RE: [tuning] intense team [MOS and Phi]

Joseph Pehrson wrote,

>However, no practical scale IN EXISTENCE has ever used these kinds of
>mathematical constructs. Ironically, though, 2^Phi is actually very
>close to a perfect fifth, so scales constructed from fundamental
>acoustical intervals are, somewhat coincidentally, very close to the
>conceptual scales generated through abstract mathematics. (Or at least
>arithmetic).

Joseph, I don't think I'd say that. 2^phi is 741.54 cents, and the sizes of
the proper scales it generates are 1, 2, 3, 5, 8, 13, 21, . . .

A hello to you all!
As only an occasional lurker in the past, this is my first time posting. My english
sometimes lapses into difficulty ,so please excuse me in advance.
Kraig Grady has been called away to locations away from the Embassy. In the meantime, I
will be taking his place.
-Banaphshu

Dear Joseph Pehrson.
When we later analyzed the tunings of some of the pieces we collected for the "Interiors"
CD, we found that 3 of the pieces seemed to fall into a family of scales that are related to
what you mentioned below. We are still compiling the data and refrain until it is complete but
the evidence is very convincing. The pieces using Santour, harmonium, and Koto are the three
in question.

Joseph Pehrson wrote:

>
>
> However, no practical scale IN EXISTENCE has ever used these kinds of
> mathematical constructs. Ironically, though, 2^Phi is actually very
> close to a perfect fifth, so scales constructed from fundamental
> acoustical intervals are, somewhat coincidentally, very close to the
> conceptual scales generated through abstract mathematics. (Or at least
> arithmetic).

-- Banaphshu
North American Embassy of Anaphoria island
www.anaphoria.com