Re: [tuning] 12-tone tunings for 7-limit harmony (for Joseph Pehr son et al)

Paul !
yes if one takes the generalized lattice and you have one cube on top of another as what
would be the following (if you ran the 5/4 vertical and the 3/2 horizontal). From here you
just have to rotate your factors in each of the possible permutations to generate all sort of
variations with like properties . the ones with the 3/2 running vertically seem to be the most
interesting. I apologize for missing seeing these as constant structures!
Mills Tuning Digest 1598 (12/1/98):

42:25------21:20-------21:16
\'-. .-'/ \'-. .-'/ \'-.
\ 6:5--/---\--3:2--/---\-15:8
\ /|\ / \ /|\ / \ /|
\ | / \ | / \ |
/ \|/ \ / \|/ \ / \|
/ 7:5---------7:4--------35:32
/.-' '-.\ /.-' '-.\ /.-'
8:5---------1:1---------5:4

"Paul H. Erlich" wrote:

> >How about 1/1 21/20 9/8 7/6 5/4 21/16 7/5 45/32 7/5 3/2 7/4 15/8 28/15
> >This one also has 4 tetrads
>
> As I said in my post, there are many ways of doing it!
>
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-- Kraig Grady
North American Embassy of Anaphoria island
www.anaphoria.com

Kraig Grady wrote,

>yes if one takes the generalized lattice and you have one cube on top of
another as what would be the following (if you ran the >5/4 vertical and the
3/2 horizontal).

Sorry - I lost you. Would you taking a step back and rephrasing this?

>From here you just have to rotate your factors in each of the possible
permutations to generate all sort of variations with like >properties .

Except that rotating factors wreaks havoc on the melodic properties such as
Constant Structures and tetrachordality (I'm still waiting to hear your take
on the latter regarding the remarks on your Centaur page).

_________________________________________________

We are Moving!

As of June 26, 2000, Acadian Asset Management will be at a
new location in Boston's financial district.

Please contact us at:
Acadian Asset Management
Ten Post Office Square, 8th Floor
Boston, MA 02109.

All phone, fax and email remain the same.

Paul!
Was reading the original lines wrong so the two cubes does not apply.

"Paul H. Erlich" wrote:

>
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-- Kraig Grady
North American Embassy of Anaphoria island
www.anaphoria.com