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George Duke wrote on Tue, Dec 30, 2014 09:12 PM UTC:
From different perspective there is the Sovereign Values study, http://www.chessvariants.org/index/listcomments.php?subjectid=SOVEREIGN_P_Ts, determining more general mating material needed instead of value directly itself. From that we know that many well-thought-out piece-types do in fact have approximately the 3.0 value of Knight. 2.5 to 4.0 is more typical piece-value range than Falcon or Rook 5.0 +/- 0.1. For example, Peter Hatch has many devised pieces for his different armies on 100 squares near Knight equivalence. (Druids: http://www.chessvariants.org/large.dir/druid.html) 

On conventional 8x8, Scorpion would fall from Falcon 5.0 to about 4.5, and Dragon still more to 4.0. They move progressively a required 3, 4 and 5 steps.  Based on those values, and calling it the Multi-path Army,

F-S-D-R-K-D-S-F is an appropriately 31-point Chess Different Army.

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