A half-diminished with the root on the 6th string — the ii of E minor.
Load F♯ Half-Diminished (F♯m7b5) onto an interactive fretboard, hear every note, and build it into a progression.
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A F♯ Half-Diminished (F♯m7b5) chord contains the notes F#, E, A, C. It is built from the half-diminished formula 1 - ♭3 - ♭5 - ♭7, with F# as the root.
F♯m7b5 is the ii chord of E minor and the vii chord of G major. In E minor it leads through B7 back to Em; in G major it functions as the leading-tone chord. Because both those keys are extremely common on guitar, F♯m7b5 shows up often once you move past basic minor progressions.