Subject: Re: [AUDITORY] Number of critical bands in human hearing? From: Stephan Paul <stephan.paul.acoustic@xxxxxxxx> Date: Thu, 14 Sep 2023 07:44:55 -0300--000000000000d005f206054f5eb2 Content-Type: text/plain; charset="UTF-8" Content-Transfer-Encoding: quoted-printable As far as I know the idea of critical bands is to model auditory filters. Looking at the basilar membrane only: As the basilar membrane is a continuum, with a continuous variation of mass, damping and stiffness, there is a continuous variation of the natural frequency along the basilar membrane. Therefore, the basilar membrane function can be modelled by an infinite number of (non-symmetric, and non-linear) pass-band filters, e.g. critical band filters. In practice however this would not be very practical. The critical band model from Fletcher and Munson, as well as the model of Zwicker use 24 discrete critical bands as an approximation. The Cambridge model (Galsberg and Moore) approximates with 48 discrete critical bands, I think. Best Stephan Em qui., 14 de set. de 2023 =C3=A0s 05:11, tothl <tothl@xxxxxxxx> escreveu: > And what text is that? Just to know what to avoid in the future :) > But if you said that you needed at least 24 to cover the frequency scale > up to 20kHz, that would sound much better... > (but I am afraid this an engineering approximation, and has nothing to > do with human hearing) > > 2023-09-13 16:59 id=C5=91pontban David Jackson Morris ezt =C3=ADrta: > > > The text that we use says that there are 24. > > > > David Jackson Morris, PhD, LTCL > > > > Associate Professor/Lektor > > > > University of Copenhagen/K=C3=B8benhavns Universitet > > > > Speech Pathology and Audiology/Audiologop=C3=A6di > > > > Department of Nordic Studies and Linguistics/Institut for Nordiske > > Studier og Sprogvidenskab > > > > Emil Holms Kanal 2 > > > > 2300 Copenhagen S/K=C3=B8benhavn S > > > > Department Homepage [1] > > > > - > > > > S=C3=A5dan beskytter vi persondata [2] > > > > > > > > Links: > > ------ > > [1] https://nors.ku.dk/english/staff/?pure=3Den/persons/398661 > > [2] > > > https://informationssikkerhed.ku.dk/persondatabeskyttelse/privatlivspolit= ik/ > --000000000000d005f206054f5eb2 Content-Type: text/html; charset="UTF-8" Content-Transfer-Encoding: quoted-printable <div dir=3D"ltr"><div>As far as I know the idea of critical bands is to mod= el auditory filters.=C2=A0</div><div>Looking at the basilar membrane only: = As the basilar membrane is a continuum, with a continuous variation of mass= , damping and stiffness, there is a continuous variation of the natural fre= quency along the basilar membrane. <br></div><div>Therefore, the basilar me= mbrane function can be modelled by an infinite number of (non-symmetric, an= d non-linear) pass-band filters, e.g. critical band filters.</div><div>In p= ractice however this would not be very practical.</div><div>The critical ba= nd model from Fletcher and Munson, as well as the model of Zwicker use 24 d= iscrete critical bands as an approximation. <br></div><div>The Cambridge mo= del (Galsberg and Moore) approximates with 48 discrete critical bands, I th= ink.</div><div><br></div><div>Best</div><div>Stephan<br></div></div><br><di= v class=3D"gmail_quote"><div dir=3D"ltr" class=3D"gmail_attr">Em qui., 14 d= e set. de 2023 =C3=A0s 05:11, tothl <<a href=3D"mailto:tothl@xxxxxxxx= d.hu">tothl@xxxxxxxx</a>> escreveu:<br></div><blockquote class=3D= "gmail_quote" style=3D"margin:0px 0px 0px 0.8ex;border-left:1px solid rgb(2= 04,204,204);padding-left:1ex">And what text is that? Just to know what to a= void in the future :)<br> But if you said that you needed at least 24 to cover the frequency scale <b= r> up to 20kHz, that would sound much better...<br> (but I am afraid this an engineering approximation, and has nothing to <br> do with human hearing)<br> <br> 2023-09-13 16:59 id=C5=91pontban David Jackson Morris ezt =C3=ADrta:<br> <br> > The text that we use says that there are 24.<br> > <br> > David Jackson Morris, PhD, LTCL<br> > <br> > Associate Professor/Lektor<br> > <br> > University of Copenhagen/K=C3=B8benhavns Universitet<br> > <br> > Speech Pathology and Audiology/Audiologop=C3=A6di<br> > <br> > Department of Nordic Studies and Linguistics/Institut for Nordiske<br> > Studier og Sprogvidenskab<br> > <br> > Emil Holms Kanal 2<br> > <br> > 2300 Copenhagen S/K=C3=B8benhavn S<br> > <br> > Department Homepage [1]<br> > <br> >=C2=A0 =C2=A0-<br> > <br> > S=C3=A5dan beskytter vi persondata [2]<br> > <br> > <br> > <br> > Links:<br> > ------<br> > [1] <a href=3D"https://nors.ku.dk/english/staff/?pure=3Den/persons/398= 661" rel=3D"noreferrer" target=3D"_blank">https://nors.ku.dk/english/staff/= ?pure=3Den/persons/398661</a><br> > [2] <br> > <a href=3D"https://informationssikkerhed.ku.dk/persondatabeskyttelse/p= rivatlivspolitik/" rel=3D"noreferrer" target=3D"_blank">https://information= ssikkerhed.ku.dk/persondatabeskyttelse/privatlivspolitik/</a><br> </blockquote></div> --000000000000d005f206054f5eb2--