To play the Cm chord, perform a barre by pressing your index finger on the C-string, E-string, and bottom-A string on the 3rd fret. Let the other string ring open.
The C minor chord contains the notes C-Eb-G.
To build a Cm chord, take the minor triad formula (1-b3-5) and apply it to the C major scale (C, D, E, F, G, A, B).
Identify the first, third, and fifth scale degrees in a C major scale which are C-E-G.
Because the chord Cm is a minor chord, lower the third scale degree a half step in accordance with the minor triad formula, which results in the notes C-Eb-G for the C minor chord.
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