A family of grammars for Voynichese

[Jorge_Stolfi]

And here are the counts for crust-mantle-core (CMC) patterns with mantle ("X") but no core ("H").
Recall that a valid word in this class must have the CMC pattern

  Q^q D^d X^x+y D^e N^n

Where (currently) q and n are 0 or 1, d+e is in 0..3, and x+y is in 1..3.  The counts are:

COUNTING TOKENS WITH MANTLE BUT NO CORE BY CMC PATTERN

   3343.125000 0.42974 XD
   1185.250000 0.15236 X
    654.375000 0.08412 DXD
    415.000000 0.05335 XX
    357.375000 0.04594 XDD
    315.750000 0.04059 DX
    309.750000 0.03982 XXD
    307.500000 0.03953 XDN
    245.750000 0.03159 XN
     85.375000 0.01097 DXX
     77.625000 0.00998 DDXD
     56.500000 0.00726 QXD
     55.250000 0.00710 DXXD
     44.250000 0.00569 QX
     41.500000 0.00533 DXDD
     38.625000 0.00497 DDX
     31.500000 0.00405 DXN
     27.000000 0.00347 QDXD
     26.375000 0.00339 XDDD
     25.500000 0.00328 QDX
     24.500000 0.00315 DXDN
     19.750000 0.00254 XDDN
     19.000000 0.00244 XXDN
     13.875000 0.00178 XXDD
      6.250000 0.00080 XXN
      5.750000 0.00074 QXDN
      5.250000 0.00067 DDXX
      4.500000 0.00058 QDXX
      4.000000 0.00051 DDXXD
      4.000000 0.00051 DXXDD
      3.500000 0.00045 QDXXD
      3.250000 0.00042 QXX
      3.000000 0.00039 QXDD
      3.000000 0.00039 QXXD
      2.000000 0.00026 DXDDN
      2.000000 0.00026 XXDDN
      1.500000 0.00019 DXXDN
      1.500000 0.00019 XXX
      1.000000 0.00013 DDXN
      1.000000 0.00013 QDXDD
      1.000000 0.00013 QDXDN
      1.000000 0.00013 QDXN
      1.000000 0.00013 QXN
      1.000000 0.00013 XXDDD
      0.750000 0.00010 XXXD
      0.500000 0.00006 DDDX
      0.500000 0.00006 DXXN
      0.500000 0.00006 QXXXD
      0.500000 0.00006 XDDDN
      0.250000 0.00003 DXXXD
      0.250000 0.00003 QXXN
      0.125000 0.00002 DDXDN

The exponents d,e may be 0,0  1,0  0,1  2,0  1,1  0,2  3,0  2,1  1,2  0,3 so there are 2 x 10 x 4 x 2 = 160 possible CMC patterns with mantle but no core.  Yet only the 52 patterns above occur at all, and several occur only at noise level.

I have to think more abut these numbers.  Please stay tuned...

All the best, --stolfi