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Some sessions have been moved to accommodate conflicts. Session numbers were resequenced April 4, 2008. This online program reflects these changes and always includes the most up-to-date information.


Activity Number: 444
Type: Contributed
Date/Time: Wednesday, August 6, 2008 : 2:00 PM to 3:50 PM
Sponsor: Section on Statistical Education
Abstract - #300879
Title: Golden-Ratio Forms in Piano Sonatas by Mozart and Haydn: A Statistical Analysis
Author(s): Jesper Rydén*+
Companies: Uppsala University
Address: Department of Mathematics, Box 480, Uppsala, International, SE-75106, Sweden
Keywords: golden ratio ; regression ; musicology ; application
Abstract:

The golden ratio (occasionally called the golden section or the golden mean) has attracted interest from people over the years. Scientists in a wide range of fields have explored or questioned possible presence of golden-ratio proportions. Examples are to be found in nature itself as well as in man-made creations (pieces of art, architecture). If possible, having a sample of observations at hand, a statistical test might be useful for judgment. Some popular beliefs, not to say myths, about the golden ratio can be regarded as misconceptions: statistical tests might be useful for judgment. In this paper we use a regression technique to investigate a problem from musicology: whether the golden-ratio proportion could be said to be present in piano sonatas by W.A. Mozart. The model allows for comparison with works by another master composer, J. Haydn.


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Revised September, 2008