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Mathematics and music : models and morals
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Beynon, Meurig (2006) Mathematics and music : models and morals. In: The Bridges Conference : Mathematical Connections in Art, Music, and Science, London, England, 4 - 9 Aug 2006 pp. 437-444. (Unpublished)
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Abstract
The intimate association between mathematics and music can be traced to the Greek culture. It is well-represented in the prevailing Western musical culture of the 18th and 19th centuries, where the traditional cycle of fifths provides a mathematical model for classical harmony that originated with the well-tempered, and later the equal-tempered, keyboard. Equal-temperament gives equivalent status to all twelve tonal centres in the chromatic scale, leading to a high degree of symmetry and an underlying group structure. This connection seems to endorse the Pythagorean concept of music as exemplifying an ideal mathematical harmony. This paper examines the relationship between abstract mathematics and music more critically, challenging the idealized view of music as rooted in pure mathematical relations and instead highlighting the significance of music as an association between form and meaning that is negotiated and pragmatic in nature. In passing, it illustrates how the complex and subtle relationship between mathematics and music can be investigated effectively using principles and techniques for interactive computer-based modelling that in themselves may be seen as relating mathematics to the art of computing - a theme that is developed in a companion paper (viz. paper #082 in this directory).
| Item Type: | Conference Item (Paper) | ||||
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| Subjects: | M Music and Books on Music > ML Literature of music Q Science > QA Mathematics ?? QA1 ?? |
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| Divisions: | Faculty of Science, Engineering and Medicine > Science > Computer Science | ||||
| Library of Congress Subject Headings (LCSH): | Music -- Mathematics, Computer simulation | ||||
| Official Date: | August 2006 | ||||
| Dates: |
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| Page Range: | pp. 437-444 | ||||
| Status: | Peer Reviewed | ||||
| Publication Status: | Unpublished | ||||
| Conference Paper Type: | Paper | ||||
| Title of Event: | The Bridges Conference : Mathematical Connections in Art, Music, and Science | ||||
| Type of Event: | Conference | ||||
| Location of Event: | London, England | ||||
| Date(s) of Event: | 4 - 9 Aug 2006 | ||||
| Related URLs: |
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