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Re:VRML - Octony and double tie circular mirroring

🔗Robert Walker <robert_walker@rcwalker.freeserve.co.uk>

11/22/2000 11:35:27 PM

Here is the 7-limit octony, with some of the chords:
SCALA scale efg357.scl
http://www.robertwalker.f9.co.uk/Octony/Octony.wrl
zip file
http://www.robertwalker.f9.co.uk/Octonly/Octony.zip
(broken chords, clavinet)
Robert

Also done
1 8/7 7/6 6/5 5/4 4/3 7/5 10/7 3/2 8/5 5/3 12/7 7/4 2/1 ckring1.scl | Double-tie circular mirroring with common pivot of
4:5:6:7 = square 1 3 5 7
as
http://www.robertwalker.f9.co.uk/double_tie_circular_mirroring/double_tie_circular_mirroring.wrl
and
http://www.robertwalker.f9.co.uk/double_tie_circular_mirroring/double_tie_circular_mirroring.zip
(broken chords, oboe)
In that one, utonal = red, otonal = dark blue.

Robert

🔗manuel.op.de.coul@eon-benelux.com

11/24/2000 3:15:38 AM

Robert wrote:
http://www.robertwalker.f9.co.uk/double_tie_circular_mirroring/double_tie_circular_mirroring.wrl

It looks nice, but it's not the best way to demonstrate this scale, in my
opinion.
The "feature" of this scale are its eight tetrads 4:5:6:7 and 1/(4:5:6:7),
and also
its circularity. I haven't thought what the best way is for a 3D model,
that's a
puzzle you're much better at. Your model has 6 squares, so maybe something
with 8
squares. Then when you click on a square, a tetrad would sound. Also, each
tetrad
has 2 tones in common with an adjacent one, which is why it's called
double-tied.
Maybe you need more dimensions, I don't know.

Manuel

🔗Robert Walker <robert_walker@rcwalker.freeserve.co.uk>

11/24/2000 9:57:01 AM

Manuel wrote:

>It looks nice, but it's not the best way to demonstrate this scale, in my opinion. The "feature" of this scale are its
eight tetrads 4:5:6:7 and 1/(4:5:6:7), and also its circularity. I haven't thought what the best way is for a 3D model,
that's a puzzle you're much better at. Your model has 6 squares, so maybe something with 8 squares. Then when you click
on a square, a tetrad would sound. Also, each tetrad has 2 tones in common with an adjacent one, which is why it's
called double-tied. Maybe you need more dimensions, I don't know.

Okay, thanks, solution is to add the 1 at the centre to make the 8 triads into 8 tetrads, each sharing an edge:

Now updated:

http://www.robertwalker.f9.co.uk/double_tie_circular_mirroring/double_tie_circular_mirroring.wrl
and
http://www.robertwalker.f9.co.uk/double_tie_circular_mirroring/double_tie_circular_mirroring.zip

What a remarkable scale!

N.B. midi clips are all ascending broken chords on orchestral harp. To remake them in this fashion, you need new command
#asb, which will be effective in next upload of FTS beta. (Prev. upload always plays notes in order in which they are
defined in the file name).

Robert