Please use this identifier to cite or link to this item: http://ktisis.cut.ac.cy/handle/10488/6997
Title: A frequency error model for fretted string instruments
Authors: Lane, John E.
Kasparis, Takis 
Keywords: Harmonic analysis;Mathematical models;Stringed instruments;Frequency, Speech
Category: Electrical Engineering, Electronic Engineering, Information Engineering
Field: Engineering and Technology
Issue Date: 2012
Publisher: S. Hirzel Verlag
Source: Acta Acustica united with Acustica, 2012, Volume 98, Issue 6, Pages 936-944
Abstract: A mathematical model, quantifying frequency error due to string displacement and the process of fretting a note on a string instrument, is presented. The model is developed starting with the standard relationship between length, tension, density, and frequency of a perfect string. The change in string length, as a result of displacing the string to a point behind a fret, is modeled by a set of parameters approximating the resulting shape of the fretted string. The string length model is then combined with an inharmonicity model which approximates the frequency deviation of the series of partials contained in the string's frequency spectrum. Inharmonicity is weakly dependent on the change in string tension due to fretting, but to first order, inharmonicity frequency errors of a string with finite bending stiffness are independent of the process of fretting a string.
URI: http://ktisis.cut.ac.cy/handle/10488/6997
ISSN: 16101928
DOI: 10.3813/AAA.918577
Rights: © 2012 S. Hirzel Verlag GmbH & Co
Type: Article
Appears in Collections:Άρθρα/Articles

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