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

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APPENDIX B. PROGRAM LISTINGS 310 */ the TransferMatrix for the UnitCell TransferMatrix woodwindMatrix(double f, Woodwind w, double entryratio, double x); /* Calculates the TransferMatrix for a Woodwind. Parameters: f: the frequency in Hz w: the Woodwind entryratio: the ratio of the input side radius (impedance head or embouchure) to the entry radius of the instrument x: distance along the Woodwind to calculate Returns: the TransferMatrix for the Woodwind */ int getZ0_c(Woodwind w, double x, complex* Z0, double* c); /* Calculates the characteristic impedance and speed of sound at a given lateral position along an instrument. Parameters: w: the Woodwind x: the distance along the Woodwind Z0: the return variable for the characteristic impedance c: the return variable for the speed of sound Returns: 1 if x within range 0 otherwise */ double boreLength(Vector bore); /* Calculates the length of a bore. Parameters: bore: a vector of BoreSegments Returns: the total length of the bore */ double woodwindLengthPos(Woodwind w); /* Calculates the length of a Woodwind in the positive direction. Parameters: w: the Woodwind Returns: the length of the Woodwind from the embouchure hole in the positive direction */ double woodwindLengthNeg(Woodwind w); /* Calculates the length of a Woodwind in the negative direction. Parameters: w: the Woodwind Returns: the length of the Woodwind from the embouchure hole in the negative direction
APPENDIX B. PROGRAM LISTINGS 311 */ complex impedance(double f, Woodwind w, double entryratio); /* Calculates the input impedance of a Woodwind. Parameters: f: the frequency in Hz w: the Woodwind entryratio: the ratio of the input side radius (impedance head or embouchure) to the entry radius of the instrument Returns: the input impedance of the woodwind */ complex playedImpedance(double f, Woodwind w, int midi); /* Calculates the input impedance of a Woodwind in combination with the player's face impedance. Parameters: f: the frequency in Hz w: the Woodwind midi: the MIDI number of the played note Returns: the input impedance of the played woodwind */ double woodwindEntryRadius(Woodwind w); /* Calculates the radius of the woodwind at the entry. Parameters: w: the Woodwind Returns: the outside radius of the embouchure hole (if present) otherwise the input radius of the first BoreSegment */ complex woodwindLoadZ(double f, Woodwind w); /* Calculates the load impedance at the end of a Woodwind. Parameters: f: the frequency in Hz w: the Woodwind Returns: the load impedance of the woodwind */ complex woodwindDownstreamZ(double f, Woodwind w); /* Calculates the input impedance of the section of the Woodwind downstream of the embouchure hole. Parameters: f: the frequency in Hz w: the Woodwind Returns: the downstream impedance of the Woodwind */ TransferMatrix traverseHoleMatrix(double f, Hole h);
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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 9 construct
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CHAPTER 2. THEORY AND LITERATURE RE
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k = ω c and pressure given by p(x,
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CHAPTER 3. MEASURING ACOUSTIC IMPED
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Table 3.1: Several of the more comm
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51 Chapter IV Finger hole impedance
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CHAPTER 4. FINGER HOLE IMPEDANCE SP
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CHAPTER 5. IMPEDANCE SPECTRA OF THE
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CHAPTER 6. MATERIAL AND SURFACE EFF
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CHAPTER 7. THE EMBOUCHURE HOLE AND
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CHAPTER 7. THE EMBOUCHURE HOLE AND
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D4 E4 F4 F#4 G4 G#4 A4 A#4 B4 C5 C#
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107 Chapter VIII Software implement
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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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