A half-diminished seventh chord is a four-note chord, which consists of four notes: the root, the minor third, the diminished fifth, and the minor seventh.
The formula 1-b3-b5-b7 represents the intervallic structure of a half-diminished seventh chord:
For example, in a C half-diminished seventh chord:
The combination of these four notes (C, Eb, Gb, Bb) creates the sound of a C half-diminished seventh chord.
Half-diminished seventh chords have a unique and somewhat dissonant quality due to the diminished fifth and the minor seventh intervals. They are often used for creating tension and adding color to compositions.
On a piano or keyboard, half-diminished seventh chords are typically played by pressing the root note, the minor third, the diminished fifth, and the minor seventh.
In guitar playing, half-diminished seventh chords are formed by pressing down specific combinations of strings and frets, following chord diagrams or finger positions.