--- In harmonic_entropy@yahoogroups.com, "traktus5" <kj4321@h...>
wrote:
> Hello group. I read the statement below, and was wondering if you
> scholars would be kind enough to say whether it is true, and if so,
> where I could learn more about it?
>
> "When different frequency waves meeet, they add and multiply.

It depends in what sense you mean "add" and "multiply". It can't be
in one and the same sense.

> Phi
> permits waves to intersect in orderly, harmonic patterns...

This seems to be *least* true for phi and *most* true for simple-
integer ratios, doesn't it?

>thus waves
> of a different length form a stable nest.

Ditto.

> In electronics, this
> is 'heterodyne', and is used to modulate radio and tv signals..."

We can discuss heterodyning, and we can heterodyne using Phi as the
frequency ratio, but nothing about heterodyning assumes or
necessarily has to do with Phi.

> Also (---going out on limb here!) could it be possible that there
is
> some sort of interaction of harmonics, almost like the interference
> pattern referred to above,

I don't know what interference pattern was referred to above,
exactly. Could you give more from this source? I'm sure there was
more to it than these unclear, seemingly erroneous statements about
Phi.

> but at the level of harmonics, which is
> involved with the perception of 'chord color'? I guess I'm sort of
> thinking of that older theory of dissonance pertaining to
coinciding
> partials....

Well, then a chord would seem to have a different color if it were
tuned slightly differently, yes?

> If this is all too murky to even respond to, I understand! It's
just
> that I sort of visualize chord color, like synthesia, and am trying
to
> understand it...

Cool!