plot of 5-limit commas

I plotted all 5-limit commas for which

tenney complexity [TC] < 30
and
tenney-based heuristic error [(n-d)/TC/log(TC)] < 0.001
and
the comma is not a higher power of some other comma

/tuning-math/files/Paul/waterfall1.gif

who can explain the "woof" and "warp", or curved 'grid', apparent in
this plot?

here is the plot with the ratios of the commas written in:

/tuning-math/files/Paul/waterfall2.gif

the size of the font used for each comma was 16^(1-epimericity)
where the epimerity is tenney based and equal to log(n-d)/log(n*d).

one can easily imagine the epimericity 'contours' running across this
plot, though i wasn't able to show them as easily as i thought i
would . . .

anyway, i hope herman miller, at least, takes a look at this!

--- In tuning-math@yahoogroups.com, "Paul Erlich" <perlich@a...>
wrote:

> who can explain the "woof" and "warp", or curved 'grid', apparent
in
> this plot?

I'd start by taking ratios of commas along lines, and see if there is
a single high-quality comma behind the line.

--- In tuning-math@yahoogroups.com, "Gene Ward Smith" <gwsmith@s...>
wrote:
> --- In tuning-math@yahoogroups.com, "Paul Erlich" <perlich@a...>
> wrote:
>
> > who can explain the "woof" and "warp", or curved 'grid', apparent
> in
> > this plot?
>
> I'd start by taking ratios of commas along lines, and see if there
is
> a single high-quality comma behind the line.

No; the lines are essentially single numerators in one direction, and
single denominators in the other.