Mysterion, a detempered mystery

If we detemper mystery to a planar temperament with TM basis
{196/195, 352/351, 364/363} we get a mapping

[<1 0 0 10 17 22|, <1 0 1 -6 -10 -13|, <0 0 1 1 1 1 1|]

This has generators 2, 3, and 5, and works well with a system such as
Tonescape, which most expeditiously arranges tunings according to a
planar temperament. Tuned to a mystery tuning such as 337 edo, it
supplies one way to arrange mystery.

The 11-limit version of mysterion has a TM basis {441/440,896/891},
and the 7-limit version is 5120/5103 planar.

Here is a tictactoe diagram for the 15-limit complete otonal chord in
the {3,5} plane picture of mysterion:

X O O X O O O X O O O O O X X O
O O O O O O O O O O O O O X X X

--- In tuning-math@yahoogroups.com, "Gene Ward Smith" <gwsmith@s...>
wrote:
> If we detemper mystery to a planar temperament with TM basis
> {196/195, 352/351, 364/363} we get a mapping
>
> [<1 0 0 10 17 22|, <1 0 1 -6 -10 -13|, <0 0 1 1 1 1 1|]

I should add that the difference between mystery and mysterion is that
mystery has the 29-comma, |46 -29>. The note-classes of mysterion
correspond to the 5-limit lattice, whereas mystery wraps around into a
giant cylinder, since the circle of fifths closes with 29 fifths.