RE: [tuning] lattice help?

Paul Fly wrote,

>hiya, i'm trying to define this lattice in terms of ratios instead of
>note names, but am a bit uncertain about how to do it... can anyone
>give me a clue? :) thanks, paul

> E
> /|\
> / | \
>D#-------,A#-------,E#
> \`. /,'/|\`.\ ,'/
> \ `C'-/-|-\-`G' /
> \/|\/.,Dx,\/|\/
> /\|/,'Bbb`.\|/\
> / ,F#-------`C# \
> /,' \`.\|/,'/ `.\
>Ab-----\-`Eb-/-----`Bb
> \ | /
> \|/
> A

We have to make an arbitrary choice of 1/1. Let's say that C is 1/1. Then
it's:

5/4
/|\
/ | \
7/6-------7/4------21/16
\`. /,'/|\`.\ ,'/
\ 1/1-/-|-\-3/2 /
\/|\/49/40\/|\/
/\|/,12/7`.\|/\
/ 7/5------21/20\
/,' \`.\|/,'/ `.\
8/5-----\-6/5-/-----9/5
\ | /
\|/
42/25

In the future, the only thing you really need to know to do this for
yourself is that a line of a given direction always represents the same
interval; typically, as exemplified by the following diagram:

5
/|\
/ | \
/ ,7. \
/,' `.\
1---------3

Hope this helps!

-Yet another Paul

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Paul!
Below is a picture of the mandala with different factors just replace the 11 by 1,7 by 3, the
5 stays, the 3 by 7
http://www.anaphoria.com/dal06.html

Paul Fly wrote:

> hiya, i'm trying to define this lattice in terms of ratios instead of
> note names, but am a bit uncertain about how to do it... can anyone
> give me a clue? :) thanks, paul
>
> E
> /|\
> / | \
> D#-------,A#-------,E#
> \`. /,'/|\`.\ ,'/
> \ `C'-/-|-\-`G' /
> \/|\/.,Dx,\/|\/
> /\|/,'Bbb`.\|/\
> / ,F#-------`C# \
> /,' \`.\|/,'/ `.\
> Ab-----\-`Eb-/-----`Bb
> \ | /
> \|/
> A
>
> --
> P a u l F l y
> http://www.neuron.net/~pfly
>
>

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