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tuning-math

Group Information

  • Members: 191
  • Category: Mathematics
  • Founded: May 21, 2001
  • Language: English
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Fwd: True nature of the blackjack scale (in 7-limit) . . . and mor   Message List  
Reply Message #137 of 20696 |
Re: Fwd: True nature of the blackjack scale (in 7-limit) . . . and more epimores

--- In tuning-math@y..., jpehrson@r... wrote:
> --- In tuning-math@y..., "Paul Erlich" <paul@s...> wrote:
>
> http://groups.yahoo.com/group/tuning-math/message/133
>
> Thanks for posting and cross-posting this message, Paul. I never
> even understood that blackjack is an infinite 7-limit lattice as
> compared with our traditional diatonic being an infinite 5-limit
> lattice... Somehow I never "got" that before from the previous
> dialogues... No wonder there are so many "just tetrads" in it!
>
Hey Joseph . . . look at blackjack3.bmp in the new bjlatt.ZIP . . .
then look at Figure 8 in my paper _The Forms of Tonality_ . . . same
idea, different scale (and different lattice orientation) . . .

You can think of them as infinite, as we are here, or you can think
of them simply as 'wrapping around' to meet themselves. Remember
the 'donut'?




Tue Jun 5, 2001 9:14 pm

paul@...
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Message #137 of 20696 |
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... Dave Keenan wrote (privately), ... The blackjack scale is the result of forming a periodicity block with the unison vectors 2401:2400, 225:224, and 36:35;...
Paul Erlich
paul@... Send Email
Jun 5, 2001
7:14 pm

... http://groups.yahoo.com/group/tuning-math/message/133 Thanks for posting and cross-posting this message, Paul. I never even understood that blackjack is...
jpehrson@... Send Email Jun 5, 2001
8:13 pm

... Hey Joseph . . . look at blackjack3.bmp in the new bjlatt.ZIP . . . then look at Figure 8 in my paper _The Forms of Tonality_ . . . same idea, different...
Paul Erlich
paul@... Send Email
Jun 5, 2001
9:14 pm

... http://groups.yahoo.com/group/tuning-math/message/137 ... same ... Yes, indeed! It became patently obvious once I was SHOWN it! :) Regarding the list, I...
jpehrson@... Send Email Jun 5, 2001
9:43 pm
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