"Subgeneration"?

I'm looking for a process of generation that would serve as an inverse or foil to the generator/period method. I don't know if what I describe is even possible.

Here's the background. The structure of "dynamic tonality", as I understand it, involves scale generation by the generator/period method. In its polyphonic tuning bends, the size of the generator may change, and the other pitches follow suit, changing at a whole-number multiple of the rate of the generator's change. For example, in a pythagorean chain, when the exact size of the fifth is adjusted, a note defined as being +8 fifths will move 8 times that amount.

What I want is a system of generation where the primary interval's adjustment would be the largest adjustment, and the further out in the chain you go, the differences diminish.

I want the system to be open, i.e. it can be carried out to any number of links. I also want it to generate a variety of intervals with respect to the tonic, not simply converging on the unison for example.

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A harmonic series is an instance of arithmetic sequence (f0*n where n=1 to ??) in the domain of frequency; A chain of fifths is an instance of arithmetic sequence (g*n mod p) in the domain of logarithmic pitch. What, then, could a logarithmic analogue to the subharmonic series?

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Any thoughts are appreciated.

Jacob

--- In tuning@yahoogroups.com, "piccolosandcheese" <udderbot@...> wrote:

> Any thoughts are appreciated.

Yo might look at scales generated by linear recurrences such as those Jacques Dudon favors.