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

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236 APPENDIX B. PROGRAM LISTINGS Returns: A complex struct z with Re z = x and Im z = 0 */ complex imaginary(double y); /* Parameters: y: given double Returns: A complex struct z with Re z = 0 and Im z = y */ complex addz(complex z1, complex z2); /* Parameters: z1: given complex number. z2: given complex number. Returns: z1 + z2 ... The sum of z1 and z2 */ complex subz(complex z1, complex z2); /* Parameters: z1: given complex number. z2: given complex number. Returns: z1 - z2 ... z2 subtracted from z1 */ complex multz(complex z1, complex z2); /* Parameters: z1: given complex number. z2: given complex number. Returns: z1 x z2 ... The product of z1 and z2 */ complex divz(complex z1, complex z2); /* Parameters: z1: given complex number. z2: given complex number. Returns: z1 / z2 ... z1 divided by z2 */ complex expz(complex z1); /* Parameters: z1: given complex number. Returns: exp(z1) ... The complex exponential of z1 */ complex expjz(complex z1); /*
APPENDIX B. PROGRAM LISTINGS 237 Parameters: z1: given complex number. Returns: exp(j x z1) ... The complex exponential of (j x z1) */ complex coshz(complex z1); /* Parameters: z1: given complex number. Returns: cosh z1 ... The complex hyperbolic cosine of z1 */ complex sinhz(complex z1); /* Parameters: z1: given complex number. Returns: sinh z1 ... The complex hyperbolic sine of z1 */ complex cosz(complex z1); /* Parameters: z1: given complex number. Returns: cos z1 ... The complex cosine of z1 */ complex sinz(complex z1); /* Parameters: z1: given complex number. Returns: sin z1 ... The complex sine of z1 */ complex tanz(complex z1); /* Parameters: z1: given complex number. Returns: tan z1 ... The complex tan of z1 */ complex cotz(complex z1); /* Parameters: z1: given complex number. Returns: cot z1 ... The complex cotan of z1 */ complex logz(complex z1); /* Parameters: z1: given complex number.
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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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70 CHAPTER 5. IMPEDANCE SPECTRA OF
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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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144 APPENDIX A. IMPEDANCE SPECTRA F
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146 APPENDIX A. IMPEDANCE SPECTRA A
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150 APPENDIX A. IMPEDANCE SPECTRA D
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338 APPENDIX C. QUANTIFYING MUSIC s
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340 REFERENCES Botros, A., Smith, J
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342 REFERENCES Kob, M. & Neuschaefe
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