Gene - 17 & 19 Fokker blocks?

Hi Gene,

I have a well temperament here by you, a
"289/288 and 2187/2176 Fokker block". I assume those
are two 17-limit commas? Know of any other good
Fokker blocks involving 17 and/or 19 that yield WTs?

-Carl

--- In tuning@yahoogroups.com, "Carl Lumma" <clumma@...> wrote:
>
> Hi Gene,
>
> I have a well temperament here by you, a
> "289/288 and 2187/2176 Fokker block". I assume those
> are two 17-limit commas? Know of any other good
> Fokker blocks involving 17 and/or 19 that yield WTs?

No, but you have the idea, I think: 12-note Fokker blocks based on
{2,3,17,19} can use the good approximation 12 gives to 3, 17 and 19,
and hence will tend to be rather regular in step size. Accumulating a
list of reasonably small (say, under 10 cents) {2,3,17,19} commas
tempered out by 12-et would be the first step. So we'd start from the
above two commas and 513/512, 324/323, 6144/6137, 4624/4617 etc. and
see what we get as Fokker blocks. A project for tuning-math.

--- In tuning@yahoogroups.com, "Gene Ward Smith" <genewardsmith@...>
wrote:

> No, but you have the idea, I think: 12-note Fokker blocks based on
> {2,3,17,19} can use the good approximation 12 gives to 3, 17 and 19,
> and hence will tend to be rather regular in step size.

Sorry, I should say will allow for 19-limit consonances while being
regular. It's the small size of commas which makes the steps regular.