RE: 12-Tone Dual-Tier Morse-Thue Blues 16EDO Subscale

on Fri, 03 Mar 2006, "Bill Flavell" wrote:

> Diagrammed to show the proportional
> distance between the pitch classes (NOTE:
> I have deliberately pointed the two Morse-Thue
> tiers in the opposite directions for contrast
> [1-3-3-1-3-1-1-3 is ascending/continuous and
> 1-2-2-1, 2-1-1-2 is descending/discontinuous]):
>
>
> C2.......C1 + 1200 cents
> B1.......C1 + 1125 cents
>
> A#1......C1 + 975 cents
> A1........C1 + 900 cents
> G#1......C1 + 825 cents
>
> G1........C1 + 675 cents
> F#1.......C1 + 600 cents
> F1.........C1 + 525 cents
>
> E1.........C1 + 375 cents
> D#1........C1 + 300 cents
> D1..........C1 + 225 cents
>
> C#1........C1 + 75 cents
> C1..........C1 + 0 cents

Hi Bill,

You know, you've left the holes in _exactly_
the right places! ;-) If you fill them in, you
have a continuous scale where every step is
75 cents. Of course, that scale is 16-EDO.

Regards,
Yahya

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--- In tuning@yahoogroups.com, "Yahya Abdal-Aziz" <yahya@...> wrote:
>
>
> on Fri, 03 Mar 2006, "Bill Flavell" wrote:
>
> > Diagrammed to show the proportional
> > distance between the pitch classes (NOTE:
> > I have deliberately pointed the two Morse-Thue
> > tiers in the opposite directions for contrast
> > [1-3-3-1-3-1-1-3 is ascending/continuous and
> > 1-2-2-1, 2-1-1-2 is descending/discontinuous]):
> >
> >
> > C2.......C1 + 1200 cents
> > B1.......C1 + 1125 cents
> >
> > A#1......C1 + 975 cents
> > A1........C1 + 900 cents
> > G#1......C1 + 825 cents
> >
> > G1........C1 + 675 cents
> > F#1.......C1 + 600 cents
> > F1.........C1 + 525 cents
> >
> > E1.........C1 + 375 cents
> > D#1........C1 + 300 cents
> > D1..........C1 + 225 cents
> >
> > C#1........C1 + 75 cents
> > C1..........C1 + 0 cents
>
>
> Hi Bill,
>
> You know, you've left the holes in _exactly_
> the right places! ;-) If you fill them in, you
> have a continuous scale where every step is
> 75 cents. Of course, that scale is 16-EDO.
>
> Regards,
> Yahya

Right, Yahya! :) This one was just a spontaneous
reaction to seeing the "holes" in the 8-tone version.
After sleeping on it, I thought of superimposing
two 3-1-3-1-1-3-1-3 8-tone scales, one ascending from C1
and one descending from C2. That's my preferrable version
and I posted that one later.

Thanks for the response! :)

Bill Flavell

>
> --
> No virus found in this outgoing message.
> Checked by AVG Free Edition.
> Version: 7.1.375 / Virus Database: 268.1.2/274 - Release Date:
3/3/06
>