Octacot?

Given dicot and tetracot, shoudn't octafifths really be octacot?

"Octacot" can be described as nonoctave 88tet with octaves, or as
tetracot sliced in half. If we are using 5/34 as a generator for
tetracot, then we get octacot by using 5/68 instead. Octacot has TM
basis {245/243, 2400}, and the same TOP tuning as tetracot. The latter
fact shows we can't rely just on TOP tuning for naming things--the
fact that octacot has a generator half as large surely amounts to
something.

We would now have:

dicot 5/17 generator
tetractot 5/34 generator
octacot 5/68 generator

for the whole cot family.

--- In tuning-math@yahoogroups.com, "Gene Ward Smith" <gwsmith@s...>
wrote:
> Given dicot and tetracot,

Don't forget tricot.

shoudn't octafifths really be octacot?
>
> "Octacot" can be described as nonoctave 88tet with octaves, or as
> tetracot sliced in half. If we are using 5/34 as a generator for
> tetracot, then we get octacot by using 5/68 instead. Octacot has TM
> basis {245/243, 2400

/2401?

--- In tuning-math@yahoogroups.com, "Paul Erlich" <perlich@a...>
wrote:
> --- In tuning-math@yahoogroups.com, "Gene Ward Smith"
<gwsmith@s...>
> wrote:
> > Given dicot and tetracot,
>
> Don't forget tricot.

Too late, I already did. Not only that, googling restricted to Yahoo
groups turns up mostly French language groups, plus Bisexual Pagan
Teens. Can you brief me?

--- In tuning-math@yahoogroups.com, "Gene Ward Smith" <gwsmith@s...>
wrote:
> --- In tuning-math@yahoogroups.com, "Paul Erlich" <perlich@a...>
> wrote:
> > --- In tuning-math@yahoogroups.com, "Gene Ward Smith"
> <gwsmith@s...>
> > wrote:
> > > Given dicot and tetracot,
> >
> > Don't forget tricot.
>
> Too late, I already did. Not only that, googling restricted to
Yahoo
> groups turns up mostly French language groups, plus Bisexual Pagan
> Teens. Can you brief me?

As usual, you need only look here:

/tuning/database?
method=reportRows&tbl=10&sortBy=6

or here:

http://tonalsoft.com/enc/eqtemp.htm

--- In tuning-math@yahoogroups.com, "Paul Erlich" <perlich@a...>
wrote:

> As usual, you need only look here:
>
> /tuning/database?
> method=reportRows&tbl=10&sortBy=6
>
> or here:
>
> http://tonalsoft.com/enc/eqtemp.htm

And I was supposed to know we were talking 5-limit exactly how?

I don't recall seeing the diagram of 5-limit commas on the 5-limit
equilateral lattice before. It's one way of seeing what might make
good Fokker blocks without doing any math.

--- In tuning-math@yahoogroups.com, "Gene Ward Smith" <gwsmith@s...>
wrote:
> --- In tuning-math@yahoogroups.com, "Paul Erlich" <perlich@a...>
> wrote:
>
> > As usual, you need only look here:
> >
> > /tuning/database?
> > method=reportRows&tbl=10&sortBy=6
> >
> > or here:
> >
> > http://tonalsoft.com/enc/eqtemp.htm
>
> And I was supposed to know we were talking 5-limit exactly how?

I didn't say that, Gene. But dicot and tetracot are there on those
tables, too, and since you brought them up, it didn't seem wholly
irrelevant to bring up tricot.