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I think that rote numbers will not work. Wood is not a material of homogenous resilience, and xylophone bars are hollowed out for best resonance (and as part of tuning). So you need to figure in some waste material for experiments.


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Eq. 4.39 of H. Olsen, Music Physics and Engineering 1967 gives the equation for the fundamental frequency of a free bar. For this problem, where you have the same material and the same cross-sectional shape, the frequency is proportional to 1/(length squared)


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This question is more suited to physics stackexchange but anyway.. This shows you to calculate frequency of vibrating bars, rods and tubes: http://fiziks.net/physicsmusic/Experiment%2010.htm This is a paper on building a copper tube Xylophone: http://users.df.uba.ar/sgil/physics_paper_doc/papers_phys/lapp.pdf If you have any further questions check out ...



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