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A psychophysical pitch function determined by absolute magnitude estimation and its relation to the musical pitch scale

机译:由绝对幅度估计确定的心理音高函数及其与音高音阶的关系

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A psychophysical pitch function, describing the relation of perceived magnitude of pitch to the frequency of a pure tone, was determined by absolute magnitude estimation. Pitch estimates were made by listeners with relative pitch and by absolute pitch possessors for 27 tones spanning a frequency range of 31.5-12500 Hz in 1/3 octave steps. Results show that the pitch function, plotted in log-log coordinates, is steeper below 200 Hz than at higher frequencies. It is hypothesized that the pitch function's bend may reflect the diversity of neurophysiological mechanisms of pitch encoding in frequency ranges below and above 200 Hz. The variation of the function's slope implies that pitch distances between tones with the same frequency ratios are perceived as larger below 200 Hz than at higher frequencies. It is argued that this implication may apply only to a purely sensory concept of pitch distance and cannot be extended to the perception of musical intervals, a phenomenon governed by musical cognitive principles. The results also show that pitch functions obtained for listeners with relative and absolute pitch have a similar shape, which means that quantitative pitch relations determined for both groups of listeners do not differ appreciably along the frequency scale.
机译:通过绝对幅度估计来确定心理音调函数,该函数描述了感知到的音调幅度与纯音频率之间的关系。由具有相对音调的听众和由绝对音调拥有者针对27个音调进行音调估计,这些音调跨越1/3倍频程,频率范围为31.5-12500 Hz。结果表明,以对数-对数坐标表示的音高函数在200 Hz以下比在较高频率处更陡。假设音调函数的弯曲可以反映在200 Hz以下和200 Hz以上的频率范围内音调编码的神经生理机制的多样性。函数斜率的变化意味着,在相同的频率比率下,音调之间的音高距离在200 Hz以下比在较高频率处更大。有人认为,这种暗示可能仅适用于音高距离的纯粹感官概念,而不能扩展到对音乐间隔的感知,这是一种由音乐认知原理支配的现象。结果还表明,具有相对和绝对音高的听众获得的音高函数具有相似的形状,这意味着为两组听众确定的定量音高关系在频率范围上没有明显的不同。

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