Triadic topography

In response to Jon Wild having found my old plots of total dyadic
discordance of triads, I thought I'd make an updated plot that uses the
Chalmers-style triangular coordinates and the Tenney- rather than
Farey-based dyadic discordance model (in order to eliminate the bias toward
larger intervals). The result is here:

http://www.egroups.com/files/tuning/perlich/triangle_01.jpg

I labeled all the otonal triads with geometric mean < 7. These do not
correspond to all the deepest local minima in this plot -- the utonal triads
and mirror-symmetrical triads are missed, for example. However, when I make
the same kind of plot using a true triadic harmonic entropy model, I expect
that the otonal triads below a certain geometric mean _will_ correspond to
the deepest local minima.

--- In harmonic_entropy@egroups.com, "Paul H. Erlich" <PERLICH@A...>
wrote:

http://www.egroups.com/message/harmonic_entropy/138

That's a great graphic, Paul. Now, if we could somehow combine THAT
with the 3-dimensional things that Jon Wild has been doing, we would
have a real masterwork!

_________ ____ __ _ _
Joseph Pehrson