Another BP linear temperament? (was: Magic lattices)

--- In tuning-math@y..., "D.Stearns" <STEARNS@C...> wrote:
> Hi Graham,
>
> <<I've also updated the Bohlen-Pierce entry.>>
>
> The BP linear temperament was so obvious that I could hardly call it
> much of a contribution... it's an observation at best!
>
> Personally I'm much more satisfied with the 2D and especially the
1/6
> comma generalized meantone contributions, as I think they're more
than
> simple observations of the obvious.
>
> The 1/6 comma generalization would be accomplished by using 1/6 of
the
> 118098/117649 2D comma to make the 177147/117649 in a chain of 9/7s
> pure:
>
> 1468 434
> 1034 868
> 600 1302
> 166 1736
> 1634 268
> 1200 702
> 766 1136
> 332 1570
> 1800 102
> 1366 536
> 932 970
> 498 1404
>
> Here's the generalized or remapped 1/6 comma Bohlen-Pierce meantone
> rotations:
>
> 0 268 434 600 868 1034 1302 1468 1736 1902
> 0 166 332 600 766 1034 1200 1468 1634 1902
> 0 166 434 600 868 1034 1302 1468 1736 1902
> 0 268 434 702 868 1136 1302 1570 1736 1902
> 0 166 434 600 868 1034 1302 1468 1634 1902
> 0 268 434 702 868 1136 1302 1468 1736 1902
> 0 166 434 600 868 1034 1200 1468 1634 1902
> 0 268 434 702 868 1034 1302 1468 1736 1902
> 0 166 434 600 766 1034 1200 1468 1634 1902
>
> Note the pure 1:2s, 2:3s and the perfect 1:2^(1/2)s.
>
> (Come to think of it, even the n*n figurate number lattice based on
> the 3:5:7 seems like more of a contribution to me...)

Dan,

Can you give us the mapping from primes to numbers of generators for
this temperament?

Also the mapping between primes (or whatever) that takes us from
meantone to this temperament?

-- Dave Keenan