RE: [tuning] Re: Monz Question: Prime Limit

Monz wrote,

>I have tended in my own music to see both 13 and 19 (maybe 23)
>as limits beyond which I don't often feel the need to go.
>I pretty much hear a lot of my 'head music' in 13-limit, but
>I really love the 4:6:10:14:19 version of the 'Hendrix Chord'

Jacky, Monz -- Aren't we really talking about _odd_ limit and not _prime_
limit?

Anyway, as you can see on my "best-case" harmonic entropy graph, I feel that
very rarely does an odd number as high as 13 matter for the consonance of
diads, while for triads, I know that even 19 can matter in a second-order
kind of way, and considerably higher odd numbers may matter for larger
chords. Quantification of this must wait until I can calculate true triadic
and n-adic hamronic entropy . . .

--- In tuning@egroups.com, "Paul H. Erlich" <PERLICH@A...> wrote:
> http://www.egroups.com/message/tuning/12467
>
> Monz wrote,
>
> > I have tended in my own music to see both 13 and 19 (maybe 23)
> > as limits beyond which I don't often feel the need to go.
> > I pretty much hear a lot of my 'head music' in 13-limit, but
> > I really love the 4:6:10:14:19 version of the 'Hendrix Chord'
>
> Jacky, Monz -- Aren't we really talking about _odd_ limit and
> not _prime_ limit?

Well, no, I wasn't.

> Anyway, as you can see on my "best-case" harmonic entropy graph,
> I feel that very rarely does an odd number as high as 13 matter
> for the consonance of diads, while for triads, I know that even
> 19 can matter in a second-order kind of way, and considerably
> higher odd numbers may matter for larger chords.

Jacky and Paul, yes, I agree with this completely.

I hadn't gone into the angle of how many notes were under
more-or-less-simultaneous (or systematic) consideration.
Good of you to elaborate.

> Quantification of this must wait until I can calculate true
> triadic and n-adic hamronic entropy . . .

I can't wait to see this.

(BTW - when and why did 'dyad' become 'diad'?...)

-monz
http://www.ixpres.com/interval/monzo/homepage.html