12-Tone Dual-Tier "Nested" Morse-Thue Blues 16EDO Subscale

I came up with a better way to achieve the 12-tone 16EDO
Morse-Thue blues subscale last night using the process of
"nesting" (superimposing the prime and inversion forms of
a subscale in the minimum amount of pitch registral space).

The resulting 16EDO pitch classes used would be
1,3,4,5,7,8,9,10,12,13,14,16.

There is a 3-1-3-1-1-3-1-3 rotation of the 8-place
Morse-Thue sequence both ascending from pitch
class 1, and descending from pitch class 16.

It also has the identical spacing/key placement
of the 12EDO minor 3rd interval string ascending from
C1 (C1-D#1-F#1-A1-C2) and descending from
B1 (B1-G#1-F1-D1-B0) as well as the 12EDO
tritone ascending from C1 (C1-F#1-C2) and descending from
B1 (B1-F1-B0).

This particular form of the scale is also symmetrical.

I'll try and post a pitch-class/cents value diagram
later today.

Bill Flavell

> I came up with a better way to achieve the 12-tone 16EDO
> Morse-Thue blues subscale last night using the process of
> "nesting" (superimposing the prime and inversion forms of
> a subscale in the minimum amount of pitch registral space).
>
> The resulting 16EDO pitch classes used would be
> 1,3,4,5,7,8,9,10,12,13,14,16.

So here's a Scala file for that

!
Bill Flavell's nested Morse-Thue 16-tET subscale.
12
!
75.0 !......1
225.0 !.....3
300.0 !.....4
375.0 !.....5
525.0 !.....7
600.0 !.....8
675.0 !.....9
750.0 !....10
900.0 !....12
975.0 !....13
1050.0 !...14
1200.0 !...16
!

-Carl

Thank you very much, Carl! :)

Bill Flavell

--- In tuning@yahoogroups.com, "Carl Lumma" <clumma@...> wrote:
>
> > I came up with a better way to achieve the 12-tone 16EDO
> > Morse-Thue blues subscale last night using the process of
> > "nesting" (superimposing the prime and inversion forms of
> > a subscale in the minimum amount of pitch registral space).
> >
> > The resulting 16EDO pitch classes used would be
> > 1,3,4,5,7,8,9,10,12,13,14,16.
>
> So here's a Scala file for that
>
> !
> Bill Flavell's nested Morse-Thue 16-tET subscale.
> 12
> !
> 75.0 !......1
> 225.0 !.....3
> 300.0 !.....4
> 375.0 !.....5
> 525.0 !.....7
> 600.0 !.....8
> 675.0 !.....9
> 750.0 !....10
> 900.0 !....12
> 975.0 !....13
> 1050.0 !...14
> 1200.0 !...16
> !
>
> -Carl
>