A Pure Mathematical Relationship between Pitch and Position for Stringed Instruments ()
Nan Yang,
Dawei Zhang,
Yanling Tian
School of Mechanical Engineering, Tianjin University, Tianjin, China.
School of Mechanical Engineering, Tianjin University, Tianjin, China;Tianjin Key Laboratory for Control Theory & Applications in Complicated Systems, Tianjin, China;School of Mechanical Engineering, Tianjin University of Technology, Tianjin, China.
DOI: 10.4236/am.2014.510143
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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.
Share and Cite:
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.
Conflicts of Interest
The authors declare no conflicts of interest.
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