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{|border=1px !Level !!BAB !!Fort !!Ref !!Will !!Special !!0th !!1st !!2nd !!3rd !!4th !!5th !!6th !!7th !!8th !!9th !!10th |- |'''1st''' || +0 || +0 || +0 || +2 || Academic Training, Elective || 5 || 3 || - || - || - || - || - || - || - || - || - |- |'''2nd''' || +1 || +0 || +0 || +3 || Arcane Thesis || 6 || 4 || - || - || - || - || - || - || - || - || - |- |'''3rd''' || +1 || +1 || +1 || +3 || - || 7 || 4 || 3 || - || - || - || - || - || - || - || - |- |'''4th''' || +2 || +1 || +1 || +4 || Eternal Magic, Elective || 8 || 5+1 || 4 || - || - || - || - || - || - || - || - |- |'''5th''' || +2 || +1 || +1 || +4 || Arcane Thesis || 9 || 5+1 || 4 || 3 || - || - || - || - || - || - || - |- |'''6th''' || +3 || +2 || +2 || +5 || - || 10 || 5+1 || 5 || 4 || - || - || - || - || - || - || - |- |'''7th''' || +3 || +2 || +2 || +5 || Elective || 12 || 6+1 || 5 || 4 || 3 || - || - || - || - || - || - |- |'''8th''' || +4 || +2 || +2 || +6 || Arcane Thesis || 14 || 6+1 || 5+1 || 5 || 4 || - || - || - || - || - || - |- |'''9th''' || +4 || +3 || +3 || +6 || - || 16 || 6+1 || 6+1 || 5 || 4 || 3 || - || - || - || - || - |- |'''10th''' || +5 || +3 || +3 || +7 || Elective || 18 || 6+1 || 6+1 || 5 || 5 || 4 || - || - || - || - || - |- |'''11th''' || +5 || +3 || +3 || +7 || Arcane Thesis || 20 || 7+1 || 6+1 || 6 || 5 || 4 || 3 || - || - || - || - |- |'''12th''' || +6/+1 || +4 || +4 || +8 || - || 22 || 7+2 || 6+1 || 6+1 || 5 || 5 || 4 || - || - || - || - |- |'''13th''' || +6/+1 || +4 || +4 || +8 || Elective || 25 || 7+2 || 7+1 || 6+1 || 6 || 5 || 4 || 3 || - || - || - |- |'''14th''' || +7/+2 || +4 || +4 || +9 || Arcane Thesis || 28 || 7+2 || 7+1 || 6+1 || 6 || 5 || 5 || 4 || - || - || - |- |'''15th''' || +7/+2 || +5 || +5 || +9 || - || 32 || 7+2 || 7+1 || 7+1 || 6 || 6 || 5 || 4 || 3 || - || - |- |'''16th''' || +8/+3 || +5 || +5 || +10 || Elective || 35 || 7+3 || 7+2 || 7+1 || 6+1 || 6 || 5 || 5 || 4 || - || - |- |'''17th''' || +8/+3 || +5 || +5 || +10 || Arcane Thesis || 38 || 7+3 || 7+2 || 7+1 || 7+1 || 6 || 6 || 5 || 4 || 3 || - |- |'''18th''' || +9/+4 || +6 || +6 || +11 || - || 42 || 7+3 || 7+2 || 7+1 || 7+1 || 6 || 6 || 5 || 5 || 4 || - |- |'''19th''' || +9/+4 || +6 || +6 || +11 || Elective || 46 || 7+3 || 7+2 || 7+1 || 7+1 || 7 || 6 || 6 || 5 || 5 || 3 |- |'''20th''' || +10/+5 || +6 || +6 || +12 || Arcane Thesis || 50 || 7+4 || 7+3 || 7+2 || 7+1 || 7+1 || 6 || 6 || 6 || 6 || 4 |} Academic Training is "pick 3 schools, you get their spells." Elective is "gain one spell from a school you're not studying" in a tiered pattern. Academic Training also comes with fringe benefits (conjectures): "I cast fireball while using the Einsatz Conjecture. Not only do you take 10d6 fire, but you are also now burning merrily." arcane thesis is "choose a spell you know, add one effect from list to its effects" eternal magic is "prepare X spell in your +X slots, cast a weak knock-off version whenever you like". Fireball would be your regular 10d6 when you normally cast it, but you could put it in an eternal slot and cast 4d6 10' radius fireballs all day long ==Conjectures== Swift action spell, effect of next spell you cast this round has X *+X DC *+Xd6 [energy] damage *+status effect (''slow'' for one round, immobilize, etc) *+X lingering damage *+X damage per die *+X' range *+X' AoE *Chaining *Trap-trigger *+Xd6 damage cap *+X% duration *Adds combat maneuver *Hits ethereal *+X vs SR *+X DC to Spellcraft to ID/vs counter *Turn ray into burst/line/cone/sphere
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