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

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318 APPENDIX B. PROGRAM LISTINGS /* Calculates the transfer matrix relating the acoustic parameters on each side of the hole. Parameters: f: the frequency. h: the hole. Returns: The transfer matrix for the hole. */ complex holeInputImpedance(double f, Hole hole); /* Calculates the input impedance of a Hole. Parameters: f: the frequency. h: the hole. Returns: The input impedance of the hole. */ complex closedFingerHoleLoadZ(double f, Hole hole); /* Calculates the load impedance of a closed finger hole. Parameters: f: the frequency. h: the hole. Returns: The load impedance impedance of the hole. */ complex closedKeyedHoleLoadZ(double f, Hole hole); /* Calculates the load impedance of a closed keyed hole. Parameters: f: the frequency. h: the hole. Returns: The load impedance impedance of the hole. */ complex openFingerHoleLoadZ(double f, Hole hole); /* Calculates the load (radiation) impedance of an open finger hole. Parameters: f: the frequency. h: the hole. Returns: The load (radiation) impedance impedance of the hole. */ complex openKeyedHoleLoadZ(double f, Hole hole); /* Calculates the load (radiation) impedance of an open keyed hole. Parameters: f: the frequency. h: the hole. Returns: The load (radiation) impedance impedance of the hole.
APPENDIX B. PROGRAM LISTINGS 319 */ complex holeInnerRadiationImpedance(double f, Hole hole); /* Calculates the inner radiation impedance of a hole. Parameters: f: the frequency. h: the hole. Returns: The inner radiation impedance impedance of the hole. */ complex holeSeriesImpedance(double f, Hole hole); /* Calculates the series impedance of a hole. Parameters: f: the frequency. h: the hole. Returns: The series impedance impedance of the hole. */ TransferMatrix embouchureMatrix(double f, EmbouchureHole h, double entryratio, complex branchZ); /* Calculates the TransferMatrix for an EmbouchureHole. Parameters: f: the frequency in Hz h: the EmbouchureHole entryratio: the ratio of the input side radius (impedance head or embouchure) to the outside radius of the embouchure hole branchZ: the impedance of the impedance branch (upstream or downstream section) Returns: the TransferMatrix relating the acoustic parameters on the input side of the embouchure hole to those at the output side (inside of the instrument) */ double embouchureLengthCorrection(double a, double b); /* Returns the empirically-determined embouchure length correction. Parameters: a: the bore radius at the embouchure hole b: the inside radius of the embouchure hole Returns: the length correction */ complex embouchureSeriesResistance(double f, EmbouchureHole h, double entryratio); /* Returns the empirically-determined embouchure series resistance correction. Parameters: f: the frequency in Hz h: the EmbouchureHole entryratio: the ratio of the input side radius (impedance head or
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Flute acoustics: measurement, model
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To Renée iii
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vi I am grateful to my parents, Ros
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viii
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x 4.4 Conclusions and further direc
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2 CHAPTER 1. INTRODUCTION and the p
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4 CHAPTER 1. INTRODUCTION Figure 1.
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6 CHAPTER 1. INTRODUCTION 1.5 ACOUS
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8 CHAPTER 1. INTRODUCTION ‘in-tun
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10 CHAPTER 1. INTRODUCTION
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12 CHAPTER 2. THEORY AND LITERATURE
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k = ω c and pressure given by p(x,
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32 CHAPTER 3. MEASURING ACOUSTIC IM
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54 CHAPTER 4. FINGER HOLE IMPEDANCE
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98 CHAPTER 6. MATERIAL AND SURFACE
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104 CHAPTER 7. THE EMBOUCHURE HOLE
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112 CHAPTER 8. SOFTWARE IMPLEMENTAT
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128 CHAPTER 9. APPLICATIONS AND FUR
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142 APPENDIX A. IMPEDANCE SPECTRA C
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194 APPENDIX A. IMPEDANCE SPECTRA
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196 APPENDIX B. PROGRAM LISTINGS /*
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Page 350 and 351: 340 REFERENCES Botros, A., Smith, J
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