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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 #include "system/System.h"
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19
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20 #include <cmath>
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21
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22 float
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23 Pitch::getFrequencyForPitch(int midiPitch,
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24 float centsOffset,
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25 float concertA)
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26 {
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27 if (concertA <= 0.0) {
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28 concertA = Preferences::getInstance()->getTuningFrequency();
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29 }
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30 float p = float(midiPitch) + (centsOffset / 100);
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31 return concertA * powf(2.0, (p - 69.0) / 12.0);
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32 }
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33
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34 int
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35 Pitch::getPitchForFrequency(float frequency,
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36 float *centsOffsetReturn,
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37 float concertA)
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38 {
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39 if (concertA <= 0.0) {
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40 concertA = Preferences::getInstance()->getTuningFrequency();
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41 }
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42 float p = 12.0 * (log(frequency / (concertA / 2.0)) / log(2.0)) + 57.0;
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43
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44 int midiPitch = int(p + 0.00001);
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45 float centsOffset = (p - midiPitch) * 100.0;
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46
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47 if (centsOffset >= 50.0) {
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48 midiPitch = midiPitch + 1;
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49 centsOffset = -(100.0 - centsOffset);
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50 }
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51
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52 if (centsOffsetReturn) *centsOffsetReturn = centsOffset;
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53 return midiPitch;
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54 }
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55
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56 int
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57 Pitch::getPitchForFrequencyDifference(float frequencyA,
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58 float frequencyB,
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59 float *centsOffsetReturn,
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60 float concertA)
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61 {
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62 if (concertA <= 0.0) {
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63 concertA = Preferences::getInstance()->getTuningFrequency();
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64 }
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65
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66 if (frequencyA > frequencyB) {
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67 std::swap(frequencyA, frequencyB);
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68 }
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69
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70 float pA = 12.0 * (log(frequencyA / (concertA / 2.0)) / log(2.0)) + 57.0;
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71 float pB = 12.0 * (log(frequencyB / (concertA / 2.0)) / log(2.0)) + 57.0;
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72
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73 float p = pB - pA;
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74
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75 int midiPitch = int(p + 0.00001);
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76 float centsOffset = (p - midiPitch) * 100.0;
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77
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78 if (centsOffset >= 50.0) {
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79 midiPitch = midiPitch + 1;
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80 centsOffset = -(100.0 - centsOffset);
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81 }
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82
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83 if (centsOffsetReturn) *centsOffsetReturn = centsOffset;
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84 return midiPitch;
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85 }
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86
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87 static QString notes[] = {
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88 "C%1", "C#%1", "D%1", "D#%1",
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89 "E%1", "F%1", "F#%1", "G%1",
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90 "G#%1", "A%1", "A#%1", "B%1"
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91 };
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92
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93 static QString flatNotes[] = {
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94 "C%1", "Db%1", "D%1", "Eb%1",
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95 "E%1", "F%1", "Gb%1", "G%1",
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96 "Ab%1", "A%1", "Bb%1", "B%1"
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97 };
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98
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99 QString
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100 Pitch::getPitchLabel(int midiPitch,
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101 float centsOffset,
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102 bool useFlats)
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103 {
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104 int octave = -2;
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105
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106 if (midiPitch < 0) {
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107 while (midiPitch < 0) {
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108 midiPitch += 12;
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109 --octave;
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110 }
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111 } else {
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112 octave = midiPitch / 12 - 2;
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113 }
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114
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115 QString plain = (useFlats ? flatNotes : notes)[midiPitch % 12].arg(octave);
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116
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117 int ic = lrintf(centsOffset);
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118 if (ic == 0) return plain;
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119 else if (ic > 0) return QString("%1+%2c").arg(plain).arg(ic);
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120 else return QString("%1%2c").arg(plain).arg(ic);
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121 }
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122
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123 QString
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124 Pitch::getPitchLabelForFrequency(float frequency,
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125 float concertA,
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126 bool useFlats)
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127 {
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128 if (concertA <= 0.0) {
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129 concertA = Preferences::getInstance()->getTuningFrequency();
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130 }
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131 float centsOffset = 0.0;
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132 int midiPitch = getPitchForFrequency(frequency, ¢sOffset, concertA);
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133 return getPitchLabel(midiPitch, centsOffset, useFlats);
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134 }
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135
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136 QString
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137 Pitch::getLabelForPitchRange(int semis, float cents)
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138 {
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139 if (semis > 0) {
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140 while (cents < 0.f) {
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141 --semis;
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142 cents += 100.f;
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143 }
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144 }
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145 if (semis < 0) {
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146 while (cents > 0.f) {
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147 ++semis;
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148 cents -= 100.f;
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149 }
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150 }
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151
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152 int ic = lrintf(cents);
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153
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154 if (ic == 0) {
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155 if (semis >= 12) {
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156 return QString("%1'%2").arg(semis/12).arg(semis - 12*(semis/12));
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157 } else {
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158 return QString("%1").arg(semis);
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159 }
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160 } else {
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161 if (ic > 0) {
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162 if (semis >= 12) {
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163 return QString("%1'%2+%3c").arg(semis/12).arg(semis - 12*(semis/12)).arg(ic);
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164 } else {
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165 return QString("%1+%3c").arg(semis).arg(ic);
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166 }
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167 } else {
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168 if (semis >= 12) {
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169 return QString("%1'%2%3c").arg(semis/12).arg(semis - 12*(semis/12)).arg(ic);
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170 } else {
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171 return QString("%1%3c").arg(semis).arg(ic);
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172 }
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173 }
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174 }
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175 }
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176
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177 bool
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178 Pitch::isFrequencyInMidiRange(float frequency,
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179 float concertA)
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180 {
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181 float centsOffset = 0.0;
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182 int midiPitch = getPitchForFrequency(frequency, ¢sOffset, concertA);
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183 return (midiPitch >= 0 && midiPitch < 128);
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184 }
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185
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