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Tuning with Triangles

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This paper examines three historical geometric constructions for handcrafting stringed instruments. Using elementary geometry – in particular, triangles – these methods can provide quite good rational approximations to the irrationals that arise from tuning instruments in equal temperament. Interestingly, continued fractions help explain the accuracy of all approximations.
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Document Type: Research Article

Publication date: 2008-11-01

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