects / José L. Besada -- On near maximally even set-classes / Richard Hermann -- The role of mathematics for music in theory, composition, and performance / Guerino Mazzola -- Due esempi di Chim(us)ica. Dodici canoni tricordali e loro combinazioni ; Caleidocicli e canoni ritmici / Luigi Verdi -- Du partage moderne/contemporain en mathématiques et en musique à la lumière de Fernando Zalamea (Philosophie systématique de la mathématique contemporaine). |
Subject |
Music -- Mathematics.
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Music -- Mathematics. |
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Composition (Music) -- Mathematics.
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Composition (Music) -- Mathematics. |
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Composition (Music) |
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Music theory -- Mathematics.
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Music theory -- Mathematics. |
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Music -- 20th century -- History and criticism.
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Music. |
Chronological Term |
20th century |
Subject |
Musical temperament. |
Chronological Term |
1900-1999 |
Genre/Form |
Criticism, interpretation, etc.
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Added Author |
Illiano, Roberto, editor.
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Locanto, Massimiliano, writer of introduction.
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Added Title |
20th century music and mathematics |
ISBN |
9782503585703 |
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2503585701 |
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