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.