Harmonic entropy question for PE

Paul,

A few months back now I remember that you where trying to determine if
the Farey limit was an additional, or arbitrary factor - whether the
extrema do, or do not converge to a limit as the Farey limit
approaches infinity (it seemed as though the local maximum was indeed
creeping up as you increased the limit). Did you ever reach any
decisive conclusions (etc.)?

Dan

>A few months back now I remember that you where trying to determine if
>the Farey limit was an additional, or arbitrary factor - whether the
>extrema do, or do not converge to a limit as the Farey limit
>approaches infinity (it seemed as though the local maximum was indeed
>creeping up as you increased the limit). Did you ever reach any
>decisive conclusions (etc.)?

Nope -- I'm hoping to receive a response to a private e-mail to John Conway,
no doubt a very busy man. However, the general shape of the harmonic entropy
curve, and in particular the ratios at (or near) which minima occur, seem
remarkably stable from Farey limit 20 to 1000+ (given simga = 1%). If you
can believe that the ear gives up somewhere in that range, you can believe
the general features of the harmonic entropy curve.

What presents a bigger challenge is a harmonic entropy measure for chords of
three or more notes.