Orwell = Miracle + Meantone

The heading is slightly deceptive, because it refers to adding wedge
invariants, which are only determined up to sign, but it gives the
idea.

The wedge invariant represents each 7-limit linear temperament by a
pair of 6-dimensional lattice points, of opposite sign. Hence, we can
add and subtract wedge invariants, or in general take linear
combinations, and produce new linear temperaments. I tried this with
Miracle and Meantone with the above result.

In particular, Meantone = [1,4,10,12,-13,4] and Miracle =
[6,-7,-2,14,20,-25]. The sum gives us [7,-3,8,27,7,-21] and the
difference [-5,11,12,-3,-33,29]. The sum is Orwell, but the
difference was not on my list; by finding a reduced set of commas
from the wedge invariant, I get that it is <225/224,50421/50000>,
where the second comma has a Tenney height too high to make the cut.
It seems like a pretty good system anyway; it is basically the
29+2 system (also 31+29) with a generator close to 7/5.