
Azothath |
Arithmancy (Magic or General) (Arthmcy) {Replacement of RAW feat} Source: Occult Mysteries pg 48
Description: You are able to unravel the hidden meanings behind words by translating them into numerical equations so your spellcasting can be enhanced by your divinations. You apply this insight when preparing spells and when casting certain spells on occasion.
Prerequisites: Spellcasting ability (Spell-like or Supernatural abilities do not qualify), Int 13, one of (Diviner wizard, Harrow Bloodline, Knowledge Domain, Occult Mystery, Lore Spirit, Spell Focus (divination)), Spellcraft 3 ranks.
Benefit: You have diligently calculated the digital root [a number from 1 to 9] of each spell using the Digital Roots table.
When you acquire this feat or at every even level in a spellcasting class you must note up to your primary spellcasting ability score bonus in metamagic feats which your arithmancy feat can use. You must meet the requirements to use these metamagic feats.
In the last hour when you memorize or prepare spells roll 1d10 to determine your Daily Number(which lasts 24hrs), a roll of 10 or zero indicates no number that day, adding 1 to 10 results in “1” while subtracting 1 results in “9”. At the time you rolled your Daily Number if you have a sacred or luck bonus you may add 1 otherwise if you have a profane or insight bonus you may subtract 1 from your Daily Number (this may involve spellcasting, a magic item, or a class ability). The Daily Number determines which spells you will have a greater influence on that day. You then finish memorizing or preparing your spells.
As a swift action (or move action for spontaneous casters) as part of spellcasting you may augment a Digital Root spell which matches your Daily Number with a (+0 to +2 {including Heighten by adjusting spell level}) metamagic by sacrificing a spell of at least the same adjusted spell level from the divination school up to your primary spellcasting ability score times per day. Having the metamagic feat means the sacrificed spell level may be 1 lower but cannot be lower than the spell level of the original spell to be modified.
Other metamagic feats, traits, and class abilities do not lower the resulting spell level for determining the divination spell to be sacrificed.
Digital Roots table (ignore spaces, proper names, and diacritical marks)
Letter Value
a, j, s 1
b, k, t 2
c, l, u 3
d, m, v 4
e, n, w 5
f, o, x 6
g, p, y 7
h, q, z 8
i, r, symbols(+, -, #, etc) 9
To calculate a digital root convert all letters & symbols to digits, numbers are left as digits, then add each together forming sums until a single digit remains.
Calculating digital root examples: “Summon Monster 3” = 1+3+4+4+6+5 +4+6+5+1+2+5+9 +3 = 58 {5+8} = 13 {1+3} = 4. “Ear-Piercing Scream” = 5+1+9 +9 +7+9+5+9+3+9+5+7 +1+3+9+5+1+4 = 101 {1+0+1} = 2. “Fireball” = 6+9+9+5+2+1+3+3 = 38 {3+8} = 11 {1+1} = 2. hint: base 10 means successive values of 9 does not change the final digital root summation. Casters with this feat should calculate all digital roots for their spells to prevent a slowdown during play.
Using Arithmancy example: the wizard Ezren of Int:18(+4) has Magical Lineage(fireball), Arithmancy, and Persistent metamagic, he has noted Heighten, Extend, Merciful, and Persistent as metamagic feats for Arithmancy. Ezren rolled a Daily Number of 2 so then wisely memorized fireball:K3(digital root 2) twice, persistent fireball:K4, detect thoughts:D2, clairvoyance:D3, and scrying:D4.
Later he casts persistent fireball as a standard action upon his foes. Then as his foes have not fallen he casts a fireball with persistent as an added metamagic via arithmancy, he must sacrifice scrying(fireball + persistent(+2) = 5 minus 1 for having persistent equals a divination of spell level 4, magical lineage has no effect) as a swift action added to the standard action of casting fireball. The next round he casts a merciful(+0) fireball using arithmancy but does not have the merciful metamagic feat and must sacrifice clairvoyance at 3rd spell level. He has two uses of arithmancy left for the day.
* this is far easier to implement and check than the original feat *
yes, you could lower the uses per day to half the primary spellcasting ability bonus(PSAB) but that would be kinda low. 3+PSAB is too much...
the only drawback is it does open up +0 metamagics which is why limiting the usable metamagic feats is important.

Azothath |
edit *dang* ...
As a swift action (or move action for spontaneous casters) as part of spellcasting you may augment a Digital Root spell which matches your Daily Number with a (+0 to +2 {including Heighten by adjusting spell level}) metamagic by sacrificing a spell of at least the same adjusted spell level from the divination school up to your primary spellcasting ability score bonus times per day. Having the metamagic feat means the sacrificed spell level may be 1 lower but cannot be lower than the spell level of the original spell to be modified.
I realized the abbreviation should be "PSASB" but it's a mouthfull as is... and I did answer the roman numeral conversion question...