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

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APPENDIX B. PROGRAM LISTINGS 194 Calculates the transfer matrix at a discontinuity. Based on Pagneux et al. (1996) J. Acoust. Soc. Am. 100 p2034-48; Parameters: f: the frequency. c: the speed of sound. rho: the density of air. a1: the radius at the input side of the discontinuity. a2: the radius at the output side of the discontinuity. Returns: The transfer matrix of the discontinuity. */ #endif
APPENDIX B. PROGRAM LISTINGS 195 /* Acoustics.c By Paul Dickens, 2005 Listing B.2: Acoustics.c Acoustics library. Refer to Acoustics.h for interface details. */ #include #include #include "Acoustics.h" #include "Complex.h" double saturationVapourPressureWater(double T) { double C1, C2, C3, C4; C1 = 1.2811805e-5; C2 = 1.9509874e-2; C3 = 34.04926034; C4 = 6.3536311e3; return exp(C1*pow(T,2) - C2*T + C3 - C4/T); } double speedSound(double t, double p, double h, double x_c) { double f, T, p_sv, x_w; /* Calculate mole fraction of water vapour using equation in Cramer Appendix (p. 2515) */ f = 1.00062 + 3.14e-8*p + 5.6e-7*pow(t,2); T = t + 273.15; p_sv = saturationVapourPressureWater(T); x_w = h*f*p_sv/p; return speedSoundCramer(t,p,x_w,x_c); } double speedSoundCramer(double t, double p, double x_w, double x_c) { int i; double c = 0; double a[] = { 331.5024, 0.603055, -0.000528, 51.471935, 0.1495874, -0.000782, -1.82e-7, 3.73e-8, -2.93e-10, -85.20931, -0.228525, 5.91e-5, -2.835149, -2.15e-13, 29.179762, 0.000486 }; double coeff[] = {
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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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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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