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

> Joseph!
> if you are interested in something in more than just chords and would
like some melodically based 7-limit scales may i > suggest
http://www.anaphoria.com/centaur.html
<http://www.anaphoria.com/centaur.html> .

Kraig and I may have some disagreement over what constitutes a melodically
based 7-limit scale but I encourage Kraig to expound upon his view. The only
"melodic" property that I recall Kraig ascribing to his centaur tuning is
the constant structures property, which all the scales I posted also have,
by virtue of the requirement that they be rough approximations to 12-tET.

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Kraig, My apologies -- I see that you mention tetrachords on your centaur
page -- please explain more. Note that the symmetrical 12-out-of-22 tuning I
mention contains not only two symmetrical decatonic scales but also two
pentachordal decatonic scales -- which have the property that all 10 octave
species contain two identical pentachords, separated by the approximate 4/3.

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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:
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All phone, fax and email remain the same.

>Paul!
>OUCH! YOU GOT TO BE KIDDING!

about what?

>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!

_________________________________________________

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.