13-bridge in Saggital

Where did this wander off to? In the comma list Dave gave me, I didn't
find one. The simplest would be 40/39; the best from the point of view
of atomic temperament would be 819/800, since atomic maps this to
[-1, 72], and so a 13/8 would be [8,0] + [-1, 72]; in other words,
we'd be using (13/8)/(819/800) = 100/63 = (5/4)^2/(64/63) as a
stand-in for 800 cents; it is actually 799.89 cents.

--- In tuning-math@yahoogroups.com, "Gene Ward Smith" <gwsmith@s...>
wrote:
> Where did this wander off to? In the comma list Dave gave me, I
didn't
> find one.

That's right. There's no requirement for 4095:4096 to vanish in the
extreme precision (Olympian) notation. So the symbol /|) is listed
only with its primary role of 35-medium-diesis (35:36). In Olympian,
13-limit commas might be approximated more closely by other 23-limit-
sans-13 ones (which may require new symbols).

What's the definition of a "bridge" here?

> The simplest would be 40/39;

That's what we call the 5:13-small-diesis. It notates enough ratios
that it ought to have its own symbol in Olympian.

> the best from the point of view
> of atomic temperament would be 819/800,

That would be the 25:91-small-diesis (5*5:7*13). I'm afraid 91/25
and its octave and fifth modulations occur hardly at all in the
Scala archive, and so a symbol of that size (40.64 cents) will end
up being commandeered by some other comma such as the 125-small-
diesis (125:128, 41.06 c) or the 11:19-small-diesis (297:304, 40.33
c) which will notate more common ratios.

> since atomic maps this to
> [-1, 72], and so a 13/8 would be [8,0] + [-1, 72]; in other words,
> we'd be using (13/8)/(819/800) = 100/63 = (5/4)^2/(64/63) as a
> stand-in for 800 cents; it is actually 799.89 cents.

You've lost me here. Why do we need a stand in for 800 c?

So what would the Olympian symbol be for the 13-medium-diesis
(1024:1053). Remember it can't have more than 2 non-accent flags and
1 accent.

BTW, watch that spelling of sagittal if you want your posts to be
findable.