Peak-picking identification technique for modal expansion of input impedance of brass instruments

Ablitzer, Frédéric

doi:10.1051/aacus/2021046

Cited by 4 publications

(1 citation statement)

References 19 publications

(45 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

“…This quantity is quite easily measured, and is represented in Figure 3a (blue curve). This measured impedance is then numerically fitted, in the frequency domain, by a sum of N individual acoustical resonance modes of the following form [23,32]:…”

Section: Input Impedancementioning

confidence: 99%

Diversity of ghost notes in tubas, euphoniums and saxhorns

et al. 2022

View full text Add to dashboard Cite

The ghost note is a natural note which can be played exclusively on bass brass instruments with a predominantly-expanding bore profile such as tubas, euphoniums or saxhorns. It stands between the pedal note – the lowest natural note playable, or first regime – and the instrument’s second regime. However, if the interval between the pedal note and the second regime remains close to an octave regardless of the instrument, the interval between the pedal note and the ghost note vary from a minor third to a perfect fourth. References about this note are very scarce, and it is not commonly known among tuba players. This study shows that an elementary brass model describing the player coupled to the instrument is capable of bringing both the ghost and the pedal note to light. Here, we adopt a dynamical systems point of view and perform a bifurcation analysis using a software of numerical continuation. The numerical results provided in terms of frequency intervals between pedal note and ghost note are compared with frequency intervals experimentally inferred from recordings of seven different types of tuba, each of them being played by two professional tuba players.

show abstract

Section: Input Impedancementioning

confidence: 99%

Diversity of ghost notes in tubas, euphoniums and saxhorns

et al. 2022

View full text Add to dashboard Cite

show abstract

Minimal blowing pressure allowing periodic oscillations in a model of bass brass instruments

et al. 2021

Self Cite

View full text Add to dashboard Cite

In this study, an acoustic resonator – a bass brass instrument – with multiple resonances coupled to an exciter – the player’s lips – with one resonance is modelled by a multidimensional dynamical system, and studied using a continuation and bifurcation software. Bifurcation diagrams are explored with respect to the blowing pressure, in particular with focus on the minimal blowing pressure allowing stable periodic oscillations and the associated frequency. The behaviour of the instrument is first studied close to a (non oscillating) equilibrium using linear stability analysis. This allows to determine the conditions at which an equilibrium destabilises and as such where oscillating regimes can emerge (corresponding to a sound production). This approach is useful to characterise the ease of playing of a brass instrument, which is assumed here to be related – as a first approximation – to the linear threshold pressure. In particular, the lower the threshold pressure, the lower the physical effort the player has to make to play a note [The Science of Brass Instruments. Springer-Verlag, 2021]. Cases are highlighted where periodic solutions in the bifurcation diagrams are reached for blowing pressures below the value given by the linear stability analysis. Thus, bifurcation diagrams allow a more in-depth analysis. Particular attention is devoted to the first playing regime of bass brass instruments (the pedal note and the ghost note of a tuba in particular), whose behaviour qualitatively differs from a trombone to a euphonium for instance.

show abstract

Experimental acoustic modal analysis of a tenor saxophone

Lucchetta

Schiaroli

Battista

et al. 2022

The Journal of the Acoustical Society of America

View full text Add to dashboard Cite

This paper presents an application of the Experimental Acoustic Modal Analysis (AMA) on a vintage 10 M Conn tenor saxophone. This technique originates from the traditional Modal Analysis which is commonly adopted to determine the dynamic behaviour of solid structures. The methodology is based on the measurement of Frequency Response Functions (FRFs) as a ratio of the acoustic pressure, measured by means of a set of microphones positioned along the saxophone body, and the volume velocity produced by an acoustic source and measured at the instrument input. The microphones are housed on the stripped saxophone keys by means of tailored three-dimensional printed adapters. The AMA makes use of the FRFs to extract modal parameters, such as resonance frequencies, loss factors, and mode shapes. These parameters pertain to the cavity modes of the saxophone passive resonator. The analysis has been performed for three different notes (B[Formula: see text], B, and C) and for two registers of the instrument in order to show the potential of the technique. Moreover, the influence of the mouthpiece volume on the cavity modes has been shown. The information obtained by AMA can find useful application in the validation of analytical or numerical models of this kind of musical instruments.

show abstract

Peak-picking identification technique for modal expansion of input impedance of brass instruments

Cited by 4 publications

References 19 publications

Diversity of ghost notes in tubas, euphoniums and saxhorns

Diversity of ghost notes in tubas, euphoniums and saxhorns

Minimal blowing pressure allowing periodic oscillations in a model of bass brass instruments

Experimental acoustic modal analysis of a tenor saxophone

Contact Info

Product

Resources

About