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The Acoustics of "A0-B0 Mode Matching" in the Violin

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It has been found by many experienced violin makers that if a violin is adjusted so as to bring two of its low-frequency modes into close proximity, then players find the result very desirable. The modes in question are a modified Helmholtz air resonance, labelled A0, and a bending mode of the whole body, neck and fingerboard, labelled B0. In this paper a simple model is developed which allows the process of "matching" these two modes to be studied. The model is shown to predict behaviour in good agreement with measurements. Implications are studied, both for instrument makers carrying out this matching, and for possible explanations of the player preference for matched instruments. It is suggested that bowing transients must play a significant role, since effects on steady tones are confined to a very few notes on the instrument.
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Document Type: Research Article

Publication date: September 1, 1998

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  • Acta Acustica united with Acustica, published together with the European Acoustics Association (EAA), is an international, peer-reviewed journal on acoustics. It publishes original articles on all subjects in the field of acoustics, such as general linear acoustics, nonlinear acoustics, macrosonics, flow acoustics, atmospheric sound, underwater sound, ultrasonics, physical acoustics, structural acoustics, noise control, active control, environmental noise, building acoustics, room acoustics, acoustic materials, acoustic signal processing, computational and numerical acoustics, hearing, audiology and psychoacoustics, speech, musical acoustics, electroacoustics, auditory quality of systems. It reports on original scientific research in acoustics and on engineering applications. The journal considers scientific papers, technical and applied papers, book reviews, short communications, doctoral thesis abstracts, etc. In irregular intervals also special issues and review articles are published.
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