--- 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'?