Mediants

I didn't have any knowledge of 'mediants' in fraction-speak. I just thought
it was a an average or mean of two intervals. Anyhow, what I was wondering
was if there was a name for sequences that converge to the same number, but
never intersect at any point.

Is there also a name for the meantone temperament based on the 19/17 major
second?

Mark

--- In tuning@yahoogroups.com, "Mark Gould" <mark.gould@a...> wrote:

> I didn't have any knowledge of 'mediants' in fraction-speak. I just
thought
> it was a an average or mean of two intervals. Anyhow, what I was
wondering
> was if there was a name for sequences that converge to the same
number, but
> never intersect at any point.

I doubt it; this is true of most pairs of sequences which converge to
the same point, and I don't see what the importance of it would be.

> Is there also a name for the meantone temperament based on the
19/17 major
> second?

Not as far as I know, but clearly it would work.

--- In tuning@yahoogroups.com, "Mark Gould" <mark.gould@a...> wrote:
> Is there also a name for the meantone temperament based on the 19/17
major
> second?

It could certainly be called 5/19-comma meantone, but in practice it
might well be indistinguishable from 1/4-comma.