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

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220 APPENDIX B. PROGRAM LISTINGS } } } } } int noteDistance(Minimum m1, Minimum m2, Vector playableminv) { int i; Minimum m; int posm1 = -1, posm2 = -1; /* find the positions of each minimum in vector */ for(i = 0; i < sizeVector(playableminv); i++) { m = (Minimum)elementAt(playableminv, i); if(m == m1) posm1 = i; if(m == m2) posm2 = i; } /* check for an invalid condition */ if((posm1 == -1) || (posm2 == -1) || (posm1 >= posm2)) return -1; else return (posm2 - posm1); } int pitchIndex(Vector minv) { int i; Minimum m; int index = 0; /* calculate sum of squares of cents */ for(i = 0; i < sizeVector(minv); i++) { m = (Minimum)elementAt(minv, i); index = index + (m->note->cents)*(m->note->cents); } return index; } char* allNotes(Vector playableminv) { int i; Minimum m; char* all_notes = (char*)malloc(BUFSIZ*sizeof(char)); /* for each note that is playable, concatenate into one string delimited by a ';' */ for(i = 0; i < sizeVector(playableminv); i++) { m = (Minimum)elementAt(playableminv, i); if(i == 0) sprintf(all_notes, noteString(m->note)); else { strcat(all_notes, ";"); strcat(all_notes, noteString(m->note)); } } /* return concatenated string */ return all_notes; } int harmonic(Minimum m1, Minimum m2, Vector playableminv) { int i;
APPENDIX B. PROGRAM LISTINGS 221 Minimum m; int n = sizeVector(playableminv); int midis[n]; int dmidi; int num_harmonic_midis = 11; int harmonic_midis[] = {0, 12, 19, 24, 28, 31, 33, 34, 36, 38, 40}; /* get the midi numbers of all playable minima. The difference in midi number of two notes is the number of semitones between them. */ for(i = 0; i < n; i++) { m = (Minimum)elementAt(playableminv, i); midis[i] = m->note->midi; } /* calculate number of semitones between two minima */ dmidi = m2->note->midi - m1->note->midi; /* if the minima are directly harmonically related (integer frequency ratio) */ if(inArray(harmonic_midis, num_harmonic_midis, dmidi)) return 1; /* if the minima have a common playable fundamental */ if((dmidi == 7 || dmidi == 16 || dmidi == 21 || dmidi == 22 || dmidi == 26) && inArray(midis, n, m1->note->midi - 12)) return 1; if((dmidi == 5 || dmidi == 9 || dmidi == 14 || dmidi == 15 || dmidi == 17 || dmidi == 21) && inArray(midis, n, m1->note->midi - 19)) return 1; if((dmidi == 4 || dmidi == 7 || dmidi == 9 || dmidi == 10 || dmidi == 14 || dmidi == 16) && inArray(midis, n, m1->note->midi - 24)) return 1; if((dmidi == 3 || dmidi == 5 || dmidi == 6 || dmidi == 8 || dmidi == 10) && inArray(midis, n, m1->note->midi - 28)) return 1; if((dmidi == 2 || dmidi == 3 || dmidi == 5 || dmidi == 7 || dmidi == 9) && inArray(midis, n, m1->note->midi - 31)) return 1; if((dmidi == 3 || dmidi == 5 || dmidi == 7) && inArray(midis, n, m1->note->midi - 33)) return 1; if((dmidi == 2 || dmidi == 4 || dmidi == 6) && inArray(midis, n, m1->note->midi - 34)) return 1; if((dmidi == 2 || dmidi == 4) && inArray(midis, n, m1->note->midi - 36)) return 1; if(dmidi == 2 && inArray(midis, n, m1->note->midi - 38)) return 1; /* otherwise, not harmonic */ return 0;
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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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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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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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