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TABLE OF SOVEREIGN VALUES (IX) Take a really Meshuga compound of duals,
P/T        P/V Mate#   meaning any such bi-compound beyond Gnu and
WOLF-RIDER 5.0   1     and Man, the first two.  Add Knight to it,
WARRIOR    2.25  4     say the third dual-compound Zebu is chosen to
JAGUAR     2.25  4     get (Zebra + Zemel + Knight), who is Knighted
PANTHER    2.25  4     Zebu, a tri-compound more practical than awkward
COYOTE     2.25  4     Zebu bi-compound.  Because of the spacing of 
WOLF(ii)   2.25  4     three supposedly cooperating legs, it still 
LION       2.25  4     takes the three of the Knight to describe 
TIGER      2.25  4     SOVEREIGN Knighted Zebu(8.0, 3), tested by 
BEAR       5.5   1     mobility. Sovereign Boards are 64-144, and this
CHEETAH    2,25  4    tri-compound of (N+Z+Zemel) all-leaping really
practically needs 121-256, so will not be tabled formally.
How about plain vanilla Zebu?  Squared and squired on 100-256 is Sovereign Zebu(6.0, 4).  To justify the piece-values, Knighted Zebu on 100 centralized reaches 24 squares matched to Rook's 18 there; and Zebu leaps to 16. Yet Rook Mate# is 1 and the higher piece-value ones have Mate#s 3 and 4.  So piece values can be high, or higher, over 5.9, and accompanying Mate#s over 2.  
    Looking at examples upsets somewhat the first impression of some kind of reciprocal, or inverse, relationship P/V to Mate#. As piece value rises Mate Number often or usually falls as generality, but there is no simple relationship that always holds. Mate# is positive integer and piece value rational number.      
Another example from the only five at most significant compounds of duals follows.  Antelope has dual Namel, and the bi-compound Namu looks like Sovereign Namu(5.0, 4) suiting boards 100-256; the leapers involved are (3,4) and (1,7) for squares they reach.
Eventually after several hundred p/ts, M&Bxxs themselves beginning with the Ungulates chapter p/ts the afore are representative of, can be computed for sovereign tables. ''Lions and Tigers and Bears'' above are Fantasy Grand Druids as well as 'The Wizard of Oz'.*
Many, many questions are raised for follow-up how V piece value, M mate number, and Z board size interrelate, with opposing King inviolably eight-directional. For all we know, there may be a relationship to chemical valence numbers, where 1,2,3,4,5,6,7 are the values, 7 maximum the main groups, and 1 to 4 predominating -- exactly like these Mating Numbers.
*Caution: cozy(?) 'tWoO' author Baum's virulent racism towards genocide, http://en.wikipedia.org/wiki/L_Frank_Baum.
Http://www.wendyswizardofoz.com/script8.htm.

TABLE OF SOVEREIGN VALUES (X) Chemical valence numbers, indicating
P/T             P/V MATE#   reactivity by how many electrons in the
OVERTAKER       2.0  3      outer orbit, vary 1,2,3,4,5,6 to 7, and
DIAMOND WARRIOR 2.75 2   predominate at 1, 2, 3 and 4.  Carbon has
LION MAN        4.50 1   '4' valence, the basis of organic chemistry.
GRAND BISHOP    4.0  2   Likewise Mate Numbers in component squares
MAGE            5.5  1   forming rectangles over 7x7 have the same
CARDINAL(i)     4.5  1   double breakdown into 7 and 4.  Part of the
FORT            6.5  1   reason is the same eight possibilities 
FROG            4.25 1   towards completion, of either orbitals or
ROC(i)          8.0  1   diagonals/orthogonals, and that any occupied 
MOONRIDER       8.0  1   state has had already to choose one and only one.
That is, insofar as a stationary piece or atomic species' energy level has
''chosen.'' This paragraph at this point should be taken metaphorically
for viable exploratory channel. There is potential to reduce atomic orbital
theory from three- and higher-dimensionality to just the two- by
equivalence to empowered chessic movements confining resolution.  Each
numeric pair ought always to be unique in ToSVs for one exclusive type
being elucidated.  Ganymede and Altair featured have not preponderance
conventional p/ts. There is neither effort to get standard or popular name throughout ToSVs.  Whatever first naming occasions stays with the p/t defined by its two refinable values here, or across disciplines as well. So also tolerating such as Ganymede Cardinal(i), there being other Cardinals, but not Bishop-Knight compound who will appear staying as Carrera's Centaur.

TABLE OF SOVEREIGN VALUES (XI) (reformatted 25.11.13, all earlier still to redo)
P/T         P/V    Mate#
STAG        3.0    2
EAGLE       3.5    2
PEGASUS     6.0    1
UNICORN(ii) 7.0    1
PRIEST      2.5    4
OGRE        4.0    2
ASSASSIN    7.0    1
BALROG      9.0    1
SEERESS     4.5    1
CROOKED BSP 3.5    2
When is the board too small to mate?
  Some long-range leapers will be inhibited by 8x8
   to the point of banishment.  Since only one piece-
   type is featured at a time for worthwhile cal-
   culation of p/v and mate number, one's King sort
   of alone has to keep the other King from staying    at the centre.  Basically, that will not work if
    the leaper itself cannot reach d4, d5, e4, e5 on 
   8x8.  Take Gilman-named Rector who leaps distance   of '4,5', an obvious p/t unexpected to use much
   except maybe compounded. Just as with Flamingo the
  1,6 leaper and several others, there are central
squares unreachable -- in case of Rector conveniently exactly those four.
It is methodologically unfair to assume Black King does not start there,
and White King cannot keep such-positioned Black from going back and forth
some two available ''orthogonally'' adjacent squares. Control of tempo
does no good here because however many Rectors, Black stays out of reach.
So Rector the 4,5 leaper cannot be Sovereign Piece-type without any
reliable mate on 64 squares.  In the Sovereign System, the boards are important inclusively 8x8 to 12x12, including 8x10 and all other rectangles in between.  If a p/t fails a Mating test that range, no Sovereignty. For follow-up, what are the 28 Sovereign Boards?  Or really 51 with the Pawns reversed?  
Also for eventual follow-up with another Table construction are cases of separate Sovereignty, where one or two additional units of a Sovereign piece-type may be necessary the larger boards, for which Paulowich links the 12x12 thread,  
Http://www.chessvariants.org/index/displaycomment.php?commentid=20099.