Both the 3rd fret on the guitar's A string and the 2nd fret on the guitar's E string are played with the first finger. It's an interesting chord to play- slightly curving your finger to play a barre across two frets:
The #11 in the C major7#11 chord gives this guitar chord a nice sound based on the lydian mode. It can replace chord IV in major keys, though many jazz guitarists prefer the sound of #11 chords to ordinary major7 guitar chords so it can replace chord I if you want to add harmonic interest.
Major 7#11 chords use these degrees of the major scale: 1, 3, 5, 7, #11
C Major 7#11 uses the notes: C, E, G, B, F#
Our inversion uses the notes in this order: C, G, B, E, F#
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