Re: [tuning] wilson mos/ rothenberg

Jason_Yust wrote:

Any generator, as you say, excluding intervals that divide the

> 8ve by an interger in log freq, will produce an infinite number of proper
> scales. But this disregards the number of tones in these scales. I'm
> interested in the generator which produces proper scales the most
> frequently, that is, produces x number of proper scales with the fewest
> number of iterations.

Jason!
If I am understanding you correctly , a look at the http://www.anaphoria.com/hrgm01.html
shows quite a few low numbered scales with different size generators

> The prelude to Tristan und Isolde is in a
> twelve note cyclic system whether or not the orchestra performing it
> intones it to an accurate 12tET within some margin of error (unless that
> margin is > 50 cents). Are cyclic groups perceptually real?

There is enough illustrations in world music to support that they are perceptually real. This
is the Basic of MOS patterns. They are melodically based cycles independent of harmonic
concerns. They are the considered scale Archetypes by Wilson.

>
> I have
> found that difference tones (a relatively weak phenomenon of harmony) are
> clearly perceptable in certain melodic situations, rapid sequences of high
> pitched tones. I don't know if this is also true ourdoors.

I have noticed that difference tones are very much an influence in many world scales that
avoid simple ratios.

>
>
> jason

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