Phi-based scales

Are there any special properties to scales generated with an "nth-root"
of Phi? I think I remember Kraig Grady mentioning something about how
the difference tones produced by their harmonies are equal to notes
found in the scale. Is this true for all nth-root of Phi scales?

Thankee-sais,

-Igliashon

--- In tuning@yahoogroups.com, "Igliashon Jones" <igliashon@s...> wrote:
> Are there any special properties to scales generated with an "nth-root"
> of Phi? I think I remember Kraig Grady mentioning something about how
> the difference tones produced by their harmonies are equal to notes
> found in the scale. Is this true for all nth-root of Phi scales?

If you have a 1-phi-phi^2 chord, then the sum tone 1+phi is phi^2 and
the difference tone phi^2-phi is 1. Other than in the obvious way, I
don't see how this relates to phi^(1/n).