In it's description it is said that it is "rapier-shaped" and a few times handle was mentioned so I guess it has all your usual rapier/sword attributes (lenght, shape) just that material is not steel and the tip is not as sharp as sword or rapiers.
Here you can clearly how it looks
http://www.baka-tsuki.net/project/index ... 02-247.jpg
Though it looks like it is made from steel there was a few times mentioned wooden so I guess it is sort of special wood...
It is still not meant to wound at physical combat. The tip is not sharp enough while edges are not sharp too.
It can still block enemies swords (like Saitos) bit it cannot wound anyone by itself. You need magic for that.
I would guess (it is only my guess) is that sharp ended tools are not good to cast various magic as you would need much more facus and energy used to focus magic on the very tip and because the sharpened tip it might be less powerful.
I would guess if the tip is wider you dont need to use that much strength to focus your energy, you can realease your magic faster and it can cover more with greater strength.
Besides, if a commoner would get such cane he would have no use from it, since as a physical weapon it is useless to kill someone.
So I would not call it as simple as sword as rapier.
It isn't staff since staff looks like this
http://www.baka-tsuki.net/project/index ... 03-151.JPG
And with wand I would call this:
http://www.baka-tsuki.net/project/index ... 08-261.jpg
But I guess it could be called wand too. I used cane, but I do not know really how it should be called.