A7 chords with alternative bass notes

A7 chords for piano with alternative bass notes presented by keyboard diagrams.
Explanation: The slash in the chord name indicates that the second letter is added as a new bass note. A7/G# should therefore be read as A seventh chord with a G# note in the bass and so forth.
Theory: A7/F# could be seen as an inversion of A13 with the ninth and the eleventh omitted.

A7/G#

A7/G# chord diagram
Notes: G# - A - C# - E - G

A7/F#

A7/F# chord diagram
Notes: F# - A - C# - E - G

A7/F

A7/F chord diagram
Notes: F - A - C# - E - G

A chord categories

A Am A7 Am7 Amaj7 AmM7 A6 Am6 A6/9 A5 A9 Am9 Amaj9 A11 Am11 A13 Am13 Aadd A7-5 A7+5 Asus Adim Adim7 Am7b5 Aaug Aaug7