Re: [tuning] Digest Number 2408

9 toner in 22.

To answer some questions.

I said 'pentatonic' in that there are groups of small steps
separated by single large steps.

Diatonic is the other way round, surely? Groups of large steps
separated by single small steps.

'Anhemitonic' won't do for many many reasons.
I'm still on the lookout for a term that could encapsulate
the 'pentatonic' concept more generically. Polytonic seems
good from one angle but useless from another.

anyhow...

AOB Any other business (last item on an agenda)

Graham filled me in on the Orwell. These scales all follow
the LsLsLsLss pattern. Also if generator is 7/6, then perhaps
the lattice need not contain the 11 limit.

--------------------------

The complementary 'diatonic' for C22 is weird, with 13 tones:

0
5 14
10 19
15 2 <-- tonic is 15, in this case
20 7
3 12
8 17
0

with a tonic triad of 0,491,927 (cents), which has a sort of
second inversion feel to it, to my ear.

Scale pattern:

LLsLLsLLsLLLs
2212212212221 (in 22)

It probably fails some sort of coherence test,
but is interesting nonetheless.

Mark

> I said 'pentatonic' in that there are groups of small steps
> separated by single large steps.
>
>
> Diatonic is the other way round, surely? Groups of large steps
> separated by single small steps.

It's just that around here, the number prefix usually tells
the number of notes in the scale. Meanwhile, "diatonic" is
usually reserved for scales meant to be used diatonically,
as in, melodies and chords, tonal or modal composition, etc.

> Graham filled me in on the Orwell. These scales all follow
> the LsLsLsLss pattern.

That depends on how many notes the scale has, of course.
Orwell is a temperament, not a scale.

> Also if generator is 7/6, then perhaps
> the lattice need not contain the 11 limit.

What the lattice contains is an arbitrary choice. Graham
Gene and Paul can fill you in on how good Orwell is at
the various "limits".

...and I just got finished saying on tuning math how we
don't need to worry about terminology! ;)

-Carl

--- In tuning@yahoogroups.com, "Mark Gould" <mark.gould@a...> wrote:
> 9 toner in 22.
>
> To answer some questions.
>
> I said 'pentatonic' in that there are groups of small steps
> separated by single large steps.
>
>
> Diatonic is the other way round, surely? Groups of large steps
> separated by single small steps.

ok -- thanks. you're right, the pentatonic has more small steps than
large steps, the diatonic has more large steps than small steps.
hmm . . . that would make my decatonics *very* "pentatonic", and my
dodecatonics *very* "diatonic" . . .

> 'Anhemitonic' won't do for many many reasons.
> I'm still on the lookout for a term that could encapsulate
> the 'pentatonic' concept more generically. Polytonic seems
> good from one angle but useless from another.

how about a simple ratio of small to large steps? of course that
would break down when the generator of the scale can fall on either
side of a simple equal division . . .

> Graham filled me in on the Orwell. These scales all follow
> the LsLsLsLss pattern. Also if generator is 7/6, then perhaps
> the lattice need not contain the 11 limit.

well, whether it needs to or not really depends on what you'd like to
use the scale for . . . but i'll have a go at a 7-limit lattice when
i have time . . . is there an accepted 9-nominal notation for orwell?
perhaps kraig could point us to a relevant wilson article . . .

>

Hello Mark!
When it canme time to make a base instrument for the 22 eikosany i was using it was a 13 tone sclae i had tuned up on bars but only had 9 resonators. Melodically it was this sane 13 tone subset, which i have used extensively.

>
>
> Message: 1
> Date: Thu, 6 Feb 2003 12:53:12 -0000 (GMT)
> From: "Mark Gould" <mark.gould@argonet.co.uk>
> Subject:
>
> 9 toner in 22.
>
> To answer some questions.
>
> --------------------------
>
> The complementary 'diatonic' for C22 is weird, with 13 tones:
>
>
>

-- -Kraig Grady
North American Embassy of Anaphoria Island
http://www.anaphoria.com
The Wandering Medicine Show
KXLU 88.9 FM 8-9PM PST