RE: [harmonic_entropy] New file uploaded to harmonic_entropy

Unfortunately, the results of the validation exercise doesn't look too great
-- the unnormalized total probability has spikes of up to 24% at the
simplest intervals.

-----Original Message-----
From: harmonic_entropy@yahoogroups.com
[mailto:harmonic_entropy@yahoogroups.com]
Sent: Sunday, December 23, 2001 6:54 PM
To: harmonic_entropy@yahoogroups.com
Subject: [harmonic_entropy] New file uploaded to harmonic_entropy

Hello,

This email message is a notification to let you know that
a file has been uploaded to the Files area of the harmonic_entropy
group.

File : /dyadic/vos.gif
Uploaded by : paulerlich <PERLICH@...>
Description : Using normalized exp(-abs(d/t)) instead of s.n.(d/t)

You can access this file at the URL

/harmonic_entropy/files/dyadic/vos.gif

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Regards,

paulerlich <PERLICH@...>

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Next, I will try to do this _right_ . . .

>Unfortunately, the results of the validation exercise doesn't look
>too great the unnormalized total probability has spikes of up to
>24% at the simplest intervals.

Heya, Paul,

() Not sure what you mean here... the validation excercise didn't
agree with the graph, so you thought there must by an error in
the graph? I can never keep straight why you call it the validation
excercise -- it's just the normalized Tenney dissonance, right? --
isn't the graph supposed to validate _it_, rather than the other
way around?

() Noticed that the explanation of what a Vos curve is never made
it to this list.

-Carl

>Heya, Paul,

>() Not sure what you mean here... the validation excercise didn't
>agree with the graph, so you thought there must by an error in
>the graph? I can never keep straight why you call it the validation
>excercise -- it's just the normalized Tenney dissonance, right? --
>isn't the graph supposed to validate _it_, rather than the other
>way around?

The validation exercise checks that the sum of the unnormalized
"probabilities" is a constant across all cents values. When computing the
entropy function of the "probabilities" for a given cents value, I normalize
the "probabilities" (by dividing by the sum) so that they sum to one. The
validation exercise is meant to insure that this normalization process
ITSELF is not contributing anything significant to the shape of the curve.
In this case, I'm afraid I can't guarantee that.

>() Noticed that the explanation of what a Vos curve is never made
>it to this list.

Search for "Vos" on the tuning list. Basically, it's exp(-|d/t|), where d is
the deviation in cents and t is a constant (which, amazingly, seems to have
little or no effect on the shape of the curve!).

>The validation exercise checks that the sum of the unnormalized
>"probabilities" is a constant across all cents values. When
>computing the entropy function of the "probabilities" for a given
>cents value, I normalize the "probabilities" (by dividing by the
>sum) so that they sum to one. The validation exercise is meant to
>insure that this normalization process ITSELF is not contributing
>anything significant to the shape of the curve.
>In this case, I'm afraid I can't guarantee that.

Got it.

>Search for "Vos" on the tuning list.

Actually, wasn't it MMM?

-Carl

>>Search for "Vos" on the tuning list.

>Actually, wasn't it MMM?

Goodness, no.

Is that all you have to say?

I'd at least like to learn more about Stieljes whatever.

-----Original Message-----
From: genewardsmith [mailto:genewardsmith@...]
Sent: Tuesday, December 25, 2001 3:07 AM
To: harmonic_entropy@yahoogroups.com
Subject: [harmonic_entropy] Re: New file uploaded to harmonic_entropy

--- In harmonic_entropy@y..., harmonic_entropy@y... wrote:

> File : /dyadic/margo3.gif

That's more like it!

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