Frank writes: << The harmonic series is so common to "musical" sound that it defines what we perceive as harmonic or dissonant. >> Greetings, I don't think the series, per se, defines what is dissonant. There seems to be some confusing mixing of terms here, so I may be misreading the intended message. What confuses me is where "Harmonic" is being used in contrast to "dissonant". Dissonant is usually taken to be the opposite of "consonant". Harmonic and consonant are not the same thing, so I am confused. I suggest that what we perceive as dissonant depends on how two or more harmonic series interact with one another; that our perception, inre consonance, is more a function of the ratio between the series than the ratio within each of them. Dissonant or consonant sounds can be made with pure sine waves. regards, Ed Foote RPT http://www.uk-piano.org/edfoote/index.html www.uk-piano.org/edfoote/well_tempered_piano.html <BR><BR><BR>**************************************<BR> See what's free at http://www.aol.com.</HTML>
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