Volume 6, 2022
|Number of page(s)||14|
|Published online||01 August 2022|
Diversity of ghost notes in tubas, euphoniums and saxhorns
Laboratoire d’Acoustique de l’Université du Mans (LAUM), UMR CNRS 6613, Institut d’Acoustique – Graduate School (IA-GS), CNRS, Le Mans Université, 72085 Le Mans, France
2 Aix Marseille Univ, CNRS, Centrale Marseille, LMA, Marseille, France
3 Laboratoire Manceau de Mathématiques – Le Mans Université, 72085 Le Mans, France
* Corresponding author: email@example.com
Accepted: 29 June 2022
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.
Key words: Brass instruments / Ease of playing / Dynamical systems / Linear stability analysis / Bifurcation analysis
© The Author(s), published by EDP Sciences, 2022
This is an Open Access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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