Re: Jackys question... (11/10 etc...)

Hi Jacky,

Perhaps this isn't a "middle path" solution as such,
but I'll give you some 31et thoughts on your interval list.
I give here; your list, the indexes in 31et, and then
the step list for a 14 tone 'something' in 31et that it
is embedded in.

1/1 11/10 11/9 11/8 11/7 11/6
0 4 9 14 20 27
22 32 32 222 232 22

I'll rotate it so that the 'something' looks more tetradic.

222223 23 222223

A posible RI interpretaion of this is...

1/1 25/24 11/10 6/5 5/4 4/3
25/18
3/2 25/16 18/11 9/5 15/8

This is a parent of a non-MOS 7-tone scale that came
up on the list recently and is an interesting mixture
of major minor and neutral triads.

4455445

(decoder ring : 8 ~ 6/5, 9 ~ 11/9, 10 ~ 5/4, 18 ~ 3/2)

These were just some of the things I found when I was
looking at approximating this interval list in 31.

Bob Valentine

--- In tuning@y..., Robert C Valentine <BVAL@I...> wrote:
>
> Hi Jacky,
>
> Perhaps this isn't a "middle path" solution as such,

"Transposability" similar to how you define it is a feature
of "middle path" solutions.

> but I'll give you some 31et thoughts on your interval list.
> I give here; your list, the indexes in 31et, and then
> the step list for a 14 tone 'something' in 31et that it
> is embedded in.
>
> 1/1 11/10 11/9 11/8 11/7 11/6
> 0 4 9 14 20 27
> 22 32 32 222 232 22

Interesting! But there's only one hexad in this scale, right?
>
> I'll rotate it so that the 'something' looks more tetradic.
>
> 222223 23 222223

More tetrachordal?
>
> This is a parent of a non-MOS 7-tone scale that came
> up on the list recently and is an interesting mixture
> of major minor and neutral triads.
>
> 4455445

The Arabic diatonic. Neato!