Seeking 12-Tone/16EDO Tuning Collaborator/s...

...I've got the concept for a 12-tone blues subscale
of the 16EDO tuning that would be based on the
Morse-Thue ordering of 1 and 3 scale steps of
the 16EDO tuning like this: 1-3-3-1-3-1-1-3

The advantages of this particular tuning are:

1. It can be "mapped" onto the keys of a conventional 12TET
synthesizer keyboard, since the number of pitch classes per octave
are the same.

2. In terms of the intervals of the tuning, you would get both the
familiar 12TET tritone (6 12TET semitones) and the 12TET minor third
(3 12TET semitones), which should make this tuning extremely "blues-
y".

I'm homeless, unemployed, and living on the street,
so I don't have access to any alternative tuning
hardware or software, so I need to collaborate
with somebody who is more on the hardware end
of the spectrum, since I'm completely locked into
meta-conceptual "hell" right now. :) LOL ROTFWL

My primary e-mail address is bill.flavell@gmail.com

Thanks for your time and attention.

Bill Flavell

> ...I've got the concept for a 12-tone blues subscale
> of the 16EDO tuning that would be based on the
> Morse-Thue ordering of 1 and 3 scale steps of
> the 16EDO tuning like this: 1-3-3-1-3-1-1-3

Hi Bill,

How does this map to the conventional keyboard?

C =
C# =
D =
Eb =
E =
F =
F# =
G =
Ab =
A =
Bb =
B =

-Carl

On 3/1/06, Carl Lumma <clumma@yahoo.com> wrote:
> > ...I've got the concept for a 12-tone blues subscale
> > of the 16EDO tuning that would be based on the
> > Morse-Thue ordering of 1 and 3 scale steps of
> > the 16EDO tuning like this: 1-3-3-1-3-1-1-3
>
> Hi Bill,
>
> How does this map to the conventional keyboard?
[...]

If I interpret him correctly, he's talking about mapping the 12 keys
to these notes of 16-edo: 0,1,3,4,5,7,8,9,11,12,13,15,16... and using
a scale that doesn't repeat at the octave. The Thue-Morse sequence
continues: 1,3,3,1,3,1,1,3,3,1,1,3,1,3,3,1,3,1,1,3...

Keenan

Hi all,

On Wed, 01 Mar 2006, Bill Flavell wrote:
>
> ...I've got the concept for a 12-tone blues subscale
> of the 16EDO tuning that would be based on the
> Morse-Thue ordering of 1 and 3 scale steps of
> the 16EDO tuning like this: 1-3-3-1-3-1-1-3
>
> The advantages of this particular tuning are:
>
> 1. It can be "mapped" onto the keys of a conventional 12TET
> synthesizer keyboard, since the number of pitch classes per octave
> are the same.
>
> 2. In terms of the intervals of the tuning, you would get both the
> familiar 12TET tritone (6 12TET semitones) and the 12TET minor third
> (3 12TET semitones), which should make this tuning extremely "blues-
> y".
>
> I'm homeless, unemployed, and living on the street,
> so I don't have access to any alternative tuning
> hardware or software, so I need to collaborate
> with somebody who is more on the hardware end
> of the spectrum, since I'm completely locked into
> meta-conceptual "hell" right now. :) LOL ROTFWL

and Carl Lumma replied:
> How does this map to the conventional keyboard?
>
> C =
> C# =
> D =
> Eb =
> E =
> F =
> F# =
> G =
> Ab =
> A =
> Bb =
> B =

Carl,
Since one step of 16 is 3/4 of a semitone, it's exactly
75 cents. That makes Bill's 12 of 16 blues scale:
C ......... 0 c
Db\ .. 75 c
Eb ...... 300 c
F'........ 525 c
F# .... 600 c
G#'... 825 c
A ........ 900 c
Bb\ ... 975 c
c ......... 1200 c

- where I've used \ to denote flat by 25c and
' to denote sharp by 25 c.

Assuming you can adjust your notes by + or - 25 c,
the white notes D, E, G and B are not played in the
"key of C Bil-lues" (12 of 16 blues).

Bill,
On my venerable Roland keyboard, I can alter
the tuning of each note by -64 c to + 63 c. So the
retuning for your blues scale is quite easy to do.

What kind of collaboration did you have in mind?
Bear in mind that I live in Australia! ;-)

Regards,
Yahya

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--- In tuning@yahoogroups.com, "Carl Lumma" <clumma@...> wrote:
>
> Hi Bill,
>
> How does this map to the conventional keyboard?
>
> C =
> C# =
> D =
> Eb =
> E =
> F =
> F# =
> G =
> Ab =
> A =
> Bb =
> B =
>
> -Carl

Thanks foir the response/question, Carl! :)

I'll have to re-diagram that. I also posted the
cents values to this list a while back, but I don't
think I'll be able to find it.

The 16EDO scale steps are 3/4 of a 12EDO scale
step, so a 16EDO scale step should be 75 cents,
right?

The scale steps for the tuning are 1-3-3-1-3-1-1-3,
so you would just plug in the values there.

But, I'll do it and post it as soon as I can.

Bill Flavell

--- In tuning@yahoogroups.com, "Keenan Pepper" <keenanpepper@...> wrote:
>
> If I interpret him correctly, he's talking about mapping the 12 keys
> to these notes of 16-edo: 0,1,3,4,5,7,8,9,11,12,13,15,16...

No, that would be 0,1,4,7,8,11,12,13,16, Keenan.
Thanks for the response.

> and using
> a scale that doesn't repeat at the octave. The Thue-Morse sequence
> continues: 1,3,3,1,3,1,1,3,3,1,1,3,1,3,3,1,3,1,1,3...

No, I'm only proposing to use the Morse-Thue sequence
to the first 8 places (1-3-3-1-3-1-1-3), which in 16EDO
scale steps would encompass one octave.

Bill Flavell

--- In tuning@yahoogroups.com, "Yahya Abdal-Aziz" <yahya@...> wrote:
>
> Carl,
> Since one step of 16 is 3/4 of a semitone, it's exactly
> 75 cents. That makes Bill's 12 of 16 blues scale:
> C ......... 0 c
> Db\ .. 75 c
> Eb ...... 300 c
> F'........ 525 c
> F# .... 600 c
> G#'... 825 c
> A ........ 900 c
> Bb\ ... 975 c
> c ......... 1200 c
>
> - where I've used \ to denote flat by 25c and
> ' to denote sharp by 25 c.
>
> Assuming you can adjust your notes by + or - 25 c,
> the white notes D, E, G and B are not played in the
> "key of C Bil-lues" (12 of 16 blues).
>
>
> Bill,
> On my venerable Roland keyboard, I can alter
> the tuning of each note by -64 c to + 63 c. So the
> retuning for your blues scale is quite easy to do.
>
> What kind of collaboration did you have in mind?
> Bear in mind that I live in Australia! ;-)

Any kind you can think of, Yahya! :)

But I think I messed up in my calculations,
because an 8-place Morse-Thue sequence
would only result in a 9-tone scale, NOT
a 12-tone one.

I'll have to get back to the drawing moard
on that and repost later! :)

Thanks very much for the response! :)

Bill Flavell

On 3/2/06, Bill Flavell <bill_flavell@email.com> wrote:
[...]
> No, I'm only proposing to use the Morse-Thue sequence
> to the first 8 places (1-3-3-1-3-1-1-3), which in 16EDO
> scale steps would encompass one octave.
[...]

Oh. I just assumed you meant the real Thue-Morse sequence, which never repeats.

Anyway, I can't seem to get into the groove of this scale at all.
Whenever I play in 16-edo, I am inexorably drawn to the "mavila"
temperament (tempers out 135/128, octave period, generator is a
fourth). Maybe it's because I'm familiar with the pelog scale of
Balinese gamelan (which is uncannily similar to mavila), or maybe it's
simply because 16-edo doesn't represent any other linear temperaments
very well.

The 7-note MOS of mavila as steps of 16-edo is:

0 2 5 7 9 12 14

Keenan

--- In tuning@yahoogroups.com, "Keenan Pepper" <keenanpepper@...>
wrote:
>
> On 3/2/06, Bill Flavell <bill_flavell@...> wrote:
> [...]
> > No, I'm only proposing to use the Morse-Thue sequence
> > to the first 8 places (1-3-3-1-3-1-1-3), which in 16EDO
> > scale steps would encompass one octave.
> [...]
>
> Oh. I just assumed you meant the real Thue-Morse sequence, which
>never repeats.

Well, mapping the Morse-Thue sequence to multiple octaves
continuously is too complicated for me! :)

> Anyway, I can't seem to get into the groove of this scale at all.
> Whenever I play in 16-edo, I am inexorably drawn to the "mavila"
> temperament (tempers out 135/128, octave period, generator is a
> fourth). Maybe it's because I'm familiar with the pelog scale of
> Balinese gamelan (which is uncannily similar to mavila), or maybe
it's
> simply because 16-edo doesn't represent any other linear
temperaments
> very well.
>
> The 7-note MOS of mavila as steps of 16-edo is:
>
> 0 2 5 7 9 12 14

Thanks for the response! :) I'm not familiar with any of those
scales/tunings.

Bill Flavell