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*To*: AUDITORY@xxxxxxxxxxxxxxx*Subject*: First moment of a spectrum*From*: Al Bregman <BREGMAN@xxxxxxxxxxxxxxxxxxxx>*Date*: Sun, 11 Jun 2000 23:44:36 -0400*Reply-to*: Al Bregman <BREGMAN@xxxxxxxxxxxxxxxxxxxx>*Sender*: AUDITORY Research in Auditory Perception <AUDITORY@xxxxxxxxxxxxxxx>

Dear List Members, I wish I knew more math, but I don't. So I have to ask this question. In relation to a measure of the central point in a spectrum, somebody wrote about the "first moment" of the spectrum. From context, it seems that the first moment is the frequency at which the sum of the positive deviations of frequencies above it, multiplied by their amplitudes, is equal to the sum of the negative deviations in frequency, of the frequencies below it, multiplied by their amplitudes. In other words, if the spectrum were inscribed on a piece of tin, and then cut out, the first moment would be the frequency at which it balanced. Is this a correct interpretation? Thanks, Al --------------------------------------------------------- Albert S. Bregman, Emeritus Professor Dept of Psychology, McGill University 1205 Docteur Penfield Avenue Montreal, QC, Canada H3A 1B1 Tel: +1 (514) 398-6103 Fax: +1 (514) 398-4896 ---------------------------------------------------------

**Follow-Ups**:**Re: First moment of a spectrum***From:*Alain de Cheveigne'

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