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

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APPENDIX B. PROGRAM LISTINGS 204 */ 1 if playable, 0 if not. double playabilityLevel(Minimum m); /* Determines the playability level of a playable Minimum. The playability level is determined by the rules generated by M5'. The M5' rules are implemented in this function. In general, 3.0 is easily playable while 1.0 is difficult to play. Parameters: m: the Minimum to be analysed Returns: The playability level as a double. */ double strengthLevel(Minimum m); /* Determines the strength level of a playable Minimum. The playability level is determined by the rules generated by M5'. The M5' rules are implemented in this function. In general, 4.0 is strong and bright while 1.0 is weak and dark. Parameters: m: the Minimum to be analysed Returns: The strength level as a double. */ Minimum getCompletedMinimum(Minimum m); /* Creates a copy of a given Minimum with all empty fields initialised to the average values of the expert set (cf M5'). Parameters: m: the Minimum to be analysed Returns: A new Minimum with NaN fields replaced with expert set averages. */ void pitchCorrection(Minimum m); /* Corrects the pitch of a playable Minimum according to experimental results from a number of flutists. Parameters: m: the Minimum to be analysed */ void analyseMultiphonics2(Vector playableminv); /* Determines if any two note multiphonics are playable in a set of playable notes for a fingering. Multiphonics are defined as notes which are "not harmonically related" (see code for details). Ouputs the multiphonic if so. Parameters: playableminv: the set of playable minima for a fingering */ void analyseMultiphonics3(Vector playableminv); /* Determines if any three note multiphonics are playable in a set of
APPENDIX B. PROGRAM LISTINGS 205 playable notes for a fingering. Multiphonics are defined as notes which are "not harmonically related" (see code for details). Ouputs the multiphonic if so. Parameters: playableminv: the set of playable minima for a fingering */ int noteDistance(Minimum m1, Minimum m2, Vector playableminv); /* Calculates the distance in playable notes between two given minima. Parameters: m1: the first minimum m2: the second minimum playableminv: the set of playable minima for a fingering Returns: The number of playable minima between the given two minima, plus 1. -1 if error. */ int pitchIndex(Vector minv); /* Calculates the sum of squares of cents of the given minima. Parameters: minv: the set of minima Returns: The result of the calculation (0 if no minima). */ char* allNotes(Vector playableminv); /* Concatenates the note strings of the playable notes for a fingering, delimited by ';' Parameters: playableminv: the set of playable minima for a fingering Returns: The concatenated null terminated string */ int harmonic(Minimum m1, Minimum m2, Vector playableminv); /* Determines whether two minima are harmonically related. See code for definition of harmonic. Parameters: m1: the first minimum m2: the second minimum playableminv: the set of playable minima for a fingering Returns: 1 if m1 and m2 are harmonic, 0 if not. */ int inArray(int* array, int size, int num); /* Determines whether an integer is present in a given sized array of integers. Parameters: array: the array of integers size: the number of elements in the array
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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 143 C
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APPENDIX A. IMPEDANCE SPECTRA 145 D
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APPENDIX A. IMPEDANCE SPECTRA 147 F
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APPENDIX A. IMPEDANCE SPECTRA 149 A
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APPENDIX A. IMPEDANCE SPECTRA 151 D
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APPENDIX B. PROGRAM LISTINGS 309 */
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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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