Musica mathematica: traditions and innovations in contemporary music

Collection:
Mokslo publikacijos / Scientific publications
Document Type:
Knyga / Book
Language:
Anglų kalba / English
Title:
Musica mathematica: traditions and innovations in contemporary music
Authors:
Povilionienė, Rima
Publication Data:
Frankfurt am Main ; New York : PL Academic Research, 2016.
Pages:
290 p
Originalus leidimas: Musica mathematica: tradicijos ir inovacijos šiuolaikinėje muzikoje Vilnius : Lietuvos muzikos ir teatro akademija, 2013.
Series:
Methodology of music research; vol. 9
Contents:
List of Analyzed Music Scores — Author’s Preface — Foreword: Mathesis as a Philosophy of the Beauty of Music — Part 1. A Retrospective of the Traditions of Musica Mathematica: 1. The Constructive Relationships between Music and Mathematics: The Pythagorean Conception of Universal Music and its Spread in the Worldview of Later Periods; 2. Semantic Interpretation of the Interaction between Music and Mathematics: Mystic Middle Ages and the Sacral Baroque; 3. Constructive Aspects of the Interaction between Music and other Arts; 4. Musica Mathematica in Practice: Aspects of Analysis — Part 2. The Renewal of Mathematical Techniques in Musical Compositions of the 20th and 21st Centuries: 1. Constructive Aspects of Music Composition; 2. Semantic Aspects of Music Composition — Part 3. Innovations of Mathematical Techniques in 20th and 21st Century Music: 1. The Mathematized Musical Graph; 2. Implications of Modern Mathematical Theories — Afterword — Bibliography — Index of Names — About the Author.
Subject Category:
LT
Muzika / Music.
Summary / Abstract:

ENThe concept of «musica mathematica» seeks to accurately examine the intersection of two seemingly radically different subject areas. From the perspective of a European perception, the definition of the science of music was a result of the Pythagorean concept of universal harmony. The Pythagoreans were the first in European culture to raise the issue of uniting music and mathematics, sound and number. In the three parts of the monograph, versatile cases of the intersection of music and mathematics are displayed, moving from philosophical and aesthetic considerations about mathesis to practical studies, discussing the interaction between music and other kinds of art (architecture, painting, poetry and literature), and providing a practical research of contemporary music compositions. Keywords: interaction of music and mathematics, contemporary music analysis, numerical proportions in music, advanced mathematics, musical cryptography, music and architecture, music and art, number symbolism.

DOI:
10.3726/b10528
ISBN:
9783631713815; 9783631713822; 9783631713839; 9783631713846
Subject:
Muzikologija / Musicology
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2025-11-20 13:39:22
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