The Bark scale is a psychoacousticalscale 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. Above about 500 Hz this scale is more or less equal to a logarithmic frequency axis. Below 500 Hz the Bark scale becomes more and more linear."[2]
It is related to, but somewhat less popular than[citation needed], the mel scale, a perceptual scale of pitches judged by listeners to be equal in distance from one another.
Since the direct measurements of the critical bands are subject to error, the values in this table have been generously rounded.[1]
In his letter "Subdivision of the Audible Frequency Range into Critical Bands", Zwicker states:
"These bands have been directly measured in experiments on the threshold for complex sounds, on masking, on the perception of phase, and most often on the loudness of complex sounds. In all these phenomena, the critical band seems to play an important role. It must be pointed out that the measurements taken so far indicate that the critical bands have a certain width, but that their position on the frequency scale is not fixed; rather, the position can be changed continuously, perhaps by the ear itself."
Thus the important attribute of the Bark scale is the width of the critical band at any given frequency, not the exact values of the edges or centers of any band.
^ abZwicker, E. (1961), "Subdivision of the audible frequency range into critical bands," The Journal of the Acoustical Society of America, Volume 33, Issue 2, p. 248 (1961)
^Hermes, Dik J. . home.ieis.tue.nl. Archived from the original on 22 November 2017. Retrieved 17 September 2015.
^Julius O. Smith III and Jonathan S. Abel. "The Bark Frequency Scale", CCRMA.Stanford.edu.
^Traunmüller, H. (1990). "Analytical expressions for the tonotopic sensory scale". The Journal of the Acoustical Society of America. 88 (1): 97. Bibcode:1990ASAJ...88...97T. doi:10.1121/1.399849. S2CID 124703204.
Smith and Abel – Bark and ERB Bilinear Transforms (1999)
March 03, 2023
bark, scale, psychoacoustical, scale, proposed, eberhard, zwicker, 1961, named, after, heinrich, barkhausen, proposed, first, subjective, measurements, loudness, definition, term, frequency, scale, which, equal, distances, correspond, with, perceptually, equal. 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 Above about 500 Hz this scale is more or less equal to a logarithmic frequency axis Below 500 Hz the Bark scale becomes more and more linear 2 A440 Play help info 440 Hz 4 21 or 4 39 The scale ranges from 1 to 24 and corresponds to the first 24 critical bands of hearing 3 It is related to but somewhat less popular than citation needed the mel scale a perceptual scale of pitches judged by listeners to be equal in distance from one another Contents 1 Bark scale critical bands 2 Conversions 3 See also 4 References 5 External linksBark scale critical bands Edit Chart of the critical bands of the Bark scale Number Center frequency Hz Cut off frequency Hz Bandwidth Hz 201 50 100 802 150 200 1003 250 300 1004 350 400 1005 450 510 1106 570 630 1207 700 770 1408 840 920 1509 1000 1080 16010 1170 1270 19011 1370 1480 21012 1600 1720 24013 1850 2000 28014 2150 2320 32015 2500 2700 38016 2900 3150 45017 3400 3700 55018 4000 4400 70019 4800 5300 90020 5800 6400 110021 7000 7700 130022 8500 9500 180023 10500 12000 250024 13500 15500 3500Since the direct measurements of the critical bands are subject to error the values in this table have been generously rounded 1 In his letter Subdivision of the Audible Frequency Range into Critical Bands Zwicker states These bands have been directly measured in experiments on the threshold for complex sounds on masking on the perception of phase and most often on the loudness of complex sounds In all these phenomena the critical band seems to play an important role It must be pointed out that the measurements taken so far indicate that the critical bands have a certain width but that their position on the frequency scale is not fixed rather the position can be changed continuously perhaps by the ear itself Thus the important attribute of the Bark scale is the width of the critical band at any given frequency not the exact values of the edges or centers of any band Conversions EditTo convert a frequency f Hz into Bark use Bark 13 arctan 0 00076 f 3 5 arctan f 7500 2 displaystyle text Bark 13 arctan 0 00076f 3 5 arctan f 7500 2 or Traunmuller 1990 4 Bark 26 81 f 1960 f 0 53 displaystyle text Bark 26 81f 1960 f 0 53 or Wang Sekey amp Gersho 1992 5 Bark 6 sinh 1 f 600 displaystyle text Bark 6 sinh 1 f 600 See also EditLuminosity function which describes the average sensitivity of the human eye to light of different wavelengths Fletcher Munson curves Equivalent rectangular bandwidth the ERB scale Critical bandsReferences Edit a b Zwicker E 1961 Subdivision of the audible frequency range into critical bands The Journal of the Acoustical Society of America Volume 33 Issue 2 p 248 1961 Hermes Dik J Sound Perception The Science of Sound Design home ieis tue nl Archived from the original on 22 November 2017 Retrieved 17 September 2015 Julius O Smith III and Jonathan S Abel The Bark Frequency Scale CCRMA Stanford edu Traunmuller H 1990 Analytical expressions for the tonotopic sensory scale The Journal of the Acoustical Society of America 88 1 97 Bibcode 1990ASAJ 88 97T doi 10 1121 1 399849 S2CID 124703204 Sonification seminar 10 9 03 CCRMA Stanford edu External links Edit Media related to Bark scale at Wikimedia Commons Smith and Abel Bark and ERB Bilinear Transforms 1999 Auditory scales of frequency representation Retrieved from https en wikipedia org w index php title Bark scale amp oldid 1117532500, wikipedia, wiki, book, books, library,
