A family of grammars for Voynichese

[Jorge_Stolfi]

I think I can narrow the core-mantle-crust a bit more.  Recall that the model is 

  Q^q D^d X^x G^g H^h X^y D^e N^n

where q,g,h,n are 0 or 1,  d+e is at most 3, x+y is at most 3, and g+h is at most 1. (The last condition says simply that there may be at most one gallows, simple or platform.)  The range of d+e seems to be indeed 0..3:


COUNTING CMC PATTERNS BY NUMBER OF  D

  31300.250000 1.00000 TOTAL

   9705.125000 0.31007 0
  16944.000000 0.54134 1
   4153.562500 0.13270 2
    497.562500 0.01590 3

However, the range of q+d+e+n also seems to be 0..3.  That is, the rule should be q+d+e+n <= 3, not just d+e <= 3:

COUNTING CMC PATTERNS BY NUMBER OF  QDN

  31300.250000 1.00000 TOTAL

   4937.125000 0.15773 0
  15160.625000 0.48436 1
  10097.625000 0.32261 2
   1071.812500 0.03424 3
     33.062500 0.00106 4

And, moreover, the condition on the number of benches should be x+h+y <= 2, not just x+y <= 3.  That is, there could be at most two benches, counting a platform gallows as one bench:

COUNTING CMC PATTERNS BY NUMBER OF  XH

  31300.250000 1.00000 TOTAL

  15443.250000 0.49339 0
  13730.125000 0.43866 1
   2080.875000 0.06648 2
     46.000000 0.00147 3

I am adding these revised rules to the model.

All the best, --stolfi