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Re: [harmonic_entropy] Digest Number 144

🔗John Chalmers <JHCHALMERS@...>

7/8/2002 8:15:05 PM

Manuel, Paul, etc. Thanks, I may be contacting you personally if I can't
find the relevant posts or understand them.

I've been experimenting with the Tonicity function (in an old paper I
could lay my hands on easily last weekend) and have some graphics, one
of which I will try to upload to the file area.

The parameters are these: S=.01, T=1200 (tet), N*D <=10000 and N/D
reduced to one octave, the colors are arbitrary and the scale factors
were chosen to fit on my rather small screen. The equation is
(1/(sqr(2*pi)*sqr(N*D)*S))*exp(-(((log(N/D)-NT)^2)/2*S^2 )) where
N=Num,D=Denom and NT is log of the nearest tempered note to N/D.
Note the peak at 3/2; the bottom line is cents marked every semitone.

--John

🔗Carl Lumma <ekin@...>

6/3/2006 9:25:00 PM

Paul, it seems you never replied to this? I'd love to read
any feedback you might have on it.

-Carl

--- In harmonic_entropy@yahoogroups.com, John Chalmers
<JHCHALMERS@...> wrote:
> I've been experimenting with the Tonicity function (in an old
> paper I could lay my hands on easily last weekend) and have
> some graphics, one of which I will try to upload to the file
> area.
>
> The parameters are these: S=.01, T=1200 (tet), N*D <=10000 and
> N/D reduced to one octave, the colors are arbitrary and the
> scale factors were chosen to fit on my rather small screen.
> The equation is
> (1/(sqr(2*pi)*sqr(N*D)*S))*exp(-(((log(N/D)-NT)^2)/2*S^2 ))
> where N=Num,D=Denom and NT is log of the nearest tempered note
> to N/D. Note the peak at 3/2; the bottom line is cents marked
> every semitone.