A twelve-note, 11-limit scale

This results from tempering a variety of Fokker blocks using the planar temperament defined by 126/125~176/175~1. I've used the 120-et for the results; since I already called the 108-et the crazy uncle of the family, I don't know where to place 120.

Scale in 120-et
[0, 8, 23, 31, 39, 50, 62, 70, 81, 89, 101, 112]

Interval and triad count
5: 23, 12
7: 36, 36
9: 42, 58
11: 49, 82

Connectivities: 2 5 5 8

Fokker blocks which temper to this scale

1, 21/20, 8/7, 6/5, 5/4, 168/125, 10/7, 3/2, 8/5, 42/25, 25/14, 48/25

1, 21/20, 8/7, 25/21, 5/4, 4/3, 10/7, 3/2, 8/5, 5/3, 25/14, 40/21

1, 25/24, 144/125, 6/5, 5/4, 4/3, 36/25, 3/2, 8/5, 5/3, 9/5, 48/25

1, 21/20, 8/7, 6/5, 5/4, 4/3, 10/7, 3/2, 8/5, 5/3, 9/5, 40/21

1, 22/21, 63/55, 6/5, 5/4, 4/3, 63/44, 3/2, 8/5, 5/3, 9/5, 21/11

--- In tuning-math@y..., "genewardsmith" <genewardsmith@j...> wrote:
> This results from tempering a variety of Fokker blocks using the
>planar temperament defined by 126/125~176/175~1. I've used the 120-
>et for the results; since I already called the 108-et the crazy
>uncle of the family, I don't know where to place 120.

i mention it in my paper, it's a pajara temperament.

--- In tuning-math@y..., "emotionaljourney22" <paul@s...> wrote:

> i mention it in my paper, it's a pajara temperament.

You mentioned the temperament, or 120-et? I don't see what either has to do with pajara, since 50/49 is 4 120-et steps and 64/63 is 3.

--- In tuning-math@y..., "emotionaljourney22" <paul@s...> wrote:
> --- In tuning-math@y..., "genewardsmith" <genewardsmith@j...> wrote:
> > This results from tempering a variety of Fokker blocks using the
> >planar temperament defined by 126/125~176/175~1. I've used the 120-
> >et for the results; since I already called the 108-et the crazy
> >uncle of the family, I don't know where to place 120.
>
> i mention it in my paper, it's a pajara temperament.

Perhaps it would be better to say that 120-tET "supports" pajara
temperament (rather than "is" a pajara temperament), since pajara in
120-tET does not use 120-tET's best approximations to all the relevant
rational intervals.

--- In tuning-math@y..., "genewardsmith" <genewardsmith@j...> wrote:
> --- In tuning-math@y..., "emotionaljourney22" <paul@s...> wrote:
>
> > i mention it in my paper, it's a pajara temperament.
>
> You mentioned the temperament, or 120-et?

120-equal.

> I don't see what either
> has to do with pajara, since 50/49 is 4 120-et steps and 64/63 is 3.

that depends on your mapping! if you use pajara with a 710-cent
generator, you're in 120-equal!

--- In tuning-math@y..., "emotionaljourney22" <paul@s...> wrote:

> that depends on your mapping! if you use pajara with a 710-cent
> generator, you're in 120-equal!

In this case, the mapping was defined by the fact that it had to temper out 126/125 and 176/175.

--- In tuning-math@y..., "genewardsmith" <genewardsmith@j...> wrote:
> --- In tuning-math@y..., "emotionaljourney22" <paul@s...> wrote:
>
> > that depends on your mapping! if you use pajara with a 710-cent
> > generator, you're in 120-equal!
>
> In this case, the mapping was defined by the fact that it had to
>temper out 126/125 and 176/175.

yup -- just pointing out that 120-equal, like 152-equal, can support
a number of different things -- even an adaptive approach, to some
degree.