Some more stuff about Whitewood on the xenharmonic wiki

Hi all,

I was checking out the new apotome family page on the xenharmonic
wiki, and I added a lot of stuff to it. The page is here:

http://xenharmonic.wikispaces.com/Apotome+family

I think it makes more sense for the 5-limit version to be called
"whitewood," since the 5-limit temperament eliminating the pythagorean
limma is "blackwood," so I made that change. The 7-limit version I
also kept as "whitewood," for now.

I also added an "other whitewood" 7-limit extension which 35-tet
supports; this equates the 5-limit chromatic semitone (25/24) with the
3.7-limit septimal comma (65/64). This means that 525/512 is tempered
out. This doesn't seem to be as good as the first 7-limit whitewood
temperament.

I'm also really confused because tempering 2187/2048 and 225/224 seems
to yield 28-tet and 35-tet in Graham's temperament finder, but both of
these aren't marvel temperaments if the best approximations for 5 and
7 are used.

I wrote the two commas as 525/512 and 2187/2048, but maybe there's a
simpler way to express them. I also wasn't sure how to come up with
the POTE generator so I left it blank for now.

Does anyone have any better names for these than "Whitewood" and
"Other Whitewood?" :)

-Mike

--- In tuning@yahoogroups.com, Mike Battaglia <battaglia01@...> wrote:

> Does anyone have any better names for these than "Whitewood" and
> "Other Whitewood?" :)

You get the honor of naming whitewood, but if no one comes up with a better name in a few days, "other whitewood" still has to go. What about redwood?

On Sun, Jan 2, 2011 at 9:36 PM, genewardsmith
<genewardsmith@...> wrote:
>
> --- In tuning@yahoogroups.com, Mike Battaglia <battaglia01@...> wrote:
>
> > Does anyone have any better names for these than "Whitewood" and
> > "Other Whitewood?" :)
>
> You get the honor of naming whitewood, but if no one comes up with a better name in a few days, "other whitewood" still has to go. What about redwood?

I noticed that Graham's temperament finder referred to the 7-limit
blackwood where 64/63 vanishes as "blacksmith." I didn't come up with
the idea of eliminating 64/63, so although I suggest "whitesmith" for
that, I leave the naming convention up to you.

I'll think about "other whitewood," but is there no simpler way to
represent this tuning than the two intervals listed? What other
7-limit commas are tempered out by 35-equal than 525/512? Surely one
of them has to be more useful than that.

-Mike

--- In tuning@yahoogroups.com, Mike Battaglia <battaglia01@...> wrote:

> I'll think about "other whitewood," but is there no simpler way to
> represent this tuning than the two intervals listed? What other
> 7-limit commas are tempered out by 35-equal than 525/512? Surely one
> of them has to be more useful than that.

Some of the usual suspects are tempered out by 35et: 126/125, 3125/3072, 1728/1715 and 2401/2400. But if you don't like 525/512, what about 405/392?