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The reason why all the third-generation Quintessence moves have a length of 5 can be seen by comparing with a similar piece built up from the Wazir move rather than a Knight move. Such a piece might be called a Primessence. Successive-generation moves would have squares of leap length (SOLL) of 1 (Wazir), 2 (Ferz), 5 (Knight), 8 (Alfil), 13 (Zebra), 18... As the Quintessence starts with a Knight move, SOLL 5, all its moves get correspondingly mutiplied so that its moves have SOLL 5, 10 (Camel), 25 (5 squared), 40 (Caravan), 52 (Zerriage)... You could also have a Secondessence built up from the Ferz move, a Quartessence from the Dabbaba move, a Decimessence from the Camel move, and many others. In 3d Chess a Nonessence could be built up from 3:0:0 and from 2:2:1 moves (though not from a mixture), but there could not be a Sextessence as no 2:1:1 moves are at right angles.