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An 8:10:11 analogue of meantone?

🔗cityoftheasleep <igliashon@...>

4/26/2011 10:45:36 AM

After a recent post in tuning-math that introduced me to Liese and Triton temperaments, which I mistakenly took to have an 11/8 generator instead of 7/5, I stumbled across a scale in 28-EDO that uses a slightly sharp 11/8 as a generator and gets to a near-Just 5/4 in 5 iterations, a 9/5 in 4, a 6/5 in 7, a 12/7 in 6, an 8/7 (or 9/8, depending on taste) at 9, 11/7 at 10, 3/2 at 12, and works out at the 9-note MOS to be full of 8:10:11 otonalities as well as 1/(8:10:11) utonalities--always on different roots, because 5/4 and 11/10 are in the same interval class and the whole thing works similarly to meantone in that regard, which is pretty cool. It's improper, but not horrendously so (small step is 2 degrees of 28, large is 5), and that's actually what allows 11/10 and 5/4 to share an interval class. Does this temperament have a name? If not, it should, because it's really cool.

-Igs

🔗genewardsmith <genewardsmith@...>

4/26/2011 1:33:44 PM

--- In tuning@yahoogroups.com, "cityoftheasleep" <igliashon@...> wrote:

> Does this temperament have a name? If not, it should, because it's really cool.

It sounds like 43&58, and I don't know a name. What's a good name?

🔗cityoftheasleep <igliashon@...>

4/26/2011 2:56:50 PM

--- In tuning@yahoogroups.com, "genewardsmith" <genewardsmith@...> wrote:
>
> It sounds like 43&58, and I don't know a name. What's a good name?
>

What are the commas? Is it related to any noteworthy families?

-Igs

🔗genewardsmith <genewardsmith@...>

4/26/2011 7:59:46 PM

--- In tuning@yahoogroups.com, "cityoftheasleep" <igliashon@...> wrote:
>
>
> --- In tuning@yahoogroups.com, "genewardsmith" <genewardsmith@> wrote:
> >
> > It sounds like 43&58, and I don't know a name. What's a good name?
> >
>
> What are the commas? Is it related to any noteworthy families?

126/125, 540/539, 5632/5625, 8019/8000.