Well the number also goes up when you level but you do get to cast more per day than mages.
you get a set base number for each level of magic. example:
you have three first level spells A B C and you can cast 7 first level spells per day.
Well you can cast A three times, B three times and C once or any pattern like that.
As for how many spells per level you can choose... it goes a little something like this.
at level 9 you can choose 1 level 4 spell and 2 level 5 spells and at level 10 you can choose 1 level 5 spell and 2 level 6 spells. Now that was just an example I am not 100% positive on how it goes.
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