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Sandman1221 said..
If the board has a DT foil box, the only way to adjust the balance of the kit is to move the sail mast base.
Not all. It is the easiest and quickest way for most people, though. You should add
a) boom height
b) foot strap location
c) stab shimming
d) foil fore/aft angle ie shimming foil at foilbox
e) sail, whether draft forward or aft
f) board heel dynamically altering balance of kit by reducing foil lift. e.g. faster foilers use this to decrease amount of lift at higher speeds.
The greater the distance between the center of gravity/pressure to the center of lift, the more stable things should be. "The longitudinal static stability of an aircraft depends on the location of its center of gravity relative to the neutral point. As the center of gravity moves increasingly forward, the pitching moment arm is increased, increasing stability.[5][4] The distance between the center of gravity and the neutral point is defined as "static margin". ...The greater the static margin, the more stable the aircraft will be." -
en.wikipedia.org/wiki/Longitudinal_stability#Static_stabilityThis is also why longer fuses are more stable: longer moment arms.
However, as mentioned by some above, moving the sail much closer to the mast reduces the effect of having power in the sail altering ride height. It doesn't so much alter the physics of the balance but reduces how much sail pressure influences ride height. By similar token, one principal reason for shorter boom foil sails is the same - longer boomed sails especially on the big side are less ride stable.