Let us reinforce how you work out a nine chord. If you want to play C9, it simply means you count up nine notes from the root note of C. (Demonstration) Go to D, just above the octave of C. (Demonstration)
For C9, would play C with your left hand, E and G7th, A flat, and the D note with your right hand. D note is a 9 and defines the sound of the chord. It defines the mood and sound. So, you are playing a straight C7th with your left hand, play the chord-defining D note with your right thumb, leaving the remaining fingers of your right hand to add other coloring notes to the chord. (Demonstration)
Here is a chart of C9. The music is written on the treble clef for the right hand, but the notes of the keyboard diagram are the same for the left or right hand. Build the notes of these chords with both hands.
To recap, most nine chords use the dominant flat 7 plus 9, which in this case would be that D. You can work out a nine chord in any key by counting up from the root note.
If you raised the D note a half step to D sharp, you get the chord C7 sharp 9. That is a very cool-sounding chord. You barely recognize that chord. You hear it in blues and jazz.
If you flat the nine note D to D flat, you get C7th flat 9. Here is a chart with C7 flat 9 with a flat, and D note. Flat the third along with these variations and you get another whole set of different sounding C minor chords. Try C minor sharp 9. (Demonstration) C minor 7, flat 9. (Demonstration) Here is a chart for C minor 9.
Try slipping your thumb of your left hand down a half step, from B flat to A. Lift your right hand off, just work with your left hand. (Demonstration) The notes for this chord would be C, B flat, G, and A which actually creates C minor 6. A is the 6th note up from the C in the C scale.
Try playing a Dorian scale to this chord by playing an A instead of an A flat. That would be C, D, E flat, F, G, A, B flat, C. (Demonstration)
Try playing a regular C minor or a C minor 7th chord and switching to the Aeolian natural minor scale with the A flat. (Demonstration) Play a C minor 6 and use a Dorian with the A natural note to match the chord.
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