more OEIS

Gene, I notice you submitted sequence A112732, "Denominators of the convergents to the continued fraction for log2(5)/4": 1,2,5,7,12,19,31,174...

There's another sequence in the OEIS, A046104: "Denominators of convergents to the diesis", whose title implies the continued fraction for log2(128/125), whose convergent denominators are 29,117,263,643,906...

But instead A046104 starts 1,3,28,59,146,643... and I just realised that it actually computes the convergents related to the Just major 3rd, 5/4, instead. I'm not sure whether the appropriate correction would be to the title of A046104, or to the sequence itself! (On top of that mix-up, I suspect the author was really aiming for your sequence, which is the useful one of the three.)

--- In tuning-math@yahoogroups.com, Jon Wild <wild@...> wrote:
>
>
> Gene, I notice you submitted sequence A112732, "Denominators of the
> convergents to the continued fraction for log2(5)/4":
> 1,2,5,7,12,19,31,174...

I've been computing away for days now, and plan to submit three new
sequences: locations of sucessively higher peak values of the absolute
value of the zeta function along the critical line, locations of
succesively higher integrals of the |zeta| between two zeros, and
locations of pairs of zeros such that (t_{n+1) - t_n)/ln(t) take on
successively higher values. These all relate to edos, and I'd like to
cross-reference to both zeta function sequences and edo sequences. How
do you find the cross references; you might know since it seems you've
been doing it.

> There's another sequence in the OEIS, A046104: "Denominators of
> convergents to the diesis", whose title implies the continued
fraction for
> log2(128/125), whose convergent denominators are 29,117,263,643,906...
>
> But instead A046104 starts 1,3,28,59,146,643... and I just realised
that
> it actually computes the convergents related to the Just major 3rd,
5/4,
> instead. I'm not sure whether the appropriate correction would be to
the
> title of A046104, or to the sequence itself! (On top of that mix-up, I
> suspect the author was really aiming for your sequence, which is the
> useful one of the three.)

I would write and point point that the given sequences is incorrectly
described, and should be described as the denominators of the
convergents of log2(5) (not log2(5/4).) The reason for this is that
the sequence starts with 1, not 3. Anyway 5 is a better choice. I
don't see a lot of point in looking for convergents to the diesis.

--- In tuning-math@yahoogroups.com, Jon Wild <wild@...> wrote:

> There's another sequence in the OEIS, A046104: "Denominators of
> convergents to the diesis", whose title implies the continued
fraction for
> log2(128/125), whose convergent denominators are 29,117,263,643,906...

This sequence was proposed by Eric Weisstein; anyone know if he is
interesting in tuning theory?

--- In tuning-math@yahoogroups.com, "Gene Ward Smith"
<genewardsmith@...> wrote:
>
> --- In tuning-math@yahoogroups.com, Jon Wild <wild@> wrote:
>
> > There's another sequence in the OEIS, A046104: "Denominators of
> > convergents to the diesis", whose title implies the continued
> fraction for
> > log2(128/125), whose convergent denominators are
29,117,263,643,906...
>
> This sequence was proposed by Eric Weisstein; anyone know if he is
> interesting in tuning theory?

I know he used to host an encyclopedia of music theory, along with
the math encyclopedia that turned into Mathworld, at Wolfram. It was
a pretty bad encyclopedia of music theory actually, and I wrote and
corrected a bunch of stuff years ago. The information seemed to have
been cobbled together from misunderstood books from almost a century
ago. It wasn't necessarily a particular interest of his - he also
compiled encyclopedias of chemistry and physics and other subjects.
They might still be online somewhere!

Gene:
> How do you find the cross references; you might know since it seems > you've been doing it.

I have no better trick than searching for keywords in the search box. (There are tips on the site about search tags like "author: " etc.) Searching for "temperament" gives 24 results, most of which are the ones by Mark Rankin that we discussed earlier, plus a few continued fraction sequences, and rounded Hz values for various 12tet scales. (Sloane has done a terrific job on the encyclopedia, given that it's a one-man job, but sometimes I wish he had been more selective - there are lots of useless sequences there.)

Searching for tuning, edo, or other likely terms doesn't give any more useful links.

Searching for "riemann zeta" gives 111 results in the handbook, so there's lots to choose from if you're adding cross-references... ("zeta critical" gives only 5 results, so that's encouraging. None is your suggestion.)