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.
 Guettler, K. and Thelin, H. (2012) Bowed-String Multiphonics Analyzed by Use of Impulse Response and the Poisson Summation Formula. The Journal of the Acoustical Society of America, 131, 766-772.
 Fioravanti, M., Goli, G. and Carlson, B. (2012) Structural Assessment and Measurement of the Elastic Deformation of Historical Violins: The Case Study of the Guarneri “del Gesu” Violin (1743) Known as the “Cannone”. Journal of Cultural Heritage, 13, 145-153.
 Chin, S.H.L. and Berger, J. (2010) Analysis of Pitch Perception of Inharmonicity in Pipa Strings Using Response Surface Methodology. Journal of New Music Research, 39, 63-73.
 Wong, A.K.K., Leung, S.H. and Lau, W.H. (1999) Design and Implementation of a Real-Time Digital Resonator for the Electric Cello. Computer Music Journal, 23, 48-58.