Tiny feature request for Graham's temperament finder

This is like, *nothing* compared to the recent wonderful improvements w/r/t unison vector search in subgroups, unison vector pages, etc., but depending on how the code is structured this might be easy to do, so might as well mention it:

If I'm looking at a temperament for a "limit" whose elements are fractions, such as http://x31eq.com/cgi-bin/rt.cgi?ets=6_8&limit=2_7%2F5_9%2F5_11%2F5 , can you make it show me the unison vectors as actual ratios? So in this example it would show me 50/49, 2475/2401, 2500/2401, and 99/98.

This is certainly not difficult to do by hand, so don't worry about it if it's any trouble.

Keenan

"Keenan Pepper" <keenanpepper@gmail.com> wrote:

> If I'm looking at a temperament for a "limit" whose
> elements are fractions, such as
> http://x31eq.com/cgi-bin/rt.cgi?ets=6_8&limit=2_7%2F5_9%2F5_11%2F5 ,
> can you make it show me the unison vectors as actual
> ratios? So in this example it would show me 50/49,
> 2475/2401, 2500/2401, and 99/98.

I've done that. What would be harder is factorizing the
ratios with non-integer bases.

> This is certainly not difficult to do by hand, so don't
> worry about it if it's any trouble.

In that case, maybe you could check the results. Extensive
testing is something that would take more trouble. Let me
know if anything's wrong.

Graham

--- In tuning-math@yahoogroups.com, Graham Breed <gbreed@...> wrote:
> I've done that. What would be harder is factorizing the
> ratios with non-integer bases.

Yayyyyyyy!!!

Graham, your website is the best.

> In that case, maybe you could check the results. Extensive
> testing is something that would take more trouble. Let me
> know if anything's wrong.

All the math looks fine so far. I did notice this one blooper with a name:

http://x31eq.com/cgi-bin/rt.cgi?ets=171_138&limit=2_9%2F5_9%2F7

It says "Definitions". This should be "domain" or "terrain", right?

Keenan

On Wed, Oct 19, 2011 at 5:48 PM, Graham Breed <gbreed@gmail.com> wrote:
>
> "Keenan Pepper" <keenanpepper@gmail.com> wrote:
>
> > If I'm looking at a temperament for a "limit" whose
> > elements are fractions, such as
> > http://x31eq.com/cgi-bin/rt.cgi?ets=6_8&limit=2_7%2F5_9%2F5_11%2F5 ,
> > can you make it show me the unison vectors as actual
> > ratios? So in this example it would show me 50/49,
> > 2475/2401, 2500/2401, and 99/98.
>
> I've done that. What would be harder is factorizing the
> ratios with non-integer bases.

You run into some problems with deliberately inconsistent temperaments
though: http://x31eq.com/cgi-bin/rt.cgi?ets=6_8&limit=2_3_9

Bleh.

-Mike

Mike Battaglia <battaglia01@gmail.com> wrote:

> You run into some problems with deliberately inconsistent
> temperaments though:
> http://x31eq.com/cgi-bin/rt.cgi?ets=6_8&limit=2_3_9
>
> Bleh.

They aren't all inconsistent. You give it the option of
being inconsistent, but sometimes it doesn't take advantage
of that possibility, and that amounts to 1:1 being a unison
vector. I don't know what else you could reasonably
expect. The kets still show the details.

Unless you're seeing a different problem.

Note that Keenan's example requires the ratios to be
simplified.

Graham

"Keenan Pepper" <keenanpepper@gmail.com> wrote:

> Graham, your website is the best.

Why thank you!

> > In that case, maybe you could check the results.
> > Extensive testing is something that would take more
> > trouble. Let me know if anything's wrong.
>
> All the math looks fine so far. I did notice this one
> blooper with a name:
>
> http://x31eq.com/cgi-bin/rt.cgi?ets=171_138&limit=2_9%2F5_9%2F7
>
> It says "Definitions". This should be "domain" or
> "terrain", right?

Oh. It comes from the Xenwiki somewhere. I thought it was
a cute name, but maybe there's a section heading that gets
scraped as a temperament name.

Yes, here we are. It looks like the chromatic+pairs page.
Terrain is the first listed, and there's a heading
"Definitions". Both are <h1>. I'll look into it further.

One thing I have noticed is that on this page:

http://xenharmonic.wikispaces.com/Proposed+names+for+rank+2+temperaments

[<1, 1, 1, 3], <0, 3, 7, -1]> is listed as both gorgo and
laconic.

Graham