Flute acoustics: measurement, modelling and design - School of ...

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CHAPTER 4. FINGER HOLE IMPEDANCE SPECTRA AND LENGTH CORRECTIONS 58 (a) (b) (c) Figure 4.3: Photographs of the finger holes measured. The hole length t varied from (a) 1.0 mm, to (b) 2.5 mm and (c) 5.0 mm while the radius ratio b/a varied from 0.1 to 1.0. The tube inner radius a was 7.5 mm.
CHAPTER 4. FINGER HOLE IMPEDANCE SPECTRA AND LENGTH CORRECTIONS 59 10 8 frequency (Hz) b/a = 0.1 10 7 Z s (Pa s m −3 ) 10 6 b/a = 1.0 10 5 500 1000 1500 2000 2500 3000 3500 Figure 4.4: The shunt impedance Z s for open finger holes of length 2.5 mm and b/a = 0.1 to 1.0 in steps of 0.1, a = 7.5 mm. 0.9 this work Dalmont et al. 2001 0.8 0.7 δ cyl / a 0.6 0.5 0.4 0.3 0 0.2 0.4 0.6 0.8 1 flange ratio Figure 4.5: The measured length correction δ cyl for radiation from open finger holes of length 1.0 mm compared to the fit-formula of Dalmont et al. (2001). The ‘flange ratio’ is the ratio of the radius of the finger hole to the radius of the cylindrical flange.
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Flute acoustics: measurement, model
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To Renée iii
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v I am grateful to my parents, Ross
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vii Contents Dedication . . . . . .
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1 Chapter I Introduction The world
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CHAPTER 1. INTRODUCTION 3 Figure 1.
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CHAPTER 1. INTRODUCTION 5 Figure 1.
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CHAPTER 8. SOFTWARE IMPLEMENTATION
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CHAPTER 9. APPLICATIONS AND FURTHER
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Tuning (cents) CHAPTER 9. APPLICATI
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Mean tuning (cents re A 400) Tuning
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APPENDIX A. IMPEDANCE SPECTRA 137 C
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APPENDIX A. IMPEDANCE SPECTRA 139 F
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APPENDIX A. IMPEDANCE SPECTRA 141 A
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APPENDIX A. IMPEDANCE SPECTRA 145 D
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APPENDIX A. IMPEDANCE SPECTRA 161 E
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189 Appendix B Program listings B.1
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APPENDIX B. PROGRAM LISTINGS 191 /*
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331 Appendix C Quantifying music Th
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333 References Åbom, M. & Bodén,
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REFERENCES 335 Dubos, V., Kergomard
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REFERENCES 337 Strong, W. J., Fletc
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