Graceful Grappler (Ex)
A tetori uses his monk level in place of his base attack bonus to determine CMB and CMD for grappling. At 4th level, he suffers no penalties on attack rolls, can make attacks of opportunity while grappling, and retains his Dexterity bonus to AC when pinning an opponent or when grappled. At 8th level, a tetori gains the grab special attack when using unarmed strikes, and can use this ability against creatures his own size or smaller by spending 1 point from his ki pool, or against larger creatures by spending 2 points from his ki pool. At 15th level, a tetori gains the constrict special attack, inflicting his unarmed strike damage on any successful grapple check.
This ability replaces flurry of blows.
How does the first part of Graceful Grappler (Emphasis mine), interact with multiclass BAB? I recall seeing another ability somewhere that referenced using it's class level instead of BAB, and if you have multiclassed you only use it's class level for it's part of the characters BAB.
Edit: Alright, my girlfriend reminded me of the FAQ on flurry of blows.
The monk rules for flurry of blows state: "For the purpose of these attacks, the monk's base attack bonus is equal to his monk level." How does this interact with BAB from class levels and racial Hit Dice? Does a multiclassed fighter 19/monk 1 flurry as if his BAB were only +1?
A monk using flurry treats his BAB from monk levels as equal to his monk level. He still adds BAB from other sources (such as other classes or racial Hit Dice) normally to this total.
So a fighter 19/monk 1 has a normal BAB of +19. When he flurries, he treats his monk BAB as +1 (for his 1 level of monk) and still gets BAB +19 from his fighter levels, for a total flurry BAB of +20.
So, basically the question is does Graceful Grappler work like this?
The same way flurry of blows (link) does.
Thats what I figured, just had to make sure (and see if there was anything refuting that). Also... I half-ninja'd your answer in my edit XD.