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The ERB-rate scale, or ERB-number scale, can be defined as a function ERBS(f) which returns the number of equivalent rectangular bandwidths below the given frequency f. The units of the ERB-number scale are known ERBs, or as Cams, following a suggestion by Hartmann. [ 3 ]
[6] [7] The ERB can be converted into a scale that relates to frequency and shows the position of the auditory filter along the basilar membrane. For example, ERB = 3.36 Hz corresponds to a frequency at the apical end of the basilar membrane, whereas ERB = 38.9 Hz corresponds to the base, and a value of 19.5 Hz falls half-way between the two.
Some non-mel auditory-frequency-scale formulas use the same form but with much lower break frequency, not necessarily mapping to 1000 at 1000 Hz; for example the ERB-rate scale of Glasberg and Moore (1990) uses a break point of 228.8 Hz, [15] and the cochlear frequency–place map of Greenwood (1990) uses 165.3 Hz.
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The pioneering work of Ladefoged [16] used the Mel scale because this scale was claimed to correspond more closely to the auditory scale of pitch than to the acoustic measure of fundamental frequency expressed in Hertz. Two alternatives to the Mel scale are the Bark scale and the ERB-rate scale. [17]
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The Bark scale is a psychoacoustical scale proposed by Eberhard Zwicker in 1961. It is named after Heinrich Barkhausen , who proposed the first subjective measurements of loudness. [ 1 ] One definition of the term is "a frequency scale on which equal distances correspond with perceptually equal distances.