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Beethoven: The Musical Geometer: A Study of the Golden Ratio, Vesica Piscis and Pi in Beethoven's Music
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What makes Beethoven's music so timeless and of such obvious genius? He is a composer who has drawn much praise and there are many attempts to describe and explain why the music has such an impact on audiences and why it carries the listener to such heights. Musicologist R.K. Owens studies the unifying mathematics within the music of Beethoven. R.K. Owens maps out the geometry behind the music, using the Golden Ratio, the Vesica Piscis, Pi, the Unit Circle and the multiplications of 9 to demonstrate how the proportions of Beethoven's music corresponds with the pleasing symmetrical proportions ...
What makes Beethoven's music so timeless and of such obvious genius? He is a composer who has drawn much praise and there are many attempts to describe and explain why the music has such an impact on audiences and why it carries the listener to such heights. Musicologist R.K. Owens studies the unifying mathematics within the music of Beethoven. R.K. Owens maps out the geometry behind the music, using the Golden Ratio, the Vesica Piscis, Pi, the Unit Circle and the multiplications of 9 to demonstrate how the proportions of Beethoven's music corresponds with the pleasing symmetrical proportions present in the mathematics of nature. This book presents new discoveries and mathematical theories about the underlying geometry behind Beethoven's music that proportions the music according to the same mathematics that is present in nature. This mathematics is meticulously explained through three of Beethoven's most popular pieces with audiences, the 'Moonlight' Sonata, 'Emperor' Concerto and the 9th Symphony. By the end of this book, you will learn how Beethoven structured the geometry behind the music to create timeless masterpieces that resonate with people the world over.
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