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

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

Bill Flavell

> 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
>
> Bill Flavell

I'd write it like this:

C#..........1
D...........3
D#..........4
E...........5
F...........7
F#..........8
G...........9
G#.........11
A..........12
A#.........13
B..........15
C..........16

Or better yet, in Scala format, like this:

!
Bill Flavell's dual-tier Morse-Thue blues 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
825.0 !....11
900.0 !....12
975.0 !....13
1125.0 !...15
1200.0 !...16
!

It's the same scale Keenan Pepper thought you meant, except
he thought you meant to keep going with Thue-Morse, rather
than repeat at the octave.

It's also the closest scale to 12-tET in 16-tET, and so I'm
sure it's been thought of before. But perhaps nobody noticed
it contains the Thue-Morse sequence. So that's a valuable
observation.

Where are you located?

-Carl

--- In tuning@yahoogroups.com, "Carl Lumma" <clumma@...> wrote:

>
> I'd write it like this:
>
> C#..........1
> D...........3
> D#..........4
> E...........5
> F...........7
> F#..........8
> G...........9
> G#.........11
> A..........12
> A#.........13
> B..........15
> C..........16
>
> Or better yet, in Scala format, like this:
>
> !
> Bill Flavell's dual-tier Morse-Thue blues 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
> 825.0 !....11
> 900.0 !....12
> 975.0 !....13
> 1125.0 !...15
> 1200.0 !...16
> !

Thanks very much for that input, Carl! :)

> It's the same scale Keenan Pepper thought you meant, except
> he thought you meant to keep going with Thue-Morse, rather
> than repeat at the octave.

OK.

> It's also the closest scale to 12-tET in 16-tET, and so I'm
> sure it's been thought of before. But perhaps nobody noticed
> it contains the Thue-Morse sequence. So that's a valuable
> observation.

Thanks. I thought of a better way to do it last night, and will post
info on that under a separate subject header.

> Where are you located?

I'm in La Mesa, CA, a northeastern suburb of San Diego.

Bill Flavell

> > Where are you located?
>
> I'm in La Mesa, CA, a northeastern suburb of San Diego.
>
> Bill Flavell

I've been. Dave Hill lived there once upon a time (does
he still?).

-Carl

--- In tuning@yahoogroups.com, "Carl Lumma" <clumma@...> wrote:
>
> > > Where are you located?
> >
> > I'm in La Mesa, CA, a northeastern suburb of San Diego.
> >
> > Bill Flavell
>
> I've been. Dave Hill lived there once upon a time

In fact, that's exactly where you and i first met in person, Carl.

> (does he still?).

No -- Dave has been living in Borrego Springs (out in the
desert, near San Diego) for a long time, since around 2001.
I've been planning to visit him ever since he moved out
there, but haven't made it yet.

-monz
http://tonalsoft.com
Tonescape microtonal music software