observation on golden meantone formula

Hmmm ... take a look at this:

/tuning-math/files/monz/goldenMT-lattice.gif

Here I plotted the values for c = (8a + 11b) from the
golden meantone formula (2^a)*(v^b) = 2^[ (c - b*PHI) / 11].

I found two things interesting about this graph.

First, it exactly mirrors the placement of the PHI-related
intervals in an interval matrix I made, ordered according
to generator number.

Secondly ... the plot of the "c" values creates a
familiar-looking lattice-diagram-type pattern, where
the southwest-to-northeast axis is the inverse of the
generator (so it's the "4th") and the southeast-to-northwest
axis is the "whole tone".

What's going on here?

Curious...
-monz

_________________________________________________________
Do You Yahoo!?
Get your free @yahoo.com address at http://mail.yahoo.com