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?