Re: RE: The world according to Rothenberg (re Kraig Grady); my cont.. .

Paul!
As the first eikosany (1,3,5,7,9,11) is found within Dallesandro, the two
dekanies would be apart of its 31 tone scale where the second the
(1,3,7,9,11,15) would have 20 of the 22 tone scale I use all the time. In fact,
the Anaphorian Creation of the Worlds (which you have) is similarly constructed
with an eight tone cycle found in complementary dekanies. I find it melodic

"Paul H. Erlich" wrote:

> From: "Paul H. Erlich" <PErlich@Acadian-Asset.com>
>
> Daniel Wolf wrote,
>
> >(1) Paul Erlich:
>
> >Have you been able to use your decatonics as meaningful scales in any
> pieces?
>
> The last piece I performed at the Microthon was decatonic, using all 10
> tetrads in the standard pentachordal minor scale. The surface has barely
> been scratched; fugues, etc. need to be written.
>
> >I ask because a piece of mine, _Pequod, for Lou Harrison_ (1986) used
> >complementary dekanies from the (1,3,5,7,9,11) and (1,3,7,9,11,15)
> >eikosanies, for example, the dekany
>
> >1*3*11, 1*5*11, 1*7*11, 1*9*11, 3*5*11, 3*7*11, 3*9*11, 5*7*11, 5*9*11,
> >7*9*11 was contrasted
> >with
> >1*3*5, 1*3*7, 1*3*9, 1*5*7, 1*5*9, 1*7*9, 3*5*7, 3*5*9, 3*7*9, 5*7*9
>
> >I found that each dekany collection was coherent, but not as a scale.
> >Although each had a regular pattern of scale steps,
>
> That's a stretch! Compare the regularity of having two identical pentachords
> within all 10 octave species of the pentachordal decatonic scale, or the
> distributional evenness of the symmetrical decatonic scale. What's the
> neatest decription you can come up with for the "regularity" of the pattern
> of scale steps in the dekanies?
>
> >they were too dense to
> >function akin to a diatonic or pentatonic scale or not dense and even
> enough
> >to function like a chromatic scale. Instead, subsets of each dekany seemed
>
> >to form the most important local melodic units and the dekany as a whole
> >formed the collection or pool of harmonic resources. I am fond of the
> >ambiguous character of the dekanies, but just can't call them scales.
>
> They're certainly not melodic entities.

-- Kraig Grady
North American Embassy of Anaphoria Island
http://www.anaphoria.com