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RE: [tuning] Re: Concordance Ex Nihilo [tuning experiment]

🔗Paul H. Erlich <PERLICH@ACADIAN-ASSET.COM>

8/23/2000 2:25:12 PM

Jacky wrote,

>I too must admit that I've been thinking the whole time we were
>speaking of the variety of "Entropy" used in Communication Theory:

>"A measure of the efficiency of a system (as a code or a language) in
>transmitting information, being equal to the logarithm of the number
>of different messages that can be sent by selection from the same set
>of symbols and thus indicating the degree of inital uncertainty that
>can be resolved by any one message."

>Are we in fact talking about the physics variety of entropy?

No, Jacky, I'm in fact referring to the Information Theory definition of
entropy, which minus the sum over a bunch of possibilities of p*log(p),
where p is the probability of the corresponding possibility. In the case of
Harmonic Entropy, the possibilities are the ratios in the Farey series or
whatever series is being used as the total set of ratios.

>Paul would you be so kind as to guide me
>to a past post or paper that will clarify this for me and I will
>endeavor to follow more closely. Forgive my naivete.

None taken. See http://www.ixpres.com/interval/td/entropy.htm for a
collection of my early posts to the Tuning List on the subject.