Reply to David Finnamore

David Finnamore wrote,

>I'm in the slow process of comparing all the tetrads
>with each other, and will post my perceived most-concordant-to-most-
>discordant ordering soon.

Thanks David. Be sure _not_ to use the lo-fi play option under any
circumstances. In fact, the easiest way to go about this would be to
download all the .mp3s and compare them off-line.

>> Can everyone identify the chords at the "major intersections"
of "Triad
>> City"?

>No. Is there an algorithmic way to do it?

If you read the post I just posted about the geometry of triangular plots,
and treat the upper-right sextant as similar to the Chalmers triangle I
described there, it should be fairly easy for you to get a sense of how a
chord with a given set of intervals will show up on this plot. Hopefully,
you can do this for a few simple otonal triads, and then start to see
patterns which will allow you to see what all the "major intersections" are.
Joe Monzo did this recently with my Voronoi plots, which were exactly the
same as these except that the axes were at 90° angles (and I used a
maximum-integer limit instead of a product limit).

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

http://www.egroups.com/message/harmonic_entropy/95

> If you read the post I just posted about the geometry of triangular
plots, and treat the upper-right sextant as similar to the Chalmers
triangle I described there, it should be fairly easy for you to get a
sense of how a chord with a given set of intervals will show up on
this plot. Hopefully, you can do this for a few simple otonal triads,
and then start to see patterns which will allow you to see what all
the "major intersections" are. Joe Monzo did this recently with my
Voronoi plots, which were exactly the same as these except that the
axes were at 90° angles (and I used a maximum-integer limit
instead of a product limit).

I'm hoping Joe Monzo can do this again like he did the last time, so
I can make some sense of the nice "snowflake..." Really, it is quite
a nice pix. But am I lost again?? Like they say in the Midwest,
"you betcha!"
________ ___ __ __
Joseph Pehrson