Re: Octony lullaby

Here is a little lullaby I did in the 7-limit octony

http://www.robertwalker.f9.co.uk/7-lim_octony_lullaby.mid
Robert

--- In tuning@egroups.com, "Robert Walker" <robert_walker@r...> wrote:
> Here is a little lullaby I did in the 7-limit octony
>
> http://www.robertwalker.f9.co.uk/7-lim_octony_lullaby.mid
> Robert

Very nice. But what's an octony? And in particular what is the 7 limit
octony?

It sounds like it should be a Wilson CPS with 8 notes, but the number
8 doesn't appear in Pascal's triangle except as 1 of 8 or 7 of 8 and
those would be octads, not octanys, as in the difference between a
hexad and a hexany. And you spell it octony not octany.

Regards,
-- Dave Keenan

Sorry I shoulda searched the archives first. An octony is a 3 factor
genus, i.e. each note's frequency is given by the product of the
factors in all the subsets of a set of 3 factors (empty set gives 1).
The pitches in the 7-limit octony are 1, 3, 5, 7, 3*5, 3*7, 5*7,
3*5*7, octave reduced if you wish.