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

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APPENDIX B. PROGRAM LISTINGS 248 */ double** A(Vector points); double** B(Vector points); double** C(Vector points); double** D(Vector points); /* A, B, C, D return matrices necessary in calculating the least squares parabolic fit to a set of data points. Each function is passed a Vector of Points about the minimum to be fitted. Refer to Bevington (1969), "Data Reduction and Error Analysis for the Physical Sciences". */ #endif
APPENDIX B. PROGRAM LISTINGS 249 /* Minima.c By Andrew Botros, 2001-2004. Modified by Paul Dickens, 2006-2007. Listing B.14: Minima.c Characterises the minima of acoustic impedance spectra. Refer to Minima.h for interface details. IMPORTANT: Calculations are optimised for a spectrum resolution of 2Hz. NOTE: The weighting of the frequency of an impedance extremum fit to favour the absolute emtremum has been changed to an option in the function 'parabolaExt' with a default of 0 (no weighting). A block has also been added to the function 'extrema' to handle the case when the next point to be considered is equal to the previous one (this fixed a bug in the code). */ /* necessary define for some gcc math.h functions */ #ifndef _ISOC99_SOURCE #define _ISOC99_SOURCE #endif #include #include #include #include #include "Vector.h" #include "Point.h" #include "Note.h" #include "Minima.h" /* number of data points approximated around each minimum */ #define NUM_POINTS 11 /* number of points which must be consecutively increasing or decreasing to define the spectrum as rising or dropping. */ #define TWEAK 5 /* weight fit to absolute extremum? */ #define WEIGHT 0 /* to evaluate harmonics, a window is defined around the frequency f of the fundamental minimum: f +/- HARMONIC_WINDOW/100. Minima which lie within integer multiples of this window are deemed to be harmonics. */ #define HARMONIC_WINDOW 5.0 /* maximum number of harmonics used to calculate average impedance of harmonics */ #define HARMONICS_AVERAGED 3 Vector minima(Vector allpoints) { int i, j; Vector extv = extrema(allpoints); Extremum e, searche;
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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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APPENDIX B. PROGRAM LISTINGS 191 /*
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APPENDIX B. PROGRAM LISTINGS 193 */
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APPENDIX B. PROGRAM LISTINGS 327 }
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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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