Some beat-up generators for "nonlinear" temperaments

By "nonlinear" I mean a rank two temperament whose period subdivides the octave. As usual, the first number given is the brat and the polynomial has a root given the generator. The period is 600 cents for all but Augene, where it is 400 cents.

Pajara 4 x^6 - 8x^5 + 16x^4 - 32
Augene 1 (x-1)^3 - 16/125
Doublewide 2 25x^8 + 20x^7 + 4x^6 - 200
Doublewide 5/2 50x^8 + 80x^7 + 32x^6 - 625
Diaschismic 1 25x^6 - 50x^5 + 25x^4 - 32
Wizard 1 25x^14 - 40x^7 - 50x^2 + 16

Gene wrote :

> By "nonlinear" I mean a rank two temperament whose period > subdivides the octave. As usual, the first number given is the brat > and the polynomial has a root given the generator. The period is > 600 cents for all but Augene, where it is 400 cents.
>
> Pajara 4 x^6 - 8x^5 + 16x^4 - 32
> Augene 1 (x-1)^3 - 16/125
> Doublewide 2 25x^8 + 20x^7 + 4x^6 - 200
> Doublewide 5/2 50x^8 + 80x^7 + 32x^6 - 625
> Diaschismic 1 25x^6 - 50x^5 + 25x^4 - 32
> Wizard 1 25x^14 - 40x^7 - 50x^2 + 16

Interesting. Yes, sure you can do that. Do they have Eq-b and -c (= differential coherence) qualities ?

There are also polynomial temperaments that integrate sequences transposed by 2^(1/n), I have been calling "cyclonics".
How would you class those? semi-regular temperaments ?
- - - - - - -
Jacques

--- In tuning@yahoogroups.com, Jacques Dudon <fotosonix@...> wrote:

> Interesting. Yes, sure you can do that. Do they have Eq-b and -c (=
> differential coherence) qualities ?

I don't know the definition of differential coherence, but they do have WQ=q properties if I understand what you mean by that.

> There are also polynomial temperaments that integrate sequences
> transposed by 2^(1/n), I have been calling "cyclonics".
> How would you class those? semi-regular temperaments ?

Transposition by 2^(1/n) sounds as if you are talking about regular temperaments, but I don't know what you mean by integrating sequences.

--- In tuning@yahoogroups.com, "genewardsmith" <genewardsmith@...> wrote:
>
>
>
> --- In tuning@yahoogroups.com, Jacques Dudon <fotosonix@> wrote:
>
> > Interesting. Yes, sure you can do that. Do they have Eq-b and -c (=
> > differential coherence) qualities ?
>
> I don't know the definition of differential coherence, but they do have WQ=q properties if I understand what you mean by that.

Eq-b, sorry.