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Re: question about overtones

Tom.

If you set the amplitudes a(k)=(B/(B-1))^(-k), where k is the overtone index, then the sound have a spectral centroid of B, which is highly correlated to the perception of brightness. In addition, I have found that many musical instruments has a slope approximately exponential. For typical values of B, you can have a look in my PhD (http://cs.aue.aau.dk/~krist/TMoMS.pdf), in Chapter 9, although you have to divide with the fundamental, or it can be found from the real amplitudes of a sound; B=sum(k*a(k))/sum(k). Thus you have a sound with relations to the perception, to the physics of the instrument and to the signal of the sound.

best

Kristoffer

On Nov 17, 2005, at 1:58 AM, Tom Lee wrote:

Dear list,

Does anyone have information about the amplitude
relation between a tone and its overtones? What I mean
is, if I have some frequency and I want to generate
its natural overtone series, how loud do I make the
overtones in relation to the fundamental? Thanks in advance!

-Tom

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