Diamonds and CPS's

Those of you familiar with Erv Wilson's XH12 article know that the 3/6 CPS
"mates" with the 6-factor diamond to fill 6-dimensional tonespace. This
also works for the 70-any and 8-factor diamond. Presumably (although I do
not know) it works at any limit with an even number of factors because
CPS's with the "at a time" value equal to 1/2 the number of possible
factors can exist (these are special CPS's with the same number of harmonic
and subharmonic elements). I do not know how diamonds and CPS's interact
on the lattice in an odd number of dimensions.

Anyhow, the point is, there's a good picture of the 4-factor diamond and
hexany "doing it" at...

http://www.servtech.com/~rwgray/synergetics/s10/figs/f3230.html

Carl

In response to Carl Lumma's essay on the interaction between the diamond
and the CPS composed of similar factors let me point out one interesting
one. If one places two diamonds on complementary functions a CPS will be
formed. This reminds me of the old picture where first you see a vase.
Then two faces facing each other. This Analogy is not quite accurate.
Wilson (myself and others) have seen the relationship as a Male/Female
relationship in the Jungian sense of the terms. An interesting property
of the Lamdoma is that one need not reduce all the pitches to one
octave. In such cases of some of the straight forward spacing, the
adjacent intervals will all be super particular.
I know I promised XenXll a while ago and am sorry I haven't put it
up but I hope to do it soon!
-- Kraig Grady
North American Embassy of Anaphoria Island
www.anaphoria.com

Kraig Grady wrote,

>In response to Carl Lumma's essay on the interaction between the
diamond
>and the CPS composed of similar factors let me point out one
interesting
>one. If one places two diamonds on complementary functions a CPS will
be
>formed.

Can you elaborate or give an example?