I have a chord with the following notes:
F♯/G♭3, (G3,) B3, D4, F4
This chord sounds to me like a harmonically dense G dominant seventh. However, I only tentatively added the note G to this in hopes to better rationalize the chord—which makes G a root that could otherwise be missing; I don't hear a significant difference when it is there and when it isn't.
The chords in this phrase are as follows: C Major, this chord, C Major (♯9). C Major, D suspended 4th, then D Major.
What is this chord? G dominant 7th add diminished 8th? How do I spell the notes? (given that there is likely some kind of cross-relation.) Does it matter whether or not the note G natural is there?