preferred moat?

/tuning-math/files/Erlich/7lin23.gif

Um, this merely encloses every et 1-23...

-Carl

--- In tuning-math@yahoogroups.com, Carl Lumma <ekin@l...> wrote:

> /tuning-math/files/Erlich/7lin23.gif
>
> Um, this merely encloses every et 1-23...
>
> -Carl

These are clearly not ETs, since the complexity of an ET is nearly
identical to the number of notes.

As the name indicates, these are 7-limit linear temperaments, 23 of
them within a 'moat', and the red line is formed by raising each of
complexity and error (after some scaling) to the 2/3 power, adding,
and setting equal to a constant. Dave and I had already looked at ETs
and 5-limit linear temperaments . . .

How did you find this graph? My original post which mentioned it
named the linear temperaments that these numbers index, and then I
later gave the first three components of their wedgies for Gene.

--- In tuning-math@yahoogroups.com, "Paul Erlich" <perlich@a...>
wrote:
> --- In tuning-math@yahoogroups.com, Carl Lumma <ekin@l...> wrote:
>
> > /tuning-math/files/Erlich/7lin23.gif
> >
> > Um, this merely encloses every et 1-23...
> >
> > -Carl
>
> These are clearly not ETs, since the complexity of an ET is nearly
> identical to the number of notes.
>
> As the name indicates, these are 7-limit linear temperaments, 23 of
> them within a 'moat', and the red line is formed by raising each of
> complexity and error (after some scaling) to the 2/3 power, adding,
> and setting equal to a constant. Dave and I had already looked at
ETs
> and 5-limit linear temperaments . . .
>
> How did you find this graph? My original post which mentioned it
> named the linear temperaments that these numbers index,

/tuning-math/message/9317