Subject: Re: f0 frequency difference limen From: "James W. Beauchamp" <jwbeauch@xxxxxxxx> Date: Wed, 14 Jan 2009 16:14:37 -0600 List-Archive:<http://lists.mcgill.ca/scripts/wa.exe?LIST=AUDITORY>In terms of musical intervals, 0.2% for partials, 0.1% for the F0 translates into 3.4 and 1.7 cents, respectively, where 100 cents corresponds to an equal-tempered semitone change of pitch. I wouldn't think that this result would be completely independent of F0. I would expect the percentage threshold to increase for F0s below a certain point. It would also depend on the spectrum. I.e., spectra with just a few partials in the bass region may have much larger DLs. But 2 cents is a good practical df to shoot for in any music synthesis system. Jim Original message: >From: "Alain de Cheveigne'" <Alain.de.Cheveigne@xxxxxxxx> >Date: Wed, 14 Jan 2009 12:29:12 +0000 >To: AUDITORY@xxxxxxxx >Subject: Re: [AUDITORY] f0 frequency difference limen >Comments: To: andymilne@xxxxxxxx > >According to [Henning, G. B. and Grosberg, S. L. (1968). "Effect of >harmonic components on frequency discrimination." J. Acoust. Soc. Am. >44: 1386-1389.], for fundamental frequencies below 2 kHz, >discrimination is better for complex than pure tones (above 2 kHz it >is the same). > >According to the theory of [Goldstein, J. L. (1973). "An optimum >processor theory for the central formation of the pitch of complex >tones." J. Acoust. Soc. Am. 54: 1496-1516.], F0 discrimination of a >complex is at least as good as that of each of its components. > >Both suggest that complex tone limens should be at least as small as >pure tone limens if not better. The classic source for those is >[Moore, B. C. J. (1973). "Frequency difference limens for >short-duration tones." J. Acoust. Soc. Am. 54: 610-619.]. If I >remember correctly, pure tone FDLs are as low as 0.2% at 2kHz. > >For a more recent study see [Gockel, H., Moore, B. C. J., Carlyon, R. >P. and Plack, C. J. (2007). "Effect of duration on the frequency >discrimination of individual partials in a complex tone and on the >discrimination of fundamental frequency." J. Acoust. Soc. Am. 121: >373-382.]. They report thresholds as low as 0.2% for partials, 0.1% >for the complex. > >Alain