Nonlinear vibrations in the air column of a clarinet artificially blown

Abstract

A clarinet with all toneholes closed has been blown artificially and the respective variations of mouthpiece sound pressure, reed opening, and volume flow from the artificial mouth into the instrument have been measured. For a fixed lip adjustment (lip–reed contact position and height of the reed opening under lip pressure), several different vibratory states were found over the complete range of the blowing pressure. The states were stable within their respective regions, but sudden transitions took place from one state to the other when the blowing pressure was varied beyond the stable region. Multiple vibratory states were excitable in some ranges of the blowing pressure, the state excited being dependent upon the manner in which the blowing pressure was varied. The experiment was repeated for different lip adjustments. For the examples discussed, the closed tonehole fundamental of this instrument (D3 on the equally tempered scale) was inevitably produced, but other stable vibratory states were also excited. The vibratory states found for the lip adjustments presented were both periodic states emitting tones of pitch D3 or of much higher pitches, and aperiodic states most of which had an attractor of torus T2. At least one state of torus T3 was identified. Excitation regions of these vibratory states are described.

Oscillation regimes produced by an alto saxophone: Influence of the control parameters and the bore inharmonicity

“…8,9 However the emergence of quasi-periodic regimes in musical instruments is still a poorly understood phenomenon. For reed instruments, the paper by Dalmont et al 10 presents the first experimental evidence that the harmonicity of the resonances may influence the production of quasi-periodic regimes by an alto saxophone.…”

Why are Phragmites australis Canes Grown in an Udono Reed Bed the Best for Reeds of the Japanese Wind Instrument Hichiriki?: A Structural and Biomechanical Study

“…Plant anatomy and physical properties of A. donax related to the musical performance of the reeds of wind instruments such as clarinet, oboe, and bassoon have been studied by many researchers [4][5][6][7][8][9][10][11][12]. However, there are few papers regarding the plant anatomy and biomechanics of P. australis or hichiriki reeds (rozetsu in Japanese).…”

Sounding Mechanism of a Cylindrical Pipe Fitted with a Clarinet Mouthpiece

“…In this paper, we focus our attention on woodwind single-reed instruments with nearly cylindrical air columns, such as the clarinet, whose sounding mechanism was thoroughly studied experimentally by Idogawa et al, 7) and we carry out a numerical study of the sounding mechanism of a cylindrical pipe fitted with the clarinet mouthpiece (CPCM) as a simplified model system of the clarinet. The reason we choose the CPCM rather than the clarinet is as follows.…”