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Musical Ratios in Sounds from the Human Cochlea

机译:人耳蜗发出的声音中的音乐比率

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摘要

The physiological roots of music perception are a matter of long-lasting debate. Recently light on this problem has been shed by the study of otoacoustic emissions (OAEs), which are weak sounds generated by the inner ear following acoustic stimulation and, sometimes, even spontaneously. In the present study, a high-resolution time–frequency method called matching pursuit was applied to the OAEs recorded from the ears of 45 normal volunteers so that the component frequencies, amplitudes, latencies, and time-spans could be accurately determined. The method allowed us to find that, for each ear, the OAEs consisted of characteristic frequency patterns that we call resonant modes. Here we demonstrate that, on average, the frequency ratios of the resonant modes from all the cochleas studied possessed small integer ratios. The ratios are the same as those found by Pythagoras as being most musically pleasant and which form the basis of the Just tuning system. The statistical significance of the results was verified against a random distribution of ratios. As an explanatory model, there are attractive features in a recent theory that represents the cochlea as a surface acoustic wave resonator; in this situation the spacing between the rows of hearing receptors can create resonant cavities of defined lengths. By adjusting the geometry and the lengths of the resonant cavities, it is possible to generate the preferred frequency ratios we have found here. We conclude that musical perception might be related to specific geometrical and physiological properties of the cochlea.
机译:音乐感知的生理根源是一个长期争论的问题。最近,通过耳声发射(OAE)的研究揭示了这个问题,耳声发射是内耳在听觉刺激下,有时甚至是自发产生的微弱声音。在本研究中,对从45名正常志愿者的耳朵记录的OAE应用了一种称为匹配追踪的高分辨率时频方法,从而可以准确地确定分量频率,幅度,延迟和时间跨度。该方法使我们能够发现,对于每只耳朵来说,OAE都是由我们称为共振模式的特征频率模式组成的。在这里,我们证明,平均而言,所有研究的耳蜗的共振模式的频率比都具有较小的整数比。这些比率与毕达哥拉斯发现的音乐上最令人愉悦的比率相同,构成了Just调音系统的基础。针对比率的随机分布验证了结果的统计显着性。作为一种解释模型,在最近的理论中有一些吸引人的特征,将耳蜗表示为表面声波谐振器。在这种情况下,听觉接收器行之间的间隔会产生一定长度的共振腔。通过调整谐振腔的几何形状和长度,可以生成我们在此处找到的优选频率比。我们得出结论,音乐知觉可能与耳蜗的特定几何和生理特性有关。

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