hi paul,

> From: "wallyesterpaulrus" <wallyesterpaulrus@yahoo.com>

> To: <tuning-math@yahoogroups.com>

> Sent: Friday, November 08, 2002 3:39 PM

> Subject: [tuning-math] Re: from the realms of private correspondence

>

>

> <snip> ... i don't see how one could ever hope to

> embody favoritism for otonal over utonal in a lattice,

> as much as i believe in such favoritism myself.

hmmm ... wow, you really "struck a chord" here

with me!

several years ago, when i had first moved to San Diego

and was setting up the Sonic Arts website, i was

pondering how one might favor otonality in a lattice.

i haven't thought about it since then, and don't really

remember what ideas i had come up with, but i do recall

that i was trying to incorporate Erv Wilson's famous

"harmonic spiral" diagram into my own lattice formula,

whereby the angles and lengths of each prime-axis would

radiate outward from each lattice-point according to

the measurements in Erv's diagram.

any thoughts on that?

-monz

--- In tuning-math@y..., "monz" <monz@a...> wrote:

> > From: "wallyesterpaulrus" <wallyesterpaulrus@y...>

> > <snip> ... i don't see how one could ever hope to

> > embody favoritism for otonal over utonal in a lattice,

> > as much as i believe in such favoritism myself.

>

>

> hmmm ... wow, you really "struck a chord" here

> with me!

The only method which occurs to me is to take the lattice of otonal *chords*, and ignore utonal anything.

--- In tuning-math@y..., "monz" <monz@a...> wrote:

>

> hi paul,

>

>

> > From: "wallyesterpaulrus" <wallyesterpaulrus@y...>

> > To: <tuning-math@y...>

> > Sent: Friday, November 08, 2002 3:39 PM

> > Subject: [tuning-math] Re: from the realms of private

correspondence

> >

> >

> > <snip> ... i don't see how one could ever hope to

> > embody favoritism for otonal over utonal in a lattice,

> > as much as i believe in such favoritism myself.

>

>

> hmmm ... wow, you really "struck a chord" here

> with me!

>

> several years ago, when i had first moved to San Diego

> and was setting up the Sonic Arts website, i was

> pondering how one might favor otonality in a lattice.

>

> i haven't thought about it since then, and don't really

> remember what ideas i had come up with, but i do recall

> that i was trying to incorporate Erv Wilson's famous

> "harmonic spiral" diagram into my own lattice formula,

> whereby the angles and lengths of each prime-axis would

> radiate outward from each lattice-point according to

> the measurements in Erv's diagram.

>

> any thoughts on that?

as far as i can tell, you're already doing the angles that way; as

for the lengths, i'm not sure if erv used a specific formula, but it

looks like a logarithmic spiral, so log(p) would be a good choice for

the lengths.