| List of figures | p. x |
| List of tables | p. xi |
| Preface and acknowledgements | p. xiii |
| Preliminaries | p. 1 |
| Musical arithmetic | p. 1 |
| Musical sensations | p. 1 |
| Sound | p. 3 |
| Pitch and frequency | p. 5 |
| Transients | p. 6 |
| Auralising | p. 7 |
| Representing intervals | p. 8 |
| About hearing | p. 8 |
| Time in music | p. 10 |
| Aural archaeology | p. 12 |
| The origins of music: making noises | p. 12 |
| Noise-making artefacts | p. 13 |
| Sustained-pitch instruments | p. 14 |
| Hearing selects intervals | p. 17 |
| Introduction | p. 17 |
| The pentatonic scale | p. 18 |
| The pitch ratios | p. 18 |
| Derivation of the pentatonic scale | p. 20 |
| Using the scale | p. 22 |
| The octave | p. 22 |
| The extension of the pentatonic scale | p. 24 |
| The heptatonic scales | p. 26 |
| A visually determined scale | p. 26 |
| Drones | p. 28 |
| The historical puzzle | p. 28 |
| Non-harmonic scales | p. 30 |
| The beguiling harmonic theory | p. 32 |
| Helmholtz resonators | p. 32 |
| Instrument harmonics | p. 34 |
| The flaw in the harmonic theory | p. 35 |
| The real questions about harmonics | p. 38 |
| Tone and timbre | p. 40 |
| Identifying instrument sounds | p. 41 |
| Defining tone | p. 41 |
| Timbre and discriminating pitch | p. 43 |
| Investigating tone | p. 44 |
| The harmonic contribution to pitch | p. 45 |
| Harmonicity and tone | p. 46 |
| The selection of instrumental tone | p. 47 |
| Timbre and the player | p. 48 |
| Vibrato | p. 49 |
| The susceptibility of hearing | p. 49 |
| Harmonic noise and the seventh fairytale | p. 51 |
| Conclusion | p. 52 |
| The imitating voice | p. 54 |
| Hearing simultaneous pitches | p. 58 |
| The medieval situation | p. 58 |
| The organ | p. 58 |
| The discovery of a twelve-pitch scale | p. 59 |
| The tuning problem | p. 60 |
| The just scale | p. 62 |
| Selecting intervals | p. 62 |
| Harpsichord interval sensations | p. 63 |
| Beats | p. 64 |
| How do we judge intervals? | p. 67 |
| Interval pitch patterns | p. 68 |
| The reality of simultaneous intervals | p. 70 |
| Equal-temperament | p. 71 |
| The piano | p. 72 |
| Consecutive intervals | p. 74 |
| Intonation and pitch stability | p. 74 |
| Patterns in harmony | p. 76 |
| The basis of harmony | p. 76 |
| The harmonic sensation | p. 79 |
| Harmonic shorthands | p. 80 |
| Learning harmony | p. 81 |
| Other simultaneous-pitch phenomena | p. 81 |
| The three-tones paradox | p. 83 |
| Can we hear harmonics? | p. 83 |
| Loudness | p. 85 |
| The basic dynamic scale | p. 85 |
| Loudness and frequency | p. 86 |
| Loudness and tone | p. 87 |
| Loudness and pitch | p. 87 |
| Varying loudness | p. 88 |
| Music through the hearing machine | p. 89 |
| The questions | p. 89 |
| The evolutionary background | p. 90 |
| An overview of the hearing system | p. 92 |
| The hearing range | p. 94 |
| The sound receiver | p. 95 |
| The travelling wave | p. 99 |
| Signalling loudness | p. 100 |
| The hair cell's limitation | p. 101 |
| The discovery of the sound code | p. 102 |
| Pitch discrimination | p. 105 |
| Minimum duration for pitch | p. 106 |
| Producing a pure-tone sensation | p. 106 |
| Signalling sound with harmonics | p. 108 |
| The generation of hiss and buzz | p. 111 |
| Low and high frequencies | p. 112 |
| The creation of the pitch sensation | p. 113 |
| The creation of tone | p. 114 |
| Simple simultaneous intervals | p. 115 |
| Other simultaneous intervals | p. 116 |
| Chords | p. 117 |
| Harmonicity | p. 118 |
| Conclusions about intervals | p. 118 |
| Consecutive pitches | p. 119 |
| Polyphonic music | p. 119 |
| The general musical pitch phenomenon | p. 120 |
| Anomalies in pitch perception | p. 121 |
| A really aberrant hearing system | p. 122 |
| Tracking and the three-tones paradox | p. 123 |
| A sense of direction | p. 124 |
| Introduction | p. 124 |
| Signalling loudness | p. 125 |
| The direction-finding system | p. 127 |
| The timing system | p. 130 |
| Sensing transients | p. 131 |
| Noise amalgamation | p. 132 |
| The general characteristcs of hearing | p. 133 |
| Space sound | p. 135 |
| Conclusions | p. 137 |
| Time and rhythm | p. 139 |
| Introduction | p. 139 |
| The origin of time-patterned sound | p. 140 |
| Time in pitched music | p. 141 |
| Time and notation | p. 142 |
| Obtaining the pulse | p. 142 |
| The conductor | p. 142 |
| Time and the beginner | p. 143 |
| Variations on a pulse | p. 144 |
| You can't write it down | p. 145 |
| Metronomes and click tracks | p. 146 |
| What is rhythm? | p. 146 |
| Conclusions | p. 147 |
| We all hear the same thing | p. 147 |
| The origins of music | p. 148 |
| Memory | p. 150 |
| Other pitch systems | p. 153 |
| Believing is hearing | p. 153 |
| Pleasure and wonder | p. 154 |
| Appendices | p. 155 |
| Interval names | |
| Selecting pentatonic pitches | p. 155 |
| An alternative dodecaphonic route | p. 155 |
| Pitch discrimination and intervals | p. 156 |
| Tuning a keyboard by beats | p. 158 |
| The abominable cent | p. 158 |
| Repetition rates | p. 159 |
| Anatomical evolution | p. 159 |
| The primitive processor? | p. 162 |
| The ear structures | p. 163 |
| Hair cells | p. 164 |
| Recording auditory nerve pulses | p. 164 |
| The irregular distribution of pulses | p. 164 |
| The length of resonant vibrations | p. 165 |
| The place theory | p. 166 |
| Loudness | p. 167 |
| Memory storage and recovery of pitches | p. 168 |
| Signalling direction | p. 169 |
| Words and scents | p. 170 |
| Bibliography | p. 171 |
| Index | p. 173 |
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