Auditory scales of frequency representation

Figures and tables

Table 1. Critical bandwidth as a function of center frequency (left pair of columns) and critical band rate (right pair of columns) [2].

---------------------------------------------------
Center frequ. Crit. bandwidth    Frequency  CB-rate 
         Hz         Hz               Hz       bark
---------------------------------------------------
         50         80               20         0
        150        100              100         1
        250        100              200         2
        350        100              300         3
        450        110              400         4
        570        120              510         5
        700        140              630         6
        840        150              770         7
       1000        160              920         8
       1170        190             1080         9
       1370        210             1270        10
       1600        240             1480        11
       1850        280             1720        12
       2150        320             2000        13
       2500        380             2320        14
       2900        450             2700        15
       3400        550             3150        16
       4000        700             3700        17
       4800        900             4400        18
       5800       1100             5300        19
       7000       1300             6400        20
       8500       1800             7700        21
      10500       2500             9500        22
      13500       3500            12000        23
                                  15500        24
---------------------------------------------------

Figure 1. Critical bandwidth (pluses) [1, 2] and equivalent rectangular bandwidth (line) [3] plotted against frequency.

Data from:

[1] E. Zwicker, G. Flottorp and S.S. Stevens (1957) "Critical bandwidth in loudness summation" J. Acoust. Soc. Am. 29: 548-557.

[2] E. Zwicker (1961) "Subdivision of the audible frequency range into critical bands (Frequenzgruppen)", J. Acoust. Soc. Am. 33: 248.
Also in E. Zwicker und R. Feldtkeller (1967) Das Ohr als Nachrichtenempfänger 2. Aufl., Stuttgart: Hirzel, p. 74.

[3] B.C.J. More and B.R. Glasberg (1983) "Suggested formulae for calculating auditory-filter bandwidths and excitation patterns" J. Acoust. Soc. Am. 74: 750-753.

Main text