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Improved blackjack lattice in 72-tET notation (save this one, Jos eph!)

🔗Paul H. Erlich <PERLICH@ACADIAN-ASSET.COM>

5/10/2001 9:44:50 AM

Since I have so many "-"s in the lattice, I'm modifying Monz's notation as
follows:

72-tET notation will be 12-tET notation with the following new accidentals:

v = 1/4 tone flat
< = 1/6 tone flat
{ = 1/12 tone flat
} = 1/12 tone sharp
> = 1/6 tone sharp
^ = 1/4 tone sharp

So the blackjack scale is

note degree Semitones
C< 70 11&2/3
B{ 65 10&5/6
Bv 63 10&1/2
Bb< 58 9&2/3
A> 56 9&1/3
Av 51 8&1/2
Ab} 49 8&1/6
G> 44 7&1/3
G 42 7
Gb} 37 6&1/6
F#{ 35 5&5/6
F 30 5
F< 28 4&2/3
E{ 23 3&5/6
Ev 21 3&1/2
Eb< 16 2&2/3
D> 14 2&1/3
Dv 9 1&1/2
Db} 7 1&1/6
C> 2 0&1/3
C 0 0

Here's the lattice (which extends infinitely up, down, right, and left):

F---------C--/---\--G / |/\ /\|/,'/ \`.\ /,'/|\/ \/| / E{------
'/ \`. ,'/|\/ \/| / F---------C--/---\--G / |/\ /\|/,'/ \`.\ /
/---\-Ab} / |/\ /\|/,'/ \`.\ /,'/|\/ \/| / F---------C--/---\--G
\/| / Gb}-------Db}-/---\-Ab} / |/\ /\|/,'/ \`.\ /,'/|\/ \/|
/\|/ /|\`.\ /,'/|\/ \/| / Gb}-------Db}-/---\-Ab} / |/\ /\|/
------D>--/-|-\-A> / |/\ /\|/,'/|\`.\ /,'/|\/ \/| / Gb}-\---/-Db}
\ /,'/|\/ C>--------G>--------D>--/-|-\-A> / |/\ /\|/,'/|\`.\ /,'/|\
-Bv / |/,'/ \`.\|/,'/|\`.\ /,'/|\/ C>--------G>--------D>--/-|-\-A> / |/
| / Av--/---\-Ev--/-|-\-Bv / |/,'/ \`.\|/,'/|\`.\ /,'/|\/ C>--------G>-
|/,'/|\/ \ ,\/| / Dv-------Av--/---\-Ev--/-|---Bv / |/,'/ \`.\|/,'/|
F<--/-|/\-C< /\|/,'/ \ \|/,'/|\/.\ /,\/| / Dv--------Av--------Ev--/-|-
\/| / Eb<-------Bb<-/---\-F<--/-|/\-C< /\|/,'/ \`.\|/,'/|\/.\ /,'/| / Dv
/\|/,'/ \`.\|/,'/|\/ \/| / Eb<-------Bb<-------F<--/-|/\-C< /\|/,'/ \
-B{--/---\-F#{ / |/\ /\|/,'/ \`.\|/,'/|\/ \/| / Eb<-------Bb<-/---
'/|\/ \/| / E{--------B{------\-F#{ / |/\ /\|/,'/ \`.\|/,'/|\/
/ |/\ /\|/,'/ \`.\ /,'/|\/ \/| / E{--------B{--/---\-F#{ / |/\
F---------C--/---\--G / |/\ /\|/,'/ \`.\ /,'/|\/ \/| / E{------
'/ \`. ,'/|\/ \/| / F---------C--/---\--G / |/\ /\|/,'/ \`.\ /
/---\-Ab} / |/\ /\|/,'/ \`.\ /,'/|\/ \/| / F---------C--/---\--G
\/| / Gb}-------Db}-/---\-Ab} / |/\ /\|/,'/ \`.\ /,'/|\/ \/|
/\|/ /|\`.\ /,'/|\/ \/| / Gb}-------Db}-/---\-Ab} / |/\ /\|/
------D>--/-|-\-A> / |/\ /\|/,'/|\`.\ /,'/|\/ \/| / Gb}-\---/-Db}
\ /,'/|\/ C>--------G>--------D>--/-|-\-A> / |/\ /\|/,'/|\`.\ /,'/|\
-Bv / |/,'/ \`.\|/,'/|\`.\ /,'/|\/ C>--------G>--------D>--/-|-\-A> / |/
| / Av--/---\-Ev--/-|-\-Bv / |/,'/ \`.\|/,'/|\`.\ /,'/|\/ C>--------G>-
|/,'/|\/ \ ,\/| / Dv-------Av--/---\-Ev--/-|---Bv / |/,'/ \`.\|/,'/|
F<--/-|/\-C< /\|/,'/ \ \|/,'/|\/.\ /,\/| / Dv--------Av--------Ev--/-|-
\/| / Eb<-------Bb<-/---\-F<--/-|/\-C< /\|/,'/ \`.\|/,'/|\/.\ /,'/| / Dv
/\|/,'/ \`.\|/,'/|\/ \/| / Eb<-------Bb<-------F<--/-|/\-C< /\|/,'/ \
-B{--/---\-F#{ / |/\ /\|/,'/ \`.\|/,'/|\/ \/| / Eb<-------Bb<-/---
'/|\/ \/| / E{--------B{------\-F#{ / |/\ /\|/,'/ \`.\|/,'/|\/
/ |/\ /\|/,'/ \`.\ /,'/|\/ \/| / E{--------B{--/---\-F#{ / |/\
F---------C--/---\--G / |/\ /\|/,'/ \`.\ /,'/|\/ \/| / E{------
'/ \`. ,'/|\/ \/| / F---------C--/---\--G / |/\ /\|/,'/ \`.\ /
/---\-Ab} / |/\ /\|/,'/ \`.\ /,'/|\/ \/| / F---------C--/---\--G
\/| / Gb}-------Db}-/---\-Ab} / |/\ /\|/,'/ \`.\ /,'/|\/ \/|
/\|/ /|\`.\ /,'/|\/ \/| / Gb}-------Db}-/---\-Ab} / |/\ /\|/
------D>--/-|-\-A> / |/\ /\|/,'/|\`.\ /,'/|\/ \/| / Gb}-\---/-Db}
\ /,'/|\/ C>--------G>--------D>--/-|-\-A> / |/\ /\|/,'/|\`.\ /,'/|\
-Bv / |/,'/ \`.\|/,'/|\`.\ /,'/|\/ C>--------G>--------D>--/-|-\-A> / |/
| / Av--/---\-Ev--/-|-\-Bv / |/,'/ \`.\|/,'/|\`.\ /,'/|\/ C>--------G>-
|/,'/|\/ \ ,\/| / Dv-------Av--/---\-Ev--/-|---Bv / |/,'/ \`.\|/,'/|
F<--/-|/\-C< /\|/,'/ \ \|/,'/|\/.\ /,\/| / Dv--------Av--------Ev--/-|-
\/| / Eb<-------Bb<-/---\-F<--/-|/\-C< /\|/,'/ \`.\|/,'/|\/.\ /,'/| / Dv
/\|/,'/ \`.\|/,'/|\/ \/| / Eb<-------Bb<-------F<--/-|/\-C< /\|/,'/ \
-B{--/---\-F#{ / |/\ /\|/,'/ \`.\|/,'/|\/ \/| / Eb<-------Bb<-/---
'/|\/ \/| / E{--------B{------\-F#{ / |/\ /\|/,'/ \`.\|/,'/|\/
/ |/\ /\|/,'/ \`.\ /,'/|\/ \/| / E{--------B{--/---\-F#{ / |/\
F---------C--/---\--G / |/\ /\|/,'/ \`.\ /,'/|\/ \/| / E{------
'/ \`. ,'/|\/ \/| / F---------C--/---\--G / |/\ /\|/,'/ \`.\ /
/---\-Ab} / |/\ /\|/,'/ \`.\ /,'/|\/ \/| / F---------C--/---\--G

🔗jpehrson@rcn.com

5/10/2001 10:16:18 AM

--- In tuning@y..., "Paul H. Erlich" <PERLICH@A...> wrote:

/tuning/topicId_22400.html#22400

> Since I have so many "-"s in the lattice

What?? This lattice can't be.... Am I seeing things??

This is the hexany lattice to end all hexany lattices!

Miraculous! [saved, immediately, of course]

__________ _____ ____
Joseph Pehrson