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A/G#
This is a very common way to play the A/G# chord in the open position. Imagine it’s an A chord with the lowest note being G#. It sounds weird, but some songs require this moving bass line.
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A/G
There’s a couple of ways you can play this in the open position. The first one just assumes that you fret the open A chord normally and then add the G note on the 3rd fret of the low E string. That way you can still play the high E open. Another way is as…