you can also wrap your fingers around the guard, you can "punch" with the sword.
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You can also reverse the grip entirely and slash and punch with the resulting positioned weapon.
There's lots of little things.
When working with weapons, the main thing is retention of the weapon and good basics in the use of it. the rest is gravy in many respects as it is unlikely you will be facing another swordsman when you bring out your sword.
But if you do, Kung Fu is your friend because it is one of the few martial arts available that deals with these weapons and many others.
Sure, other ma's have weapons, but not with the depth and complexity and variety of TCMA.
be wary of a kung fu school that doesn't teach at the very least staff and broadsword.
Kung Fu is good for you.