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What is the add 11 chord?

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The major add 11 is spelled 1 3 5 11 or, equivalently, 1 3 4 5, so in C the chord has the notes C, E, G and F. As an arpeggio it's not very interesting; a 4-note subset of the major scale. You can figure that out yourself if you want to. As a chord it poses some challenges because of the semitone between the 3 and 4.
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