Florentine M, Buus S, Mason C R
J Acoust Soc Am. 1987 May;81(5):1528-41. doi: 10.1121/1.394505.
Difference limens for level (delta L in dB = 20 log [(p + delta p)/p], where p is pressure) were measured as a function of level for tones at 0.25, 0.5, 1, 2, 4, 8, 10, 12, 14, and 16 kHz. At each frequency, test levels encompassed the range from near threshold to 95 dB SPL in steps of 10 dB or smaller. The stimulus duration was 500 ms and the interstimulus interval was 250 ms. An adaptive two-alternative forced-choice procedure with feedback was used. Results for six normal listeners show individual differences among listeners, but the general trends seen in the average data clearly are present in the individual data and show the following. First, the delta Ls at all but the highest frequencies are generally smaller at high levels than at low levels. Second, the delta Ls at equal SPLs are largely independent of frequency up to about 4 kHz, but increase with frequency above 4 kHz. Third, at 8 and 10 kHz, the delta Ls are clearly nonmonotonic functions of level, showing consistent deterioration in the mid-level delta Ls relative to the low- and high-level delta Ls. The present data are discussed qualitatively in terms of current models of level discrimination.
测量了0.25、0.5、1、2、4、8、10、12、14和16千赫兹音调的强度辨别阈（以分贝为单位的ΔL = 20 log[(p + Δp)/p]，其中p为压力）作为强度的函数。在每个频率下，测试强度范围从接近阈值到95分贝声压级，步长为10分贝或更小。刺激持续时间为500毫秒，刺激间隔为250毫秒。采用了带有反馈的自适应二选一强制选择程序。六位正常听力者的结果显示了个体之间的差异，但平均数据中呈现的总体趋势在个体数据中也明显存在，具体如下。首先，除了最高频率外，所有频率下的ΔL在高强度时通常比低强度时小。其次，在声压级相等的情况下，ΔL在大约4千赫兹以下很大程度上与频率无关，但在4千赫兹以上随频率增加。第三，在8和10千赫兹时，ΔL明显是强度的非单调函数，相对于低强度和高强度的ΔL，中强度的ΔL持续恶化。根据当前的强度辨别模型对本数据进行了定性讨论。
