I always started my students off with this idea. I called it ”pivot finger" or "common finger". I came up with this whole finger relationship chart for the chords to help them get playing chords fast so we could get into songs. I haven't taught in years, but I believe I started with: A > D > E & then to D > G > A. I always tried to go to a I IV V pattern in a new, but related, key by adding 1 new chord.
FWIW that's how I learned to play an A major. 2 1 3. The beauty of it is that an A7 is as simple as lifting your index finger. Always taught it that way & then moved to the single finger barre version once the student built up some strength & endurance.
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-Steve
1927 Martin 00-21
1986 Fender Strat
1987 Ibanez RG560
1988 Fender Fretless J Bass
1991 Washburn HB-35s
1995 Taylor 812ce
1996 Taylor 510c (custom)
1996 Taylor 422-R (Limited Edition)
1997 Taylor 810-WMB (Limited Edition)
1998 Taylor 912c (Custom)
2019 Fender Tele
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