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Hello Mathew, thanks for your input. The turn of the bishop is made always
there is an open path (without pieces of any kind) and can repeat in the
range of 4 squares. Say you have a piece on b1, the bishop could do this:

 b1-c2-b3-c4    that is, the bishop just made 2 turns while in an open
path.
Now, the only restriction is the bishop cant turn when he is leaping,
like
this:
A bishop in b1, a piece of any kind in c2, now, the bishop leaps from
b1-d3, and from there could turn to c4, take on c2 if its an enemy piece,
go further to e4 or turn to e2. Final movements would be b1-d3-e2, other
b1-d3-c4 or directly b1-e4.
Indeed its a powerful piece, his real power in 'action' being unknown
by
myself, for it would be needed a lot of games with critical eye to define
his power.
Also as the bishop can change of color it mades it still more
unpredictable, but I hope a useful piece. The restriction of 4 squares of
range give the piece a positional approach.

About the knight, is simply as having the option of moving the knight in
2
times; for example we could have a knight in b1 and he could have this
option of move:  b1-c3-b5, that is he just made 2 moves. Another option
could be from b1 to a3 or c3 or d2, as a standard knight. This option of
2
moves extend the range of the knight to really a world of options and the
deep of manouvering possible with such a piece is also unknown to me. But
by reason of this same wide range in case of a check the knight has only
the first leap to do this. So if in the example above we have a knight on
b1 and a king on b5, there will be no check at all, altough the knight
could reach that square in 2 moves. The knight could jump first to c3 and
from that position there will be a check as in standard chess. 
It could be say that the knight jumps either one or two times, but checks
at the range of a common knight, that is, at one leap of distance.

In the pawns issue, I guess you just found a point of investigation for
chess++, the truth is that the game was invented with the dinamic pawns
as
a first idea. They could defend better themselves, they could retreat as
soldiers in campain, in general his movility and possibilities to block
are extended. As you say, they could interfere with the leaping pieces,
knight and bishop, and this interaction is something to understand in
play, in fact in many games.

I understand your point about the intentions of becoming an evolution to
the actual game of chess, there are really so many variants with
interesting moves or new pieces and I consider much of them as a change
or
evolution to chess, but myself think that traditional chess is full of
subtleties and that is already very good. So the part of being an
evolution is in the sense as all the rest of variants, in trying to offer
a different option and if its really playable the better.

If you wish to have a closer look at the game as it is played, I have
made
an article in the Journal of this correspondence chess site:
www.schemingmind.com   In that place are the same games as above but they
could be seen in a dinamic board.