Re: Improved blackjack lattice in 72-tET notation (save this one, Joseph!)

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

/tuning/topicId_22400.html#22400

> 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

That's a workable alteration.

When I've had this problem in the past, my preference was
to retain the minus signs as accidentals, and use periods
instead of hyphens in the lattice.

For others who also prefer to retain the + and - accidentals,
here's my adaptation of Paul's lattice:

Blackjack scale: 21-out-of-31-out-of-72-EDO

11-limit JI approximations

(note names given in Monzo ASCII 72-EDO notation)

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

-monz
http://www.monz.org
"All roads lead to n^0"

--- In tuning@y..., "Joe Monzo" <joemonz@y...> wrote:

/tuning/topicId_22410.html#22410

> For others who also prefer to retain the + and - accidentals,
> here's my adaptation of Paul's lattice:

Drats! Sorry folks, I specified a non-proportional font
when I sent that and it turned into a proportional font anyway.
So the lattice looks a mess.

Oh well... Paul already said that the first lattice was
incomplete anyway...

Paul, how do you get these big lattices to post correctly?
If I use the web browser, it won't fit because line length
is not long enough, and if I use Outlook Express to send the
email, it seems to ignore my formatting preferences. Help.

-monz
http://www.monz.org
"All roads lead to n^0"

-monz
http://www.monz.org
"All roads lead to n^0"

--- In tuning@y..., "monz" <joemonz@y...> wrote:
>
> --- In tuning@y..., "Joe Monzo" <joemonz@y...> wrote:
>
> /tuning/topicId_22410.html#22410
>
> > For others who also prefer to retain the + and - accidentals,
> > here's my adaptation of Paul's lattice:
>
>
> Drats! Sorry folks, I specified a non-proportional font
> when I sent that and it turned into a proportional font anyway.
> So the lattice looks a mess.

Oops! I guess I was being redundant in posting to tell you that . . .
>
> Paul, how do you get these big lattices to post correctly?
> If I use the web browser, it won't fit because line length
> is not long enough, and if I use Outlook Express to send the
> email, it seems to ignore my formatting preferences. Help.
>
I used Outlook, not Outlook Express.