Improved blackjack lattice

Here's the lattice in the new orientation, labeled with 72-tET degrees for
now . . . note that it extends infinitely in two dimensions . . .

30---------0--/---\-42 / |/\ /\|/,'/ \`.\ /,'/|\/ \/| / 23------
'/ \`. ,'/|\/ \/| / 30---------0--/---\-42 / |/\ /\|/,'/ \`.\ /
/---\-49 / |/\ /\|/,'/ \`.\ /,'/|\/ \/| / 30---------0--/---\-42
\/| / 37---------7--/---\-49 / |/\ /\|/,'/ \`.\ /,'/|\/ \/|
/\|/ /|\`.\ /,'/|\/ \/| / 37---------7--/---\-49 / |/\ /\|/
------14--/-|-\-56 / |/\ /\|/,'/|\`.\ /,'/|\/ \/| / 37--\---/--7-
\ /,'/|\/ 2--------44--------14--/-|-\-56 / |/\ /\|/,'/|\`.\ /,'/|\
-63 / |/,'/ \`.\|/,'/|\`.\ /,'/|\/ 2--------44--------14--/-|-\-56 / |/
| / 51--/---\-21--/-|-\-63 / |/,'/ \`.\|/,'/|\`.\ /,'/|\/ 2--------44-
|/,'/|\/ \ ,\/| / 9--------51--/---\-21--/-|---63 / |/,'/ \`.\|/,'/|
28--/-|/\-70 /\|/,'/ \ \|/,'/|\/.\ /,\/| / 9--------51--------21--/-|-
\/| / 16--------58--/---\-28--/-|/\-70 /\|/,'/ \`.\|/,'/|\/.\ /,'/| / 9
/\|/,'/ \`.\|/,'/|\/ \/| / 16--------58--------28--/-|/\-70 /\|/,'/ \
-65--/---\-35 / |/\ /\|/,'/ \`.\|/,'/|\/ \/| / 16--------58--/---
'/|\/ \/| / 23--------65------\-35 / |/\ /\|/,'/ \`.\|/,'/|\/
/ |/\ /\|/,'/ \`.\ /,'/|\/ \/| / 23--------65--/---\-35 / |/\
30---------0--/-----42 / |/\ /\|/,' `.\ /,'/|\/ \/| / 23------
'/ \`. ,'/|\/ \/| / 30---------0--/---\-42 / |/\ /\|/,'/ \`.\ /
/---\-49 / |/\ /\|/,'/ \`.\ /,'/|\/ \/| / 30---------0--/---\-42
\/| / 37---------7--/---\-49 / |/\ /\|/,'/ \`.\ /,'/|\/ \/|
/\|/ /|\`.\ /,'/|\/ \/| / 37---------7--/---\-49 / |/\ /\|/
------14--/-|-\-56 / |/\ /\|/,'/|\`.\ /,'/|\/ \/| / 37--\---/--7-
\ /,'/|\/ 2--------44--------14--/-|-\-56 / |/\ /\|/,'/|\`.\ /,'/|\
-63 / |/,'/ \`.\|/,'/|\`.\ /,'/|\/ 2--------44--------14--/-|-\-56 / |/
| / 51--/---\-21--/-|-\-63 / |/,'/ \`.\|/,'/|\`.\ /,'/|\/ 2--------44-
|/,'/|\/ \ ,\/| / 9--------51--/---\-21--/-|---63 / |/,'/ \`.\|/,'/|
28--/-|/\-70 /\|/,'/ \ \|/,'/|\/.\ /,\/| / 9--------51--------21--/-|-
\/| / 16--------58--/---\-28--/-|/\-70 /\|/,'/ \`.\|/,'/|\/.\ /,'/| / 9
/\|/,'/ \`.\|/,'/|\/ \/| / 16--------58--------28--/-|/\-70 /\|/,'/ \
-65--/---\-35 / |/\ /\|/,'/ \`.\|/,'/|\/ \/| / 16--------58--/---
'/|\/ \/| / 23--------65------\-35 / |/\ /\|/,'/ \`.\|/,'/|\/
/ |/\ /\|/,'/ \`.\ /,'/|\/ \/| / 23--------65--/---\-35 / |/\
30---------0--/-----42 / |/\ /\|/,' `.\ /,'/|\/ \/| / 23------
'/ \`. ,'/|\/ \/| / 30---------0--/---\-42 / |/\ /\|/,'/ \`.\ /
/---\-49 / |/\ /\|/,'/ \`.\ /,'/|\/ \/| / 30---------0--/---\-42
\/| / 37---------7--/---\-49 / |/\ /\|/,'/ \`.\ /,'/|\/ \/|
/\|/ /|\`.\ /,'/|\/ \/| / 37---------7--/---\-49 / |/\ /\|/
------14--/-|-\-56 / |/\ /\|/,'/|\`.\ /,'/|\/ \/| / 37--\---/--7-
\ /,'/|\/ 2--------44--------14--/-|-\-56 / |/\ /\|/,'/|\`.\ /,'/|\
-63 / |/,'/ \`.\|/,'/|\`.\ /,'/|\/ 2--------44--------14--/-|-\-56 / |/
| / 51--/---\-21--/-|-\-63 / |/,'/ \`.\|/,'/|\`.\ /,'/|\/ 2--------44-
|/,'/|\/ \ ,\/| / 9--------51--/---\-21--/-|---63 / |/,'/ \`.\|/,'/|
28--/-|/\-70 /\|/,'/ \ \|/,'/|\/.\ /,\/| / 9--------51--------21--/-|-
\/| / 16--------58--/---\-28--/-|/\-70 /\|/,'/ \`.\|/,'/|\/.\ /,'/| / 9
/\|/,'/ \`.\|/,'/|\/ \/| / 16--------58--------28--/-|/\-70 /\|/,'/ \
-65--/---\-35 / |/\ /\|/,'/ \`.\|/,'/|\/ \/| / 16--------58--/---
'/|\/ \/| / 23--------65------\-35 / |/\ /\|/,'/ \`.\|/,'/|\/
/ |/\ /\|/,'/ \`.\ /,'/|\/ \/| / 23--------65--/---\-35 / |/\
30---------0--/-----42 / |/\ /\|/,' `.\ /,'/|\/ \/| / 23------
'/ \`. ,'/|\/ \/| / 30---------0--/---\-42 / |/\ /\|/,'/ \`.\ /
/---\-49 / |/\ /\|/,'/ \`.\ /,'/|\/ \/| / 30---------0--/---\-42

Paul Erlich wrote:

> Here's the lattice in the new orientation, labeled with 72-tET degrees for
> now . . . note that it extends infinitely in two dimensions . . .

WOW!!! I nearly fell off my chair. You deserve some kind of award for Best Use of ASCII In a
Diagram. Looks like a masterpiece of engineering. Beautifully interconnected triangles, rectangles,
diamonds, Stars of David, a predominance of multiples of 3, 5, and 7 - nevermind it's musical
properties, the Kabbalists would have had a field day with this. I'm just going to have to rig up a
way to play this tuning, that's all there is to it.

--
David J. Finnamore
Nashville, TN, USA
http://personal.bna.bellsouth.net/bna/d/f/dfin/index.html
--

--- In tuning@y..., "David J. Finnamore" <daeron@b...> wrote:
> Paul Erlich wrote:
>
> > Here's the lattice in the new orientation, labeled with 72-tET
degrees for
> > now . . . note that it extends infinitely in two dimensions . . .
>
> WOW!!! I nearly fell off my chair. You deserve some kind of award
for Best Use of ASCII In a
> Diagram. Looks like a masterpiece of engineering. Beautifully
interconnected triangles, rectangles,
> diamonds, Stars of David, a predominance of multiples of 3, 5, and
7 - nevermind it's musical
> properties, the Kabbalists would have had a field day with this.

The version with the note names may make more musical sense -- I
posted that afterwards.

I'm just going to have to rig up a
> way to play this tuning, that's all there is to it.

My Ensoniq would be perfect, except that its tuning resolution (512
parts per octave) is too poor to really hear how close to JI 72-tET
really is.