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1 /* -*- c-basic-offset: 4 indent-tabs-mode: nil -*- vi:set ts=8 sts=4 sw=4: */
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2
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3 /*
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4 Sonic Visualiser
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5 An audio file viewer and annotation editor.
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6 Centre for Digital Music, Queen Mary, University of London.
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7 This file copyright 2006 Chris Cannam.
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8
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9 This program is free software; you can redistribute it and/or
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10 modify it under the terms of the GNU General Public License as
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11 published by the Free Software Foundation; either version 2 of the
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12 License, or (at your option) any later version. See the file
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13 COPYING included with this distribution for more information.
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14 */
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15
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16 #include "Pitch.h"
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17 #include "Preferences.h"
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18
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19 #include <cmath>
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20
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21 float
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22 Pitch::getFrequencyForPitch(int midiPitch,
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23 float centsOffset,
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24 float concertA)
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25 {
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26 if (concertA <= 0.0) {
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27 concertA = Preferences::getInstance()->getTuningFrequency();
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28 }
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29 float p = float(midiPitch) + (centsOffset / 100);
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30 return concertA * powf(2.0, (p - 69.0) / 12.0);
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31 }
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32
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33 int
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34 Pitch::getPitchForFrequency(float frequency,
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35 float *centsOffsetReturn,
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36 float concertA)
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37 {
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38 if (concertA <= 0.0) {
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39 concertA = Preferences::getInstance()->getTuningFrequency();
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40 }
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41 float p = 12.0 * (log(frequency / (concertA / 2.0)) / log(2.0)) + 57.0;
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42
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43 int midiPitch = int(p + 0.00001);
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44 float centsOffset = (p - midiPitch) * 100.0;
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45
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46 if (centsOffset >= 50.0) {
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47 midiPitch = midiPitch + 1;
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48 centsOffset = -(100.0 - centsOffset);
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49 }
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50
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51 if (centsOffsetReturn) *centsOffsetReturn = centsOffset;
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52 return midiPitch;
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53 }
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54
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55 int
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56 Pitch::getPitchForFrequencyDifference(float frequencyA,
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57 float frequencyB,
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58 float *centsOffsetReturn,
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59 float concertA)
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60 {
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61 if (concertA <= 0.0) {
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62 concertA = Preferences::getInstance()->getTuningFrequency();
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63 }
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64
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65 if (frequencyA > frequencyB) {
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66 std::swap(frequencyA, frequencyB);
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67 }
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68
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69 float pA = 12.0 * (log(frequencyA / (concertA / 2.0)) / log(2.0)) + 57.0;
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70 float pB = 12.0 * (log(frequencyB / (concertA / 2.0)) / log(2.0)) + 57.0;
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71
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72 float p = pB - pA;
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73
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74 int midiPitch = int(p + 0.00001);
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75 float centsOffset = (p - midiPitch) * 100.0;
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76
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77 if (centsOffset >= 50.0) {
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78 midiPitch = midiPitch + 1;
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79 centsOffset = -(100.0 - centsOffset);
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80 }
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81
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82 if (centsOffsetReturn) *centsOffsetReturn = centsOffset;
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83 return midiPitch;
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84 }
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85
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86 static QString notes[] = {
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87 "C%1", "C#%1", "D%1", "D#%1",
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88 "E%1", "F%1", "F#%1", "G%1",
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89 "G#%1", "A%1", "A#%1", "B%1"
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90 };
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91
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92 static QString flatNotes[] = {
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93 "C%1", "Db%1", "D%1", "Eb%1",
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94 "E%1", "F%1", "Gb%1", "G%1",
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95 "Ab%1", "A%1", "Bb%1", "B%1"
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96 };
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97
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98 QString
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99 Pitch::getPitchLabel(int midiPitch,
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100 float centsOffset,
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101 bool useFlats)
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102 {
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103 int octave = -2;
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104
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105 if (midiPitch < 0) {
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106 while (midiPitch < 0) {
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107 midiPitch += 12;
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108 --octave;
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109 }
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110 } else {
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111 octave = midiPitch / 12 - 2;
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112 }
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113
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114 QString plain = (useFlats ? flatNotes : notes)[midiPitch % 12].arg(octave);
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115
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116 int ic = lrintf(centsOffset);
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117 if (ic == 0) return plain;
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118 else if (ic > 0) return QString("%1+%2c").arg(plain).arg(ic);
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119 else return QString("%1%2c").arg(plain).arg(ic);
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120 }
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121
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122 QString
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123 Pitch::getPitchLabelForFrequency(float frequency,
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124 float concertA,
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125 bool useFlats)
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126 {
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127 if (concertA <= 0.0) {
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128 concertA = Preferences::getInstance()->getTuningFrequency();
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129 }
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130 float centsOffset = 0.0;
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131 int midiPitch = getPitchForFrequency(frequency, ¢sOffset, concertA);
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132 return getPitchLabel(midiPitch, centsOffset, useFlats);
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133 }
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134
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135 QString
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136 Pitch::getLabelForPitchRange(int semis, float cents)
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137 {
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138 int ic = lrintf(cents);
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139
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140 if (ic == 0) {
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141 if (semis >= 12) {
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142 return QString("%1'%2").arg(semis/12).arg(semis - 12*(semis/12));
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143 } else {
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144 return QString("%1").arg(semis);
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145 }
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146 } else {
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147 if (ic > 0) {
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148 if (semis >= 12) {
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149 return QString("%1'%2+%3c").arg(semis/12).arg(semis - 12*(semis/12)).arg(ic);
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150 } else {
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151 return QString("%1+%3c").arg(semis).arg(ic);
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152 }
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153 } else {
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154 if (semis >= 12) {
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155 return QString("%1'%2%3c").arg(semis/12).arg(semis - 12*(semis/12)).arg(ic);
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156 } else {
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157 return QString("%1%3c").arg(semis).arg(ic);
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158 }
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159 }
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160 }
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161 }
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162
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163 bool
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164 Pitch::isFrequencyInMidiRange(float frequency,
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165 float concertA)
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166 {
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167 float centsOffset = 0.0;
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168 int midiPitch = getPitchForFrequency(frequency, ¢sOffset, concertA);
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169 return (midiPitch >= 0 && midiPitch < 128);
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170 }
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171
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