I undertook a proceedure to determine if "Genesis Minus", by which I mean Genesis less 11/10 and 20/11, is a block by my understanding of what a block is. That understanding is that a block is epimorphic and convex, where by "convex" I mean it is convexly closed: every lattice point contained in the convex hull of the octave equivalence classes of the scale are already in the scale. Equivalently, a block is epimorphic and has the property that there exists a norm such that no point can be added to the block without increasing its diameter. It seems Genesis Minus is a block by this definition (I hope Joe notices I said the word "definition".)

I downloaded and ran the "qhull" program, which gave me a set of inequalities defining the convex hull, which I converted into a vector space norm. By this norm, Genesis Minus is within a radius of one of the unison, whereas the nearest comma seems to be 385/384 at a distance of three. The Voroni cells of the lattice of 41-et commas using this distance measure give the appropriate tiling of the 4D space.

Here are the distances from unity of the tones of Genesis Minus according to this distance measure:

1 0

81/80 1.

33/32 1.

21/20 1.

16/15 1.

12/11 1.

10/9 1.

9/8 .5196155385

8/7 1.

7/6 1.

32/27 1.

6/5 1.

11/9 1.

5/4 1.

14/11 1.

9/7 1.

21/16 1.

4/3 .0392310770

27/20 1.

11/8 1.

7/5 1.

10/7 1.

16/11 1.

40/27 1.

3/2 .0392310770

32/21 1.

14/9 1.

11/7 1.

8/5 1.

18/11 1.

5/3 1.

27/16 1.

12/7 1.

7/4 1.

16/9 .5196155385

9/5 1.

11/6 1.

15/8 1.

40/21 1.

64/33 1.

160/81 1.

I'll run some more computations; computing this distance measure is a little slow.