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A characteristic of woodwind instruments is the cutoff frequency of their tone-hole lattice. Benade proposed a practical definition using the measurement of the input impedance, for which at least two frequency bands appear. The first one…

Classical Physics · Physics 2011-08-19 Elise Moers , Jean Kergomard

Even if the tuning between the first and second register of a clarinet has been optimized by instrument makers, the lowest twelfths remain slightly too large (inharmonicity). In this article, we study the problem from two different points…

Classical Physics · Physics 2007-05-23 Vincent Debut , Jean Kergomard , Franck Laloe

The register tube marks the invention of the clarinet in the early eighteenth century, tripling the range of its ancestor, the chalumeau, and giving it the widest range among wind instruments. Opening this narrow tube causes the fundamental…

Classical Physics · Physics 2026-01-06 Nathan Szwarcberg , Tom Colinot , Christophe Vergez , Michaël Jousserand

Music tone quality evaluation is generally performed by experts. It could be subjective and short of consistency and fairness as well as time-consuming. In this paper we present a new method for identifying the clarinet reed quality by…

Sound · Computer Science 2020-03-03 Yixin Wang , Xiaohong Guan , Youtian Du , Nan Nan

Simple models of clarinet instruments based on iterated maps have been used in the past to successfully estimate the threshold of oscillation of this instrument as a function of a constant blowing pressure. However, when the blowing…

Classical Physics · Physics 2014-07-16 Baptiste Bergeot , André Almeida , Christophe Vergez , Bruno Gazengel

Some early violins have been reduced during their history to fit imposed morphological standards, while more recent ones have been built directly to these standards. We can observe differences between reduced and unreduced instruments,…

Computer Vision and Pattern Recognition · Computer Science 2025-10-09 Philémon Beghin , Anne-Emmanuelle Ceulemans , François Glineur

This study investigates the role of localized nonlinear losses in the register hole on the production of second-register notes. First, an experiment is conducted to study the ability of a register hole to produce second register. A…

Classical Physics · Physics 2024-04-12 Nathan Szwarcberg , Tom Colinot , Christophe Vergez , Michaël Jousserand

This paper focuses on the oscillation threshold of single reed instruments. Several characteristics such as blowing pressure at threshold, regime selection, and playing frequency are known to change radically when taking into account the…

Classical Physics · Physics 2012-02-14 Sami Karkar , Christophe Vergez , Bruno Cochelin

In a simple model, the reed of the clarinet is mechanically loaded by the series combination of the acoustical impedances of the instrument itself and of the player's vocal tract. Here we measure the complex impedance spectrum of players'…

Classical Physics · Physics 2009-11-11 Claudia Fritz , Joe Wolfe

In classical music and in any genre of contemporary music, the tonal elements or notes used for playing are the same. The numerous possibilities of chords for a given instance in a piece make the playing, in general, very intricate, and…

Sound · Computer Science 2022-06-14 Steve Mathew D A

We recently developed a neural network that receives as input the geometrical and mechanical parameters that define a violin top plate and gives as output its first ten eigenfrequencies computed in free boundary conditions. In this…

Sound · Computer Science 2021-02-19 Davide Salvi , Sebastian Gonzalez , Fabio Antonacci , Augusto Sarti

The mathematics of musical intervals and scales has been extensively studied. Vastly simplified, our ears seem to prefer intervals whose frequency ratios have small numerator and denominator, such as 2:1 (octave), 3:2 (perfect fifth), 4:3…

History and Overview · Mathematics 2025-09-23 Matthias Beck , Emily Clader

When playing the clarinet, opening the register hole allows for a transition from the first to the second register, producing a twelfth interval. On an artificial player system, the blowing pressure range where the second register remains…

The concept of nonlinear modes is applied in order to analyze the behavior of a model of woodwind reed instruments. Using a modal expansion of the impedance of the instrument, and by projecting the equation for the acoustic pressure on the…

Classical Physics · Physics 2009-12-03 Daniel Noreland , Sergio Bellizzi , Christophe Vergez , Robert Bouc

Localized nonlinear losses are taken into account in a simple Raman clarinet model.The complete system is expressed as an iterated map, enabling to study the stability of the different playing regimes. A parametric study is carried out with…

Classical Physics · Physics 2025-03-28 Nathan Szwarcberg , Christophe Vergez , Tom Colinot , Michaël Jousserand

Of all the characteristics of a violin, those that concern its shape are probably the most important ones, as the violin maker has complete control over them. Contemporary violin making, however, is still based more on tradition than…

Computational Engineering, Finance, and Science · Computer Science 2021-02-09 Sebastian Gonzalez , Davide Salvi , Daniel Baeza , Fabio Antonacci , Augusto Sarti

Sound synthesis can be developed using physics-based modelling of the musical instruments. These methods need the description of the various parts of sound production mechanism, in particular a model of the acoustic resonator that have to…

Classical Physics · Physics 2009-01-13 Fabrice Silva , Philippe Guillemain , Jean Kergomard , Jean-Pierre Dalmont

In this paper we present mathematical and physical models to be used in the analysis of the problem of intonation of musical instruments such as guitars, mandolins and the like, i.e., we study how to improve the tuning on these instruments.…

Classical Physics · Physics 2010-01-26 Gabriele U. Varieschi , Christina M. Gower

The dynamical equations of clarinet-like systems are known to be reducible to a non-linear iterated map within reasonable approximations. This leads to time oscillations that are represented by square signals, analogous to the Raman regime…

Chaotic Dynamics · Physics 2010-09-21 Pierre-André Taillard , Jean Kergomard , Franck Laloë

When playing the clarinet, opening the register hole allows for a transition from the first to the second register, producing a twelfth interval. On an artificial mouth, the blowing pressure range where the second register remains stable…

Classical Physics · Physics 2025-12-12 Nathan Szwarcberg , Tom Colinot , Christophe Vergez , Michaël Jousserand
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