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Higher-rank meantone extensions (muse temperaments?)

🔗Keenan Pepper <keenanpepper@...>

7/8/2011 5:59:01 PM

I ran into these while exploring with Graham's website:

Calliope: http://x31eq.com/cgi-bin/rt.cgi?ets=14c_12_19p&limit=11
Clio: http://x31eq.com/cgi-bin/rt.cgi?ets=7p_31_12&limit=11
Erato: http://x31eq.com/cgi-bin/rt.cgi?ets=19p_12f_31&limit=13
Euterpe: http://x31eq.com/cgi-bin/rt.cgi?ets=14c_31_12&limit=11

Does anyone know who discovered these and named them after muses?

If I find another planar temperament tempering out 81/80, should I name it after a muse too? Eventually there ought to be 9 of them, right? =P

Some of them are pretty sweet; I'm trying to figure out some good scales in them that can act as "extensions" of meantone pentatonic or diatonic (perhaps hyper-Myhill).

Keenan

🔗genewardsmith <genewardsmith@...>

7/8/2011 7:25:26 PM

--- In tuning@yahoogroups.com, "Keenan Pepper" <keenanpepper@...> wrote:
>
> I ran into these while exploring with Graham's website:
>
> Calliope: http://x31eq.com/cgi-bin/rt.cgi?ets=14c_12_19p&limit=11
> Clio: http://x31eq.com/cgi-bin/rt.cgi?ets=7p_31_12&limit=11
> Erato: http://x31eq.com/cgi-bin/rt.cgi?ets=19p_12f_31&limit=13
> Euterpe: http://x31eq.com/cgi-bin/rt.cgi?ets=14c_31_12&limit=11
>
> Does anyone know who discovered these and named them after muses?

I named them.

> If I find another planar temperament tempering out 81/80, should I name it after a muse too? Eventually there ought to be 9 of them, right?

So long as it isn't already on this page:

http://xenharmonic.wikispaces.com/Didymus+rank+three+family

🔗genewardsmith <genewardsmith@...>

7/8/2011 7:28:28 PM

--- In tuning@yahoogroups.com, "Keenan Pepper" <keenanpepper@...> wrote:

> Some of them are pretty sweet; I'm trying to figure out some good scales in them that can act as "extensions" of meantone pentatonic or diatonic (perhaps hyper-Myhill).

Hobbit scales would be one possibility. How large do you like? 12 and 19 are good choices.

🔗Keenan Pepper <keenanpepper@...>

7/8/2011 9:16:39 PM

--- In tuning@yahoogroups.com, "genewardsmith" <genewardsmith@...> wrote:
> I named them.

I should have guessed.

> > If I find another planar temperament tempering out 81/80, should I name it after a muse too? Eventually there ought to be 9 of them, right?
>
> So long as it isn't already on this page:
>
> http://xenharmonic.wikispaces.com/Didymus+rank+three+family

I should have found this page too. I searched for "meantone" and "syntonic", but you just had to call it "Didymus", didn't you? I guess it makes sense that the most important comma in music has several different names.

Keenan

🔗Graham Breed <gbreed@...>

7/9/2011 1:41:05 PM

"genewardsmith" <genewardsmith@...> wrote:
>
> --- In tuning@yahoogroups.com, "Keenan Pepper"
> <keenanpepper@...> wrote:

> > If I find another planar temperament tempering out
> > 81/80, should I name it after a muse too? Eventually
> > there ought to be 9 of them, right?
>
> So long as it isn't already on this page:
>
> http://xenharmonic.wikispaces.com/Didymus+rank+three+family

If you want names to be recognized, please put them on one
of the pages I scrape. They are:

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

http://xenharmonic.wikispaces.com/optimal+patent+val

http://xenharmonic.wikispaces.com/chromatic+pairs

If you think it's easy to crawl the wiki looking for new
names, please do the crawling and put what you find in one
place with a consistent format for me to scrape. Then you
can try and resolve the inconsistencies.

My script is still reporting the same thing being called
Unidec in one place and Hendec in another.

There are still two things called Tritonic, as I noted on
1st May.

There's something called Bleu with an ill-formed map in
chromatic_pairs.

There's still a duplicate Meantone that I'm still calling
Meaningless.

There's still something called Dynwen that looks like it
should be Dwynwen.

Is Sqrtphi really supposed to be 49p&72 in the 13-limit
when 49f&72 is simpler and more accurate? I really don't
like obscure things like 49p&72 getting into the catalog
because I have to intervene to get the reverse mapping to
work.

There's a duplicate 13-limit Negri I've called Blackie.

Why has Isis been renamed as Marveloid? Nobody complained
when I called it Isis to bring some gender balance to the
deity names.

Everything else should be reconciled now.

Graham

🔗genewardsmith <genewardsmith@...>

7/10/2011 7:26:15 AM

--- In tuning@yahoogroups.com, Graham Breed <gbreed@...> wrote:

> My script is still reporting the same thing being called
> Unidec in one place and Hendec in another.

I've fixed most of these, but you need to define Meaningless and Blackie.

🔗Graham Breed <gbreed@...>

7/10/2011 9:21:18 AM

"genewardsmith" <genewardsmith@...> wrote:
>
>
> --- In tuning@yahoogroups.com, Graham Breed <gbreed@...>
> wrote:
>
> > My script is still reporting the same thing being called
> > Unidec in one place and Hendec in another.
>
> I've fixed most of these, but you need to define
> Meaningless and Blackie.

Meaningless is listed like this in optimal+patent+val:

<a class="wiki_link" href="/Meantone+family">Meantone</a>:
<a class="wiki_link" href="/74edo">74edo</a> 12&31
25.899<br />

The lesser Negri is this, in
proposed+names+for+rank+2+temperaments:

<li>negri [<1, 2, 2, 3, 2, 4], <0, -4, 3, -2, 14,
-3]></li>

Maybe you can think of a better name for it.

Graham

🔗genewardsmith <genewardsmith@...>

7/10/2011 11:38:33 AM

--- In tuning@yahoogroups.com, Graham Breed <gbreed@...> wrote:

> <li>negri [<1, 2, 2, 3, 2, 4], <0, -4, 3, -2, 14,
> -3]></li>
>
> Maybe you can think of a better name for it.

I don't know about better, but it's been listed as "Negril" for a while so I stuck with that.