There's a guitar reference book called Guitar Grimoire scales and modes. A chord is said to be compatible with a scale if all of its tones already are present in the scale.
The Bebop Major scale, Mode I, is: 1-2-3-4-5-b6-6-7 (degree numbers relative to Major scale, Mode I). And one of the stated compatible chords is a 9th:
However, b7 is not in the scale. One thing that came to mind is something I read a while back stating that sometimes a tone is not played in the chord, and in this case that tone would be the b7. Is that right?
Or is there something else going on? Its definitely not talked about in this volume of Grimoire.
I also tried moving the chord around over top the scale to see if the tones are present if begun on a different root note, but nope, that didn't work.
Edit Regarding, my last statement, I've found that if you start at the 5th degree, then we have:
1-2-3-4-5-b6-6-7-1-2-3-4-5-b6-6-7-... as the scale and:
Thus the notes are present if we translate the root of the chord up to the 5th degree of teh scale.
Does that help the question out at all, or have I gone off track and the chord is definitely not compatible when translated up like that?