TITLE:
A Pure Mathematical Relationship between Pitch and Position for Stringed Instruments
AUTHORS:
Nan Yang, Dawei Zhang, Yanling Tian
KEYWORDS:
Stringed Instrument, Fret, Pitch, Mathematical Model
JOURNAL NAME:
Applied Mathematics,
Vol.5 No.10,
June
3,
2014
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.