A Pure Mathematical Relationship between Pitch and Position for Stringed Instruments

• 作者: Dawei Zhang Nan Yang Yanling Tian
• 来源期刊: 应用数学(英文)
• 学科: 医学
• 关键词: Stringed Instrument FRET PITCH MATHEMATICAL Model
• 年，卷（期）: 2014,（10）
• 页码范围: 1503-1507
• 页数: 5页
• 分类号: R73

摘要

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.