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Statistical analysis of golden-ratio forms in piano sonatas by Mozart and Haydn
Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Mathematics.
2007 (English)In: The Mathematical Scientist, ISSN 0312-3685, E-ISSN 1475-6080, Vol. 32, no 1, 1-5 p.Article in journal (Refereed) Published
Abstract [en]

The golden ratio is occasionally referred to when describing issues of form in various arts. Among musicians, Mozart (1756–1791) is often considered a master of form. Introducing a regression model, we carry out a statistical analysis of possible golden-ratio forms in the musical works of Mozart. The model allows for statistical hypothesis testing and comparison with similar compositions by another master composer, Haydn (1732–1809), of the same epoch.

Place, publisher, year, edition, pages
2007. Vol. 32, no 1, 1-5 p.
Keyword [en]
golden ratio, regression, correlation, music, sonata form
National Category
Mathematics
Identifiers
URN: urn:nbn:se:uu:diva-11143OAI: oai:DiVA.org:uu-11143DiVA: diva2:38911
Available from: 2007-06-01 Created: 2007-06-01 Last updated: 2017-12-11

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Rydén, Jesper

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