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A Pure Mathematical Relationship between Pitch and Position for Stringed Instruments

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DOI: 10.4236/am.2014.510143    3,020 Downloads   3,736 Views  

ABSTRACT

In this paper, a simple mathematical model was proposed to answer such a question: what’s the relationship between the finger pressing position and the corresponding pitch for stringed instruments? Furthermore, we compared the theoretical results with measurement results which were obtained from a guitar to prove that the model we propose is reliable. Result shows that relative errors of theoretical results and measurement results are from 0.18% to 1.8%. The mathematics model is more concise, direct and clear than physical model.

Conflicts of Interest

The authors declare no conflicts of interest.

Cite this paper

Yang, N. , Zhang, D. and Tian, Y. (2014) A Pure Mathematical Relationship between Pitch and Position for Stringed Instruments. Applied Mathematics, 5, 1503-1507. doi: 10.4236/am.2014.510143.

References

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