two extreme 2D diatonics

You can calculate third and fifth size relative to the size of the
vertical axis in a 2D lattice.

Say the numerator of the minor chroma is n, then the major third could
be seen as

sqrt(n)
----------
sqrt(n)-1

and the minor third as

sqrt(n)+1
---------
sqrt(n)

Cross-multiplying these gives the fifth.

If the minor chroma or vertical axis were a 26/25 instead of a 25/24
you'd have:

0 176 378 512 688 890 1066 1200
0 202 336 512 714 890 1024 1200
0 134 310 512 688 822 998 1200
0 176 378 554 688 864 1066 1200
0 202 378 512 688 890 1024 1200
0 176 310 486 688 822 998 1200
0 134 310 512 646 822 1024 1200

If it were a 24/23 instead of a 25/24 you'd have:

0 234 395 483 717 878 1112 1200
0 162 249 483 645 878 966 1200
0 88 322 483 717 805 1038 1200
0 234 395 629 717 951 1112 1200
0 162 395 483 717 878 966 1200
0 234 322 555 717 805 1038 1200
0 88 322 483 571 805 966 1200

--Dan Stearns