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Activity Number:
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444
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Type:
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Contributed
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Date/Time:
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Wednesday, August 6, 2008 : 2:00 PM to 3:50 PM
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Sponsor:
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Section on Statistical Education
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| Abstract - #300879 |
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Title:
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Golden-Ratio Forms in Piano Sonatas by Mozart and Haydn: A Statistical Analysis
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Author(s):
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Jesper Rydén*+
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Companies:
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Uppsala University
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Address:
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Department of Mathematics, Box 480, Uppsala, International, SE-75106, Sweden
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Keywords:
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golden ratio ; regression ; musicology ; application
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Abstract:
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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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- The address information is for the authors that have a + after their name.
- Authors who are presenting talks have a * after their name.
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