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Re: Improvisation in David Canright's 13 limit twelve tone

🔗Robert Walker <robertwalker@...>

1/20/2002 10:48:02 PM

Hi Kraig,

Interesting to see that you and David are working on similar lines!

David: eight tone harmonic series:

1/3 1/1 5/3 7/3 3/2 11/3 13/3 5/1
1 3 5 7 9 11 13 15
Seven tone one on the 1/1:

1/1 3/1 5/1 7/1 9/1 11/1 13/1
1 3 5 7 9 11 13

Kraig:
1/3 1/1 5/3 7/3 3/2 5/1
1 3 5 7 9 15

1/1 3/1 5/1 7/1 9/1 15/1
1 3 5 7 9 15

(+ 21/5 7/5 7/9)

I'm enjoying improvising in your scale!

Robert

> Robert!
> This scale is really interesting to me in that it has a big overlap with my Centaur
> but takes a different turn see mine below his
>
> Robert Walker wrote:
>
> >
> > 1/1 13/12 9/8 7/6 5/4 4/3 11/8 3/2 13/8 5/3 7/4 11/6 2/1
> > from
> >
> > http://members.telocity.com/~acanright/piano/index.htm
> >
>
> 1/1 13/12 9/8 7/6 5/4 4/3 11/8 3/2 13/8 5/3 7/4 11/6 2/1 David's
>
> 1/1 21/20 9/8 7/6 5/4 4/3 7/5 3/2 14/9 5/3 7/4 15/8 2/1 Kraig's
>
> It illustrates how a slight preference for something can cause such interesting musical
> shifts with David opting for higher harmonics and myself more 7-limit sub structures.
>
>
>
> Possibly with some extra reeds i have around i can have his as an alternate on one of my
> pump organs. Interesting enough http://www.anaphoria.com/trans22.PDF
> on page 10 shows one way this scale could be expanded to 22 tones. Of course it would be
> interesting to see what david would come up with without him knowing about it.
>
> I think Rod Poole's 17 tone guitar has both of these 12 tone scales possibly, i can't
> remember off hand
>
> I am sure erv did not know about David's scale even though he developed a whole series of
> designs called HelixSongs which had two harmonic series a fifth apart but always identical
> i believe
>
> One more related approach is the scale marked 12 in the middle on page 3 of
> http://www.anaphoria.com/tres.PDF
> which i thought i would mention as a different way of drawing upon two harmonic series a
> fifth apart.
>
> The whole 3/2 apart thing as i have mentioned before could be applied to the diamond.
> two diamonds a 3/2 apart. Interestingly and with synchronicity I was thinking about a
> diamond with 1-(3 or 9)-5-7-11-13 with a 1-3-5-7-9-11 a 3/2 above
> which really reflects David's spirit here. now I'll really have to map it out!
>