graph of 10- to 72-EDO "5ths"

I've added a graph of the size of the best approximation
of the "5th" for all EDOs from 10 to 72, to my
Tuning Dictionary entry for "perfect 5th""

http://www.ixpres.com/interval/dict/p5.htm

-monz
http://www.monz.org
"All roads lead to n^0"

--- In tuning@y..., "monz" <joemonz@y...> wrote:

/tuning/topicId_24305.html#24305

>
> I've added a graph of the size of the best approximation
> of the "5th" for all EDOs from 10 to 72, to my
> Tuning Dictionary entry for "perfect 5th""
>
> http://www.ixpres.com/interval/dict/p5.htm
>
>
>
> -monz
> http://www.monz.org
> "All roads lead to n^0"

Not to be "picky," Monz, but might you consider including a line that
runs horizontally at 702 cents as well?? Or would it clutter the
chart too much??

__________ _______ _____
Joseph Pehrson

--- In tuning@y..., jpehrson@r... wrote:

/tuning/topicId_24305.html#24314

> --- In tuning@y..., "monz" <joemonz@y...> wrote:
>
> > I've added a graph of the size of the best approximation
> > of the "5th" for all EDOs from 10 to 72, to my
> > Tuning Dictionary entry for "perfect 5th""
> >
> > http://www.ixpres.com/interval/dict/p5.htm
>
>
> Not to be "picky," Monz, but might you consider including
> a line that runs horizontally at 702 cents as well?? Or
> would it clutter the chart too much??

Another case of "great minds think alike"?...

I was originally going to add a line at the Semitone value
of 3:2 but didn't feel like going thru the hassle. But now
since you've asked... revisit the link and click "refresh".

And I used a much more accurate value than 702 cents,
701.9550009 to be exact. You can see that 29- and 41-EDO
approximate the just "5th" very well, as their plots are
nearly obliterated by that of the 3:2.

-monz
http://www.monz.org
"All roads lead to n^0"

--- In tuning@y..., "monz" <joemonz@y...> wrote:

/tuning/topicId_24305.html#24318

> http://www.ixpres.com/interval/dict/p5.htm
>
> ... You can see that 29- and 41-EDO approximate the
> just "5th" very well, as their plots are nearly
> obliterated by that of the 3:2.

Oops... my bad.

29-EDO does indeed give a very good approximation to 3:2,
in fact it's the first EDO to give a better approximation
to that interval than 12-EDO.

But it's not as good as 53. I meant to write 41- and 53-EDO
in the above.

-monz
http://www.monz.org
"All roads lead to n^0"