Tuning with Triangles

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Abstract:

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.

Document Type: Research Article

Publication date: November 1, 2008

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