generalized meantone revisited

The 1D, pseudo Pythagorean diatonic in 22-tet could also be seen as 2D
temperament where the 64/63 disappears. This would be a PB with UVs of
54/49 and 64/63.

If you make this into a "generalized meantone" by subtracting 1/4 of
the 64/63 comma from the sqrt(16)/sqrt(7) fifth you not only get the
mean tone of 9/8 and 8/7, but you also create a temperament that is
all but indistinguishable from 22-tet:

0 218 435 653 709 926 1144 1200
0 218 435 491 709 926 982 1200
0 218 274 491 709 765 982 1200
0 56 274 491 547 765 982 1200
0 218 435 491 709 926 1144 1200
0 218 274 491 709 926 982 1200
0 56 274 491 709 765 982 1200

So, in much the same way that QCM is all but indistinguishable from
31-tet, QCM is also all but indistinguishable from 22-tet so long as
the comma is a 64/63 instead of an 81/80.

--Dan Stearns