Some 29-note, 13-limit MOS

While we are waiting for George, here is a baseline for comparison:

13-limit schismic:

[[1, 1, 7, 11, 14, 16], [0, 1, -8, -14, -18, -21]]

generator=702.6605069, rms error = 6.012994024

A sister system is this one:

[[1, 1, -10, -6, -3, -1], [0, 1, 21, 15, 11, 8]]

generator = 704.3917105, rms error = 6.209025908

If you up the ante to two 29-equal scales about 16 cents
apart, we have this:

[[29, 46, 67, 81, 100, 107], [0, 0, 1, 1, 1, 1]]

generators = [1200/29, 15.82578653], rms error a nice 2.277983572

--- In tuning@y..., "Gene Ward Smith" <genewardsmith@j...> wrote:
> While we are waiting for George, here is a baseline for comparison:
>
> 13-limit schismic:
>
> [[1, 1, 7, 11, 14, 16], [0, 1, -8, -14, -18, -21]]
>
> generator=702.6605069, rms error = 6.012994024
>
>
> A sister system is this one:
>
> [[1, 1, -10, -6, -3, -1], [0, 1, 21, 15, 11, 8]]
>
> generator = 704.3917105, rms error = 6.209025908
>
>
> If you up the ante to two 29-equal scales about 16 cents
> apart, we have this:
>
> [[29, 46, 67, 81, 100, 107], [0, 0, 1, 1, 1, 1]]
>
> generators = [1200/29, 15.82578653], rms error a nice 2.277983572

this last one was made famous by graham.

but i suspect george's scale is not an MOS, but rather a "hyper-MOS";
that is, a periodicity block with *more* than one unison vector *not*
tempered out -- that is, three or fewer are tempered out.

--- In tuning@y..., "wallyesterpaulrus" <wallyesterpaulrus@y...>
wrote:
> --- In tuning@y..., "Gene Ward Smith" <genewardsmith@j...> wrote:
> > While we are waiting for George, here is a baseline for
comparison:
> >
> > 13-limit schismic: ...
>
> but i suspect george's scale is not an MOS, but rather a "hyper-
MOS";
> that is, a periodicity block with *more* than one unison vector
*not*
> tempered out -- that is, three or fewer are tempered out.

How about none of the above? (Sorry but this will have to
wait, 'cause I'm really busy now.)

--George

--- In tuning@y..., "wallyesterpaulrus" <wallyesterpaulrus@y...> wrote:

> but i suspect george's scale is not an MOS, but rather a "hyper-MOS";
> that is, a periodicity block with *more* than one unison vector *not*
> tempered out -- that is, three or fewer are tempered out.

I presumed it was not a MOS, which is why I called it a baseline. These MOS seem viable options, however!