SummarySome combinations of musical notes are consonant (pleasant), while others are dissonant (unpleasant), a distinction central to music. Explanations of consonance in terms of acoustics, auditory neuroscience, and enculturation have been debated for centuries [1][2][3][4][5][6][7][8][9][10][11][12]. We utilized individual differences to distinguish the candidate theories. We measured preferences for musical chords as well as nonmusical sounds that isolated particular acoustic factors -specifically, the beating and the harmonic relationships between frequency components, two factors that have long been thought to potentially underlie consonance [2,3,10,[13][14][15][16][17][18][19][20]. Listeners preferred stimuli without beats and with harmonic spectra, but across over 250 subjects, only the preference for harmonic spectra was consistently correlated with preferences for consonant over dissonant chords. Harmonicity preferences were also correlated with the number of years subjects had spent playing a musical instrument, suggesting that exposure to music amplifies preferences for harmonic frequencies because of their musical importance. Harmonic spectra are prominent features of natural sounds, and our results indicate they also underlie the perception of consonance.
ResultsFig . 1a shows the pleasantness ratings given by a group of subjects to different combinations of notes. Some combinations were consistently rated higher than others, irrespective of the instrument playing the notes. This is the phenomenon of consonance, the origins of which have remained controversial throughout history [1][2][3][4][5][6][7][8][9][10][11][12].Ancient thinkers viewed consonance as determined by ratios (Fig. 1b), but in modern times it has been linked to acoustic properties thought to be important to the auditory system [10]. The dominant contemporary theory posits that dissonance is due to beating between frequency components [2,[13][14][15]. Beating occurs whenever two sinusoids of differing frequency are combined (Fig. 1c, top left). Over time the components drift in and out of phase, and the combined waveform waxes and wanes in amplitude. This modulation produces a sound quality known as roughness that listeners typically describe as unpleasant [21,22], and that has been thought to be prevalent in dissonant, but not consonant, musical chords [13][14][15]. Fig. 1c shows spectra and waveforms for two musical intervals (chords with two notes). The minor second, a dissonant interval, contains many pairs of frequency components that are close but not identical in frequency, and that produce beating, visible as amplitude fluctuations in