Re: meantones

> > EDO degrees
> > meantone EDO L s
> >
> > 1/3 19 3 2
> > 1/4 31 5 3
> > 1/5 43 7 4
> > 1/6 55 9 5
>

You can also say that

L 2n+1
- = ----
s n+1

which, as n goes to infinity, leads to L/s = 2.

So higher meantones are successively
better approximations to 12tet!

ooops...

Bob Valentine

--- In tuning-math@y..., Robert C Valentine <BVAL@I...> wrote:

> So higher meantones are successively
> better approximations to 12tet!

These ones are, since we add 12 to get the sequence. Other sequences
approach other things, of course.

>You can also say that

>L 2n+1
>- = ----
>s n+1

>which, as n goes to infinity, leads to L/s = 2.

>So higher meantones are successively
>better approximations to 12tet!

Only until 1/11-comma MT, after that the fifth becomes
larger than 700 cents.

Manuel

--- In tuning-math@y..., <manuel.op.de.coul@e...> wrote:

> Only until 1/11-comma MT, after that the fifth becomes
> larger than 700 cents.

The best fifth does, not the one from this sequence.