The b9 is not commonly over a Major 7 chord. This melody is one a wrote to help me incorporate it’s use into my melodic improvisation.
In this context it functions as a passing tone between the root and the major 3rd of the chord.
~ Enjoy!
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Here’s another lesson using the 9b on a major 7th chord:
Here’s another lesson using the #9 on the major 7th chord:
Lesson 154: Major 7 b9 Melody