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

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