The Dm7 chord = 1-b3-5-b7 (D-F-A-C)
The FMaj7 chord= 1-3-5-7 (F-A-C-E)
The CMaj7 chord= 1-3-5-7 (C-E-G-B)
Yes, the D Dorian mode = 1-2-b3-4-5-6-b7 (D-E-F-G-A-B-C).
Something I would like to point out from the reference above are the intervals. Notice how the notes from the chords Leap Frog over the notes in the Dorian mode. D then jump over E, etc........... They follow the notes in the chords. Notice the interval differences from each chord. Remember the Dorian mode is a minor mode, so when improvising over a chord progression it's important to listen to the intervals for the best solo.
Example: Look at the FMaj7 chord, the notes fit in the Dorian mode but it's important to remember it's a Major 7th chord and that 7th interval tends to leave you hanging if you try to end a measure on it. This 7th note is commonly referred to as a leading tone because it wants to resolve on it's root. Try it, play the Ionian (Major scale) 1-2-3-4-5-6-7 and stop. That 7th tone will want to go home to make it sound complete. Now play the Aeolian (Natural minor scale) 1-2-b3-4-5-b6-b7 and stop. It's important to choose the tones that compliment the tonal center rather than just ripping along on any ol' note because it's in key, if you want to really shine.
