What function do 9th, 11th, and 13th chords serve in music (most notably jazz)?
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Are they just for added color? I know all about chords including 7ths but have little to no knowledge on these chords. As a jazz drummer I feel I should know more about these.
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Answer:
In music, their are only major and minor chords. When you start adding one or two notes, the name of the chord changes because of those add-ons. Example, if you play a G-major chord and add a 6th note to that chord, it is called a G6 and if you add the F-note to it, it is considered a 13th chord. or even a G7+6. Take your pick. its all about maths. Just like using a G7sus 4 . It can also be called a G11 chord. All-in-all, it adds color and usually good for the person soloing over those chord. You are emphasizing a certain note and compliments the musician's note in soloing or vice-versa.
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Other answers
I just think of them as different sonic colors. I could give you a ton of theoretical explanation, but a good part of it is personal preference. Think of the melody as a person that you can clothe in different colors, or as a food that you can put different spices or sauces onto. Sweet, sour, spicy, bitter... all preferences. Same with whether I want to use a 7th, 9th, 11th, added tension tones, or a simple triad. A country player, jazz player, and a classical player might all make different choices, all of which can sound good in their own way.
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