All the permutations/inversions of an F Major seventh chord

What are all of the inversions/permutations of an F Major seventh chord? Please include all slash chords.

An F Major seventh chord, denoted as Fmaj7, is made up of the notes F, A, C, and E. In addition to the standard inversions, we can also consider various "slash chords," which are chords with a specified bass note that might not be part of the original chord structure.

First, let's look at the standard inversions of the Fmaj7 chord:

1. Root Position: Fmaj7

   • Chord: F - A - C - E
   • Bass Note: F

2. First Inversion: Fmaj7/A

   • Chord: A - C - E - F
   • Bass Note: A

3. Second Inversion: Fmaj7/C

   • Chord: C - E - F - A
   • Bass Note: C

4. Third Inversion: Fmaj7/E

   • Chord: E - F - A - C
   • Bass Note: E

Now, for the slash chords, any note can technically be the bass note, even if it's not part of the original Fmaj7 chord. However, typically the most musically useful slash chords use notes that are either part of the chord or closely related to it. So, I'll list slash chords using the notes of the Fmaj7 chord and the immediate diatonic (belonging to the key of F major) extensions:

1. Fmaj7/B♭: B♭ in the bass.

   • This adds a b7 (B♭), creating a Fmaj7♭13 sound.

2. Fmaj7/D: D in the bass.

   • This adds a 6th (D), creating a Fmaj7(add13) sound.

3. Fmaj7/G: G in the bass.

   • This adds a 9th (G), creating a Fmaj7(add9) sound.

These slash chords offer different textures and can be used to create interesting bass movements or harmonic variations in a musical context. Keep in mind that the practical use of these slash chords depends on the musical setting and the desired harmonic effect.