I don’t know how I missed this when I was searching for information

Or how I missed this from Tsidkenu
Tsidkenu wrote: ↑Thu Oct 18, 2018 10:26 pm
If you want the math as to why it's below.
ADSP Turning check (assuming 14 base CHA + Eagle's)
1d20 +3 (innate DSP Bonus) +4 (CHA) = 8-27.
10% chance of -1 CL (Total roll 8-9)
15% chance of +0 CL (Total roll 10-12)
15% chance of +1 CL (Total roll 13-15)
15% chance of +2 CL (Total roll 16-18)
15% chance of +3 CL (Total roll 19-21)
15% chance of +4 CL (Total roll 22-24)
15% chance of +5 CL (Total roll 25-27)
=60% chance of CL 35 with Hiero Spellpower III and 15% chance of CL 38.
With 16 base CHA + Eagle's (thus 1d20 +3 +5 = 9-28) you get a max CL of +6
5% chance of -1 CL (Total roll 9)
15% chance of +0 CL (Total roll 10-12)
15% chance of +1 CL (Total roll 13-15)
15% chance of +2 CL (Total roll 16-18)
15% chance of +3 CL (Total roll 19-21)
15% chance of +4 CL (Total roll 22-24)
15% chance of +5 CL (Total roll 25-27)
5% chance of +6 CL (Total roll 28)
65% chance of CL 35+ and 20% chance of CL 38.
DSP Turning Check with Master of Energy (assuming 14 base CHA + Eagle's)
1d20 +3 (Innate DSP bonus) +4 (CHA) +4 (MoE)
5% chance of +0 CL (Total roll 12)
15% chance of +1 CL (Total roll 13-15)
15% chance of +2 CL (Total roll 16-18)
15% chance of +3 CL (Total roll 19-21)
50% chance of +4 CL (Total roll 22-31*)
*DSP cannot exceed a total bonus of +4 CL.
The above allocation in addition to Hierophant Spell Power III will give you a reasonable 80% chance of getting a min CL of 35 for an epic DC point but 0% chance of reaching CL 38 (no ADSP).
If you have ADSP + MoE it is as follows:
5% chance of +0 CL (Total roll 12)
15% chance of +1 CL (Total roll 13-15)
15% chance of +2 CL (Total roll 16-18)
15% chance of +3 CL (Total roll 19-21)
15% chance of +4 CL (Total roll 22-24)
15% chance of +5 CL (Total roll 25-27)
15% chance of +6 CL (Total roll 28-30)
5% chance of +7 CL (Total roll 31)
Meaning you have a 35% chance of reaching the sweet spot of CL 38 for another DC point (in combination with Spell Power III) and an 80% chance of consistently reaching at least CL 35
Of course a full CHA aasimar cleric with MoE takes full advantage of ADSP.
1d20 +3 (Innate DSP Bonus) +14 (CHA) +4 (MoE) = 22-41
15% chance of +4 CL (Total roll 22-24)
15% chance of +5 CL (Total roll 25-27)
15% chance of +6 CL (Total roll 28-30)
15% chance of +7 CL (Total roll 31-33)
15% chance of +8 CL (Total roll 34-36)
15% chance of +9 CL (Total roll 37-39)
10% chance of +10 CL (Total roll 40-41)
A CHA cleric will have poor DCs despite the caster level increase because of its consequentially low Wisdom scores, so it's use is primarily to extend buff duration and spell resistance granted by the 5th level spell for a juicy 55 SR with hierophant Spell Power III.
Not to mention I forgot about adding the +3 innate bonus to turning check
Anyway, all the above confirms that Empower Turning and Improved Turning should not impact Divine Spell Power at all. Master of Energy is a must. Then the math for taking Advanced Divine Spell Power in my case is:
- With 2 Hierophant’s spellpower feats and 32 CL at the start, the chance for +1 DC (+3 CL) is 65%, while the chance for +2 DC (+6 CL) is 20%
- With 3 Hierophant’s spellpower feats and 33 CL at the start, the chance for +1 DC (+2 CL) is 80%, while the chance for +2 DC (+6 CL) is 35%
Trouble is I may be forced to take either 3rd spellpower or Advanced Divine Spell Power. So the choice is between increasing +1 DC chance from 65% to 80% or getting 20% chance for +2 DC. It kind of feels like the 20% chance to have 5 percentage points higher chance of success is not really worth it, but I’m not sure.
On a related note, since Empower Turning and Improved Turning do not contribute I have one pre-epic feat slot empty. I already have 2 spell focus feats, spellcasting prodigy, extend spell and divine spell power. Any ideas what I could take?