Proceedings of the Stockholm Music Acoustics Conference, August 6-9, 2003 (SMAC 03), Stockholm, Sweden MEASUREMENT OF THE FORCE APPLIED TO THE MOUTHPIECE DURING BRASS INSTRUMENT PLAYING Jean-François PETIOT Institut de Recherche en Communications et Cybernétique de Nantes (UMR CNRS 6597 - Equipe MCM)- Ecole Centrale de Nantes, 1 rue de la Noë, BP 92101, 44321 Nantes Cedex 3 France [email protected] ABSTRACT In order to assess the load produced on the lips of the musician during brass instrument playing, a measuring system was developed. It permits the recording in real time of the axial force created on the mouthpiece, and allows the players to perform on their own instrument and mouthpiece, in their usual manner. Tests involving 3 categories of players (professional – advanced – beginners) were conducted with various musical phrases, articulations and nuances. For all players, the force between the mouthpiece and instrument always increases with increasing loudness and ascending pitch, but in different proportions. After an analysis of the causes of this force, the extent of these variations is described and an interpretation of the results is proposed. These measurements are particularly interesting for musicians and physicist as well, in order to understand what the control parameters of the embouchure are, and how to manage them. the diaphragm. The output is the acoustic pressure in the mouthpiece, which generates a regime of oscillation in the instrument. Many parameters control this process. Firstly, the instrument reacts on the lips of the musician, according to the acoustic characteristics of the instrument body (mainly the internal geometry or “bore”). The playing frequency of the note is thus strongly attracted toward the resonance frequency of the instrument [2]. Secondly, the musician can make vary the characteristics of the tone by controlling the tension of the muscles which position the lips. This is the crucial point of the learning of brasses, and succeeding in this lips’ control can take many years of hard practice. Finally, a third parameter control the embouchure of the musician: the force applied by the mouthpiece on the lips. Control of the muscles 1. INTRODUCTION Wind instruments (with the exception of those with a flute-like embouchure) are acoustic sources using a valve effect: the acoustic oscillation is the result of a destabilisation of a mechanical element whose movement changes the entrance crosssection of the instrument. This destabilisation is the result of a complex aeroelastic coupling between the mechanical element (the reed of a clarinet or the lips of a trombonist), the air flow entering the instrument as a result of the static overpressure in the mouth of the musician, and the instrument itself (the acoustic resonator) [1]. In the case of brass instruments, the vibrations of the lips of the musician are controlled both by the musician and the instrument itself [2]. When we focus on the musician as a “system”, several control parameters, which condition the natural frequency of the lips, have to be considered (tension, geometry, visco-elastic properties, ...). A great variety of musical sounds are obtained by the control and the management in "real time" of these parameters, this after several years of daily practice for the musician. Using a systemic approach, the embouchure of the musician can be seen as a particular system, which performs a function, or process, which results in an output. The block diagram of the embouchure is described figure 1. This diagram shows the output, input and control data of the system. The input is the static overpressure in the mouth of the musician, created in the lungs by Support force Static overpressure Acoustic characteristics of the instrument Acoustic pressure embouchure Figure 1: Block diagram of the embouchure of a musician. For all brass musicians, lips are a very sensitive area because they are often hardly solicited. Every musician is subjected to the phenomena of lips’ weakness, where it’s no longer possible to play, and where a rest is necessary. This phenomena is caused on the one hand by the fatigue of the muscles of the embouchure, whose tension must always be controlled, and on the other hand by the support of the mouthpiece on the lips, which marks and traumatises the tissues. All brass teachers agree on the fact that the force on the mouthpiece must be as weak as possible, and various techniques (“no pressing”) are developed so as to reduce its magnitude. But this force exists at various degrees for several reasons: - The force is necessary for the static airtightness between the lips and the mouthpiece; it avoids the air from escaping around the edges of the mouthpiece. This is inherent to the way brass instruments are played, and for having airtightness, the force cannot be nullified, - The force can be used to modify the mechanical behaviour of the lips. When one presses on the lips, the tissues becomes SMAC-1 Proceedings of the Stockholm Music Acoustics Conference, August 6-9, 2003 (SMAC 03), Stockholm, Sweden artificially more stiff, the mechanical characteristics of the oscillator are then modified, and the regime of vibration of the lips can be altered. In the same way, the variation of the force can modify the boundary conditions of the lips, and can eventually change the regime of vibration. We have clearly observed this phenomena with artificial mouths, where an increase of the force on the lips leads most of the time to a modification of the played note [2]. The support force on the mouthpiece can thus be used so as to compensate the inefficiency (or the fatigue) of the lips’ muscles. This force can momentary overcome a lack of technique or an excessive fatigue. But even if musicians are trained to carefully control this force, all of them use it at various degrees during playing. Previous studies on the embouchure of the brass player have specifically focused on the mouthpiece forces during playing. In [3], recordings of the mouthpiece pressure and air pressure variations by representative musicians are presented. For all players, the mouthpiece pressure increases with the pitch of the tones. A transducer for measuring the force applied to the mouthpiece is described in [4]. This transducer gives both the axial and sagittal forces created by the player on the mouthpiece. The magnitude of the force was not significantly related to the proficiency or playing style of the player. Another system, which allows simultaneously the recording of mouthpiece forces and teeth (incisor) deflection is proposed in [5]. Various brass instruments was studied, and authors conclude that lip tension must be responsible for the difference in teeth displacements, and is of major importance in stressing the incisors during brass instrument playing. We present in this article some results of our experiments on the study of the force created on the mouthpiece during brass playing. In order to better know this phenomena, how it appears and what are the influential factors, we developed a system for the measurement of the force while playing a particular brass: the fluegelhorn [6]. For recording purposes, the system was connected to a PC based data acquisition system. We investigated the influence on the magnitude of the force of factors like proficiency, dynamic of the tone, articulation, pitch and duration of the note, context of the note in the musical phrase. 2. EXPERIMENTAL STUDY 1.1. Description of the system The measuring system has been adapted on a fluegelhorn, by replacing the tuning slide of the instrument by a tube which can glide freely in the mouthpipe. It is composed of the following elements (see figure 2): - A tube, which glides in the instrument body, A ring 1, clamped to the tube, A ring 2, clamped to the instrument body, - A force captor (button load cells with strain gauges), located between the rings. Range: 0 10daN, precision: 0.1% Force captor Instrument body Mouthpiece Tube Ring 1clamped to the tube Ring 2 clamped to the body Figure 2: Description of the force captor. The force captor is glued to ring 2 and presses on ring 1. When one presses on the mouthpiece, the axial force is directly transmitted to the captor, the friction between the parts being neglected. With this system, the measurement of the axial force on the mouthpiece can be made under normal playing conditions: the musician can use his/her usual performing technique while measurements are made, and he/she is not very disturbed by the system. The synoptic of the PC based data acquisition system is presented figure 3. Force captor BC 302 Amplifier ME52 AJ Supplying ME52AL26 ±10V A/D board CIO-DAS08/Jr-AO 12bits 26Vdc Graphs Visualisation Excel/Matlab Acquisition software Labtech notebook Figure 3: Synoptic of the acquisition system. The measurement error is mainly due to the friction between the tube and the body of the instrument, and the gap between the position of the captor and the axis of the mouthpiece. A mechanical modelling of the friction between the parts leads to an estimation of this error of about 5%. 1.2. Experiments Three brass musicians participated in the study. One was highly proficient (professional), being full time professional player in jazz big bands (5 hours per day); one was of advanced proficiency (advanced), having at least 20 years of practice as amateur (5 hours per week), and the last one of medium SMAC-2 Proceedings of the Stockholm Music Acoustics Conference, August 6-9, 2003 (SMAC 03), Stockholm, Sweden 4,0 3,5 medium 3,0 advanced 2,5 force (daN) proficiency (medium), with 5 years experience of the instrument (2 hours per week). The musicians used their own mouthpiece for the tests. The tests consisted in playing successively an ascending and descending two octaves arpeggio (with no valves operated) in different style (staccato and legato), and different intensities (mezzo forte, fortissimo). The tempo was around 60 per quarter note for all tests. professional 2,0 1,5 1,0 1.3. Results Each musician performed several attempts. We did not represent the average value of the force because it “smoothes” the curves, and the time scale was not exactly the same for all attempts. Even if the results presented concern particular tries, they are representative of the behaviour of the musician. Figures 4, 5, 6, 7 present the magnitude of the mouthpiece force as a function of time for various arpeggios and intensities. 0,5 0,0 0 1 2 3 4 5 6 7 8 time (s) 9 10 11 12 13 14 3,0 medium 2,5 advanced ff professional force (daN) 2,0 Figure 6: force(time) for arpeggio 1, dynamic ff. 1,5 3,0 1,0 2,5 0,5 medium advanced professional 0 1 2 3 4 5 6 7 8 9 time (s) 10 11 12 13 14 15 force (daN) 2,0 0,0 1,5 1,0 0,5 0,0 m f 0 1 Figure 4: force(time) for arpeggio 1, dynamic mf. 2 3 4 5 6 7 8 time (s) 9 10 11 12 13 14 3,0 medium advanced professional 2,5 mf force (daN) 2,0 Figure 7: force(time) for arpeggio 3, dynamic mf. 1,5 1,0 3. DISCUSSION 0,5 For all tests and all musicians, the magnitude of the force always increases when the pitch of the note increases. This observation is in accordance with the intuition, and with previous studies [3, 4, 5]. The magnitude of the force varies according to the proficiency of our set of musicians. Higher is the level, weaker is the maximum force. We think that an intensive and regular practice of the instrument leads to a sharp control of the playing parameters: control of the embouchure, control of the air pressure and the air flow. The “professional” musician use a force two or three time 0,0 0 1 2 3 4 5 6 7 8 time (s) 9 10 11 12 13 14 15 mf Figure 5: force(time) for arpeggio 2, dynamic mf. SMAC-3 Proceedings of the Stockholm Music Acoustics Conference, August 6-9, 2003 (SMAC 03), Stockholm, Sweden less in average than the “medium” musician, and can in this way increase the duration of playing without having rest. The magnitude of the force increases with the intensity of the tones (up to +20% from mf to ff). As the air pressure increase with the intensity, an increasing of the force is necessary to maintain the static airtightness between the lips and the mouthpiece. On figure 6, peaks in the force curve can be observed for the “medium” musician. These peaks appear before each changing of notes. The “medium” musician uses a brief increase of the force for helping the changing of note. This behaviour is typical of a musician who does not have a strong control of his/her embouchure. In fact, among the playing parameters of the fluegelhorn (control of the embouchure, control of the air pressure and the air flow, control of the force on the mouthpiece), a beginner will use the most instinctive and easiest controllable parameter: the force on the mouthpiece. This phenomena, which increases with the intensity of the notes, is absent for the professional musician, who learned to change the note by modifying the embouchure, mainly by pressing the lips vertically against each others. Furthermore, the force generated by the “medium” musician for the emission of a note is generally greater than the force used for the sustain of this note (figure 6). On figure 7, when notes are played separately, the magnitude of the force between two notes decreases with the proficiency of the musician. The “medium” musician keep on pressing the mouthpiece even if no note is played. This point is of major importance for having endurance and resistance during a session. For all musicians, the force used for notes played separately is globally higher than the force needed for slurring notes. This can be explained by the fact that the musician can control continuously the parameters during slurred playing. Conversely, for notes played separately, a continuous control of the parameter is no longer possible, because no tone precedes the emission. A increasing of the force could then be necessary so as to insure the emission. For all tests (figure 4, 5, 6, 7), force curves are not symmetrical (at various degrees), whereas all musical phrases are symmetrical. The tendency is that descending intervals need a greater force than the same ascending intervals. The control of the release of the embouchure and the air pressure during descending intervals seems to be more difficult than the control of the contraction (this is confirmed by many brass players). The musician has recourse to an increasing of the force so as to insure a descending interval. have been made, with various musical phrases. We have presented the results for three musicians of different proficiency. The analysis of the measurements allows a better understanding of the playing parameters of the fluegelhorn. The main result is that the mouthpiece pressure was related, with our musicians, to their proficiency. The mouthpiece pressure seems to be in many case a substitute for muscular tension and embouchure control. The device could be used by beginners to feel that this pressure is undesirable when it takes over what muscular tension should do. The findings have to be tested with large scale tests with several subjects, in order to prove the significance of the observations (statistical analysis). 5. ACKNOWLEDGMENTS We acknowledge the help of Yannick Neveu, professional trumpet player, for his participation. 6. REFERENCES [1] Fletcher, N.H. and Rossing, T. D. “The physics of musical Instruments”, Springer Verlag, New-York, 1991. [2] Gilbert, J., Ponthus, S., Petiot, J.F., “Artificial buzzing lips and brass instruments : experimental results”, J. Acoust. Soc. Am. 104, 1627-1632, 1998. [3] Henderson, H.W., “An experimental study of trumpet embouchure”, J. Acoust. Soc. Am, Vol. 13, pp 58-64, 1942. [4] Bardenel, J-C., “Mouthpiece forces produced while playing the trumpet”, Journal of Biomechanics. Vol. 21, No.5, pp. 417-424, 1988. [5] Borchers, L., Gebert, M., Jung, T., “Measurement of tooth displacements and mouthpiece forces during brass instrument playing, Med. Eng. Phys., Vol.17, No.8, pp 567570, 1995. [6] Petiot, J-F. and Besnard, F., “Mesures de la force d’appui de l’embouchure sur les lèvres lors du jeu des cuivres’, Revue trimestrielle Médecine des Arts ISSN 1240-3784. N° 34 pp 7-9. December 2000. 4. CONCLUSIONS We have presented in this paper a system for the measurement of the force applied on the mouthpiece during brass instrument playing. The system is easy to use and does not necessitate complex modifications in the case of the fluegelhorn. We are going to adapt the device to the trumpet. Several measurements SMAC-4
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