The human ear and examples of natural heterodynes

| >| >"John Larkin" wrote in | >message | >| >news: snipped-for-privacy@4ax.com... | >| >| On Fri, 04 Jan 2008 16:47:46 GMT, "Androcles" | >| >| wrote: | >| >| | >| >| | >| >| | >| >| >erg: | >| >| > a centimeter-gram-second unit of work equal to the work done by a | >force | >| >of | >| >| >one dyne acting through a distance of one centimeter and equivalent to | >| >10^7 | >| >| >joule | >| >| >

| >| >| | >| >| No. | >| >

| >| >Fuckhead. | >| >

| >| >

| >| | >| But you're the one who's always wrong. By a factor of 1e14 this time. | >| | >Even I can make the occasional typographic error converting | >superscript in this antiquated text-only drool bag known as Usenet. | >

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| >Well done for spotting it, I congratulate you. | >Fuck you, smart arse, for not pointing it out immediately. | >

| >

| >

| >

| | Well, you elected to correct my typing, so it's only fair that I | return the favor. | No. (BTW, if you were Peter Brown you'd have said "it's only fare") :-)

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Androcles
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Well, it isn't a modulation of either tone by the other but it is a modulation of their average frequency by half the difference in their frequency. That particular modulation doesn't require multiplication other than that implied by the identity:

sin(w1)+sin(w2)=2*cos((w1-w2)/2)*sin((w1+w2)/2)

where w1 and w2 are two angular frequencies.

Bob

--

"Things should be described as simply as possible, but no simpler."

                                              A. Einstein
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Bob Cain

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